Content Standards

8.M.1: Number and Operation

8.M.1.1: Understand and use numbers.

8.M.1.1.1: Compare magnitudes and relative magnitudes of rational numbers, including integers, fractions, decimals, percents, and absolute values.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

8.M.1.1.2: Use rational numbers, including percents and ratios, and pi to solve problems.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

8.M.1.1.3: Locate the position of rational numbers and positive real numbers on a number line.

Adding and Subtracting Integers

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

8.M.1.1.4: Convert between standard form, scientific notation, and exponential form.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.M.1.1.5: Apply number theory concepts (primes, composites, prime factorization, LCM, GCF).

Chocomatic (Multiplication, Arrays, and Area)

Finding Factors with Area Models

8.M.1.1.7: Apply integers in one- and two-step common realworld situations.

Integers, Opposites, and Absolute Values

8.M.1.2: Perform computations accurately.

8.M.1.2.2: Add, subtract, multiply, and divide rational numbers.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

8.M.1.2.3: Evaluate numerical expressions with whole number exponents.

8.M.1.2.4: Evaluate numerical expressions with rational numbers using the order of operations.

8.M.1.2.6: Use a variety of strategies including common mathematical formulas to compute problems drawn from real life situations.

8.M.1.3: Estimate and judge reasonableness of results.

8.M.1.3.5: Formulate conjectures and justify (short of formal proof) why they must be or seem to be true.

8.M.2: Concepts and Principles of Measurement

8.M.2.1: Understand and use U.S. customary and metric measurements.

8.M.2.1.3: Compare the differences and relationships among measures of perimeter, area, and volume (capacity) within both systems.

Circumference and Area of Circles

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

Pyramids and Cones

8.M.2.1.4: Given the formulas, find the circumference, perimeter, or area of triangles, circles, and quadrilaterals, and the volume and surface area of rectangular prisms.

Area of Parallelograms

Area of Triangles

Circumference and Area of Circles

Perimeter and Area of Rectangles

Prisms and Cylinders

Surface and Lateral Areas of Prisms and Cylinders

8.M.2.1.5: Convert units of measurement within each system in problem solving situations.

8.M.2.1.6: Solve problems involving area of circles and the perimeter and area of rectangles and triangles.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Circumference and Area of Circles

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

8.M.2.2: Apply the concepts of rates, ratios, and proportions.

8.M.2.2.1: Use rates, proportions, ratios, and map scales in problem-solving situations.

Beam to Moon (Ratios and Proportions)

Dilations

Direct and Inverse Variation

Estimating Population Size

Household Energy Usage

Part-to-part and Part-to-whole Ratios

Points in the Coordinate Plane

Proportions and Common Multipliers

Road Trip (Problem Solving)

8.M.2.2.2: Determine unit rates in real-world situations.

Household Energy Usage

Road Trip (Problem Solving)

8.M.2.3: Apply dimensional analysis.

8.M.2.3.1: Illustrate the interrelationship of measurement units through dimensional analysis conversions.

8.M.3: Concepts and Language of Algebra and Functions

8.M.3.1: Use algebraic symbolism as a tool to represent mathematical relationships.

8.M.3.1.1: Use variables in expressions, equations, and inequalities.

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations I

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Using Algebraic Equations

8.M.3.1.2: Translate simple word statements and story problems into algebraic expressions and equations.

Linear Functions

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

8.M.3.1.3: Use symbols "<", ">", "=", "not equal to", "less than or equal to", and "greater than or equal to" to express relationships.

Comparing and Ordering Decimals

8.M.3.2: Evaluate algebraic expressions.

8.M.3.2.1: Use and apply the following properties in evaluating algebraic expressions: commutative, associative, identity, zero, inverse, distributive, and substitution.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

8.M.3.2.2: Use the order of operations in evaluating simple algebraic expressions.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

8.M.3.2.3: Simplify algebraic expressions.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Multiplying Exponential Expressions

Operations with Radical Expressions

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

8.M.3.3: Solve algebraic equations and inequalities.

8.M.3.3.1: Solve one-and two-step equations and inequalities.

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Point-Slope Form of a Line

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

Standard Form of a Line

8.M.3.3.2: Match graphical representations with simple linear equations.

Absolute Value with Linear Functions

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

8.M.3.4: Understand the concept of functions.

8.M.3.4.2: Use relationships to explain how a change in one quantity may result in a change in another, and identify the relationship as a positive, negative, or neither.

Direct and Inverse Variation

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points, Lines, and Equations

Translating and Scaling Functions

8.M.3.4.3: Use appropriate vocabulary and notations.

Function Machines 1 (Functions and Tables)

Points, Lines, and Equations

8.M.3.6: Apply functions to a variety of problems.

8.M.3.6.1: Use patterns and linear functions to represent and solve problems.

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Slope-Intercept Form of a Line

8.M.4: Concepts and Principles of Geometry

8.M.4.1: Apply concepts of size, shape, and spatial relationships.

8.M.4.1.1: Describe and classify relationships among types of one-, two-, and three-dimensional geometric figures, using their defining properties.

Classifying Quadrilaterals

Classifying Triangles

Congruence in Right Triangles

Parallelogram Conditions

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures

Special Parallelograms

8.M.4.1.4: Identify and model the effects of reflections, translations, rotations, and scaling on various shapes.

Dilations

Holiday Snowflake Designer

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Similar Figures

Translations

8.M.4.1.5: Identify congruence, similarities, and line symmetry of shapes.

Constructing Congruent Segments and Angles

Holiday Snowflake Designer

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

8.M.4.1.6: Explain the concept of surface area and volume (capacity).

Surface and Lateral Areas of Prisms and Cylinders

8.M.4.3: Apply graphing in two dimensions.

8.M.4.3.1: Identify and plot points on a coordinate plane.

City Tour (Coordinates)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

8.M.5: Data Analysis, Probability, and Statistics

8.M.5.1: Understand data analysis.

8.M.5.1.1: Analyze and interpret tables, charts, and graphs, including frequency tables, scatter plots, broken line graphs, line plots, bar graphs, histograms, circle graphs, and stem-and-leaf plots.

Correlation

Histograms

Least-Squares Best Fit Lines

Mean, Median, and Mode

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

8.M.5.1.3: Use appropriate vocabulary and notations.

8.M.5.2: Collect, organize, and display data.

8.M.5.2.1: Collect, organize, and display data with appropriate notation in tables, charts, and graphs, including scatter plots, broken line graphs, line plots, bar graphs, histograms, and stem-and-leaf plots.

Correlation

Describing Data Using Statistics

Distance-Time Graphs

Histograms

Least-Squares Best Fit Lines

Mean, Median, and Mode

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

8.M.5.3: Apply simple statistical measurements.

8.M.5.3.1: Choose and calculate the appropriate measure of central tendency – mean, median, and mode.

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

8.M.5.3.2: Explain the significance of distribution of data, including range, frequency, gaps, and clusters.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

8.M.5.4: Understand basic concepts of probability.

8.M.5.4.1: Model situations of probability using simulations.

Probability Simulations

Theoretical and Experimental Probability

8.M.5.4.2: Recognize equally likely outcomes.

Probability Simulations

Spin the Big Wheel! (Probability)

8.M.5.4.3: Explain that probability ranges from 0% to 100% and identify a situation as having high or low probability.

Spin the Big Wheel! (Probability)

8.M.5.5: Make predictions or decisions based on data.

8.M.5.5.1: Make predictions based on experimental and theoretical probabilities.

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

8.M.5.5.3: Use appropriate vocabulary and notations.

Probability Simulations

Theoretical and Experimental Probability

Correlation last revised: 1/20/2017

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