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## PA.2.1.Numbers, Number Systems and Number Relationships

Numbers, Number Systems and Number Relationships
2.1.8.A. Model and compare values of integers and rational numbers.
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

2.1.8.B. Represent and use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, exponents, scientific notation, square roots, absolute values).
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

2.1.8.C. Use ratio and proportion to model relationships between quantities.
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 Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

2.1.8.D. Extend place value concepts to represent large numbers using exponential, scientific, and calculator notation.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

2.1.8.E. Apply concepts of prime and composite numbers to calculate GCFs (Greatest Common Factor) and LCMs (Least Common Multiple) of numbers.

2.1.8.F. Understand the concepts of exponents and roots and use the inverse relationships between exponents and roots to determine unknown quantities in equations.
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

## PA.2.10.Trigonometry

Trigonometry
2.10.8.A. Compute measures of sides and angles using proportions, the Pythagorean Theorem, and right triangle relationships.
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

## PA.2.11.Concepts of Calculus

Concepts of Calculus
2.11.8.B. Describe the concept of unit rate, ratio, and slope in the context of rate of change.
Quiz, Flash Cards, Worksheet, Game & Study Guide Nonlinear Functions and Set Theory

## PA.2.2.Computation and Estimation

Computation and Estimation
2.2.8.B. Add, subtract, multiply, and divide different kinds and forms of rational numbers including integers, decimal fractions, percents, and proper and improper fractions.
Flip Charts Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

2.2.8.C. Use the order of operations to evaluate numerical expressions
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

## PA.2.3.Measurement and Estimation

Measurement and Estimation
2.3.8.C. Calculate volume, surface area, and degrees of angles; calculate circumference and area of circles, and use a measurement formula to solve for a missing quantity.
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

2.3.8.E. Describe how a change in linear dimension of an object affects its perimeter, area and volume.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

2.3.8.F. Estimate and verify measurements of rate and mass.
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

## PA.2.4.Mathematical Reasoning and Connections

Mathematical Reasoning and Connections
2.4.8.A. Draw inductive and deductive conclusions within mathematical contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

## PA.2.5.Mathematical Problem Solving and Communication

Mathematical Problem Solving and Communication
2.5.8.A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, apply estimation skills as appropriate, check whether the plan makes sense, and explain how the problem was solved in grade appropriate contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

## PA.2.6.Statistics and Data Analysis

Statistics and Data Analysis
2.6.8.A. Understand and apply sampling techniques to gather data including simple random sampling and convenience sampling.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

2.6.8.B. Organize and display one-variable data using appropriate data display, such as stem and- leaf and box-and whisker plots, and two variable data with scatterplots.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

2.6.8.D. Compare data sets graphically using double-bar and double-line graphs and numerically using mean, median, mode, range, and quartiles.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

## PA.2.7.Probability and Predictions

Probability and Predictions
2.7.8.A. Calculate the probability of an event involving ''and'', ''or'' or ''not''.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

2.7.8.C. Determine the number of combinations and permutations for an event.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

2.7.8.E. Find the experimental or theoretical probability of the outcomes of a simple or compound event.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

## PA.2.8.Algebra and Functions

Algebra and Functions
2.8.8.A. Use the concept of equality to demonstrate understanding of the inverse properties of numbers and the addition and multiplication properties of equality.
Flip Charts The Real Numbers

2.8.8.B. Evaluate and simplify algebraic expressions and solve and graph linear equations and inequalities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to 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

2.8.8.C. Find the missing elements and recognize, describe, and extend patterns to include linear, exponential, and simple quadratic equations.
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

2.8.8.D. Create a table or graph from a functional rule.

2.8.8.E. Use combinations of symbols and numbers to create expressions and equations in one or two variables, and inequalities in one variable that model problem situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.8.8.F. Interpret the results of solving equations in one or two variables and inequalities in one variable in the context of the situation that motivated the model.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

## PA.2.9.Geometry

Geometry
2.9.8.A. Name, describe and apply geometric relations for 1- dimensional shapes and 2- dimensional shapes and 3- dimensional solids.
Flip Charts Dot to Dot
Flip Charts Finding Volume
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
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 Plane Figures: Closed Figure Relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

2.9.8.C. Plot ordered pairs and 2-dimensional shapes that satisfy given conditions on a 2- dimensional coordinate system.
Flip Charts Slope
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

## PA.A1.Algebra I

Algebra I
2.1. Numbers, Number Systems and Number Relationships
2.1.A1.C. Use ratio and proportion to model relationships between quantities.
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 Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

2.1.A1.D. Use exponential, scientific, and calculator notation to represent any rational number.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

2.10. Trigonometry
2.10.A1.A. Solve problems involving from the Pythagorean Theorem.
Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

2.11. Concepts of Calculus
2.11.A1.B. Describe rates of change as modeled by linear equations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Nonlinear Functions and Set Theory

2.2. Computation and Estimation
2.2.A1.C. Evaluate numerical expressions that include the four basic operations and operations of powers and roots, reciprocals, opposites, and absolute values.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

