Linear functions &amp; transformations

Analyze angle relationships from parallel lines

I can use angle relationships formed by parallel lines and a transversal to decide whether angles are equal or supplementary and solve for unknown measures.

Analyze equations with one, none, or infinitely many solutions

I can simplify both sides of a linear equation and decide whether it has one solution, no solution, or infinitely many solutions.

Analyze nonlinear functions qualitatively

I can describe how a nonlinear function changes by reading its graph or table and comparing it with linear change.

MathematicsNot startedFREE

Apply integer exponent properties

I can apply integer exponent properties to simplify expressions with like bases and evaluate the result.

Apply the converse of the Pythagorean Theorem

I can use side lengths to decide whether a triangle is a right triangle by checking the converse of the Pythagorean Theorem.

Fractions & ratiosNot started🔒 Subscription required

Approximate irrational numbers

I can approximate irrational numbers by using nearby perfect squares and place the values in the correct location on a number line.

Choose methods for systems and equations

I can choose an efficient method for a system or equation and explain why that method fits the structure of the problem.

Compare functions represented in different ways

I can compare two functions shown as tables, graphs, equations, or verbal descriptions and decide which has the greater rate of change or initial value.

Complete a Grade 8 modeling investigation

I can complete a full modeling investigation by choosing representations, testing assumptions, and defending a recommendation with Grade 8 mathematics.

Data & graphsNot startedFREE

Construct and interpret scatterplots

I can construct a scatterplot from paired data and describe the pattern shown by the points.

Convert and interpret scientific notation

I can convert between standard decimal notation and scientific notation and explain what the exponent tells me about the size of the number.

Describe patterns of association

I can describe whether a scatterplot shows a positive association, a negative association, or no clear association, and I can mention clusters or outliers when they matter.

Dilate figures

I can dilate a figure from a center by a given scale factor and explain how the image coordinates and side lengths change.

Explore and explain the Pythagorean Theorem

I can use square-area models to explain why the Pythagorean Theorem works for right triangles.

Find distance in the coordinate plane

I can find the distance between two points in the coordinate plane by building a right triangle and using the Pythagorean Theorem.

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Find missing side lengths

I can use the Pythagorean Theorem to find a missing side length in a right triangle.

Find volume of cones

I can find the volume of a cone by using V = 1/3 Bh and by relating the cone to a cylinder with the same base and height.

Find volume of cylinders

I can find the volume of a cylinder by multiplying the area of the circular base by the height.

Find volume of spheres

I can find the volume of a sphere by using V = 4/3 pi r^3 and by identifying the radius correctly.

Fit and interpret informal trend lines

I can fit an informal trend line to a scatterplot, describe the association it represents, and use it to make a reasonable estimate in context.

Identify and verify solutions to systems of equations

I can identify the ordered pair that makes two linear equations true at the same time and explain what that shared solution means.

Interpret rate of change and initial value

I can interpret the rate of change and initial value of a linear function in tables, graphs, equations, and real-world contexts.

Interpret systems in context

I can interpret the solution to a system of linear equations in a real-world context and compare what happens before and after the intersection.

Interpret two-way tables

I can read a two-way table, compare conditional frequencies, and draw a justified conclusion from the data.

Model linear relationships

I can model a linear relationship with a table, graph, equation, and context sentence.

Perform operations with scientific notation

I can multiply and divide quantities in scientific notation and rewrite results in proper scientific notation.

OperationsNot startedFREE

Represent and interpret linear functions

I can represent a linear function with a table, graph, and equation and explain what the slope and y-intercept mean.

Solve and graph linear inequalities

I can solve one-variable linear inequalities and graph the full solution set on a number line.

Solve composite volume problems

I can break a composite solid into simpler parts, find each part volume, and combine the parts correctly by adding or subtracting.

Solve equations with variables on both sides

I can collect variable terms on one side, constants on the other side, and solve a linear equation that has variables on both sides.

Solve linear equations in one variable

I can solve multi-step linear equations in one variable and check each solution in the original equation.

Solve systems by elimination

I can add or subtract equations to eliminate one variable, solve for the other variable, and finish the ordered-pair solution.

Data & graphsNot started🔒 Subscription required

Solve systems by graphing

I can graph both lines in a system, find the intersection, and explain why that ordered pair makes both equations true.

Solve systems by substitution

I can replace one variable with an equal expression, solve the new one-variable equation, and write the solution as an ordered pair.

Translate, rotate, and reflect figures

I can translate, rotate, and reflect figures on the coordinate plane and track how every point changes.

Understand functions as input-output rules

I can decide whether a relation is a function and use a rule to find outputs from inputs.

Use scientific notation

I can write very large and very small numbers in scientific notation and return scientific-notation numbers to standard form.

Use square and cube roots

I can use square roots and cube roots to solve problems about side lengths, areas, and volumes.

Use the Pythagorean Theorem

I can explain the Pythagorean Theorem with a model and use it to find a missing side length in a right triangle.

Use transformations to establish congruence

I can use rigid motions to show that two figures are congruent and explain why no resizing is needed.

Use transformations to establish similarity

I can use dilations and rigid motions to show that two figures are similar and explain the scale factor.

GeometryNot startedFREE

Use transformations to explain congruence

I can use rigid motions to explain when figures are congruent and use coordinate rules to describe images on the plane.

Write linear functions

I can write a linear function from a table, graph, or verbal description.