Common Core Math 8

MONTH 3

Graphing & Writing Linear Equations(Ch.4)

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Class Notes

Week 1

M3W1 Math 8 24-25.pdf

Week 2

M3W2 Math 8 24-25.pdf

Week 3

Video Tutorials

Intro to Linear Equations

Graphing Linear Equations with Tables

Graphing Linear Equations with Tables

Graphing Horizontal and Vertical Lines

Finding Slope from a Graph

Review: Finding Slope from a Graph  (note:  You must also learn how to find the slope by using the formula)

Finding Slope from a Table

 Visualize the 4 Types of Slope: Positive (+) , Negative (-) ⤡,  Zero (0) , Undefined  

Example: Finding Slope (m) Using the Formula

Finding Slope (m) Using the Formula (note: always reduce slope fractions to lowest form, but leave them improper - no mixed numbers!)

Slope of a Horizontal or Vertical Line (note:  zero divided by any number is zero. Any number divided by zero is undefined)

Slopes of Parallel & Perpendicular Lines


Graphing on the Coordinate Plane

Graph a Proportional Relationship Given a unit Rate (Slope)

Graph a Proportional Relationship from a Table

Graph a Proportional Relationship from an Equation

Direct Variation vs. Partial (Not Direct) Variation

Example: Writing a Direct Variation Equation (remember that k and m are the same thing. So y=mx and y=kx are the same.)

Use Slope to Compare proportional Relationships

Compare Rates in Proportional Relationships 

Represent and Compare Rates 

Basic Linear Equations/Functions

Graphing a Linear Equation in Slope-Intercept Form 

Slope-Intercept Form and x- & y-Intercepts

Finding x- and y-intercepts (watch up to 5:36)

Interpret the Slope and y-intercept of a Linear Equation

Introduction to Standard Form of Equations

Convert from Standard Form to Slope-Intercept Form  (he says "minus" when he should be saying "negative" or "opposite," but otherwise good)

Solve for y to Convert Standard Equations into Slope-Intercept Form

Graph a Linear Equation in Standard Form by Converting to Slope-Intercept Form

Graph a Linear Equation in Standard Form Using x-and y- intercepts

Identifying Independent (x) and Dependent (y) Variables

Write an Equation in Slope-Intercept Form from a Graph

Writing Equations in Slope-Intercept Form

Using 2 points to find the Linear Equation in Slope-Intercept Form 

Find the Equation of a Line Given 2 Points

Point-Slope Form of Linear Equations

Writing Equations in Point-Slope Form

Additional Resources

Desmos Graphing Calculator

Math 8 Formulas

Common Core State Standards (CCSS)

4.1 Graphing Linear Equations (CCSS 8.EE.5)

4.2 Slope of a Line (CCSS 8.EE.6)

4.3 Graphing Proportional Relationships (CCSS 8.EE.5, 8.EE.6)

4.4 Graphing Linear Relationships in Slope-Intercept Form (CCSS 8.EE.6)

4.5 Graphing Linear Relationships in Standard Form (CCSS 8.EE.6)

4.6 Writing Equations in Slope-Intercept Form (CCSS 8.F.4)

4.7 Writing Equations in Point-Slope Form (CCSS 8.F.4)