Sub Unit 1: Rigid Transformations
Perform translations, reflections, and rotations on and off a grid.
Describe translations, reflections, and rotations.
Sub Unit 2: Congruence
Determine whether two figures are congruent using rigid transformations.
Justify whether two figures are congruent using language such as rigid transformations, translation, reflection, rotation, pre-image, and image.
Describe the characteristics of congruent figures using vocabulary from this unit.
Sub Unit 3: Angle Relationships
Use rigid transformations to discover new angle relationships and determine angle measures.
Analyze the effects of rigid transformations on lines and angles.
Sub Unit 1: Dilations
Dilate figures on and off a coordinate grid.
Identify the scale factor and the center of dilation.
Describe dilations precisely using terms such as pre-image, center of dilation, and scale factor.
Sub Unit 2: Similarity
Use transformations to determine whether two figures are similar.
Justify whether two figures are similar using terms such as translation, reflection, rotation, dilation, pre-image, and image.
Sub Unit 3: Slope
Make connections between the slope of a line and similar triangles created by that line.
Determine the slopes of lines.
Explain how to calculate the slope of a line using vocabulary from this unit.
Sub Unit 1: Proportionality Revisited
Compare and interpret proportional relationships using multiple representations such as equations, tables, and graphs.
Sub Unit 2: Linear Relationships
Represent non-proportional linear relationships with equations, tables, and graphs.
Interpret the vertical intercept and slope of a linear relationship in context.
Sub Unit 3: Linear Equations and Points
Write an equation for a linear relationship given two points.
Make connections between graphs and solutions of two-variable linear equations.
Analyze strategies for calculating the slope and vertical intercept of a line through two points.
Sub Unit 1: Solving Linear Equations
Write and solve equations with variables on both sides of the equal sign.
Determine the number of solutions to a linear equation.
Analyze strategies for solving linear equations in one variable.
Sub Unit 2: Systems of Linear Equations
Solve systems of linear equations in two variables graphically and algebraically.
Interpret the intersection point of two linear relationships in context given their graphs or equations.
Describe strategies for solving systems of linear equations.
Sub Unit 1: Introduction to Functions
Determine whether graphs, tables, or rules represent functions.
Describe situations using terms such as function, input, and output.
Sub Unit 2: Representing and Interpreting Functions
Create and compare graphs of functions that represent stories.
Describe graphs of functions that represent situations.
Sub Unit 3: Volume
Calculate and compare the volumes of cylinders, cones, and spheres.
Explain the relationship between the volume of cylinders, cones, and spheres.
Sub Unit 1: Organizing Numerical Data
Compare different ways to organize numerical data with two variables, including scatter plots.
Compare and contrast various data representations.
Sub Unit 2: Analyzing Numerical Data
Use scatter plots and linear models to identify associations and make predictions.
Interpret and describe features of data presented in a scatter plot.
Sub Unit 3: Categorical Data
Use two-way tables and bar graphs to identify associations in categorical data.
Analyze data presented in two-way tables and bar graphs.
Sub Unit 1: Exponent Properties
Identify and create equivalent expressions involving positive, negative, and zero exponents.
Explain and interpret expressions involving exponents and their properties.
Sub Unit 2: Scientific Notation
Express and perform operations with very large or very small quantities using powers of 10 and scientific notation.
Explain and interpret the meaning of numbers and operations using powers of 10 and scientific notation.
Sub Unit 1: Square Roots and Cube Roots
Approximate the value of square roots and cube roots.
Describe the relationship between a square's side length and area using the term square root, and the relationship between a cube's edge length and volume using the term cube root.
Sub Unit 2: The Pythagorean Theorem
Use the Pythagorean theorem and its converse to reason about right triangles and calculate unknown measures.
Explain a proof of the Pythagorean theorem and its converse.
Sub Unit 3: Rational and Irrational Numbers
Express rational and irrational numbers as fractions and decimal approximations.
Describe what an irrational number is and give an example.