standard_description: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.)
problem_activity: Problem 1
Act 1: Look at the following recipe -
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What do you notice? What do you wonder?
Problem 2
Act 2: Use the following information to determine how many batches of cake can be made, how many servings can be made, and how much of each ingredient are needed to make that much cake -
This is how many eggs there are:
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This is how much oil there is:
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There are 4 boxes of cake mix.
Water will come from the tap.
Each box of cake makes 12 servings.
Problem 3
Act 3: Reveal the answer –
There is enough of each ingredient to make
$$2\frac{2}{3}$$
boxes, which would produce 32 servings of cake.
To make
$$2\frac23$$
boxes, you need
$$2\frac23$$
cups of water,
$$\frac89$$
cups of vegetable oil, and 8 eggs.
Was your answer reasonable? Why or why not?
Problem 4
Act 4 (the sequel):
Keaton wants to make enough cake so that every student in his fifth grade could have some. There are 100 students in fifth grade. How much more of each ingredient above would Keaton need?


aligns: yes