The concept of mixed numbers - free lesson
Mixed numbers have a whole-number part and a fractional part. This fourth grade lesson shows the concept of a mixed number with the help of visual models and number lines.
“One and one-third”
“Two and three-fourths”
1. Write what mixed numbers the pictures illustrate. Read the mixed numbers. Remember to use
“and” between the whole-number part and the fractional part.
2. Draw pie pictures to illustrate these mixed numbers.
Study this number line carefully.
After 1, we have two ways of marking the fractions for the tick marks on the number line:
3. Mark the mixed numbers on the number lines.
4. Use the number lines above, and write these fractions as mixed numbers.
Count all the thirds. You
should get four thirds.
Count all the fourths. You
should get eleven fourths.
6. Write these both as mixed numbers AND as fractions.
liters of water.
7. Write a mixed number to tell how much water is in the pitchers.
8. Remember measuring lines in inches? Measure the lines using the ruler. Your answers will
be mixed numbers.
9. Draw a line that is.
a. 4 3/4 inches long
b. 6 1/4 inches long
This lesson is taken from Maria Miller's book Math Mammoth Introduction to Fractions, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.
A self-teaching worktext for 2nd-4th grade that covers fractions and mixed numbers, adding and subtracting like fractions, adding and subtracting mixed numbers, equivalent fractions, comparing fractions, and finding a fractional part using division.
Download ($5.30). Also available as a printed copy.
Math Lessons menu
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Grade 2
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Hint: it has to do with a "recipe" that many math lessons follow.
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Advice on how you can teach problem solving in elementary, middle, and high school math.
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Students often have problems setting up an equation for a word problem in algebra. To do that, they need to see the RELATIONSHIP between the different quantities in the problem. This article explains some of those relationships.
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Short reviews of the various science resources and curricula I have used with my own children.
