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

Correlation last revised: 4/4/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.