Common Core Math 8
MONTH 3
Graphing & Writing Linear Equations(Ch.4)
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Class Notes
Week 1
Week 2
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
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)