8.1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation.

8.1.1: Generate and solve complex abstract problems that involve modeling physical, social, or mathematical phenomena.

Estimating Population Size

8.1.2: Evaluate conjectures and pose follow-up questions to prove or disprove conjectures.

Biconditional Statements

8.1.4: Understand equivalent symbolic expressions as distinct symbolic forms that represent the same relationship.

Dividing Exponential Expressions
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Exponents and Power Rules
Multiplying Exponential Expressions
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Using Algebraic Expressions

8.1.6: Use correct and clearly written or spoken words, variables, and notations to communicate about significant mathematical tasks.

Using Algebraic Expressions

8.1.7: Generalize connections among a variety of representational forms and real-world situations.

Estimating Population Size

8.1.8: Use standard and nonstandard representations to convey and support mathematical relationships.

Linear Functions

8.2: The student will demonstrate through the mathematical processes an understanding of operations with integers, the effects of multiplying and dividing with rational numbers, the comparative magnitude of rational and irrational numbers, the approximation of cube and square roots, and the application of proportional reasoning.

8.2.1: Apply an algorithm to add, subtract, multiply, and divide integers.

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials

8.2.2: Understand the effect of multiplying and dividing a rational number by another rational number.

Adding and Subtracting Integers
Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals

8.2.5: Apply the concept of absolute value.

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

8.2.6: Apply strategies and procedures to approximate between two whole numbers the square roots or cube roots of numbers less than 1,000.

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

8.2.7: Apply ratios, rates, and proportions.

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Geometric Probability
Part-to-part and Part-to-whole Ratios
Percents and Proportions
Proportions and Common Multipliers
Road Trip (Problem Solving)

8.3: The student will demonstrate through the mathematical processes an understanding of equations, inequalities, and linear functions.

8.3.1: Translate among verbal, graphic, tabular, and algebraic representations of linear functions.

Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Exponential Functions
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
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

8.3.2: Represent algebraic relationships with equations and inequalities.

Absolute Value Equations and Inequalities
Linear Functions
Linear Inequalities in Two Variables
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Using Algebraic Equations

8.3.3: Use commutative, associative, and distributive properties to examine the equivalence of a variety of algebraic expressions.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Modeling the Factorization of x²+bx+c
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

8.3.4: Apply procedures to solve multistep equations.

Modeling and Solving Two-Step Equations
Point-Slope Form of a Line
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Standard Form of a Line

8.3.6: Identify the coordinates of the x- and y-intercepts of a linear equation from a graph, equation, and/or table.

Cat and Mouse (Modeling with Linear Systems)
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

8.3.7: Identify the slope of a linear equation from a graph, equation, and/or table.

Cat and Mouse (Modeling with Linear Systems)
Function Machines 2 (Functions, Tables, and Graphs)
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line

8.4: The student will demonstrate through the mathematical processes an understanding of the Pythagorean theorem; the use of ordered pairs, equations, intercepts, and intersections to locate points and lines in a coordinate plane; and the effect of a dilation in a coordinate plane.

8.4.1: Apply the Pythagorean theorem.

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

8.4.2: Use ordered pairs, equations, intercepts, and intersections to locate points and lines in a coordinate plane.

Cat and Mouse (Modeling with Linear Systems)
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
Slope-Intercept Form of a Line
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)

8.4.3: Apply a dilation to a square, rectangle, or right triangle in a coordinate plane.

Dilations

8.4.4: Analyze the effect of a dilation on a square, rectangle, or right triangle in a coordinate plane.

Dilations

8.5: The student will demonstrate through the mathematical processes an understanding of the proportionality of similar figures; the necessary levels of accuracy and precision in measurement; the use of formulas to determine circumference, perimeter, area, and volume; and the use of conversions within and between the U.S. Customary System and the metric system.

8.5.2: Explain the effect on the area of two-dimensional shapes and on the volume of three-dimensional shapes when one or more of the dimensions are changed.

Perimeter and Area of Rectangles

8.5.3: Apply strategies and formulas to determine the volume of the three-dimensional shapes cone and sphere.

Pyramids and Cones

8.5.4: Apply formulas to determine the exact (pi) circumference and area of a circle.

Circumference and Area of Circles

8.5.7: Use multistep unit analysis to convert between and within U.S. Customary System and the metric system.

Unit Conversions

8.6: The student will demonstrate through the mathematical processes an understanding of the relationships between two variables within one population or sample.

8.6.1: Generalize the relationship between two sets of data by using scatterplots and lines of best fit.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

8.6.2: Organize data in matrices or scatterplots as appropriate.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

8.6.4: Apply procedures to calculate the probability of two dependent events.

Independent and Dependent Events

8.6.5: Interpret the probability for two dependent events.

Independent and Dependent Events

8.6.7: Analyze probability using area models.

Geometric Probability

8.6.8: Interpret graphic and tabular data representations by using range and the measures of central tendency (mean, median, and mode).

Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots