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.

Order of Operations

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

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.

Estimating Population Size

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.

Biconditional Statements

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.

Unit Conversions

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.

Unit 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
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

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.

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
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.

Polling: City

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