2.3. Measurement and Estimation
2.3.A1.E. Describe how a change in the value of one variable in a formula that utilizes linear variables affects the value of the measurement.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

2.5. Mathematical Problem Solving and Communication
2.5.A1.A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense, and explain how the problem was solved in grade appropriate contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

2.6. Statistics and Data Analysis
2.6.A1.A. Design and conduct an experiment using random sampling.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

2.6.A1.C. Select or calculate the appropriate measure of central tendency, calculate and apply the interquartile range for one-variable data, and construct a line of best fit and calculate its equation for two-variable data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

2.6.A1.E. Make predictions based on lines of best fit or draw conclusions on the value of a variable in a population based on the results of a sample.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

2.7. Probability and Predictions
2.7.A1.A. Calculate probabilities for independent, dependent, or compound events.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

2.8. Algebra and Functions
2.8.A1.B. Evaluate and simplify not understood algebraic expressions and solve and graph linear equations and inequalities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to 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

2.8.A1.C. Identify and represent patterns algebraically and/or graphically.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

2.8.A1.D. Demonstrate an understanding and apply properties of functions (domain, range) and characteristics of linear functions.
Flip Charts Slope
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

2.8.A1.E. Use combinations of symbols and numbers to create expressions, equations, and inequalities in two or more variables, systems of equations, and inequalities, and functional relationships that model problem situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.9. Geometry
2.9.A1.A. Use algebraic techniques to determine if two lines are parallel and / or perpendicular.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

2.9.A1.C. Use techniques from coordinate geometry to establish properties of lines and 2-dimensional shapes and solids.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

## PA.A2.Algebra II

Algebra II
2.1. Numbers, Number Systems and Number Relationships
2.1.A2.D. Use exponential notation to represent any rational number.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

2.3. Measurement and Estimation
2.3.A2.C. Solve a formula for a given variable using algebraic processes.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

2.3.A2.E. Describe how a change in the value of one variable in formulas affects the value of the measurement.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

2.5. Mathematical Problem Solving and Communication
2.5.A2.A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense, and explain how the problem was solved in grade appropriate contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

2.6. Statistics and Data Analysis
2.6.A2.C. Construct a line of best fit and calculate its equation for linear and non linear two variable data.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

2.6.A2.E. Make predictions based on lines of best fit or draw conclusions on the value of a variable in a population based on the results of a sample.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

2.7. Probability and Predictions
2.7.A2.A. Use probability to predict the likelihood of an outcome in an experiment.
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

2.7.A2.C. Compare odds and probability.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

2.7.A2.E. Use probability to make judgments about the likelihood of various outcomes.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

2.8. Algebra and Functions
2.8.A2.B. Evaluate and simplify algebraic expressions; solve and graph, quadratic, exponential, and logarithmic equations; and, solve and graph systems of equations and inequalities.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

2.8.A2.C. Recognize, describe and generalize patterns using sequences and series to predict long-term outcomes
Flip Charts Circle Around
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

2.8.A2.D. Demonstrate an understanding and apply properties of functions (domain, range, inverses) and characteristics of families of functions (linear, polynomial, rational, exponential, logarithmic).
Flip Charts Slope
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

2.8.A2.E. Use combinations of symbols and numbers to create expressions, equations, and inequalities in two or more variables, systems of equations and inequalities, and functional relationships that model problem situations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

2.9. Geometry
2.9.A2.A. Use algebraic techniques to determine if two lines are parallel and / or perpendicular; find points of intersections and distances between points.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

2.9.A2.C. Use techniques from coordinate geometry to establish properties of lines, 2-dimensional shapes and solids.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

## PA.G.Geometry

Geometry
2.1. Numbers, Number Systems and Number Relationships
2.1.G.C. Use ratio and proportion to model relationships between quantities.
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 Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

2.10. Trigonometry
2.10.G.A. Identify, create, and solve practical problems involving right triangles using the trigonometric ratios and the Pythagorean Theorem.
Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

2.11. Concepts of Calculus
2.11.G.A. Find the measures of the sides of a polygon with a given perimeter that will maximize the area of the polygon.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

2.3. Measurement and Estimation
2.3.G.C. Use properties of geometric figures and measurement formulas to solve for a missing quantity (e.g., the measure of a specific angle created by parallel lines and is a transversal).
Flip Charts Algebra Skills
Flip Charts Dot to Dot
Flip Charts Perimeter & Area
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

2.3.G.E. Describe how a change in the value of one variable in area and volume formulas affect the value of the measurement.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

2.8. Algebra and Functions
2.8.G.B. Use algebraic representations to solve problems using coordinate geometry.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

2.9. Geometry
2.9.G.A. Identify and use properties and relations of geometric figures; create justifications for arguments related to geometric relations.
Flip Charts Dot to Dot
Flip Charts Finding Volume
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
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 Plane Figures: Closed Figure Relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

2.9.G.C. Use techniques from coordinate geometry to establish properties of lines, 2-dimensional shapes.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Science