8.N: Number Sense and Operations

8.N.1: Develop and apply the laws of exponents for multiplication and division

Dividing Exponential Expressions
Multiplying Exponential Expressions

8.N.2: Evaluate expressions with integral exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Order of Operations

8.N.3: Read, write, and identify percents less than 1% and greater than 100%

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

8.N.4: Apply percents to:

8.N.4.b: Percent increase/decrease

Percent of Change

8.N.4.c: Simple interest

Compound Interest

8.N.4.d: Sale price

Percent of Change

8.N.4.f: Interest rates

Compound Interest

8.N.6: Justify the reasonableness of answers using estimation

Estimating Sums and Differences

8.A: Algebra

8.A.2: Write verbal expressions that match given mathematical expressions

Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

8.A.3: Describe a situation involving relationships that matches a given graph

Quadratics in Polynomial Form

8.A.5: Use physical models to perform operations with polynomials

Addition of Polynomials

8.A.6: Multiply and divide monomials

Dividing Exponential Expressions
Multiplying Exponential Expressions

8.A.7: Add and subtract polynomials (integer coefficients)

Addition of Polynomials

8.A.9: Divide a polynomial by a monomial (integer coefficients) Note: The degree of the denominator is less than or equal to the degree of the numerator for all variables.

Dividing Polynomials Using Synthetic Division

8.A.10: Factor algebraic expressions using the GCF

Factoring Special Products

8.A.13: Solve multi-step inequalities and graph the solution set on a number line

Compound Inequalities

8.A.14: Solve linear inequalities by combining like terms, using the distributive property, or moving variables to one side of the inequality (include multiplication or division of inequalities by a negative number)

Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)

8.A.15: Understand that numerical information can be represented in multiple ways: arithmetically, algebraically, and graphically

Using Algebraic Expressions

8.A.16: Find a set of ordered pairs to satisfy a given linear numerical pattern (expressed algebraically); then plot the ordered pairs and draw the line

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

8.A.17: Define and use correct terminology when referring to function (domain and range)

Function Machines 3 (Functions and Problem Solving)
Introduction to Functions

8.A.18: Determine if a relation is a function

Introduction to Functions
Linear Functions
Points, Lines, and Equations

8.A.19: Interpret multiple representations using equation, table of values, and graph

Absolute Value Equations and Inequalities
Exponential Functions
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Radical Functions

8.G: Geometry

8.G.0: Construct the following, using a straight edge and compass:

8.G.0.d: Angle bisector

Segment and Angle Bisectors

8.G.1: Identify pairs of vertical angles as congruent

Triangle Angle Sum

8.G.2: Identify pairs of supplementary and complementary angles

Investigating Angle Theorems

8.G.3: Calculate the missing angle in a supplementary or complementary pair

Investigating Angle Theorems

8.G.5: Calculate the missing angle measurements when given two parallel lines cut by a transversal

Triangle Angle Sum

8.G.6: Calculate the missing angle measurements when given two intersecting lines and an angle

Concurrent Lines, Medians, and Altitudes
Triangle Angle Sum

8.G.8: Draw the image of a figure under rotations of 90 and 180 degrees

Dilations
Rotations, Reflections, and Translations
Translations

8.G.9: Draw the image of a figure under a reflection over a given line

Classifying Quadrilaterals
Dilations
Rotations, Reflections, and Translations
Translations

8.G.10: Draw the image of a figure under a translation

Dilations
Rotations, Reflections, and Translations
Translations

8.G.11: Draw the image of a figure under a dilation

Dilations
Rotations, Reflections, and Translations
Translations

8.G.12: Identify the properties preserved and not preserved under a reflection, rotation, translation, and dilation

Circles
Dilations
Holiday Snowflake Designer
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Similar Figures
Translations

8.G.13: Determine the slope of a line from a graph and explain the meaning of slope as a constant rate of change

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

8.G.14: Determine the y-intercept of a line from a graph and be able to explain the y-intercept

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

8.G.15: Graph a line using a table of values

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.G.16: Determine the equation of a line given the slope and the y-intercept

Linear Inequalities in Two Variables
Point-Slope Form of a Line
Standard Form of a Line

8.G.17: Graph a line from an equation in slope-intercept form (y = mx + b)

Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

8.G.18: Solve systems of equations graphically (only linear, integral solutions, y = mx + b format, no vertical/horizontal lines)

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)

8.G.19: Graph the solution set of an inequality on a number line

Compound Inequalities
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

8.G.20: Distinguish between linear and nonlinear equations ax² + bx + c; a=1 (only graphically)

Absolute Value with Linear Functions
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Solving Equations by Graphing Each Side
Standard Form of a Line

8.G.21: Recognize the characteristics of quadratics in tables, graphs, equations, and situations

Addition and Subtraction of Functions
Exponential Functions
Graphs of Polynomial Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Translating and Scaling Functions