SC--College- and Career-Ready Standards

8.NS.1.a: Recognize the differences between rational and irrational numbers.

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

8.NS.1.b: Understand that all real numbers have a decimal expansion.

Comparing and Ordering Decimals

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

Sums and Differences with Decimals

Circumference and Area of Circles

Square Roots

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

8.F.1.a: Understand that a function assigns to each input exactly one 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.1.c: Translate among the multiple representations of a function, including mappings, tables, graphs, equations, and verbal descriptions.

Arithmetic Sequences

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Geometric Sequences

Introduction to Functions

Linear Functions

Points, Lines, and Equations

8.F.1.d: Determine if a relation is a function using multiple representations, including mappings, tables, graphs, equations, and verbal descriptions.

Introduction to Functions

Linear Functions

Points, Lines, and Equations

8.F.1.e: Graph a function from a table of values. Understand that the graph and table both represent a set of ordered pairs of that function.

Absolute Value with Linear Functions

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 Polynomial Form

Radical Functions

Function Machines 2 (Functions, Tables, and Graphs)

Graphs of Polynomial Functions

Linear Functions

Quadratics in Polynomial Form

Absolute Value with Linear Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

8.F.3.a: Define an equation in slope-intercept form (y = mx + b) as being a linear function.

Absolute Value with Linear Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

8.F.3.b: Recognize that the graph of a linear function has a constant rate of change.

Absolute Value with Linear Functions

Compound Interest

Direct and Inverse Variation

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

8.F.3.c: Provide examples of nonlinear functions.

Absolute Value with Linear Functions

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

Arithmetic Sequences

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

Translating and Scaling Functions

8.F.4.a: Understand that the slope is the constant rate of change and the y- intercept is the point where x = 0.

Arithmetic Sequences

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Direct and Inverse Variation

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points, Lines, and Equations

Roots of a Quadratic

Slope-Intercept Form of a Line

Translating and Scaling Functions

8.F.4.b: Determine the slope and the 𝑦-intercept of a linear function given multiple representations, including two points, tables, graphs, equations, and verbal descriptions.

Absolute Value with Linear Functions

Arithmetic Sequences

Cat and Mouse (Modeling with Linear Systems)

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

Translating and Scaling Functions

8.F.4.c: Construct a function in slope-intercept form that models a linear relationship between two quantities.

Arithmetic Sequences

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Points, Lines, and Equations

Slope-Intercept Form of a Line

Translating and Scaling Functions

8.F.4.d: Interpret the meaning of the slope and the y - intercept of a linear function in the context of the situation.

Arithmetic Sequences

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

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

Translating and Scaling Functions

8.F.4.e: Explore the relationship between linear functions and arithmetic sequences.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Arithmetic Sequences

Function Machines 3 (Functions and Problem Solving)

Graphs of Polynomial Functions

Linear Functions

Slope-Intercept Form of a Line

Translating and Scaling Functions

8.F.5.a: Analyze and describe attributes of graphs of functions (e.g., constant, increasing/decreasing, linear/nonlinear, maximum/minimum, discrete/continuous).

Absolute Value with Linear Functions

Arithmetic Sequences

Exponential Functions

Function Machines 3 (Functions and Problem Solving)

Graphs of Polynomial Functions

Introduction to Exponential Functions

Linear Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

Slope-Intercept Form of a Line

Translating and Scaling Functions

8.F.5.b: Sketch the graph of a function from a verbal description.

Arithmetic Sequences

Function Machines 3 (Functions and Problem Solving)

Graphs of Polynomial Functions

Linear Functions

Slope-Intercept Form of a Line

Translating and Scaling Functions

8.F.5.c: Write a verbal description from the graph of a function with and without scales.

Absolute Value with Linear Functions

Exponential Functions

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Improper Fractions and Mixed Numbers

Introduction to Exponential Functions

Multiplying with Decimals

Point-Slope Form of a Line

Quadratics in Factored Form

Quadratics in Polynomial Form

Radical Functions

Solving Equations on the Number Line

Standard Form of a Line

Using Algebraic Equations

Using Algebraic Expressions

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

8.EEI.2.a: Find the exact and approximate solutions to equations of the form x² = p and x³ = p where p is a positive rational number.

Operations with Radical Expressions

Roots of a Quadratic

Simplifying Radical Expressions

Square Roots

8.EEI.2.b: Evaluate square roots of perfect squares.

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

8.EEI.2.d: Recognize that square roots of non-perfect squares are irrational.

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

Number Systems

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.EEI.3.a: Express very large and very small quantities in scientific notation in the form a x 10 to the b power = p where 1 ≤ a < 10 and b is an integer.

Number Systems

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.EEI.3.b: Translate between decimal notation and scientific notation.

Number Systems

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.EEI.3.c: Estimate and compare the relative size of two quantities in scientific notation.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.EEI.4.a: Multiply and divide numbers expressed in both decimal and scientific notation.

Multiplying with Decimals

Square Roots

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.EEI.4.b: Select appropriate units of measure when representing answers in scientific notation.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.EEI.4.c: Translate how different technological devices display numbers in scientific notation.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

8.EEI.5.a: Graph proportional relationships.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

8.EEI.5.b: Interpret unit rate as the slope of the graph.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

8.EEI.5.c: Compare two different proportional relationships given multiple representations, including tables, graphs, equations, diagrams, and verbal descriptions.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

8.EEI.6.a: Explain why the slope, m, is the same between any two distinct points on a non-vertical line using similar triangles.

