Learning Gym: Intermediate Math: Multiplying and Dividing Fractions

Intermediate Math: Multiplying and Dividing Fractions

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Introduction       Concept/Skill Sample Learn Zillion Khan Academy Breakthrough to Math, Level 2, Book 3 Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work What does it mean to mulitply and divide fractions? Fractions are only parts of a whole.  That means that multiplying fractions is repeating a part a partial number of times.  Dividing fractions means you are trying to figure out how many times one part will fit into another one. 1/2 x 3/4 = 3/8 means that you are finding half of 3/4 Multiply by fractions: using repeated addition Intro to multiplying 2 fractions 6 Multiply fractions by fractions: finding a part of a part Multiplying 2 fractions: fraction model Multiply fractions by fractions: using a sequence of operations Understanding division of fractions Use models for division of fractions by fractions

Problem Solving       Concept/Skill Sample Learn Zillion Khan Academy Breakthrough to Math, Level 2, Book 3 Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work Multiplication word problems with fractions If you can make 1/3 of a set of kitchen cabinets in a day, what fraction of the cabinets will you finish if you only work 1/2 of the day? Answer: 1/6 Multiply fractions by fractions using an algorithm Multiplying fractions word problems: muffins 6-7 45-46 (1-4, 9, 11, 16) 41-43: Exercises 1-3 Multiplying fractions word problems: laundry Multiplying fractions word problems: bike Multistep word problems with fractions You're making dinner for 2 people, but the recipe you're using is for 4 people. If the recipe calls for 3/4 cup of flour, how much flour should you use? 16-18 45-46 (5-8, 10, 11-15) 43-46: Exercises 5-6 Division word problems with fractions If you have 3 pounds of chocolate that you want to divide up into bags that each weigh 1/3 of a pound, how many pags will you be able to make? Divide Mixed numbers by fractions: using models Dividing whole numbers & fractions: t-shirts Dividing whole numbers by fractions: word problem Dividing fractions by whole numbers: studying

Calculations       Concept/Skill Sample Learn Zillion Khan Academy

Breakthrough to Math, Level 2, Book 3

Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work
Rewriting Whole Numbers as fractions 4 = 4/1 Express whole numbers as fractions Whole numbers as fractions   151 42
Multiplying  Fractions
 3/8 x 4/5 = 3/10
Multiplying fractions by fractions using area models Multiplying 2 fractions: 5/6 x 2/3 8-9 149 39 20
Multiplying 2 fractions: number line
Cancelling Before you Multiply Fractions 6/7 x 14/17 becomes 6/1 x 2/17 when you cancel out 7 from the numerator and the denominator, so the answer is 12/17 Simplify fraction multiplication problems using common factors Multiplying 2 fractions: 5/6 x 2/3 (This is the same video as above. The second half of the video explains cancelling.) 13-15 150 40-41 21
Multiplying Mixed Numbers
 3 1/4 x 1 4/5 = 5 17/20
Multiplying Mixed Numbers 19-21

152

43 22
Dividing by Fractions
 3/8 ÷ 1/2 = 3/4
Divide a fraction by a fraction Dividing fractions: 2/5 ÷ 7/3 22-25 153 47-48 23
Dividing fractions: 3/5 ÷ 1/2
Dividing by Mixed Numbers
 3 1/2 ÷ 2 1/3 = 1 1/2
Dividing Mixed Numbers 26-28 154 53-54 24
Dividing Mixed Numbers (2)
Concept/Skill Sample Learn Zillion Khan Academy

Breakthrough to Math, Level 2, Book 3

Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work       Problem Solving Post-Test 1.  In the Breakthrough to Math, Level 2, Book 3, complete the Post-Test on page 29. You may NOT use a calculator for this test. 2.  Answers can be found on page 30. 3. A passing score is 6 out of 7.