Alabama Common Core
8.NS.1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
Improper Fractions and Mixed Numbers
Percents, Fractions, and Decimals
8.EE.3: Know and apply the properties of integer exponents to generate equivalent numerical expressions.
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
8.EE.4: Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
Square Roots
8.EE.7: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.
Polling: Neighborhood
Road Trip (Problem Solving)
Slope - Activity B
8.EE.8: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
Defining a Line with Two Points
Perimeters and Areas of Similar Figures
Point-Slope Form of a Line - Activity A
Points, Lines, and Equations
Similar Figures - Activity A
Similar Polygons
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity B
8.EE.9: Solve linear equations in one variable.
8.EE.9.a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations
8.EE.9.b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Chocomatic (Multiplication, Arrays, and Area)
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations
8.EE.10: Analyze and solve pairs of simultaneous linear equations.
8.EE.10.a: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
8.EE.10.b: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
8.EE.10.c: Solve real-world and mathematical problems leading to two linear equations in two variables.
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
8.F.11: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Linear Functions
Points, Lines, and Equations
8.F.12: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
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)
Introduction to Functions
Linear Functions
Points, Lines, and Equations
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 Algebraic Equations
Using Algebraic Expressions
8.F.13: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Points, Lines, and Equations
Slope-Intercept Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity B
8.F.14: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Direct Variation
Direct and Inverse Variation
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Linear Functions
Modeling Linear Systems - Activity A
Point-Slope Form of a Line - Activity A
Points, Lines, and Equations
Slope-Intercept Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity B
8.F.15: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Points, Lines, and Equations
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 B
Using Algebraic Equations
Using Algebraic Expressions
8.G.16: Verify experimentally the properties of rotations, reflections, and translations:
8.G.16.a: Lines are taken to lines, and line segments to line segments of the same length.
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations
Translations
8.G.16.b: Angles are taken to angles of the same measure.
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations
Translations
8.G.16.c: Parallel lines are taken to parallel lines.
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations
Translations
8.G.17: Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations
Translations
8.G.18: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Dilations
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations
Translations
8.G.19: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Dilations
Perimeters and Areas of Similar Figures
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations
Similar Figures - Activity A
Similar Polygons
Translations
8.G.20: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
Bisectors in Triangles
Investigating Angle Theorems - Activity A
Similar Figures - Activity A
Similar Polygons
Triangle Angle Sum - Activity A
8.G.21: Explain a proof of the Pythagorean Theorem and its converse.
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
8.G.22: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
8.G.23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
8.G.24: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
8.SP.25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Arithmetic and Geometric Sequences
Correlation
Finding Patterns
Geometric Sequences
Scatter Plots - Activity A
Solving Using Trend Lines
8.SP.26: Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
Correlation
Lines of Best Fit Using Least Squares - Activity A
Scatter Plots - Activity A
Solving Using Trend Lines
8.SP.27: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.
Points, Lines, and Equations
Slope-Intercept Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity B
8.SP.28: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.
Arithmetic and Geometric Sequences
Box-and-Whisker Plots
Describing Data Using Statistics
Finding Patterns
Geometric Sequences
Histograms
Line Plots
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Scatter Plots - Activity A
Stem-and-Leaf Plots
Correlation last revised: 3/17/2015