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# 6.2: Exploring Linear Equations

Difficulty Level: At Grade Created by: CK-12

This activity is intended to supplement Algebra I, Chapter 5, Lesson 5.

ID: 8189

Time required: 30 minutes

Topic: Functions & Relations

• Graph a set of ordered pairs as a scatter plot.
• Given two points on a line, calculate the slope and write the equation of the line.

## Activity Overview

In this activity we will

• Enter “life expectancy” data into lists and set up scatter plots.
• Trace the scatter plot to select two points. Use the points to calculate slope and write a linear equation.
• Use the Transformation Graphing APP to fit the data using a linear equation in slope-intercept form and analyze the meaning of the slope and the intercept in relationship to birth year and life expectancy.

Teacher Preparation

This activity is designed to be used in a middle school or high school Algebra 1 classroom.

• Students should already be familiar with the meaning of slope and how to find the slope of a line given two points on the line (the ratio: difference of y\begin{align*}y-\end{align*}values and difference of x\begin{align*}x-\end{align*}values).

Classroom Management

• This activity is intended to be mainly teacher-led, with breaks for individual student work. Use the Student Worksheet to present the material to the class and encourage discussion. Students will follow along using their graphing calculators.
• The student worksheet is intended to guide students through the main ideas of the activity. It also serves as a place for students to record their answers. Alternatively, you may wish to have the class record their answers on separate sheets of paper, or just use the questions posed to engage a class discussion.

Associated Materials

See the student worksheet on specific directions on how to complete this activity.

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