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Learning Gym: Intermediate Math: Understanding Fractions

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Intermediate Math: Understanding Fractions

Click on the document below to print out a tracking sheet that will get you started on the Understanding Fractions Unit.

Introduction

   

 

Concept/Skill Sample Learn Zillion Khan Academy Breakthrough to Math, Level 2, Book 1 Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook
What is a fraction?

2/3 means that something that is divided into 3 equal parts and you have 2 of them

Recognizing Fractions: Breaking shapes into equal parts: Video

Intro to Fractions

6-11, 15 123    

 

Understanding Fractions

   

 

Concept/Skill Sample Learn Zillion Khan Academy Breakthrough to Math, Level 2, Book 1 Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook
Numerator and Denominator In 3/4, 3 is the numerator and 4 is the denominator.  

Identifying Numerators and Denominators

12-14 125-126 11-12 3
Proper Fractions, Improper fractions and Mixed numbers 1/3 is proper, 4/3 is improper, 1 1/3 is mixed     17-20, 22 129-130 13  
Equivalent Fractions 2/4 has the same value as 1/2   Intro to Equivalent Fractions 29 134-135   7

Comparing Fractions

 

 

 

Concept/Skill Sample Learn Zillion Khan Academy

Breakthrough to Math, Level 2, Book 1

Foundations Mathematics Number Power 1 Breakthrough to Math, Workbook
Converting Improper Fractions and Mixed Numbers

4/3 is the same as 1 1/3

 

Rewriting Improper Fractions as Mixed Numbers

23-28 129-130, 139-140 19-21 4-6
Reducing Fractions 7/21 reduces to 1/3     32-36

137

15-17 8, 37
Comparing Fractions using Common Denominators To compare 5/12 and 2/6, we first see that 2/6 is equivalent to 4/12.  Then we compare 5/12 to 4/12   Comparing Fractions with < and > symbols 30-31, 37-44 131    
Concept/Skill Sample Learn Zillion Khan Academy

Breakthrough to Math, Level 2, Book 1

Foundations Mathematics Number Power 1 Breakthrough to Math, Workbook

 

 

 

Understanding Fractions Post-Test 

1. In the Breakthrough to Math Level 2, Book 1,complete the Post-test on page 45.  Questions 1-4 and 7 are about Understanding Fractions.

2. Answers can be found on page 46.

3. A passing score is 4 out of 5.

Comparing Fractions Post-Test

1. In the Breakthrough to Math Level 2, Book 1,complete the Post-test on page 45.  Questions 5-12 (not 7) are about Comparing Fractions.
2. Answers can be found on page 46.
3. A passing score is 6 out of 7.