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MathWise Fractions Book 1 with Answer Key
SKU
068401
ISBN
9781945718007
Grade 3-6
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Traditional
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Charlotte Mason
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Classical
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Unit Study
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Curriculum progresses through well-defined learning objectives. Emphasizes mastery before moving to the next topic.
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Everything you need is included.
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Description
Publisher's Description of MathWise Fractions Book 1 with Answer Key
Book 1 offers students an introduction to fractions with foundational concepts that build as students grow in their understanding.
Numerators and Denominators Relating to Two Separate Operations
An essential key to understanding fractions is to view them as two-step problems: the bottom (denominator) of a fraction has the idea of division, while the top of a fraction (numerator) has the idea of multiplication. It is much easier for students to comprehend what is going on if they see fractions having two easy components, rather than a more complex single entity.
This can be initially taught with fraction circles or rectangles. When a shape is cut up into parts, this represents the division of the denominator (it may help students to remember both "d" words: denominator and division). When some of the equal-sized parts are shaded, this represents the multiplication of the numerator.
This two-part aspect of fractions is easily reinforced by having students do basic problems like 2/3 of 12 (12 divided by 3 and then the quotient multiplied by 2). Practice with these kinds of problems helps students with understanding the workings of fractions. The closer the numerators and denominators are, the more the fraction approximates one whole. The larger the denominator, in relation to the numerator, the more the fraction reduces the size of any number multiplying it - and visa versa.
It usually takes students a while to fully comprehend that the denominator of a fraction has the idea of division. Sometimes when they see other expressions in denominators they forget that fractions are just another way to write division problems.
The MathWise fraction books emphasize the mathematical reasoning behind fraction operations. This foundation will serve students well when they move up into higher math classes requiring the use of fractions.
Note:
A key skill for students to master is being able to convert numbers from fractions to decimals to percents. I tell students that numbers wear three costumes: the fraction costume, the decimal costume, and the percent costume. Even if the costumes change, the actor or actress is the same - he or she is just wearing a different outfit!
Category Description for Mathwise Books With Answer Keys (Gr. 3-6)
Sometimes a little more practice is all that is needed to hone specific math skills. This series offers just that: topical practice, review, and extra practice. Peter Wise is a math teacher and author of this series that takes a fresh approach to helping students understand. The basics are intended for any grade level that might include them and are explained in a comic-style format. The books vary in length and are divided into one and two-page topical practices. Special features include tips and tricks (memory aids), speech bubbles with teaching insights, step-by-step procedures, simplified terminology to introduce concepts, and occasional concept quizzes. Each book goes from simple to more complex explanations and challenge problems are included to stretch students. Every topic includes explanations, samples, practice, and answer keys (not solutions) are found at the back of the book. There is plenty of room for students to work right in the book, and these are reproducible for a single classroom or family. This series is affordable, practical, and a great option for students struggling with specific concepts, needing more practice, or getting a jumpstart on new concepts. ~ Donna
Details
| Product Format: | Paperback |
|---|---|
| Brand: | Peter Wise |
| Author: | Peter Wise |
| Grades: | 3-6 |
| ISBN: | 9781945718007 |
| Length in Inches: | 11 |
| Width in Inches: | 8.5 |
| Height in Inches: | 0.25 |
| Weight in Pounds: | 0.5 |
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