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## MD.1.0.Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.

Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.
1.A.1. Patterns and Functions: Identify, describe, extend, and create patterns, functions and sequences.
1.A.1.a. Determine the recursive relationship of arithmetic sequences represented in words, in a table or in a graph (Assessment limit: Provide the nth term no more than 10 terms beyond the last given term using common differences no more than 10 with integers (-100 to 5000)).
Flip Charts Circle Around
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

1.A.1.b. Determine the recursive relationship of geometric sequences represented in words, in a table, or in a graph (Assessment limit: Provide the nth term no more than 5 terms beyond the last given term using the recursive relationship of geometric sequences with whole numbers and a common ratio of no more than 5:1 (0 - 10,000)).
Flip Charts Circle Around
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

1.B.1. Expressions, Equations, and Inequalities: Write, simplify, and evaluate expressions.
1.B.1.a. Write an algebraic expression to represent unknown quantities (Assessment limit: Use one unknown and no more than 3 operations and rational numbers (-1000 to 1000)).
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

1.B.1.c. Evaluate numeric expressions using the order of operations (Assessment limit: Use no more than 5 operations including exponents of no more than 3 and 2 sets of parentheses, brackets, a division bar, or absolute value with rational numbers (-100 to 100).
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

1.B.1.d. Simplify algebraic expressions by combining like terms (Assessment limit: Use no more than 3 variables with integers (-50 to 50), or proper fractions with denominators as factors of 20 (-20 to 20)).
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

1.B.1.e. Describe a real-world situation represented by an algebraic expression.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

1.B.2. Expressions, Equations, and Inequalities: Identify, write, solve, and apply equations and inequalities.
1.B.2.a. Write equations or inequalities to represent relationships (Assessment limit Use a variable, the appropriate relational symbols (>, is greater than or equal to, <, is less than or equal to, =), and no more than 3 operational symbols (+, -, x, /) on either side and rational numbers (-1000 to 1000)).
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

1.B.2.d. Identify or graph solutions of inequalities on a number line (Assessment limit: Use one variable once with a positive whole number coefficient and integers (-100 to 100)).
Flip Charts Inequalities
Flip Charts Inequalities
Flip Charts Math: Grade 7
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

1.B.2.f. Apply given formulas to a problem-solving situation (Assessment limit: Use no more than four variables and up to three operations with rational numbers (-500 to 500)).
Flip Charts Algebra Skills
Flip Charts Dot to Dot
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

1.B.2.g. Write equations and inequalities that describe real-world problems.
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

1.C.1. Numeric and Graphic Representations of Relationships: Locate points on a number line and in a coordinate plane.
1.C.1.a. Graph linear equations in a coordinate plane (Assessment limit: Use two unknowns having integer coefficients (-9 to 9) and integer constants (-20 to 20)).
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

1.C.2. Numeric and Graphic Representations of Relationships: Analyze linear relationships.
1.C.2.a. Determine the slope of a graph in a linear relationship (Assessment limit: Use an equation with integer coefficients (-9 to 9) and integer constants (-20 to 20) and a given graph of the relationship).
Flip Charts Math: Grade 7
Flip Charts Slope
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

1.C.2.b. Determine the slope of a linear relationship represented numerically or algebraically.
Flip Charts Math: Grade 7
Flip Charts Slope
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

## MD.2.0.Knowledge Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.

Knowledge Geometry: Students will apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.
2.A.1. Properties of Plane Geometric Figures: Analyze the properties of plane geometric figures.
2.A.1.a. Identify and describe geometric relationships between angles formed when parallel lines are cut by a transversal (Assessment limit: Use alternate interior, alternate exterior, or corresponding angles).
Flip Charts Math Grade 8
Flip Charts Plane Geometry

2.A.1.b. Identify and describe the relationship among the parts of a right triangle (Assessment limit: Use the hypotenuse or the legs of right triangles).
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

