# Point Slope Form Inquiry Lesson

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Common Core Standards
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1 MB|10 - with keys
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Discover how to create an equation from a given slope and point in this activity called “The Value of Toys."

Three exercises are included, each focusing on a different toy and how its value has changed over the years. Students will take given information, answer questions, create their own questions, create an equation, and create a graph. I recommend doing one exercise as a class, and then let students work through the next two exercises in partners.

Last students experiment with point-slope form to create an equation. They should produce the same equations they created in the three exercises.

I like to let students discover their own strategies before I tell them formulas. Point-slope form is a great shortcut, but students should understand the concept of creating an equation from a slope and point instead of just plugging in numbers.

This activity also has a focus on vocabulary, asking students to use the following words in explanations: initial value, rate of change, independent variable, and dependent variable.

Common Core Standards:
CCSS.Math.Content.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.

CCSS.Math.Content.HSF.BF.A.1
Write a function that describes a relationship between two quantities.*

CCSS.Math.Content.HSA.CED.A.2
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Thank you for your interest in this produce from Rise over Run.

Check out these other great graphing resources:
Growing Graphing Bundle
What’s the Equation? (from 2 points)
Total Pages
10 - with keys
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Teaching Duration
1 hour
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