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## TN.AAT.Advanced Algebra & Trigonometry (3136)

3124.1.0. Mathematical Processes
Check for Understanding (Formative/Summative Assessment)
3124.1.3. Derive and apply the formulas for the area of the triangle and the sector of a circle.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

Course Level Expectations
CLE 3124.1.1. Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3124.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3124.1.3. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3124.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3124.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3124.2.0. Number & Operations
Check for Understanding (Formative/Summative Assessment)
3124.2.4. Classify real numbers and order real numbers that include transcendental expressions, including roots and fractions of pi and e. Discuss the problems with ordering the complex numbers in relationship to their arithmetic operations.
Flip Charts The Real Numbers

Course Level Expectations
CLE 3124.2.2. Represent, interpret or compare expressions for real numbers, including expressions utilizing exponents and logarithms.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3124.3.0. Algebra
Course Level Expectations
CLE 3124.3.2. Identify or analyze the distinguishing properties of exponential, polynomial, logarithmic, trigonometric, and rational functions from tables, graphs, and equations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

CLE 3124.3.5. Solve problems by converting the given verbal information into an appropriate mathematical model involving equations or systems of equations; apply appropriate techniques to analyze these mathematical models; and interpret the solution obtained in written form using appropriate units of measurement.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

3124.5.0. Data Analysis, Statistics, & Probability
Check for Understanding (Formative/Summative Assessment)
3124.5.2. Explain when it is appropriate to use a regression equation to make predictions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

3124.5.8. Visually estimate the correlation coefficient (e.g., positive or negative, closer to 0, 0.5, or 1.0) of a scatterplot.

## TN.AI.Algebra I (3102)

Algebra I (3102)
3102.1.0. Mathematical Processes
State Performance Indicators
SPI 3102.1.2. Write an equation symbolically to express a contextual problem.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

SPI 3102.1.3. Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

Checks for Understanding (Formative/Summative Assessment)
3102.1.1. Develop meaning for mathematical vocabulary.
Flip Charts Algebra Skills
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3102.1.15. Apply arithmetic concepts in algebraic contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3102.1.2. Use the terminology of mathematics correctly.
Flip Charts Algebra Skills
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3102.1.3. Understand and use mathematical symbols, notation, and common mathematical abbreviations correctly.
Flip Charts Algebra Skills
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3102.1.5. Use formulas, equations, and inequalities to solve real-world problems including time/rate/distance, percent increase/decrease, ratio/proportion, and mixture problems.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

3102.1.7. Identify missing or irrelevant information in problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3102.1.9. Identify and use properties of the real numbers (including commutative, associative, distributive, inverse, identity element, closure, reflexive, symmetric, transitive, operation properties of equality).
Flip Charts The Real Numbers

Course Level Expectations
CLE 3102.1.1. Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3102.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3102.1.3. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3102.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3102.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3102.2.0. Number and Operations
Checks for Understanding (Formative/Summative Assessment)
3102.2.1. Recognize and use like terms to simplify expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3102.2.4. Operate efficiently with both rational and irrational numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3102.2.7. Identify the subsets in the real number system and understand their relationships.
Flip Charts The Real Numbers

Course Level Expectations
CLE 3102.2.1. Understand computational results and operations involving real numbers in multiple representations.
Flip Charts The Real Numbers

CLE 3102.2.2. Understand properties of and relationships between subsets and elements of the real number system.
Flip Charts The Real Numbers

3102.3.0. Algebra
State Performance Indicators
SPI 3102.3.2. Operate with polynomials and simplify results.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

SPI 3102.3.7. Determine domain and range of a relation, determine whether a relation is a function and/or evaluate a function at a specified rational value.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

SPI 3102.3.8. Determine the equation of a line and/or graph a linear equation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

SPI 3102.3.9. Solve systems of linear equation/inequalities in two variables.

Checks for Understanding (Formative/Summative Assessment)
3102.3.1. Recognize and extend arithmetic and geometric sequences.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

3102.3.11. Solve multi-step linear equations with one variable.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

3102.3.13. Solve multi-step linear inequalities with one variable and graph the solution on a number line.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3102.3.16. Determine if a relation is a function from its graph or from a set of ordered pairs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

3102.3.19. Explore the characteristics of graphs of various nonlinear relations and functions including inverse variation, quadratic, and square root function. Use technology where appropriate.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

3102.3.2. Explore patterns including Pascal's Triangle and the Fibonacci sequence.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

3102.3.20. Understand that a linear equation has a constant rate of change called slope and represent slope in various forms.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

3102.3.22. Express the equation of a line in standard form, slope-intercept, and point-slope form.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

3102.3.23. Determine the graph of a linear equation including those that depict contextual situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

3102.3.26. Graph linear inequalities on the coordinate plane and identify regions of the graph containing ordered pairs in the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

3102.3.27. Determine the number of solutions for a system of linear equations (0, 1, or infinitely many solutions).

3102.3.28. Solve systems of linear equations graphically, algebraically, and with technology.

3102.3.35. Apply growth/decay and simple/compound interest formulas to solve contextual problems.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

3102.3.5. Add, subtract, and multiply polynomials including squaring a binomial.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3102.3.7. Use various models (including area models) to represent products of polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

Course Level Expectations
CLE 3102.3.2. Understand and apply properties in order to perform operations with, evaluate, simplify, and factor expressions and polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

CLE 3102.3.5. Manipulate formulas and solve literal equations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

CLE 3102.3.6. Understand and use relations and functions in various representations to solve contextual problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

CLE 3102.3.7. Construct and solve systems of linear equations and inequalities in two variables by various methods.

3102.4.0. Geometry and Measurement
State Performance Indicators
SPI 3102.4.1. Develop and apply strategies to estimate the area of any shape on a plane grid.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

Checks for Understanding (Formative/Summative Assessment)
3102.4.1. Using algebraic expressions solve for measures in geometric figures as well as for perimeter, area, and volume.
Flip Charts Algebra Skills

Course Level Expectations
CLE 3102.4.1. Use algebraic reasoning in applications involving geometric formulas and contextual problems.
Flip Charts Algebra Skills

3102.5.0. Data Analysis, Statistics, and Probability
State Performance Indicators
SPI 3102.5.3. Using a scatter-plot, determine if a linear relationship exists and describe the association between variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

SPI 3102.5.5. Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

Checks for Understanding (Formative/Summative Assessment)
3102.5.10. Using technology with a set of contextual linear data to examine the line of best fit; determine and interpret the correlation coefficient.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

3102.5.14. Determine if two events are independent or dependent.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3102.5.5. Construct and interpret various forms of data representations, (including line graphs, bar graphs, circle graphs, histograms, scatter-plots, box-and-whiskers, stem-and-leaf, and frequency tables).
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3102.5.8. Examine real-world graphical relationship (including scatter-plots) to determine type of relationship (linear or nonlinear) and any association (positive, negative or none) between the variables of the data set.