2.A.2. Properties of Plane Geometric Figures: Analyze geometric relationships.
2.A.2.a. Determine the measurements of angles formed by parallel lines cut by a transversal (Assessment limit: Use alternate interior, alternate exterior, and corresponding angles).
Flip Charts Math Grade 8
Flip Charts Plane Geometry

2.A.2.b. Apply right angle concepts to solve real-world problems (Assessment limit: Use the Pythagorean Theorem).
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

2.A.2.c. Determine whether three given side lengths form a right triangle.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

2.D.1. Congruence and Similarity: Apply the properties of similar polygons.
2.D.1.a. Determine similar parts of polygons (Assessment limit: Use the length of corresponding sides or the measure of corresponding angles and rational numbers with no more than 2 decimal places (0 - 1000)).
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

## MD.3.0.Knowledge of Measurement: Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools, or technology for determining measurements.

Knowledge of Measurement: Students will identify attributes, units, or systems of measurements or apply a variety of techniques, formulas, tools, or technology for determining measurements.
3.C.1. Applications in Measurement: Estimate and apply measurement formulas.
3.C.1.a. Estimate and determine the circumference or area of a circle (Assessment limit: Include circles using rational numbers with no more than 2 decimal places (0 - 10,000)).
Flip Charts Dot to Dot
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

3.C.1.c. Estimate and determine the volume of a cylinder (Assessment limit: Use cylinders, the given the formula, and whole number dimensions (0 - 10,000)).
Flip Charts Finding Volume
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

3.C.1.d. Determine the volume of cones, pyramids, and spheres.
Flip Charts Finding Volume
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

3.C.1.e. Determine the surface area of cylinders, prisms, and pyramids.
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

3.C.2. Applications in Measurement: Analyze measurement relationships.
3.C.2.a. Use proportional reasoning to solve measurement problems (Assessment limit: Use proportions, scale drawings with scales as whole numbers, or rates using whole numbers or decimals (0 - 1000)).
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions
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

## MD.4.0.Knowledge of Statistics: Students will collect, organize, display, analyze, or interpret data to make decisions or predictions.

Knowledge of Statistics: Students will collect, organize, display, analyze, or interpret data to make decisions or predictions.
4.A.1. Data Displays: Organize and display data.
4.A.1.b. Organize and display data to make box-and-whisker plots (Assessment limit: Use no more than 12 pieces of data and whole numbers (0 - 1000)).
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

4.A.1.c. Organize and display data to make a scatter plot (Assessment limit: Use no more than 10 points and whole numbers (0 - 1000)).
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

4.B.1. Data Analysis: Analyze data.
4.B.1.a. Interpret tables (Assessment limit: Use no more than 5 categories having no more than 2 quantities per category and whole numbers or decimals with no more than 2 decimal places (0 - 100)).
Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

4.B.1.b. Interpret box-and-whisker plots (Assessment limit: Use minimum, first (lower) quartile, median (middle quartile, third (upper) quartile, or maximum and whole numbers (0 - 100)).
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

4.B.1.c. Interpret scatter plots (Assessment limit: Use no more than 10 points using whole numbers or decimals with no more than 2 decimal places (0 - 100)).
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

4.B.1.d. Interpret circle graphs (Assessment limit: Use no more than 8 categories (0 - 1000)).
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 Using graphs to analyze data

4.B.1.e. Analyze multiple box-and-whisker plots using the same scale.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

## MD.5.0.Knowledge of Probability: Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation.

Knowledge of Probability: Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation.
5.A.1. Sample Space: Identify a sample space.
5.A.1.a. Describe the difference between independent and dependent events.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

5.B.1. Theoretical Probability: Determine the probability of an event comprised of no more than 2 independent events.
5.B.1.a. Express the probability of an event as a fraction, a decimal, or a percent (Assessment limit: Use a sample space of 36 to 60 outcomes).
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

