About This Chapter
Standard: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
About This Chapter
Students who have mastered this standard are able to plot points on Cartesian planes. They are also proficient in plotting equations by connecting those points in graphs.
Lessons in this standard include concepts such as:
- Understanding variable, domain and range in relation to functions
- Tips for using vertical line testing
- Strategies for finding ordered pairs
- Tips for plotting points and graphing
Students demonstrate mastery of this standard when making visual representations of points on planes. They find ordered pairs, plot points and connect dots to graph functions. Mastery of this standard supports their college and career readiness because working efficiently with functions helps to build a strong basis for upper level math, such as calculus, and working with mathematics helps students exercise their higher level thinking skills.
How to Use These Lessons in Your Classroom
Here are some tips for how to use these lessons to support instruction in the CCSS.Math.Content.8.F.A.1 standard:
Every Day Math Lesson
After viewing the video pertaining to the basics and key terms of functions, review the example connecting functions to buying gas. Challenge students to brainstorm other examples of how they use functions in their daily lives. As a class, expand some of those examples, citing the variables, domain and range involved in each.
Social Studies Math Connection Lesson
Watch all of these functions video lessons with your students. Then guide them in plotting points on maps, stressing the similarities between that activity and the process of plotting points on Cartesian planes.
Practice Math Lessons
Share the video lesson pertaining to graphing functions by plotting points. Review the lesson's practice problems. Assign additional practice exercises, checking for understanding and determining whether re-teaching is required.
1. Introduction to Functions
Whether you're new to functions or just confused by them, this lesson covers the basic underlying concepts. Simple explanations and references to the real world make it easy to understand.
2. What is a Function: Basics and Key Terms
Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.
3. Functions: Identification, Notation & Practice Problems
A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!
4. Graph Functions by Plotting Points
Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.
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Other chapters within the Common Core Math Grade 8 - Functions: Standards course