Course Level Expectations
CLE 3102.5.2. Use statistical thinking to draw conclusions and make predictions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

CLE 3102.5.3. Understand basic counting procedures and concepts of probability.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

## TN.AII.Algebra II (3103)

Algebra II (3103)
3103.1.0. Mathematical Processes
Checks for Understanding (Formative/Summative Assessment)
3103.1.2. Compare and contrast sampling techniques and identify the best technique for a given situation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Course Level Expectations
CLE 3103.1.1. Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3103.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3103.1.3. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3103.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3103.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3103.2.0. Number and Operations
State Performance Indicators
SPI 3103.2.1. Describe any number in the complex number system.
Flip Charts The Real Numbers

SPI 3103.2.2. Compute with all real and complex numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Checks for Understanding (Formative/Summative Assessment)
3103.2.2. Define and give examples of each of the types of numbers in the complex number system.
Flip Charts The Real Numbers

Course Level Expectations
CLE 3103.2.2. Connect numeric, analytic, graphical and verbal representations of both real and complex numbers.
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

3103.3.0. Algebra
State Performance Indicators
SPI 3103.3.1. Add, subtract and multiply polynomials; divide a polynomial by a lower degree polynomial.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

SPI 3103.3.12. Interpret graphs that depict real-world phenomena.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Checks for Understanding (Formative/Summative Assessment)
3103.3.1. Perform operations on algebraic expressions and justify the procedures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3103.3.14. Define and use arithmetic and geometric sequences and series including using sigma and pi notation.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

Course Level Expectations
CLE 3103.3.1. Understand and apply properties of rational exponents and perform basic operations to simplify algebraic expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

CLE 3103.3.2. Understand, analyze, transform and generalize mathematical patterns, relations and functions using properties and various representations.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

CLE 3103.3.3. Analyze and apply various methods to solve equations, absolute values, inequalities, and systems of equations over complex numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

3103.5.0. Data Analysis, Statistics and Probability
State Performance Indicators
SPI 3103.5.3. Analyze patterns in a scatter-plot and describe relationships in both linear and non-linear data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

SPI 3103.5.8. Apply probability concepts such as conditional probability and independent events to calculate simple probability.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

Checks for Understanding (Formative/Summative Assessment)
3103.5.1. Collect, represent and describe both linear and non-linear data developed from contextual situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

3103.5.13. Apply both theoretical and experimental probability to analyze the likelihood of an event.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3103.5.2. Organize and display data using appropriate methods (including spreadsheets and technology tools) to detect patterns and departures from patterns.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

3103.5.3. Read and interpret data from a two-way table.

3103.5.4. Understand the impact of various sampling methods and use them to draw valid conclusions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

3103.5.5. Calculate measures of central tendency and spread (variance and standard deviation).
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Course Level Expectations
CLE 3103.5.2. Evaluate and critique various ways of collecting data and using information based on data published in the media.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

CLE 3103.5.3. Use data and statistical thinking to draw inferences, make predictions, justify conclusions and identify and explain misleading uses of data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

## TN.BM.Bridge Math (3181)

Bridge Math (3181)
3181.1.0. Ways of Looking: Students learn mathematics best by being introduced to concepts that they have previously studied in a new approach. The concepts in this section appear in a manner that emphasizes their basic definition. This presentation of each concept is based upon the format that would be a “best practice” of introducing the particular concept.
3181.1.1. Diagrammatic Mathematics
3181.1.1.1. Identify the graph of a linear inequality on the number line.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

3181.1.1.5. Apply a variety of strategies to determine the circumference and the area for circles.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

3181.1.2. Verbal Mathematics
3181.1.2.2. Apply similar triangles to solve problems, such as finding heights and distances.

3181.1.2.3. Use several angle properties to find an unknown angle measure (i.e. supplementary, complementary, vertical, angles along a transversal, and sum of angles in a polygon).
Flip Charts Plane Geometry

3181.1.2.4. Describe, compare, and contrast plane and solid figures using their attributes.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

3181.1.3. Symbolic Mathematics
3181.1.3.2. Develop a thorough understanding of both rational and irrational numbers: make both historical and concrete connections between irrational numbers, and the real world.
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3181.1.3.3. Use mathematical symbols and variables to express a relationship between quantities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

3181.1.3.4. Model a variety of problem situations with expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

3181.1.3.7. Perform polynomial arithmetic, including addition, subtraction, multiplying, dividing, factoring, and simplifying results.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3181.1.4. Graphic Mathematics
3181.1.4.1. Understand that a linear function models a situation in which a quantity changes at a constant rate, m, relative to another.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

3181.1.4.6. Identify and calculate the measures of central tendency and spread in a set of data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3181.1.4.7. Understand the correlation coefficient and its role in measuring the goodness of fit for a model for a data set.

3181.1.4.8. Analyze data to make predictions based on an understanding of the data set, for example, use a scatter-plot to determine if a linear relationship exists and describe the association between the variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3181.1.5. Numeric Mathematics
3181.1.5.1. Understand that there are numbers that are not rational numbers, called irrational numbers, e.g., π, e, and √2, which together with the rational numbers form the real number system that satisfies the laws of arithmetic.
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

3181.1.5.2. Apply and use elementary number concepts and number properties to model and solve nonroutine problems that involve new ideas.
Flip Charts The Real Numbers

3181.1.5.4. Find the probability of simple events, disjoint events, compound events, and independent events in a variety of settings using a variety of counting techniques.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3181.2.0. Making Connections: Making connections allows those concepts that need a more complex look to be studied through two different modalities. This allows connections to be made between the concepts, and allows for a more in-depth understanding of the topics supporting the foundation for problem solving application. In addition, building topics in this manner helps students work problems of a higher depth of knowledge level.
3181.2.1. Symbolic & Diagrammatic Mathematics
3181.2.1.1. Use the laws of exponents to simplify and interpret expressions for exponential functions, recognizing positive rational exponents as indicating roots of the base and negative exponents as indicating the reciprocal of a power.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3181.2.1.2. Solve a linear inequality and provide an interpretation of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3181.2.1.4. Investigate the properties of plane figures, developing precise mathematical descriptions of geometric shapes, both in the plane and in space.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3181.2.2. Symbolic & Verbal Mathematics
3181.2.2.1. Explain, solve, and/or draw conclusions for complex problems using relationships and elementary number concepts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3181.2.2.3. Write ratios, proportions, and solve proportions in a contextual setting for an unknown value.
Flip Charts Applying Percents
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3181.2.2.4. Solve literal equations for any variable; interpret the results based on units.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

3181.2.3. Symbolic & Numeric Mathematics
3181.2.3.2. Use the rules of exponents to develop an understanding of the difference between the rational and real numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3181.2.3.3. Recognize functions as mappings of an independent variable into a dependent variable.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

3181.2.4. Symbolic & Graphic Mathematics
3181.2.4.1. Graphically represent the solution to a linear equation and the solution to a system of linear equations in two variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

3181.2.4.2. Graphically represent the solution to a linear inequality and the solution to a system of linear inequalities in two variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

