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
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| 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 |
6-11, 15 | 123 |
Understanding Fractions
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| 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. | 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
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| 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 |
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 |
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Understanding Fractions Post-Test
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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. |
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2. Answers can be found on page 46. |
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| 3. A passing score is 4 out of 5. |
Comparing Fractions Post-Test
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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. |