Lesson 2

Variables in Proportion

Est. Class Sessions: 2–3
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Mathematical Standards

5.OA.B
Analyze patterns and relationships. (5.OA.B.3)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students investigate the concept of proportion as it applies to variables in experiments. Students use strategies for finding equivalent ratios and proportions to solve problems.

Content in this Lesson

  • Representing the relationship between variables as a ratio [E2].
  • Using ratios and proportions to solve problems [E4].
  • Making point graphs and drawing best-fit lines to represent ratios and proportional relationships [E11].
  • Using patterns in tables and line graphs to make predictions and solve problems [E12].
  • Translating between different representations of ratios (graphic and symbolic).
  • Determining whether variables are in proportion.
  • Expressing a multiplicative relationship between variables in proportion.
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide

Teacher Resources

 Teacher Guide - digital

Supplies for Student Pairs

  • calculator
  • colored pencils, optional

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed

Variables in Proportion
Check-In: Questions 17–21
Student Guide
Page 535
with corresponding Feedback Box
Teacher Guide - digital
E2.
Represent the relationship between variables as a ratio.
E4.
Use ratios and proportions to solve problems.
E12.
Use patterns in tables and line graphs to make predictions and solve problems.