3181.2.6. Numeric & Diagrammatic Mathematics
3181.2.6.1. Understand and use basic counting techniques in contextual settings.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3181.2.6.2. Use counting techniques to calculate probabilities for conditional and independent events.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3181.3.0. Applications: Ways of Looking at the World. Students are confronted with different ways to look at the world. Here students look at multiple representations of concepts, blend their new understanding of topics with applications, and have the opportunity to model contextual situations. Various applications should be addressed each week, throughout the course to support theoretical learning and increased complexity.
3181.3.1. Applications with Numbers
3181.3.1.2. Solve problems involving percent of increase or decrease, for example mark-ups and mark-downs.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

3181.3.2. Applications with Geometry
3181.3.2.1. Solve problems involving ratios in geometric settings, such as similar figures and right triangle distance problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3181.3.3. Applications with Functions
3181.3.3.2. Solve problems involving direct and inverse variations, such as frequency, interest, and pressure.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

3181.3.4. Applications with Data
3181.3.4.1. Solve problems involving constructing and interpreting pie charts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3181.3.4.2. Solve problems that use the construction and interpretation of Venn diagrams to analyze the attributes of a set of data, for example logic and counting problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

## TN.C.Calculus (3113)

Calculus (3113)
3113.1.0. Mathematical Processes
Course Level Expectations
CLE 3113.1.1. Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3113.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3113.1.3. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3113.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3113.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

## TN.DMSP.Discrete Mathematics with Statistics and Probability (3135)

Discrete Mathematics with Statistics and Probability (3135)
3135.1.0. Mathematical Processes
Check for Understanding (Formative/Summative Assessment)
3135.1.4. Use inductive and deductive reasoning strategies to make predictions and valid conclusions based on contextual situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3135.1.6. Apply various problem-solving strategies to model and interpret physical, social, and mathematical phenomena.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

Course Level Expectations
CLE 3135.1.1. Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3135.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3135.1.3. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3135.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3135.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3135.2.0. Number & Operations
Course Level Expectations
CLE 3135.2.2. Apply appropriate counting techniques in discrete situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3135.3.0. Algebra
Course Level Expectations
CLE 3135.3.1. Represent and analyze functions by using iteration and recursion.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

CLE 3135.3.5. Derive basic combinatorics identities by counting the same sets two different ways to get a basic identity.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3135.4.0. Geometry & Measurement
Check for Understanding (Formative/Summative Assessment)
3135.4.2. Apply estimation techniques to data given in a variety of ways.

3135.5.0. Data Analysis, Statistics, & Probability
Check for Understanding (Formative/Summative Assessment)
3135.5.1. Design and interpret simple experiments using tree-diagrams, permutations, and combinations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

3135.5.2. Use reasoning and formulas to solve counting problems in which repetition is not allowed and in which ordering does not matter.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3135.5.5. Solve counting problems by using Venn diagrams and show relationships modeled by the Venn diagram.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Course Level Expectations
CLE 3135.5.1. Represent, analyze, and apply permutations and combinations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

CLE 3135.5.3. Apply counting principals to probabilistic situations involving equally likely outcomes.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

## TN.FI.Math Foundations I (3130)

Math Foundations I (3130)
3130.1.0. Number and Operations: Students will develop number and operation sense needed to represent numbers and number relationships verbally, symbolically, and graphically and to compute fluently and make reasonable estimates in problem solving.
Student Performance Indicators:
1.SPI 3130.1. At Level 1, the student is able to
1.SPI 3130.1.a. Represent rational numbers in a variety of ways using concrete objects, pictures, the number line, and symbols.
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

1.SPI 3130.1.b. Compute fluently with whole numbers, fractions, decimals, and percent.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

1.SPI 3130.2. At Level 2, the student is able to
1.SPI 3130.2.a. Represent quantitative relationships using ratios and proportions.
Flip Charts Applying Percents
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

1.SPI 3130.2.f. Calculate rates involving cost per un it to determine the best buy.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

1.SPI 3130.3. At Level 3, the student is able to
1.SPI 3130.3.a. Develop, analyze, and explain methods for solving problems involving proportions (i.e., scaling, finding equivalent ratios).
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

1.SPI 3130.3.c. Identify the opposite and the reciprocal of a given rational number.
Flip Charts The Real Numbers

1.SPI 3130.3.d. Determine square roots of perfect squares (<169).
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

Learning Expectations: The student will:
3130.1.2. Connect physical, graphical, verbal, and symbolic representations of rational numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3130.1.4. Informally describe and model the concept of additive and multiplicative inverses (e.g., opposites, reciprocals) in real life problem situations.
Flip Charts The Real Numbers

3130.1.6. Use rational numbers to represent real-world applications ( e.g., probability, proportionality).
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3130.1.7. Use mathematical notations appropriately.
Flip Charts Algebra Skills
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3130.1.8. Select and apply an appropriate method (i.e., mental arithmetic, paper and pencil, or technology) for computing with rational numbers, and evaluate the reasonableness of results.
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3130.2.0. Algebra: Students will describe, extend, analyze, and create a wide variety of patterns and solve real-world problems using appropriate representations.
Student Performance Indicators:
2.SPI 3130.1. At Level 1, the student is able to:
2.SPI 3130.1.a. Extend geometric, spatial, and numeric patterns.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

2.SPI 3130.2. At Level 2, the student is able to:
2.SPI 3130.2.a. Represent situations and solve real-world problems using symbolic algebra.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3130.2.c. Solve one-step linear equations involving integers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

2.SPI 3130.3. At Level 3, the student is able to:
2.SPI 3130.3.b. Connect linear equations and the appropriate graphs of lines.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

Learning Expectations: The student will:
3130.2.1. Recognize, extend, and create geometric, spatial, and numerical patterns.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

3130.2.4. Apply the concept of variable in simplifying algebraic expressions and solving equations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3130.3.0. Geometry: Students will investigate, model, and apply geometric properties and relationships.
Student Performance Indicators:
3.SPI 3130.1. At Level 1, the student is able to:
3.SPI 3130.1.a. Use ordered pairs to describe given points in a coordinate system.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3.SPI 3130.1.b. Apply the given formula to determine the area or perimeter of a rectangle.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

3.SPI 3130.2. At Level 2, the student is able to:
3.SPI 3130.2.a. Find the missing length of a side, given two similar triangles.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3.SPI 3130.2.c. Calculate the area of a circle, a triangle, a parallelogram, a rhombus, or a trapezoid given the appropriate formula.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

3.SPI 3130.3. At Level 3, the student is able to:
3.SPI 3130.3.b. Determine and justify the missing angle measures, given the measure of one angle, when two parallel lines are cut by a transversal.
Flip Charts Plane Geometry

