Quantile Resource Overview

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1 Quantile Resource Overview Resource Title: Finding the Least Common Denominator Quantile Skill and Concept: Compare and order fractions using renaming strategies (QSC1) Find multiples, common multiples, and the least common multiple numbers; explain. (QSC1) Quantile Measure: 10Q Excerpted from: The Math Learning Center PO Box 199, Salem, Oregon Math Learning Center For access to other free resources, visit The Quantile Framework for Mathematics, developed by educational measurement and research organization MetaMetrics, comprises more than 00 Quantile Skills and Concepts taught from kindergarten through high school. The Quantile Framework depicts the developmental nature of mathematics and the connections between mathematics content. By matching a student's Quantile measure with the Quantile measure of a mathematical skill or concept, you can determine if the student is ready to learn that skill, needs reinforcement in supporting concepts first, or whether enrichment would be appropriate. For more information and to use free Quantile utilities, visit Park Forty Plaza Drive, Suite 10, Durham, North Carolina 13 METAMETRICS, the METAMETRICS logo and tagline, QUANTILE, QUANTILE FRAMEWORK and the QUANTILE logo are trademarks of MetaMetrics, Inc., and are registered in the United States and abroad. The names of other companies and products mentioned herein may be the trademarks of their respective owners.

2 Set A6 Numbers & Operations: Fraction Concepts Blackline Use anytime after Set A6, Activity. Run a class set. name date Set A6 H Independent Worksheet Independent Worksheet Finding the Least Common Denominator Which is greater, 3 or? Exactly how much difference is there between these two fractions? If you want to compare, add, or subtract two fractions, it is easier if you rewrite them so they both have the same denominator. To do this: Find the least common multiple of the denominators of the fractions. multiples of 3 3, 6, 9, 1, 1 multiples of, 10, 1 The least common multiple of 3 and is 1. Multiply the numerator and denominator of each fraction by the same number so the denominators are equal is greater than by exactly Find the least common multiple (LCM) of each pair of numbers. ex. and 10, 8, 1, 16, 0 10, 0 0 is the LCM of and 10 a and 6 b and Circle the fraction you think is greater in each pair. Then find out for sure by rewriting the fractions so they have common denominators. Hint: Use the information from problem 1 to help. Put a star by the fraction that turns out to be greater. ex. 3 3 x x 1 0 x 10 x a 6 b 1 The Math Learning Center (Continued on back.) Bridges in Mathematics Grade Supplement A6.1

3 Set A6 Numbers & Operations: Fraction Concepts Blackline Run a class set. Independent Worksheet Finding the Least Common Denominator (cont.) 3 Find the least common multiple (LCM) of each pair of numbers. a and 10 b 6 and 9 c and Circle the fraction you think is greater in each pair. Then find out for sure by rewriting the fractions so they have common denominators. Hint: Use the information from problem 3 to help. Put a star by the fraction that turns out to be greater. a 3 10 b 6 9 c Erica swam 6 8 of a mile on Monday. She swam 10 1 of a mile on Tuesday. Did she swim farther on Monday or Tuesday. Exactly how much farther? Use numbers, words, and/or labeled sketches to solve this problem. Show all your work. Erica swam exactly of a mile farther on. A6. Bridges in Mathematics Grade Supplement The Math Learning Center

4 (Key), 10, 1, 0,, 30, 3 6, 1, 18,, is the LCM of and 6,, 6, 8, 10, 1, 1, 1, 1 1 is the LCM of and > > 1 1

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The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center

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