standard_description: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)
problem_activity: Problem 1
Mrs. Fowler knew that the perimeter of the soccer field was
$${{1\over6}}$$
mile. She walked
$$2{{{1\over6}}}$$
miles in total. How many times did she walk around the field? Show or explain your work.
Problem 2
Convert the following mixed numbers to fractions greater than 1. Show or explain your work.
a.
$${3{1\over2}}$$
b.
$${4{1\over4}}$$
c.
$${5{3\over5}}$$
Problem 3
Ben wrote the mixed number
$$7\frac{1}{3}$$
as a fraction. Here is his work:
| $$7\frac{1}{3}= 7 + \frac{1}{3}$$ | (Step 1) |
|-----------------------------------|----------|
|   $$=\frac{7}{1}+\frac{1}{3}$$    | (Step 2) |
|   $$=\frac{21}{3}+\frac{1}{3}$$   | (Step 3) |
|         $${={22\over3}}$$         | (Step 4) |
Explain what Ben did in each step.


aligns: no