About This Chapter
Standard: Understand the connections between proportional relationships, lines, and linear equations.
About This Chapter
Students who have mastered this standard are able to graph proportional relationships and interpret unit rates as the slopes of graphs. They are also proficient in comparing proportional relationships represented in various ways.
Lessons in this standard cover concepts such as:
- Tips for finding and applying the slope of a line
- Strategies for determining and using a line's intercepts
- Understanding how to rearrange equations in slope-intercept form
Students demonstrate mastery of this standard when they solve proportional relationship graphing problems. They also are able to explain the concepts of slope and intercepts of lines in classroom discussions. College and career readiness is supported by students' command of this standard because being able to use visual representations of mathematical functions can help them learn and retain information more effectively.
How to Use These Lessons in Your Classroom
Here are some strategies for using these lessons to support instruction in the CCSS.Math.Content.8.EE.B standard:
Writing in Math Lessons
Upon watching a video lesson and successfully completing practice exercises, ask students to write the solutions to several problems in sentence form.
Social Studies in Math Lessons
Display a large map, asking students to locate spots where specified roads or highways intercept. Ask students to compare and contrast this practice to the concept of x- and y- intercepts in mathematics.
Math Equation Lessons
After sharing the lesson pertaining to finding the slope of a line, challenge students to complete additional slope exercises in which they have equations of lines available, as opposed to knowing two points. Ask successful students to share verbally their solutions with the class or small groups.
1. How to Find and Apply The Slope of a Line
In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.
2. How to Find and Apply the Intercepts of a Line
How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.
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Other chapters within the Common Core Math Grade 8 - Expressions & Equations: Standards course