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Math Lesson View 2018-01-16T18:34:28-05:00

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Lesson Title Using Proportions to Solve Direct and Inverse Variation
Unit Title
NRS Level Level 4
Length of Lesson 90 minutes
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Lesson Purpose

The lesson will use proportions to help solve applications involving direct and inverse variation.  Also, students will continue to build their knowledge of different measurement abbreviations.  These skills can be very important in technology and health fields.  The lesson will expose students to scenarios that can really be applied in these fields.
Related Documents
Warm-up-Proportions.pdf Definitions-and-Examples-of-Direct-and-Inverse-Variation-1.pdf Modeling-Examples-of-Direct-and-Inverse-Variation-1.pdf Practice-Direct-Variation-1.pdf Inverse-Variation-Practice-1.pdf Mixed-Practice-Direct-Inverse-Variation-1.pdf Answers-for-Direct-Variation-Worksheet-1.pdf Answers-for-Inverse-Variation-1.pdf Answers-to-Mixed-Practice-of-Direct-and-Inverse-Variation-1.pdf Solutions-to-Direct-Variation-1.pdf Solutions-to-Inverse-Variation-1.pdf Solutions-to-the-Mixed-Practice-1.pdf
Lesson Objectives

At the end of this lesson, students will be able to solve a direct or inverse variation problem using a proportion and choose and assign the appropriate units.
Student Target

I can determine whether the application is a direct variation or inverse variation problem, and set-up and solve the application using a proportion.
CCR Focus Standards
Number and Ratios - Level D

  • Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

  • Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

Algebra and Functions - Level D

  • Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Supporting Standards

  • Apply properties of operations as strategies to multiply and divide rational numbers.

  • Solve real-world and mathematical problems involving the four operations with rational numbers.
Standards for Mathematical Practice

  • Make sense of problems and persevere in solving them. (MP.1)

  • Model with mathematics. (MP.4)

  • Attend to precision. (MP.6)

KYAE Employability Standards

  • E.7 Accurately analyze information and respond appropriately.

  • E.8 Interact with others in a professional manner.
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