Amplify Desmos Math - 8th Grade

Perform translations, reflections, and rotations on and off a grid.

Describe translations, reflections, and rotations.

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.

Use rigid transformations to discover new angle relationships and determine angle measures.

Analyze the effects of rigid transformations on lines and angles.

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.

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.

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.

Compare and interpret proportional relationships using multiple representations such as equations, tables, and graphs.

Represent non-proportional linear relationships with equations, tables, and graphs.

Interpret the vertical intercept and slope of a linear relationship in context.

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.

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.

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.

Determine whether graphs, tables, or rules represent functions.

Describe situations using terms such as function, input, and output.

Create and compare graphs of functions that represent stories.

Describe graphs of functions that represent situations.

Calculate and compare the volumes of cylinders, cones, and spheres.

Explain the relationship between the volumes of cylinders, cones, and spheres.

Compare different ways to organize numerical data with two variables, including scatter plots.

Compare and contrast various data representations.

Use scatter plots and linear models to identify associations and make predictions.

Interpret and describe features of data presented in a scatter plot.

Use two-way tables and bar graphs to identify associations in categorical data.

Analyze data presented in two-way tables and bar graphs.

Identify and create equivalent expressions involving positive, negative, and zero exponents.

Explain and interpret expressions involving exponents and their properties.

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.

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.

Use the Pythagorean theorem and its converse to reason about right triangles and calculate unknown measurements.

Explain a proof of the Pythagorean theorem and its converse.

Express rational and irrational numbers as fractions and decimal approximations.

Describe what an irrational number is and give an example.