5.B.2. Theoretical Probability Determine the probability of a second event that is dependent on a first event of equally likely outcomes.
5.B.2.a. Express the probability as a fraction, a decimal, or a percent (Assessment limit: Use a sample space of no more than 60 outcomes).
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

5.C.1. Experimental Probability: Analyze the results of a survey or simulation.
5.C.1.a. Make predictions and express the probability of the results as a fraction, a decimal with no more than 2 decimal places, or a percent (Assessment limit: Use 20 to 500 results).
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

5.C.2. Experimental Probability: Conduct a probability experiment.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

5.C.3. Experimental Probability: Compare outcomes of theoretical probability with the results of experimental probability.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

5.C.4. Experimental Probability: Describe the difference between theoretical and experimental probability.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

## MD.6.0.Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil, or technology.

Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil, or technology.
6.A.1. Knowledge of Number and Place Value: Apply knowledge of rational numbers and place value.
6.A.1.a. Read, write, and represent rational numbers (Assessment limit: Use exponential notation or scientific notation (-10,000 to 1,000,000,000)).
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

6.A.1.b. Compare, order, and describe rational numbers with and without relational symbols (<, >, =) (Assessment limit: Use no more than 4 integers (-100 to 100) or positive rational numbers (0-100) using equivalent forms or absolute value).
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

6.C.1. Number Computation: Analyze number relations and compute.
6.C.1.a. Add, subtract, multiply and divide integers (Assessment limit: Use one operation (-1000 to 1000)).
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

6.C.1.b. Calculate powers of integers and square roots of perfect square whole numbers (Assessment limit: Use powers with bases no more than 12 and exponents no more than 3, or square roots of perfect squares no more than 144).
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

6.C.1.c. Identify and use the laws of exponents to simplify expressions (Assessment limit: Use the rules of power times power or power divided by power with the same integer as a base (-20 to 20) and exponents (0-10)).
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

6.C.1.d. Use properties of addition and multiplication to simplify expressions (Assessment limit: Use the commutative property of addition or multiplication, associative property of addition or multiplication, additive inverse property, the distributive property, or the identity property for one or zero with integers (-100 to 100).
Flip Charts Math Grade 8
Flip Charts The Real Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

6.C.3. Number Computation: Analyze ratios, proportions, and percents.
6.C.3.a. Determine unit rates (Assessment limit: Use positive rational numbers (0 - 100)).
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

6.C.3.b. Determine or use percents, rates of increase and decrease, discount, commission, sales tax, and simple interest in the context of a problem (Assessment limit: Use positive rational numbers (0 - 10,000)).
Flip Charts Applying Percents
Flip Charts Math Grade 8
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 Introduction to Percent

6.C.3.c. Solve problems using proportional reasoning (Assessment limit: Use positive rational numbers (0 - 1000)).
Flip Charts All About Percents
Flip Charts Applying Percents
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
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

## MD.7.0.Processes of Mathematics: Students demonstrate the processes of mathematics by making connections and applying reasoning to solve problems and to communicate their findings.

Processes of Mathematics: Students demonstrate the processes of mathematics by making connections and applying reasoning to solve problems and to communicate their findings.
7.A.1. Problem Solving: Apply a variety of concepts, processes, and skills to solve problems
7.A.1.c. Make a plan to solve a problem
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

7.A.1.d. Apply a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

7.A.1.e. Select a strategy, i.e., draw a picture, guess and check, finding a pattern, writing an equation
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

7.A.1.f. Identify alternative ways to solve a problem
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

7.B.1. Reasoning: Justify ideas or solutions with mathematical concepts or proofs
7.B.1.a. Use inductive or deductive reasoning
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.B.1.b. Make or test generalizations
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.B.1.d. Use methods of proof, i.e., direct, indirect, paragraph, or contradiction
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.D.1. Connections: Relate or apply mathematics within the discipline, to other disciplines, and to life
7.D.1.c. Identify mathematical concepts in relationship to life
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

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