8.1: Students know the properties of rational and irrational numbers expressed in a variety of forms. They understand and use exponents, powers, and roots.

8.1.1: Read, write, compare, and solve problems using decimals in scientific notation.

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

8.1.2: Know that every rational number is either a terminating or repeating decimal and that every irrational number is a non-repeating decimal.

Circumference and Area of Circles

8.1.3: Understand that computations with an irrational number and a rational number (other than zero) produce an irrational number.

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

8.1.4: Understand and evaluate negative integer exponents.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

8.1.5: Use the laws of exponents for integer exponents.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

8.1.6: Use the inverse relationship between squaring and finding the square root of a perfect square integer.

Square Roots

8.1.7: Calculate and find approximations of square roots.

Square Roots

8.2: Students compute with rational numbers expressed in a variety of forms. They solve problems involving ratios, proportions, and percentages.

8.2.1: Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) in multi-step problems.

Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Dividing Mixed Numbers
Estimating Sums and Differences
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

8.2.2: Solve problems by computing simple and compound interest.

Compound Interest

8.2.4: Use mental arithmetic to compute with common fractions, decimals, powers, and percents.

Percents, Fractions, and Decimals
Sums and Differences with Decimals

8.3: Students solve simple linear equations and inequalities. They interpret and evaluate expressions involving integer powers. They graph and interpret functions. They understand the concepts of slope and rate.

8.3.2: Solve systems of two linear equations using the substitution method and identify approximate solutions graphically.

Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

8.3.4: Use the correct order of operations to find the values of algebraic expressions involving powers.

Order of Operations
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

8.3.5: Identify and graph linear functions and identify lines with positive and negative slope.

Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line

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

Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line

8.3.8: Demonstrate an understanding of the relationships among tables, equations, verbal expressions, and graphs of linear functions.

Arithmetic Sequences
Compound Interest
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points, Lines, and Equations
Slope-Intercept Form of a Line

8.3.10: Graph functions of the form y = nx² and y = nx³ and describe the similarities and differences in the graphs.

Addition and Subtraction of Functions
Exponential Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Translating and Scaling Functions

8.4: Students deepen their understanding of plane and solid geometric shapes and properties by constructing shapes that meet given conditions, by identifying attributes of shapes, and by applying geometric concepts to solve problems.

8.4.1: Identify and describe basic properties of geometric shapes: altitudes, diagonals, angle and perpendicular bisectors, central angles, radii, diameters, and chords.

Classifying Quadrilaterals
Parallelogram Conditions

8.4.2: Perform simple constructions, such as bisectors of segments and angles, copies of segments and angles, and perpendicular segments. Describe and justify the constructions.

Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Segment and Angle Bisectors

8.4.4: Draw the translation (slide), rotation (turn), reflection (flip), and dilation (stretches and shrinks) of shapes.

Dilations
Rotations, Reflections, and Translations
Similar Figures
Translations

8.4.5: Use the Pythagorean Theorem and its converse to solve problems in two and three dimensions.

Circles
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Surface and Lateral Areas of Pyramids and Cones

8.5: Students convert between units of measure and use rates and scale factors to solve problems. They compute the perimeter, area, and volume of geometric objects. They investigate how perimeter, area, and volume are affected by changes of scale.

8.5.1: Convert common measurements for length, area, volume, weight, capacity, and time to equivalent measurements within the same system.

Unit Conversions

8.5.2: Solve simple problems involving rates and derived measurements for attributes such as velocity and density.

Household Energy Usage

8.5.3: Solve problems involving scale factors, area, and volume using ratio and proportion.

Beam to Moon (Ratios and Proportions)
Dilations
Perimeters and Areas of Similar Figures
Similar Figures

8.5.4: Use formulas for finding the perimeter and area of basic two-dimensional shapes and the surface area and volume of basic three-dimensional shapes, including rectangles, parallelograms, trapezoids, triangles, circles, prisms, cylinders, spheres, cones, and pyramids.

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Perimeter and Area of Rectangles
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

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

Area of Triangles

8.6: Students collect, organize, represent, and interpret relationships in data sets that have one or more variables. They determine probabilities and use them to make predictions about events.

8.6.1: Identify claims based on statistical data and, in simple cases, evaluate the reasonableness of the claims. Design a study to investigate the claim.

Real-Time Histogram

8.6.2: Identify different methods of selecting samples, analyzing the strengths and weaknesses of each method, and the possible bias in a sample or display.

Describing Data Using Statistics
Polling: City
Populations and Samples

8.6.3: Understand the meaning of, and be able to identify or compute the minimum value, the lower quartile, the median, the upper quartile, the interquartile range, and the maximum value of a data set.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Sight vs. Sound Reactions
Stem-and-Leaf Plots

8.6.4: Analyze, interpret, and display single- and two-variable data in appropriate bar, line, and circle graphs; stem-and-leaf plots; and box-and-whisker plots and explain which types of display are appropriate for various data sets.

Box-and-Whisker Plots
Distance-Time Graphs
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots

8.6.5: Represent two-variable data with a scatterplot on the coordinate plane 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
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

8.6.6: Understand and recognize equally likely events.

Probability Simulations
Spin the Big Wheel! (Probability)