Learning Expectations: The student will:
3130.3.2. Communicate position using spatial sense with two-dimensional coordinate systems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3130.5.0. Data Analysis and Probability: Students will understand and apply basic statistical and probability concepts in order to organize and analyze data and to make predictions.
Student Performance Indicators:
5.SPI 3130.1. At Level 1, the student is able to:
5.SPI 3130.1.a. Determine the mean, median, mode, and range for a given set of data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3130.2. At Level 2, the student is able to:
5.SPI 3130.2.a. Construct and interpret bar, circle, and line graphs of real-world data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3130.2.c. Determine the median from a given stem-and-leaf plot.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3130.3. At Level 3, the student is able to:
5.SPI 3130.3.a. Make predictions based on data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Learning Expectations: The student will:
3130.5.1. Choose, construct, and analyze appropriate graphical representations for a data set including pie charts, histograms, stem and leaf plots, and scatterplots.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3130.5.3. Determine experimental and theoretical probabilities for simple experiments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

## TN.FII.Math Foundations II (3131)

Math Foundations II (3131)
Data Analysis and Probability: Students will interpret a given set of data, including analyzing the use, misuse, and abuse of data; choose, construct, and analyze appropriate graphical representations for a data set; use technology in data collection and analysis; and apply theoretical and experimental probability to analyze the likelihood of an event.
Student Performance Indicators:
5.SPI 3131.1. At Level 1, the student is able to:
5.SPI 3131.1.a. Determine the mean of a given set of data (no more than five one- or two-digit numbers).
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3131.1.b. Determine the number of possible outcomes for a simple experiment using a list, tree diagram, or the multiplication counting principle.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

5.SPI 3131.2. At Level 2, the student is able to:
5.SPI 3131.2.a. Interpret bar graphs representing real-world data.

5.SPI 3131.2.b. Interpret circle graphs (pie charts) representing real-world data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3131.2.c. Determine the median from a given stem-and-leaf plot.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3131.3. At Level 3, the student is able to:
5.SPI 3131.3.a. Determine the median of a given set of real-world data (even number of data).
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Learning Expectations: The student will:
3131.5.2. Choose, construct, and analyze appropriate graphical representations for a data set including pie charts, histograms, stem-and-leaf plots, scatterplots, and box plots.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3131.5.4. Apply theoretical and experimental probability to analyze the likelihood of an event.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3131.5.7. Apply counting principles of permutations and combinations using appropriate technology.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3131.1.0. Students will recognize, represent, model, and apply real numbers and operations verbally, physically, symbolically, and graphically and will compute fluently and make reasonable estimates in problem solving.
Student Performance Indicators:
1.SPI 3131.2. At Level 2, the student is able to:
1.SPI 3131.2.a. Identify the opposite of any rational number.
Flip Charts The Real Numbers

1.SPI 3131.3. At Level 3, the student is able to:
1.SPI 3131.3.a. Select ratios and proportions to represent real-world problems such as scale drawings and samplings (all ratios are positive integers to positive integers).
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

Learning Expectations: The student will:
3131.1.1. Demonstrate an understanding of the subsets, elements, properties, and operations of the real number system.
Flip Charts The Real Numbers

3131.1.10. Select and apply an appropriate method (i.e., mental arithmetic, paper and pencil, or technology) for computing with real numbers, and evaluate the reasonableness of results.
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3131.1.12. Perform operations on simple algebraic expressions, and informally justify the procedures chosen.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3131.1.14. Use mathematical notations appropriately.
Flip Charts Algebra Skills
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3131.1.3. Connect physical, graphical, verbal, and symbolic representations of real numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3131.1.4. Informally describe and model the concept of inverse (e.g., opposites, reciprocals, and squares and square roots).
Flip Charts The Real Numbers

3131.1.7. Apply number theory concepts (e.g., primes, factors, divisibility and multiples) in mathematical problem situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3131.1.8. Connect physical, graphical, verbal, and symbolic representations of absolute value.

3131.1.9. Use real numbers to represent real-world applications (e.g., rate of change, probability, and proportionality).
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3131.2.0. Algebra: Students will describe, extend, analyze, and create a wide variety of patterns and solve real-world problems using appropriate representations.
Student Performance Indicators:
2.SPI 3131.1. At Level 1, the student is able to:
2.SPI 3131.1.a. Extend a pattern of geometric figures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

2.SPI 3131.1.b. Extend a numerical pattern using only whole numbers.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

2.SPI 3131.2. At Level 2, the student is able to:
2.SPI 3131.2.a. Solve a one-step linear equation with a variable on only one side of the equation (integral coefficients and constants).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

2.SPI 3131.2.b. Solve a two-step linear equation with a variable on only one side of the equation (integral coefficients and constants).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3131.2.c. Translate a one-variable verbal expression into an algebraic expression (no more than two operations).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

2.SPI 3131.3. At Level 3, the student is able to:
2.SPI 3131.3.a. Select the number line graph that models a given one-step linear inequality (variables may not have negative coefficients).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

2.SPI 3131.3.b. Simplify a first-degree algebraic expression without parenthesis by combining like terms (integral coefficients and constants).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

Learning Expectations: The student will:
3131.2.1. Recognize, extend, and create geometric, spatial, and numerical patterns.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

3131.2.2. Analyze mathematical patterns related to algebra and geometry in real-world problem solving.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

3131.2.6. Apply the concept of variable in simplifying algebraic expressions, solving equations, and solving inequalities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3131.3.0. Geometry: Students will investigate, model, and apply geometric properties and relationships.
Student Performance Indicators:
3.SPI 3131.1. At Level 1, the student is able to:
3.SPI 3131.1.a. Determine the perimeter of any geometric figure.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

3.SPI 3131.2. At Level 2, the student is able to:
3.SPI 3131.2.a. Identify the coordinates for a given point.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3.SPI 3131.2.b. Find the missing length of a side given two similar triangles.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

Learning Expectations: The student will:
3131.3.1. Analyze relationships among corresponding parts of similar or congruent geometric figures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3131.3.3. Use inductive reasoning to make conjectures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3131.3.4. Communicate position using spatial sense with two-dimensional coordinate system.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3131.3.5. Demonstrate an understanding of transformations of geometric figures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3131.3.7. Name, analyze, and describe the properties of various polygons.
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3131.4.0. Measurement: Students will become familiar with the units and processes of measurement in order to use various tools, techniques, and formulas to determine and estimate measurements in problem solving.
Student Performance Indicators:
4.SPI 3131.1. At Level 1, the student is able to:
4.SPI 3131.1.a. Apply the given formula to determine the area of a rectangular figure with rational dimensions.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

4.SPI 3131.2. At Level 2, the student is able to:
4.SPI 3131.2.a. Calculate the cost per unit to determine the best buy (no more than four samples).
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Learning Expectations: The student will:
3131.4.5. Demonstrate an understanding of rates and other derived and indirect measurements (e.g., velocity, miles per hr, rpm, and cost per unit).
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

## TN.G.Geometry (3108)

Geometry (3108)
3108.1.0. Mathematical Processes
State Performance Indicators
SPI 3108.1.1. Give precise mathematical descriptions or definitions of geometric shapes in the plane and space.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

Checks for Understanding (Formative/Summative Assessment)
3108.1.1. Check solutions after making reasonable estimates in appropriate units of quantities encountered in contextual situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3108.1.10. Use visualization, spatial reasoning, and geometric modeling to solve problems.
Flip Charts Algebra Skills
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

3108.1.2. Determine position using spatial sense with two and three-dimensional coordinate systems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3108.1.3. Comprehend the concept of length on the number line.

