# Capacity (Volume) & Weight Conversions (High-school Quantitative Reasoning)

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3.3 Capacity (Volume) and Weight Conversions

In this No Prep Math lesson, high-school students use dimensional analysis techniques to solve problems involving U.S. and Metric measures of capacity and weight. The basic skills and metric equivalents are briefly reviewed, and more challenging problems are presented. The notes and assignment include basic skills problems, identifying equivalent U.S. and Metric amounts, calculating drug dosage, and a challenging modeling problem that could be used as an activity.

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This is lesson 3 of my "Problem Solving with Units" lesson bundle for high-school quantitative reasoning.

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 Full Unit 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 (10 - 13 days)
4. The Mathematics of Personal Finance – an Introduction (15 - 21 days)
5. Linear and Exponential Models (12 - 20 days)

Total Pages
11 pages
Included
Teaching Duration
45 minutes
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