# Unit 3 Problem Solving with Units (High-school Quantitative Reasoning)

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Chapter 3 Problem Solving with Units

In this No Prep Math unit, high school students will review basic unit conversion and dimensional analysis and solve challenging real-world and mathematical problems using estimation and dimensional analysis techniques. High-school students at all levels will be challenged by problems in this unit.

Most lessons are intended to take one 45-minute class period for notes, however you may decide to go faster or slower depending on the needs of your students. The notes include a brief review of basic unit conversion followed by more challenging multistep modeling problems. Homework assignments tend to include a brief review of skills and one or two challenging problems for a total of 8 to 10 problems. If your students are not familiar with unit conversion, then you may need to supplement with other resources containing more skills practice. One activity, an optional project, two quizzes, a chapter test, suggestions for additional activities, and answer keys for the notes, assignments, and assessments are included in the full unit.

Duration 12 – 15 days

Contents (See the Preview for details about each lesson and sample pages.)

3.1 Dimensional Analysis & Time
3.2 Length
3.3 Capacity (Volume) and Weight
Quiz
3.4 Applications of Area & Volume Measurements
3.5 Rates
3.6 Temperature and Currency Conversions
Quiz
3.7 Modeling Problems

Optional Project
Chapter Test

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This is Unit 3 of the first semester of my high-school Quantitative Reasoning – Math in Context course.

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Course Contents – Semester 1

High School Quantitative Reasoning - Semester 1
1. Understanding Numbers (13 - 16 days)
2. Voting and Apportionment (7 - 10 days)
3. Problem Solving with Units (12 - 15 days)
4. The Mathematics of Personal Finance – an Introduction (15 - 21 days)
5. Linear and Exponential Models (12 - 20 days)
Total Pages
80 pages
Included
Teaching Duration
3 Weeks
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