standard_description: Interpret multiplication as scaling (resizing), by:
- Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1.
- Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
problem_activity: Problem 1
Jenny buys 2 feet of string. If this is one-third the amount she needs to make a bracelet, how many feet will she need?
a.   Draw a diagram to represent the problem.
b.   Write an expression to represent the problem.
c.   Find how many feet of string Jenny needs.
Problem 2
a.   Match each division expression (cut out from
Template: Fraction Division Sort
) with a situation (cut out from
Template: Fraction Division Sort
). Some expressions do not have a matching situation.
b.   Answer each question. Be prepared to share your reasoning.
Problem 3
a.   Write a story context that can be solved using the expression
$${2\div{1\over4}}$$
.
b.   Write a story context that can be solved using the expression
$${{1\over3}\div4}$$
.


aligns: no