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You are here: HomeMake It Real Learning → Fractions, Percents, and Decimals III

46 pages
(10 activities)

# Introduction

The Make It Real Learning Fractions, Percents, and Decimals III workbook focuses on real-world situations that may be effectively analyzed using fractions, percents, and decimals. This book suits best grades 4-7.

From figuring out increases in prices when the sales tax increases to analyzing a slip of a tongue of "3000%", learners get to use basic math skills in meaningful ways. Each activity integrates real world information, companies, and issues (e.g. per mil, sales tax increases, price of gasoline, unit prices), not just "realistic" data.

The workbook includes 10 activities focused on helping learners master the Common Core State Standards for Mathematics (www.corestandards.org). Each workbook activity focuses on making sense of mathematics in a real-world context. Mastering mathematics means more than memorizing procedures. Learners need to discover how to think critically and use mathematics as a tool to better understand the world.

There are multiple ways to use the activities of the book in a teaching environment. The activities are an excellent tool for stimulating mathematical discussions in a small group setting. Due to the challenging nature of each activity, group members are motivated to brainstorm problem solving strategies together. The interesting real world contexts motivate them to want to solve the problems. The activities may also be used for individual projects and class-wide discussions.

As a ready-resource for teachers, the workbook also includes completely worked-out solutions for each activity. To make it easier for teachers to assess student work, the solutions are included on a duplicate copy of each activity.

The PDF for this book is enabled for annotation. This means that if you prefer, your student can fill it in on the computer, using the typewriter and drawing tools in Acrobat Reader version 9 or greater.

## Fractions, Percents, and Decimals III Activity List

Activity TitleMathematical Objectives
Election Results:
Converting Percents to Fractions
Write percentages as simplified fractions.
Interpret these fractions as ratios, relating them to the context.
Percent and Per Mil:
Working with Percent and Per Mil
Explain what different percent and per mil amounts mean in various contexts. Express per mil amounts as percentages.
What is a Fraction?
Working with the Meaning of Fraction
Explain a meaning of a fraction in a real-world context, such as 3/4 cup of brown sugar or 1/8 of a dollar.
3000%?
Working with Percent
3000% drop in healthcare premiums was a slip of the tongue. What would it really mean? What is the reality?
Proposed Tax Increase #1:
Working with Sales Tax
How much does an increase in sales tax actually increase the prices? Compare prices given two different sales taxes. Percent increase of the sales tax versus percent point increase of the sales tax.
Proposed Tax Increase #2:
Working with Sales Tax
How much does an increase in sales tax actually increase the prices? Compare prices given two different sales taxes. Percent increase of the sales tax versus percent point increase of the sales tax.
How Much Information?
Working with Decimals and Percent
Calculating percentages of a total. Calculating and using percent increase.
The Price of Gasoline:
Working with Gas Prices
Analyzing how much of the price of gasoline comes from different sources, such as taxes or the price of crude oil. Using tenth of a cent.
Shopping for Bargains:
Working with Money
Calculating sales prices.
Calculating discount percentages.
Calculating a price before a discount.
Comparing Prices:
Working with Unit Cost
Calculating unit prices.
Using currency exchange rates.
Measurement conversions (gallons, ounces, liters)

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