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Dare to Compare: Math Level 1

Using Calculations to Make a Comparison & Come to a Decision

Grades: 4-5


Grades: 4-5


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Description & Features

This collection of 150 problems asks students in Grades 4 and 5 to perform calculations to make a comparison and come to a decision. The Dare to Compare format recasts more traditional math problems from a single calculation to two or more calculations to come to a final conclusion. Rather than compute a single sale price, the student computes two sale prices to determine which sale is a better deal. Instead of calculating the number of fat calories in a single food item, the student calculates the number of fat calories in two separate food items to determine which has the least amount of fat calories.

The problems are intended to be non-routine but accessible. The solution process is open-ended, allowing students to create mathematical reasoning and to decide how to quantify in order to formulate a conclusion. Comparisons are especially suited for problems involving fractions, rates, ratios, and proportional thinking. However, they can serve as a backdrop for any mathematical topic – geometry, graphing, patterns, elementary algebraic reasoning, probability, counting, measurement, number operations, and logic. So the comparisons are rich in both mathematical content and critical thinking. Each problem is accompanied by one or more hints and a complete solution.

Which fence is longer? Whose heart beats faster? Which food is less expensive? Who travels the furthest? Which collection of coins is worth more? Which shape has a larger area? Which sale is a better deal? Which fraction is larger? Which jar holds more water when full? Which food has less fat calories? Who makes the greater profit? Which event lasted longer? Comparisons provide a motivating backdrop to perform mathematical calculations in a wide range of contexts.

Product Details

Item#: 11701BBP
Author(s): Darin Beigie
TOC: View Table Of Contents
Type: Student Book
Media: Paperback Book
License: Reproducible
ISBN–10: 1-60144-902-X
ISBN–13: 978-1-60144-901-6
Pages: 96, perforated


Tillywig Brain Child Award, Fall 2017

Product Reviews Write a review for this product

"This collection of 150 problems asks students to perform calculations to make a comparison and come to a decision. While the calculation-based comparison format is consistent throughout, the wide-ranging problems incorporate a variety of math concepts including ratios, fractions, percentages, proportions, 2D and 3D geometry, graphing, algebraic reasoning, patterns, probability, statistics and more. The process of analyzing and solving these problems is not only an exploration of mathematical methods, it helps establish and reinforce an approach to critical thinking that is easily transferable and can prove extremely useful in day to day life. Which seemingly comparable pricing is the better deal? What is the fastest route to a given destination? More broadly, how can one apply reasoning and basic math to make optimal life decisions? This book helps students develop the tools and mindset with which to make such assessments with confidence and ease. Each problem is accompanied by one or more hints and a complete solution." - Tillywig Award Winner 2017 Product Review,