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Subscribe to Homeschool Math Newsletter - filled with math teaching information September 2010 newsletter
Latest from my blog This is where you'll find the latest happenings, news, & ideas in math teaching Math teaching videos My videos at YouTube show you how to teach concepts.
How to teach long division
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The ideas in this fraction lesson are taken from Math Mammoth Fractions 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student. How to convert a fraction into a mixed number
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1.This picture illustrates the division 6 ÷ 3 = 2. b) Draw a picture that illustrates 9 ÷ 3 = 3. c) Draw a picture that illustrates 15 ÷ 3 = 5. |
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2.a Draw a picture to illustrate 1 ÷ 3 = ?? In other words, you have one whole pie. You want to divide that pie equally between 3 people. How much pie does each one get to eat? Think!
b. Draw a picture to illustrate 1 ÷ 4. You have _ pie, and __ people. How much pie does each one get?
c. Draw a picture to illustrate 1 ÷ 5. You have _ pie, and __ people. How much pie does each one get?
In other words, division can also be written using the fraction line. Think this way: The answer to the problem 1 ÷ 8 is one eighth. |
3. a. Draw a picture to illustrate 2 ÷ 5. You have __ pies, and __ people. How much pie for each?
b. Draw a picture to illustrate 3 ÷ 5. You have __ pies, and __ people. How much pie for each?
e. Draw a picture to illustrate 4 ÷ 3. How much pie does each one get to eat?
4. If you have 25 apples and four people, you can write a division problem 25 ÷
4. Everyone gets 6 apples and 1 is left over. 25 ÷ 4 = 6 R1.
What if you take your knife and ALSO divide the remainder apple between those
four people?
5. In these division problems you will have a remainder. Use the knife and divide the remainder too!
| 13 ÷ 2 = | 9 ÷ 2 = |
16 ÷ 3 = |
In other words, division can also be written using the fraction line. Think this way: The answer to the problem 7 ÷ 3 is seven thirds - which is two wholes and one third.
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To convert a fraction into a mixed number, think of it as a DIVISION problem, and divide. For example,
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6. Write the fractions as mixed numbers or whole numbers. You can
always draw pictures too!
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7. Solve the division problems. Write the answer as a whole number or as a mixed number.
| 31 ÷ 2 =
13 ÷ 2 = 34 ÷ 3 = |
46 ÷ 7 =
67 ÷ 8 = 55 ÷ 8 = |
*8. What division problems are the pictures illustrating?
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Next lesson: adding like fractions
The ideas in this fraction lesson are taken from Math Mammoth Fractions 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.
TenMarks: An affordable summer math program
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