Models
On your whiteboard, draw a model to show that 3/4 = 6/8.
Any model that shows that these fractions are equivalent.
Leslie will use more than a 1/2 cup but less than 1 whole cup of flour for a recipe. What fraction of a cup might Leslie use?
1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12, etc.
Jared has mowed 2/5 of the yard. Abby says that Jared mowed 4/6 of the yard. Is Abby correct?
No, Abby is not correct because 4/6 is not equivalent to 2/5.
On your whiteboard, draw a model to show that 2/3 = 4/6.
Any model that shows these fractions are equivalent.
Emile will use less than 1/2 cup of sugar for a recipe. What fraction of a cup might Emile use?
1/3, 1/4, 1/5, 1/6, 1/8, 1/9, 1/10, 1/12, etc.
Missy walks 1/3 mile to school. Will says that Missy walks 2/6 mile to school. Is Will correct?
Yes, Will is correct because 1/3 and 2/6 are equivalent fractions.
Bill and Gina each ate 1/2 of their own pizza. Bill ate more pizza than Gina. On your whiteboard, draw a model to explain how that is possible.
Any model that shows Bill's pizza was larger than Gina's.
Compare the following fractions to 1/2. Write which are less than 1/2, equal to 1/2, or more than 1/2.
5/4, 5/10, 2/12, 6/12, 3/8, 2/3
Less than: 2/12, 3/8
Equivalent: 5/10, 6/12
More than: 5/4, 2/3
Explain how to use division to find an equivalent fraction for 9/12.
Divide 9 and 12 by a common factor.
9 divided by 3 = 3
12 divided by 3 = 4
so, 9/12 = 3/4
On your whiteboard, draw a model to compare 1/3 and 3/5.
Any model that correctly compares these fractions.
Compare the following fractions to 2/3. Write which are less than 2/3, equal to 2/3, or more than 2/3.
1/2, 8/12, 3/8, 10/15, 4/5, 9/10
Less than 2/3: 3/8, 1/2
Equivalent: 8/12, 10/15
More than: 4/5, 9/10
Explain how to use multiplication to find an equivalent fraction for 1/4.
Multiply 1 and 4 by the same number.
1 x 2 = 2
4 x 2 = 8
So, 1/4 = 2/8
Jane and Richard each painted about 1/5 of their own birdhouse. Jane painted more than Richard. On your whiteboard, draw a model to explain how that is possible.
Any model that correctly shows that Jane's birdhouse is larger than Richard's.
Sarah and Cole both ordered large subs for lunch. Sarah had 1/2 of a sub and Cole had 2/5 of a sub. Who ate more?
Sarah ate more than Cole, as 2/5 < 1/2.
Write two fractions that are equivalent to 3/6. Explain how.
Any fraction that is equivalent to 3/6.