Mixed to Improper
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Teaching Advanced Fractions
Lesson Plans by Anna Warfield
Once students have mastered the basics of fractions, they can be introduced to more complex concepts. Adding and subtracting fractions, as well as recognizing and manipulating improper fractions, are topics that are crucial during the elementary grades and into middle school.
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Storyboard Description
Mixed Fractions & Improper Fractions Activity | Math Lesson Plans
Storyboard Text
- 3 5/12 ...
- becomes 41/12
- 3 5/12 = 41/12
- Meghan comes to the campfire with 3 5/12 chocolate bars. (She and Jamie had eaten some on their way.)
- How to Convert
- Little Jamie breaks apart all the bars into pieces. Now there are 41/12 chocolate bars. Thanks, Jamie.
- Addition
- The amount of chocolate has remained the same. Making s'mores may require some more work, but we haven't lost any chocolate.
- Standard Algorithm
-
- Besides counting up the pieces, we can use a few shortcuts to find an equivalent fraction of a mixed number.
- I will show you how to re-name-inate.
- 12/12 + 12/12 + 12/12 + 5/12 = 41/12
- 12
- Rename the whole number as a fraction(s) that has the same denominator as your partial fraction. Add the fraction piece to the wholes.
- 12
- 12
- 5
- Multiply the whole number by the denominator. Add the old numerator to get a new numerator. Place over denominator.
- (3 x 12) + 5 = 41
- 3
- x
- 512
- +
- 4112
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