3108.1.4. Recognize that a definition depends on undefined terms and on previous definitions.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

3108.1.5. Use technology, hands-on activities, and manipulatives to develop the language and the concepts of geometry, including specialized vocabulary (e.g. graphing calculators, interactive geometry software such as Geometer's Sketchpad and Cabri, algebra tiles, pattern blocks, tessellation tiles, MIRAs, mirrors, spinners, geoboards, conic section models, volume demonstration kits, Polydrons, measurement tools, compasses, PentaBlocks, pentominoes, cubes, tangrams).
Flip Charts Dot to Dot
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

Course Level Expectations
CLE 3108.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3108.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3108.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3108.2.0. Number and Operations
Checks for Understanding (Formative/Summative Assessment)
3108.2.1. Analyze properties and aspects of pi (e.g. classical methods of approximating pi, irrational numbers, Buffon's needle, use of dynamic geometry software).
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

Course Level Expectations
CLE3108.2.1. Establish the relationships between the real numbers and geometry; explore the importance of irrational numbers to geometry.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

3108.3.0. Algebra
State Performance Indicators
SPI 3108.3.1. Use algebra and coordinate geometry to analyze and solve problems about geometric figures (including circles).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

SPI 3108.3.2. Use coordinate geometry to prove characteristics of polygonal figures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Checks for Understanding (Formative/Summative Assessment)
3108.3.1. Prove two lines are parallel, perpendicular, or oblique using coordinate geometry.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3108.3.2. Connect coordinate geometry to geometric figures in the plane (e.g. midpoints, distance formula, slope, and polygons).
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Course Level Expectations
CLE 3108.3.1. Use analytic geometry tools to explore geometric problems involving parallel and perpendicular lines, circles, and special points of polygons.
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3108.4.0. Geometry and Measurement
State Performance Indicators
SPI 3108.4.10. Identify, describe, and/or apply transformations on two and three dimensional geometric shapes.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

SPI 3108.4.12. Solve problems involving congruence, similarity, proportional reasoning and/or scale factor of two similar figures or solids.
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

SPI 3108.4.13. Identify, analyze and/or use basic properties and theorems of circles to solve problems (including those relating right triangles and circles).
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

SPI 3108.4.2. Define, identify, describe, and/or model plane figures using appropriate mathematical symbols (including collinear and non-collinear points, lines, segments, rays, angles, triangles, quadrilaterals, and other polygons).
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

SPI 3108.4.8. Solve problems involving area, circumference, area of a sector, and/or arclength of a circle.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

Checks for Understanding (Formative/Summative Assessment)
3108.4.10. Identify and apply properties and relationships of special figures (e.g., isosceles and equilateral triangles, family of quadrilaterals, polygons, and solids).
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3108.4.19. Use coordinate geometry to prove properties of plane figures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3108.4.28. Derive and use the formulas for the area and perimeter of a regular polygon. (A=1/2 ap)
Flip Charts Dot to Dot
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

3108.4.29. Extend the effect of a scale factor k in similar objects to include the impact on volume calculations and transformations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3108.4.31. Use properties of single transformations and compositions of transformations to determine their effect on geometric figures (e.g. reflections across lines of symmetry, rotations, translations, glide reflections, and dilations).
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

3108.4.32. Recognize, identify and apply types of symmetries (point, line, rotational) of two- and three- dimensional figures.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

3108.4.33. Use transformations to create and analyze tessellations and investigate the use of tessellations in architecture, mosaics, and artwork.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

3108.4.37. Identify similar figures and use ratios and proportions to solve mathematical and real-world problems (e.g., Golden Ratio).
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3108.4.38. Use the principle that corresponding parts of congruent triangles are congruent to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

3108.4.4. Describe and recognize minimal conditions necessary to define geometric objects.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

3108.4.45. Use the converse of the Pythagorean Theorem to classify a triangle by its angles (right, acute, or obtuse).
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

3108.4.5. Use vertical, adjacent, complementary, and supplementary angle pairs to solve problems and write proofs.
Flip Charts Plane Geometry

3108.4.7. Identify perpendicular planes, parallel planes, a line parallel to a plane, skew lines, and a line perpendicular to a plane.
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3108.4.8. Apply properties and theorems about angles associated with parallel and perpendicular lines to solve problems.
Flip Charts Plane Geometry

3108.4.9. Classify triangles, quadrilaterals, and polygons (regular, non-regular, convex and concave) using their properties.
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Course Level Expectations
CLE 3108.4.1. Develop the structures of geometry, such as lines, angles, planes, and planar figures, and explore their properties and relationships.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

CLE 3108.4.2. Describe the properties of regular polygons, including comparative classification of them and special points and segments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

CLE 3108.4.5. Extend the study of planar figures to three-dimensions, including the classical solid figures, and develop analysis through cross-sections.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

CLE 3108.4.7. Apply the major concepts of transformation geometry to analyzing geometric objects and symmetry.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

CLE 3108.4.8. Establish processes for determining congruence and similarity of figures, especially as related to scale factor, contextual applications, and transformations.
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3108.5.0. Data Analysis, Statistics and Probability
Checks for Understanding (Formative/Summative Assessment)
3108.5.1. Determine the area of each sector and the degree measure of each intercepted arc in a pie chart.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Course Level Expectations
CLE 3108.5.1. Analyze, interpret, employ and construct accurate statistical graphs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

## TN.IMI.Integrated Math I (3132)

Integrated Math I (3132)
3132.1.0. Number and Operations: Students will recognize, represent, model, and apply real numbers and operations verbally, physically, symbolically, and graphically.
Student Performance Indicators:
1.SPI 3132.1. At Level 1, the student is able to:
1.SPI 3132.1.b. Identify the opposite of a rational number.
Flip Charts The Real Numbers

1.SPI 3132.1.c. Determine the square root of a perfect square less than 169.
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

1.SPI 3132.2. At Level 2, the student is able to
1.SPI 3132.2.a. Probe the relationships among various subsets of the real number system.
Flip Charts The Real Numbers

1.SPI 3132.2.e. Add and subtract algebraic expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

1.SPI 3132.2.f. Multiply two polynomials with each fact or having no more than two terms.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

1.SPI 3132.2.h. Select ratios and proportions to represent real-world problems (e.g. scale drawings, sampling).
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

1.SPI 3132.3. At Level 3, the student is able to
1.SPI 3132.3.b. Scrutinize approximate values of real numbers such as pi and the square root of two.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

Learning Expectations: The student will:
3132.1.2. Demonstrate understanding of positive integer exponents and perform operations with expressions involving exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3132.1.3. Connect physical, graphical, verbal, and symbolic representations of rational numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3132.1.4. Connect physical, graphical, verbal, and symbolic representations of absolute value.

