# 8th Grade Math Tutorials

## The Number System

Real Numbers consist of Rational and Irrational Numbers

Converting Repeating Decimals into Fractions

Use Rational Approximations to compare the size of Irrational Numbers

## Expressions & Equations

Use Properties of Integers with Exponents to generate Equivalent Expressions

Evaluate Square Roots of Perfect Squares and Cube Roots of Perfect Cubes

Use Numbers Expressed as a Single Digit times a Power of Ten to compare their sizes

Perform Multiplication and Division with numbers expressed in Scientific Notaiton

Graph Porportional Relationships and find the Slope or Unit Rate

Compare Two Proportional Relationships use Graphs and Equations

Use Similar Triangles to show that the Slope of a Line between Two Points is the same

Give Examples of Linear Equations with One Solution Infinitely many Solutions and No Solutions

Solve Linear Equations using the Distributive Property

Find the Solution to Two Simultaneous Equations by Graphing Equations

## Function

Understand that a Function is a Rule that assigns exactly One Output to each Input

Compare Two Linear Functions each represented differently.

Interpret y equals mx plus b as defining a Linear Function whose Graph is a Straight Line

Construct a Function to Model a Linear Relationship

Construct a Function to Model a Linear Relationship Example 2

## Geometry

Verify Properties of Transformations using Line Segments

Verify Properties of Transformations using Angles with the Same Measure

Verify Properties of Transformations using Parallel Lines

Understand that a 2-dimensional Figure is Congruent to another if it is obtained by Transformations

Describe the Effect of Dilations and Transformations on 2-dimensional Figures

Show that a 2-dimensional Figure is Proportional through a series of Transformations and Dilations

Use Informal Arguments to establish the Angle Sum of a Triangle

Find the Size of the Exterior Angles through a series of Translations

Show that Alternate Angles created when Parallel Lines are cut by a Transversal are Congruent

Informally show that the Angle-Angle criterion makes Triangles Similar

Explain One Proof of the Pythagorean Theorem

Explain the Proof of the Pythagorean Theorem

Explain the Converse of the Pythagorean Theorem

Apply the Pythagorean Theorem to Solve Problems

Apply the Pythagorean Theorem to Solve Problems on a Coordinate System

Know the Formulas for the Volume of Cones Cylinders and Spheres and Solve Problems

## Statistics & Probability

Construct and Interpret Bivariate Data in Scatter Plots

Describe Positive or Negative Associations as well as Linear or Nonlinear Associations

Informally Fit a Straight Line for Scatter Plots that suggest a Linear Association

Use a Linear Equation to Model a situation and Interpret the Slope and Y-Intercept