8.1: Number Sense and Computation

8.1.2: Recognize positive integer powers as repeated multiplication. Recognize negative integer powers as repeated division or multiplication by the multiplicative inverse.

Dividing Exponential Expressions
Exponents and Power Rules

8.1.3: Use the laws of exponents for integer exponents and evaluate expressions with negative integer exponents.

Dividing Exponential Expressions
Exponents and Power Rules

8.1.5: Calculate square roots of perfect squares, estimate square roots of numbers less than 1,000, and use the inverse relationship between squares and square roots.

Square Roots

8.1.6: Solve percent, ratio and proportion problems.

8.1.6.1: Find average rates.

Describing Data Using Statistics
Mean, Median and Mode
Movie Reviewer (Mean and Median)

8.1.6.2: Express one quantity as a percent of another.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions

8.1.6.3: Compare two quantities by percent.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions

8.1.6.4: Use percents greater than 100 percent.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions

8.1.6.5: Increase or decrease a quantity by a given percent.

Percent of Change

8.1.6.6: Find the original amount for a given percent increase or decrease.

Percent of Change

8.1.6.7: Solve problems involving percents, ratios and proportions.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Percents and Proportions
Polling: Neighborhood
Proportions and Common Multipliers

8.1.6.8: Solve problems involving simple and compound interest.

Simple and Compound Interest

8.2: Algebra and Functions

8.2.1: Write and solve linear equations and inequalities, interpret the solution or solutions in their context, and verify the reasonableness of the results.

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
Using Algebraic Equations
Using Algebraic Expressions

8.2.2: Solve equations and formulas for a specified variable.

Modeling and Solving Two-Step Equations
Solving Formulas for any Variable
Solving Two-Step Equations

8.2.3: Simplify algebraic expressions involving powers.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

8.2.4: Identify and graph linear functions and identify lines with positive and negative slopes.

Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A

8.2.5: Find the slope of a linear function given the equation. Write the equation of a line given the slope and any point on the line.

Defining a Line with Two Points
Linear Functions
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A

8.2.6: Translate among tables, equations, verbal expressions and graphs of linear functions and recognize in (y = mx + b) that m is the rate of change and b is the vertical intercept of the graph.

Direct Variation
Direct and Inverse Variation
Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

8.2.7: Identify functions as linear or nonlinear and contrast their characteristics from tables, graphs and equations.

Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Point-Slope Form of a Line - Activity A
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

8.2.8: Use linear functions and linear equations to represent, analyze and solve problems.

Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

8.3: Geometry and Measurement

8.3.1: Perform basic compass and straightedge constructions: angle and segment bisectors, copies of segments and angles, and perpendicular segments. Describe and justify the constructions.

Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles

8.3.3: Explain why the Pythagorean Theorem is valid using a variety of methods and use the Pythagorean Theorem and its converse to calculate lengths of line segments.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

8.3.4: Solve simple problems involving rates and other derived measurements - including problems involving speed, uniform speed, average speed and density - by applying the concept of proportionality to measurement in different contexts. Express measurements in a given unit or in terms of other units of the same type.

Density Experiment: Slice and Dice
Density Laboratory
Density via Comparison
Determining Density via Water Displacement
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Polling: Neighborhood
Road Trip (Problem Solving)

8.3.5: Use scale factors to find the area and volume of similar figures.

Perimeters and Areas of Similar Figures
Prisms and Cylinders - Activity A
Similar Figures - Activity A
Similar Polygons

8.3.6: Find and use the surface area and volume of cones, spheres and pyramids.

Pyramids and Cones - Activity A
Surface and Lateral Area of Pyramids and Cones

8.3.7: Estimate and compute the area of irregular two-dimensional shapes and the volume of irregular three-dimensional objects by breaking them down into more basic geometric objects.

Area of Parallelograms - Activity A

8.4: Data Analysis and Probability

8.4.2: Identify different methods of selecting samples. Analyze the strengths and weaknesses of each method and the possible bias in samples or displays.

Polling: Neighborhood

8.4.3: Use mean, median, mode, upper and lower quartiles, and range to compare data sets. Organize and display data to highlight important features such as the range and how the data is spread around a central value. Investigate what happens to the display when some of the data values are changed.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots

8.4.4: Analyze, interpret and display data in box-and-whisker plots.

Box-and-Whisker Plots

8.4.5: Display two-variable data in scatter plots and describe how the data points are distributed. If the pattern appears to be linear, draw a line that appears to best fit the data and write the equation of that line.

Correlation
Lines of Best Fit Using Least Squares - Activity A
Scatter Plots - Activity A
Solving Using Trend Lines

8.4.6: Describe and apply the addition rule for probabilities for simple events that are mutually exclusive and for simple events that are not.

Probability Simulations
Theoretical and Experimental Probability

8.4.7: Compute probabilities of events from simple experiments with equally probable outcomes. Use methods like organized lists, tree diagrams and area models.

Geometric Probability - Activity A
Permutations
Permutations and Combinations
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability