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Dare to Compare Math: Level 2

Using Calculations to Make a Comparison & Come to a Decision

Grades: 6-7


Grades: 6-7


  •  Multiple Award Winner
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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 Math 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


The Old Schoolhouse Magazine - Homeschool Blue Ribbon Award for Favorite Middle School Product Tillywig Brain Child Award, Fall 2017

Product Reviews Write a review for this product

"How many times have you been asked when your child will use math in the real world? One of Jahnna’s favorite things to say is “Whelp, I didn’t use any algebra today. See I don’t need to learn it.” It might be true that the majority of people don’t walk around solving quadratic equations on a daily basis but we do use critical thinking skills without even realizing it. Dare to Compare uses simple, grade-appropriate math problems to teach students to go from single step math problems to two or more steps that occur often in daily life. Let’s look at one example that is something I was trying to figure out recently. Question 35 asks which trip takes less time? There is a train that travels 500 miles at an average speed of 90 mph and there is a car that travels 320 miles with an average speed of 60 mph. In a traditional math book, this would be two separate questions. In Dare to Compare they are asked to determine which one would take less time, requiring the knowledge of two questions combined into one. Dare to Compare is filled with similar types of problems. I love The Critical Thinking Co. I have found their prices, quality and depth of product to be some of the very best among curriculum providers. " - Erin, California
"Dare to Compare Math has been another home run for our family! The problems at this level are multi-step, encouraging students to work their way through problems that they will be facing in common situations in their life. These include price comparisons and measuring skills. There is an explanation for each problem in the book. So if your student (or you) is struggling to understand on how to complete a problem, you have the information right in front of you to help your student get through. My son stuggles with super complicated algebra problems due to his learning disabilities. So the idea of using this math book with him to work through more common problems that he needs to tackle in real life was enticing to me. Having just a couple problems a day to tackle (about 15 minutes per day) was a good balance for him. The book definitely helped me to see areas where he needs to work and the cracks in his foundation math skills. The activities are definitely multi-step and require serious thinking. Your student will really need to dig into their critical thinking brain to solve them. " - Renita Kuehner,
"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,