Topics
4. Proportional Relationships & Lines
topic badge
United States of America
Grade 8

Topic Review: Proportional relationships and lines

Lesson
Practice

Introduction

We've just finished the chapter on Proportional relationships and Lines. Let's do a review to ensure we have mastered each topic.

Proportional relationships and Lines

In this chapter we covered the following topics:

  •  Unit rate and slope 
  •  Proportional relationships in the coordinate plane 
  •  Compare proportional relationships 
  •  Identify slope and describe lines 
  •  Identify the y-intercept 
  •  Graph lines 
  •  Descriptions, tables, equations, and graphs 
  •  Problem solving with tables, equations and graphs 

Outcomes

8.EE.B.5

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

8.EE.B.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

8.F.A.3

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g. Where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

What is Mathspace

About Mathspace