3132.1.5. Articulate, model, and apply the concept of inverse (i.e. opposites and reciprocals).
Flip Charts The Real Numbers

3132.1.7. Perform operations on algebraic expressions and informally justify the procedures chosen.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3132.1.9. Use a variety of notations appropriately (e.g., exponential, functional, square root).
Flip Charts Algebra Skills
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3132.2.0. Algebra: Students will describe, extend, analyze, and create a wide variety of patterns and functions using appropriate materials and representations in real world problem solving.
Student Performance Indicators:
2.SPI 3132.1. At Level 1, the student is able to:
2.SPI 3132.1.a. Extend a geometric pattern.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

2.SPI 3132.1.b. Extend a numerical pattern.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

2.SPI 3132.1.c. Translate a verbal expression into an algebraic expression.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

2.SPI 3132.1.e. Solve one- and two-step linear equations using integers (with integral coefficients and constants).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3132.2. At Level 2, the student is able to:
2.SPI 3132.2.b. Translate a verbal sentence into an algebraic equation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3132.2.c. Select the graph that represents a given linear function expressed in slope-intercept form.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

2.SPI 3132.2.d. Solve multi-step linear equations (more than two steps, variables on only one side of the equation).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3132.2.e. Solve multi-step linear equations (more than two steps, with variables on both sides of the equation).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3132.2.f. Solve multi-step linear equations (more than two steps, with one set of parentheses on each side of the equation).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3132.2.j. Determine the slope (rate of change) from the graph of a linear equation (no labeled points).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

2.SPI 3132.2.l. Select the appropriate graphical representation of a given linear inequality.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

2.SPI 3132.2.n. Identify the graphical representation of the solution to a one variable inequality on a number line.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

2.SPI 3132.2.o. Produce an equation to describe the relationship between data sets.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

2.SPI 3132.2.q. Solve a system of two linear equations using the graphing, elimination, and substitution methods.

2.SPI 3132.2.r. Defend the selection of a method for solving a system of equations.

2.SPI 3132.2.u. Write an equation that symbolically expresses a problem solving situation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3132.2.w. Distinguish between a function and other relationships.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

Learning Expectations: The student will:
3132.2.10. Solve systems of two equations in two unknowns using a variety of techniques.

3132.2.11. Recognize and extend numerical, geometric, and spatial patterns.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

3132.2.3. Apply the concept of variable in simplifying algebraic expressions, solving equations, and solving inequalities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3132.2.4. Represent the solution set linear equations and inequalities in one variable symbolically, graphically, and verbally.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

3132.3.0. Geometry: Students will investigate, model, and apply geometric properties and relationships.
Learning Expectations: The student will:
3132.3.2. Apply properties of special pairs of angles (e.g. supplementary, complementary, vertical, and adjacent).
Flip Charts Plane Geometry

3132.3.3. Articulate relationships of angles formed when parallel lines are cut by a transversal.
Flip Charts Plane Geometry

3132.3.4. Apply the concept of slope to parallel and perpendicular lines.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3132.3.6. Apply the properties of congruence and similarity to solve problems.
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3132.3.8. Use appropriate measurement techniques and tools in investigating properties of polygons (triangle angle properties, angles of polygons, and triangle inequalities).
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Student Performance Indicators:
3.SPI 3132.1. At Level 1, the student is able to:
3.SPI 3132.1.c. Identify ordered pairs in the coordinate plane.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3.SPI 3132.2. At Level 2, the student is able to:
3.SPI 3132.2.b. Apply proportion and the concepts of similar triangles to find the length of a missing side of a triangle.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3.SPI 3132.3. At Level 3, the student is able to:
3.SPI 3132.3.b. Determine the height of an object that is difficult to measure by using the properties of similar triangles.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3132.4.0. Measurement: The student will choose appropriate techniques and tools to measure quantities in order to meet specifications for precision and accuracy.
Student Performance Indicators:
4.SPI 3132.1. At Level 1, the student is able to:
4.SPI 3132.1.b. Calculate rates involving cost per unit to determine the best buy (no more than three samples)
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

4.SPI 3132.1.c. Apply the given formula to determine the area or perimeter of a rectangle.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

4.SPI 3132.2. At Level 2, the student is able to:
4.SPI 3132.2.a. Apply the given formula to find the area of a circle, the circumference of a circle, or the volume of a rectangular solid.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

4.SPI 3132.3. At Level 3, the student is able to:
4.SPI 3132.3.a. Select the area representation for a give n product of two one-variable binomials with positive constants and coefficients.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

Learning Expectations: The student will:
3132.4.5. Demonstrate an understanding of rates and other derived and indirect measurements (e.g. velocity, miles per hour, revolutions per second, and cost per unit).
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

3132.5.0. Data Analysis and Probability:
Student Performance Indicators:
5.SPI 3132.1. At Level 1, the student is able to:
5.SPI 3132.1.a. Determine the mean (average) of a given set of real-world data (no more than five two-digit numbers).
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3132.1.b. Interpret bar graphs representing real-world data.

5.SPI 3132.1.c. Interpret circle graphs (pie charts) representing real-world data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3132.2. At Level 2, the student is able to:
5.SPI 3132.2.b. Choose the matching linear graph given a set of ordered pairs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

5.SPI 3132.2.c. Make a prediction from the graph of a real-world linear data set.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

5.SPI 3132.2.d. Determine the median for a given set of real-world data (even number of data).
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3132.3. At Level 3, the student is able to:
5.SPI 3132.3.a. Apply counting principles of permutations or combinations in real-world situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

5.SPI 3132.3.c Make predictions from real-world data using a line of best fit.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Learning Expectations: The student will:
3132.5.1. Collect, represent, and describe linear and nonlinear data sets developed from the real world using appropriate technology.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

3132.5.2. Choose, construct, and analyze appropriate graphical representations for a data set.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3132.5.4. Determine the measures of dispersion of a data set including range and quartiles.

3132.5.5. Apply basic counting principles, introducing factorial notation; apply experimental and theoretical probability with simulations where appropriate.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3132.5.6. Make predictions from a linear data set using a line of best fit.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

## TN.IMII.Integrated Mathematics II (3133)

Integrated Mathematics II (3133)
3133.1.0. Number and Operations: Students will recognize, represent, model, and apply real numbers and operations verbally, physically, symbolically, and graphically.
Student Performance Indicators:
1.SPI 3133.1. At Level 1, the student is able to:
1.SPI 3133.1.a. Approximate pi given a table of values for the circumference and diameter of circles.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

1.SPI 3133.2. At Level 2, the student is able to:
1.SPI 3133.2.a. Use absolute value to express the distance between two points on a number line and vice versa.