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Direct and Inverse Variation

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

8.EEI.6.b: Derive the slope-intercept form (y = mx + b) for a non-vertical line.

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

8.EEI.6.c: Relate equations for proportional relationships (y = kx) with the slope-intercept form (y = mx + b) where b = 0.

8.EEI.7.a: Solve linear equations and inequalities with rational number coefficients that include the use of the distributive property, combining like terms, and variables on both sides.

Modeling and Solving Two-Step Equations

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Solving Two-Step Equations

8.EEI.7.b: Recognize the three types of solutions to linear equations: one solution (x = a), infinitely many solutions (a = a), or no solutions (a = b).

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Two-Step Equations

8.EEI.7.c: Generate linear equations with the three types of solutions.

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Equations by Graphing Each Side

Solving Two-Step Equations

Standard Form of a Line

8.EEI.7.d: Justify why linear equations have a specific type of solution.

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Two-Step Equations

8.EEI.8.a: Graph systems of linear equations and estimate their point of intersection.

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.EEI.8.b: Understand and verify that a solution to a system of linear equations is represented on a graph as the point of intersection of the two 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)

Solving Linear Systems (Standard Form)

8.EEI.8.c: Solve systems of linear equations algebraically, including methods of substitution and elimination, or through inspection.

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.EEI.8.d: Understand that systems of linear equations can have one solution, no solution, or infinitely many solutions.

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.GM.1.a: Verify that lines are mapped to lines, including parallel lines.

Circles

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Similar Figures

Translations

8.GM.1.b: Verify that corresponding angles are congruent.

Congruence in Right Triangles

Reflections

Rotations, Reflections, and Translations

Similar Figures

Translations

8.GM.1.c: Verify that corresponding line segments are congruent.

Rotations, Reflections, and Translations

Translations

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

8.GM.2.a: Rotate geometric figures 90, 180, and 270 degrees, both clockwise and counterclockwise, about the origin.

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

8.GM.2.b: Reflect geometric figures with respect to the x - axis and/or y - axis.

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

8.GM.2.c: Translate geometric figures vertically and/or horizontally.

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

8.GM.2.d: Recognize that two-dimensional figures are only congruent if a series of rigid transformations can be performed to map the pre-image to the image.

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

8.GM.2.e: Given two congruent figures, describe the series of rigid transformations that justifies this congruence.

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

Dilations

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

8.GM.3.a: Use coordinate geometry to describe the effect of transformations on two-dimensional figures.

Dilations

Rock Art (Transformations)

Rotations, Reflections, and Translations

Translations

8.GM.3.b: Relate scale drawings to dilations of geometric figures.

8.GM.4.a: Dilate geometric figures using scale factors that are positive rational numbers.

8.GM.4.b: Recognize that two-dimensional figures are only similar if a series of transformations can be performed to map the pre-image to the image.

Circles

Dilations

Rock Art (Transformations)

Similar Figures

8.GM.4.c: Given two similar figures, describe the series of transformations that justifies this similarity.

Circles

Dilations

Rock Art (Transformations)

Similar Figures

8.GM.4.d: Use proportional reasoning to find the missing side lengths of two similar figures.

Beam to Moon (Ratios and Proportions)

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Polygon Angle Sum

Similar Figures

Similarity in Right Triangles

Triangle Angle Sum

8.GM.5.a: Discover that the sum of the three angles in a triangle is 180 degrees.

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Polygon Angle Sum

Similar Figures

Similarity in Right Triangles

Triangle Angle Sum

8.GM.5.b: Discover and use the relationship between interior and exterior angles of a triangle.

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Polygon Angle Sum

Similar Figures

Similarity in Right Triangles

Triangle Angle Sum

8.GM.5.c: Identify congruent and supplementary pairs of angles when two parallel lines are cut by a transversal.

Isosceles and Equilateral Triangles

Polygon Angle Sum

Similar Figures

Similarity in Right Triangles

Triangle Angle Sum

8.GM.5.d: Recognize that two similar figures have congruent corresponding angles.

Congruence in Right Triangles

Investigating Angle Theorems

Isosceles and Equilateral Triangles

Polygon Angle Sum

Proving Triangles Congruent

Similar Figures

Similarity in Right Triangles

Triangle Angle Sum

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Circles

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Surface and Lateral Areas of Pyramids and Cones

Circles

Distance Formula

Pythagorean Theorem

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

8.DSP.1.a: Collect bivariate data.

Describing Data Using Statistics

8.DSP.1.b: Graph the bivariate data on a scatter plot.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

8.DSP.1.c: Describe patterns observed on a scatter plot, including clustering, outliers, and association (positive, negative, no correlation, linear, nonlinear).

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

8.DSP.3.a: Find an approximate equation for the line of best fit using two appropriate data points.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

8.DSP.3.b: Interpret the slope and intercept.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

8.DSP.3.c: Solve problems using the equation.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

8.DSP.4.a: Organize bivariate categorical data in a two-way table.

8.DSP.4.b: Interpret data in two-way tables using relative frequencies.

8.DSP.4.c: Explore patterns of possible association between the two categorical variables.

8.DSP.5.c: Add and subtract matrices of the same size.

Correlation last revised: 9/16/2020