Lesson plan

# 7. Analyze behavior of a function to solve problems (A)

teaches Common Core State Standards CCSS.Math.Content.8.F.A.2 http://corestandards.org/Math/Content/8/F/A/2
teaches Common Core State Standards CCSS.Math.Content.8.F.B.5 http://corestandards.org/Math/Content/8/F/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Relate behaviors of a function to a real-world situation.

This lesson provides an opportunity for students to apply their knowledge and understanding of behaviors of a function to a real-life situation. Students are asked to describe the pay rate of a lawn-mowing job, represent a second pay option, and determine which pay plan is better.

Key Concept students will use:

• Graphing input-output pairs helps us describe and model the behavior of a function qualitatively.

Skills students will use:

• Understand behavior of a function given as a graph of the function
• Model the behavior of a function given a description of the function

Students engage in Mathematical Practice 2 (reason abstractly and quantitatively) and Mathematical Practice 4 (model with mathematics) as they examine input-output pairs to understand, describe, and model the behavior of a function.

Key vocabulary:

• constant
• decreasing
• function
• increasing