Learning Expectations: The student will:
3133.1.1. Demonstrate an understanding of the elements, properties and operations of real numbers.
Flip Charts The Real Numbers

3133.1.3. Connect physical, graphical, verbal, and symbolic representations of real numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

3133.1.5. Demonstrate an understanding of absolute value.

3133.2.0. Algebra: Students will recognize, extend, create, and analyze a variety of geometric, spatial, and numerical patterns; solve real-world problems related to algebra and geometry; and use properties of various geometric figures to analyze and solve problems.
Student Performance Indicators:
2.SPI 3133.1. At Level 1, the student is able to:
2.SPI 3133.1.a. Extend or find missing element(s) in a geometric patterns and situations (e.g., Fibonacci sequence and Golden Ratio).
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

2.SPI 3133.1.b. Solve multistep linear equations to find length, width, perimeter, and area of geometric figures.
Flip Charts Algebra Skills

2.SPI 3133.1.e. Determine the distance, midpoint, or slope when given the coordinates of two points (answers must be given as decimals to the nearest hundredth).
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

2.SPI 3133.2. At Level 2, the student is able to:
2.SPI 3133.2.b. Apply ratio and proportion to solve real-world problems involving polygons, (e.g., scale drawings, similar figures).
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

2.SPI 3133.2.d. Determine the perimeter, area, or volume given the ratio of two similar polygons or rectangular solids.
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

2.SPI 3133.3. At Level 3, the student is able to:
2.SPI 3133.3.e. Graph plane figures on a coordinate plane and solve problems algebraically.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Learning Expectations: The student will:
3133.2.10. Recognize, extend, and create numerical, geometric, and spatial patterns.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

3133.3.0. Geometry: Students will investigate, model, and apply geometric properties and relationships and use indirect reasoning to make conjectures; deductive reasoning to draw conclusions; and both inductive and deductive reasoning to establish the truth of statements.
Student Performance Indicators:
3.SPI 3133.1. At Level 1, the student is able to:
3.SPI 3133.1.a. Identify corresponding parts of similar and congruent geometric figures given a diagram.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3.SPI 3133.2. At Level 2, the student is able to:
3.SPI 3133.2.a. Identify properties of plane figures from information given in a diagram.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

3.SPI 3133.2.c. Determine congruence or similarity relations between triangles or quadrilaterals given a diagram.

3.SPI 3133.2.e. Solve problems involving complementary, supplementary, congruent, vertical, or adjacent angles given angle measures expressed algebraically.
Flip Charts Plane Geometry

3.SPI 3133.2.p. Recognize and articulate relationships among families of geometric figures (e.g., quadrilaterals, prisms).
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Learning Expectations: The student will:
3133.3.1. Demonstrate an understanding of geometric transformations (i.e. reflection, translation, rotation, and dilation).
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3133.3.10. Use coordinates to describe position in two and three dimensions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3133.3.6. Apply concepts related to similar and congruent triangles.

3133.4.0. Measurement: Students will apply appropriate units of measurement; develop effective estimation and computation strategies for solving real world problems involving length, area, and volume; and choose appropriate techniques and tools to measure quantities in order to meet specifications for precision, accuracy, and tolerance.
Student Performance Indicators:
4.SPI 3133.2. At Level 2, the student is able to:
4.SPI 3133.2.a. Determine the volume or surface area of a rectangular solid or cylinder in a real-world situation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

4.SPI 3133.3. At Level 3, the student is able to:
4.SPI 3133.3.d. Solve problems involving surface area of pyramids, cones, and spheres.
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

Learning Expectations: The student will:
3133.4.2. Perform operations on algebraic expression and informally justify the procedures chosen.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3133.4.6. Demonstrate an understanding of rates and other derived and indirect measurements (e.g. velocity, miles per hr, revolutions per minute, cost per unit).
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

3133.5.0. Data Analysis and Probability: Students will investigate, explore, and apply geometric representations to calculate theoretical probability; and will use data from geometric figures to investigate relationships.
Learning Expectations: The student will:
3133.5.1. Demonstrate an understanding of different sampling methods and when each is appropriate.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

3133.5.5. Determine the probability of an event.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

## TN.IMIII.Integrated Mathematics III (3134)

Integrated Mathematics III (3134)
3134.1.0. Number and Operations: Students will recognize, represent, model, and apply real numbers and operations verbally, physically, symbolically, and graphically.
Student Performance Indicators:
1.SPI 3134.1. At Level 1, the student is able to:
1.SPI 3134.1.b. Identify the reciprocal of a real number; probe the relationships among various subsets of the real-number system.
Flip Charts The Real Numbers

1.SPI 3134.1.d. Multiply two polynomials with each factor having no more than two terms.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

1.SPI 3134.2. At Level 2, the student is able to:
1.SPI 3134.2.d. Add, subtract, and multiply algebraic expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

Learning Expectations: The student will:
3134.1.1. Demonstrate an understanding of the laws of exponents, including integral and rational exponents.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3134.1.4. Perform operations on algebraic expression and justify the procedures chosen.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3134.2.0. Algebra: Students will describe, extend, analyze, and create a wide variety of patterns and functions using appropriate materials and representations in real-world problem solving, and will demonstrate an understanding of the behavior of a variety of functions and their graphs.
Student Performance Indicators:
2.SPI 3134.1. At Level 1, the student is able to:
2.SPI 3134.1.a. Translate a verbal sentence into an algebraic equation and vice versa.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3134.1.c. Solve multi-step (more than two steps) linear equations (one set of parentheses on each side of the equations and/or variables on both sides).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.SPI 3134.1.d. Select the graph that represents a given linear function expressed in slope-intercept form.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

2.SPI 3134.1.h. Identify the graphical representation of the solution to a one-variable inequality on a number line.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

2.SPI 3134.2. At Level 2, the student is able to:
2.SPI 3134.2.b. Solve one-variable linear equations with rational expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

2.SPI 3134.2.c. Select the graph of a two-variable inequality.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

2.SPI 3134.2.f. Solve a system of linear equations with 2 variables (e.g. substitution, elimination, Cramer’s Rule, and graphing).

2.SPI 3134.2.i. Use a variety of methods to solve linear systems in two and three variables (e.g., elimination, substitution, Cramer’s Rule, matrices, and graphing).

3134.3.0. Geometry: Students will investigate, model, and apply geometric properties and relationships and use indirect reasoning to make conjectures; deductive reasoning to draw conclusions; and both inductive and deductive reasoning to establish the truth of statements.
Student Performance Indicators:
3.SPI 3134.2. At Level 2, the student is able to:
3.SPI 3134.2.b. Apply proportion and the concepts of similar triangles to solve real world problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

3134.4.0. Measurement: Students will apply appropriate units of measurement; develop effective estimation and computation strategies for solving real world problems involving length, area, and volume; and choose appropriate techniques and tools to measure quantities in order to meet specifications for precision, accuracy, and tolerance.
Student Performance Indicators:
4.SPI 3134.1. At Level 1, the student is able to:
4.SPI 3134.1.a. Select the appropriate unit of measure given the real world situation select the area representation for a given product of two binomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

4.SPI 3134.2. At Level 2, the student is able to:
4.SPI 3134.2.a. Apply the given formula to find area and circumference of circles, area and perimeter of polygons, and volume of regular solids.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

4.SPI 3134.2.b. Use appropriate measurements in collecting data for a real world situation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Learning Expectations: The student will:
3134.4.4. Demonstrate an understanding of rates and other derived and indirect measurements (e.g. velocity, miles per hr, rpm, cost per unit).
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

3134.5.0. Data Analysis and Probability: Students will collect, organize, represent, and interpret data; make and evaluate inferences and predictions; present and evaluate arguments based on data analysis; and model situations to determine theoretical and experimental probabilities.
Student Performance Indicators:
5.SPI 3134.1. At Level 1, the student is able to:
5.SPI 3134.1.b. Determine the measures of central tendency for a given set of real-world data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3134.1.c. Choose the matching linear graph when given a set of ordered pairs representing real-world data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

5.SPI 3134.1.d. Analyze student-collected data to make predications or generalizations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

5.SPI 3134.2. At Level 2, the student is able to:
5.SPI 3134.2.a. Categorize the correlation of a scatterplot using real-world data (i.e., positive, negative, strong, or weak).

