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Math Units Page 2017-01-14T17:06:35-05:00

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Lesson Title Analyze Proportional Relationships (Scale Factors)
Unit Title Ratio/Proportion
NRS Level Level 4
Length of Lesson 120 minutes
Lesson Purpose

The purpose of this lesson is to teach students how to use and determine scale factors for models and maps. The students will realize the importance of scale factors and how they are used in daily life. The students will see how map scales are used in order for us to know how far it is to a destination as well as the importance of scale factors used in construction.


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Lesson Objectives

At the end of this lesson, students will be able to:

1) Determine scale factors.

2) Use scale factors to calculate missing side lengths.

3) Use scale factors to increase and decrease the size of proportional objects.

Student Target

I can determine scale factors of proportional objects by comparing corresponding side lengths.

I can use scale factors to calculate missing side lengths.

I can use scale factors to increase and decrease the size of similar figures.

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.

  • Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.

Supporting Standards
  • Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [Also see 7.RP.3]

Standards for Mathematical Practice
  • Model with mathematics. (MP.4)

  • Attend to precision. (MP.6)

  • Look for and express regularity in repeated reasoning. (MP.8)

KYAE Employability Standards
  • E.6 Identify and effectively use skills and materials needed for a particular task.

  • E.7 Accurately analyze information and respond appropriately.

  • E.9 Analyze self-performance to better understand strengths and areas for improvement.