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Dare to Compare: Math Level 2

Using Calculations to Make a Comparison & Come to a Decision

Grades: 6-7

Mathematics

Grades: 6-7

Mathematics

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Description & Features

This collection of 150 problems asks students in Grades 6 and 7 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 the unit price of a single food item, the student computes the unit price of two food items to determine which item is a better deal. Instead of calculating the probability of a single event, the student calculates the probability of two events to determine which is more likely.

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 rates, ratios, fractions, percentages, and proportions. However, they can serve as a backdrop for any mathematical topic–2D and 3D geometry, graphing, algebraic reasoning, patterns, probability, statistics, 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.

Who is running faster? Which shape has a larger area? Which sale is a better deal? Which country has a greater population density? Which food item has more fat calories? Who earns more dollars per hour? Which fraction is larger? Which product has a smaller unit price? Which object has a greater density? Which outcome is more likely? Which competitive eater consumes more calories per minute? Comparisons provide a motivating backdrop to perform mathematical calculations in a wide range of contexts.

Product Details

Item#: 11702BBP
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: 978-1-60144-902-3
Pages: 96, perforated

Awards

Tillywig Brain Child Award, Fall 2017

Product Reviews Write a review for this product

"his 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, Tillywig.com/Books-Magazines/Dare-to-Compare-Math-Level-2