Chapter 3: Linear Relations

A linear relation is a relation between two variables that appears as a straight line when graphed.

Chapter 3 Outline

3.1 Slope as a Rate of Change (Day 1 and 2)
Relearn the basics of linear relations.  Should be review of grade 9!
HO: Flip BookTable of Values and GraphingSlopes Away
Lesson Reference: Sketched Out LessonSlope From a Graph
Alternative Practice:Worksheet
Text Solutions: Table of Values and GraphingReview Question (P 99 # 6, 7bcd), 3.1 Slope as a Rate of Change (P 106 # 1, 2a, 4, 7), Slopes Away (# 1 - 4)

3.2 Investigate Slope and y-Intercept Using Technology
Investigate slope and the y intercept and how they relate to y = mx + b.
Lesson Reference: Guided QuestionsGrapherFormula Based "Lesson"
Alternative Practice:
Text Solutions: 3.2 Slope and the Y Intercept

3.3 Properties of Slopes of Lines
Learn how numbers change if the slope is positive, negative, zero or undefined.
HO:
Lesson Reference: Graphs of SlopesVideo and QuizBeware the Slope Tree!Parallel / Perpendicular from y=mx + b
Alternative Practice:
Text Solutions: 3.3 Properties of Slopes and Lines

3.4 Determine the Equation of a Line
Tie slope and the y intercept together to make your own linear equations
HO: Determining the Equations of Lines
Lesson Reference: Y = mx + b GrapherEquation from a TableEquation from 2 PointsEquation from a Point and Slope
Alternative Practice:
Text Solutions: Day 1: Making Equations, 1 Point Equations, Day 2: Slopes Away2 Point Equations

3.5 Graph Linear Relations by Hand
Learn quick tricks to make graphing easy
HO: Rising and Running from a Point
Lesson Reference: Graph from y = mx + b
Alternative Practice:
Text Solutions: Rising and Running from a Point

Graphing from Standard Form
Learn to identify linear relations in standard form and how to graph them
HO: Y the X Are You Intercepting Me?
Lesson Reference: LessonIntercepts from y = mx + bIntercepts from Standard Form
Alternative Practice:
Handout Solutions: Y and X and Writing Equations

Modelling Problems Algebraically
Make word problems into algebra questions, and solve
Lesson Reference: Good Lesson, LongBreaking down Word Problems (longish)Words to Symbols
Alternative Practice:
Handout Solutions: Modelling Problems Algebraically

Chapter Review
Time to prepare for the test
Remember to make a cheat sheet!
Text Solutions: Ch 3 Review

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