5.SPI 3134.2.c. Determine the theoretical probability of a simple event for a given situation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

5.SPI 3134.2.g. Analyze theoretical or experimental probability to determine the likelihood of an event.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

## TN.PC.Pre-Calculus (3126)

Pre-Calculus (3126)
3126.2. Number & Operations
Understanding (Formative/Summative Assessment)
3126.2.18. Use the laws of exponents and logarithms to expand or collect terms in expressions; simplify expressions or modify them in order to analyze them or compare them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

3126.2.5. Classify real numbers and order real numbers that include transcendental expressions, including roots and fractions of pi and e.
Flip Charts The Real Numbers

CLE 3126.1. Mathematical Processes
Course Level Expectations
CLE 3126.1.1. Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3126.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3126.1.3. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3126.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3126.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3126.2. Number & Operations
Course Level Expectations
CLE 3126.2.2. Represent, interpret or compare expressions for real numbers, including expressions utilizing exponents and logarithms.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

CLE 3126.3. Algebra
Course Level Expectations
CLE 3126.3.4. Identify or analyze the distinguishing properties of exponential, polynomial, logarithmic, trigonometric, and rational functions from tables, graphs, and equations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

CLE 3126.3.5. Apply appropriate techniques to analyze mathematical models and functions constructed from verbal information; interpret the solution obtained in written form using appropriate units of measurement.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

## TN.S.Statistics (3136)

Statistics (3136)
3136.1.0. Mathematical Processes
Check for Understanding (Formative/Summative Assessment)
3136.1.1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

3136.1.3. Compute statistics and analyze data using various statistical tools, with appropriate technology.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3136.1.4. Analyze data/statistical analysis from newspaper and other sources.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

Course Level Expectations
CLE 3136.1.1. Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3136.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3136.1.3. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3136.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3136.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3136.2.0. Exploring Data
Check for Understanding (Formative/Summative Assessment)
3136.2.1. Understand the term 'variable' and differentiate between the data types: measurement, categorical, univariate and bivariate.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

3136.2.2. Compute basic statistics and understand the distinction between a statistic and a parameter.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3136.2.8. Analyze the effect of changing units on summary measures.

3136.2.9. Construct and analyze frequency tables and bar charts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Course Level Expectations
CLE 3136.2.1. Understand histograms, parallel box plots, and scatterplots, and use them to compare display data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3136.3.0. Sampling & Experimentation
Check for Understanding (Formative/Summative Assessment)
3136.3.4. Compare and use sampling methods, including simple random sampling, stratified random sampling, and cluster sampling.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

3136.3.7. Test hypotheses using appropriate statistics.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Course Level Expectations
CLE 3136.3.2. Select a method to collect data and plan and conduct surveys and experiments.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

CLE 3136.3.3. Analyze results and make conclusions from observational studies, experiments, and surveys.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

3136.4.0. Anticipating Patterns
Check for Understanding (Formative/Summative Assessment)
3136.4.2. Demonstrate an understanding of the addition rule, the multiplication rule, conditional probability, and independence.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3136.4.5. Calculate the mean (expected value) and standard deviation of both a random variable and a linear transformation of a random variable.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Course Level Expectations
CLE 3136.4.1. Understand and apply basic concepts of probability.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3136.5.0. Statistical Inference
Check for Understanding (Formative/Summative Assessment)
3136.5.1. Use properties of point estimators, including biased/unbiased, and variability.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Course Level Expectations
CLE 3136.5.1. Develop and evaluate inferences and predictions that are based on data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

## TN.SFM.Senior Finite Math (3182)

Senior Finite Math (3182)
3182.1.0. Mathematical Processes
Check for Understanding (Formative/Summative Assessment)
3182.1.1. Use the language and notation of functions to develop models of real-world phenomena.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

3182.1.3. Interpret outcomes for solving applications involving Venn diagrams, truth tables, and various statistical graphs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3182.1.4. Recognize algebra's relationship in business and real-world situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3182.1.7. Demonstrate through discussion and examples the connections between economics, finance, and mathematics: in particular, interpret the implications of annuities, amortizations, interest rates, and similar concepts in terms of making personal financial decisions.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Course Level Expectations
CLE 3182.1.1. Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3182.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the reasonableness of the solution.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3182.1.3. Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and intuition.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3182.1.5. Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3182.1.6. Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between mathematics and the real world.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3182.2.0. Number & Operations
Check for Understanding (Formative/Summative Assessment)
3182.2.3. Define interest and compound interest.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Course Level Expectations
CLE 3182.2.3. Apply arithmetic and geometric sequences to simple and compound interest, annuities, loans, and amortization.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

CLE 3182.2.4. Solve contextual problems involving financial decision-making.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

3182.3.0. Algebra
Check for Understanding (Formative/Summative Assessment)
3182.3.7. Recognize the existence of infinite solutions to systems of linear equations; be able to express these solutions in parametric form.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

3182.3.8. Be able to correctly identify and write the general solution to a system of linear equations; in the case of infinite solution set, select various particular solutions given specific properties.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Course Level Expectations
CLE 3182.3.3. Examine linear systems and matrices and their applications.

CLE 3182.3.4. Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

CLE 3182.3.5. Understand the basic principles of linear modeling.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

3182.4.0. Geometry & Measurement
Check for Understanding (Formative/Summative Assessment)
3182.4.10. Analyze survey data using Venn diagrams.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

3182.4.7. Work with logic puzzles.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

3182.5.0. Data Analysis, Statistics, & Probability
Check for Understanding (Formative/Summative Assessment)
3182.5.3. Define the relationship between permutations and the multiplication principle.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3182.5.4. Differentiate between permutations and combinations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3182.5.5. Determine and interpret measures of variation of a data set, with or without technology.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

3182.5.6. Evaluate expressions indicating permutations or combinations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3182.5.7. Use a variety of counting methods to organize information, determine probabilities, and solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

3182.5.8. Interpret pie charts and bar graphs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Course Level Expectations
CLE 3182.5.1. Develop concepts in probability, including sample spaces and event probabilities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

CLE 3182.5.2. Distinguish between and use permutations and combinations to solve problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

CLE 3182.5.3. Organize data for problem solving.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

CLE 3182.5.4. Calculate and interpret statistical problems using measures of central tendencies and graphs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

Science