# Ch 4: Model Linear Relationships: CCSS.Math.Content.8.F.B.4

Share video lessons with your students to reinforce your linear relationships modeling instruction. Use the quizzes that follow each lesson to augment learning.

Standard: 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.

Students who have mastered this standard are proficient in combining two or more functions. Students understand they may substitute variables, numbers or other functions.

Lessons in this standard cover concepts such as:

• Understanding basics of function notation
• Tips for composing functions
• Strategies for various ways to graph linear equations
• Understanding rate of change and initial values of functions

Students demonstrate mastery of this standard when composing functions by beginning with the outside function. They are also proficient in evaluating the composition of functions at specific values. Mastery of this standard supports their college and career readiness because being able to model linear relationships is an important foundational skill for upper level math. In addition, working with mathematics encourages students' higher level thinking skills.

### How to Use These Lessons in Your Classroom

#### Pretest/Posttest Composing Functions Lesson

Ask students to complete the quiz in the How to Compose Functions lesson before viewing the video, as a way to check for prior understanding. Then share and discuss the video lesson. Ask students to complete the quiz for a second time, comparing their results to the pretest.

#### Initial Value Lesson

Share the video lessons concerned with determining the initial value of a function. Review math vocabulary, including initial condition, constant of integration, derivative, integral and antiderivative. Work through additional problem examples, and then assign a set of practice exercises to check for student understanding.

#### Rate of Change Lesson

Watch the video lessons pertaining to rate of change with your class. Review the problem examples. Assign an exercise to each student, asking individuals to teach their solutions to a small group after successful completion of the problems.

6 Lessons in Chapter 4: Model Linear Relationships: CCSS.Math.Content.8.F.B.4
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.