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6.4 Dividing Fractions

When dividing, I know how the size of a divisor affects the quotient.

I can explain how multiplication and division are related.
I can explain two ways of interpreting a division expression such as $27 \div 3$.
When given a division equation, I can write a multiplication equation that represents the same situation.

I can create a diagram or write an equation that represents division and multiplication questions.
I can decide whether a division question is asking “how many groups?” or “how many in each group?”.

I can find how many groups there are when the amount in each group is not a whole number.
I can use diagrams and multiplication and division equations to represent “how many groups?” questions.

I can find how many groups there are when the number of groups and the amount in each group are not whole numbers.

I can use a tape diagram to represent equal-sized groups and find the number of groups.

I can tell when a question is asking for the number of groups and that number is less than 1.
I can use diagrams and multiplication and division equations to represent and answer “what fraction of a group?” questions.

I can tell when a question is asking for the amount in one group.
I can use diagrams and multiplication and division equations to represent and answer “how much in each group?” questions.

I can find the amount in one group in different real-world situations.

I can divide a number by a non-unit fraction $\frac ab$ by reasoning with the numerator and denominator, which are whole numbers.
I can divide a number by a unit fraction $\frac 1b$ by reasoning with the denominator, which is a whole number.

I can describe and apply a rule to divide numbers by any fraction.

I can use division and multiplication to solve problems involving fractional lengths.

I can use division and multiplication to solve problems involving areas of rectangles with fractional side lengths.

I can explain how to find the volume of a rectangular prism using cubes that have a unit fraction as their edge length.
I can use division and multiplication to solve problems involving areas of triangles with fractional bases and heights.
I know how to find the volume of a rectangular prism even when the edge lengths are not whole numbers.

I can solve volume problems that involve fractions.

I can use mathematical expressions to represent and solve word problems that involve fractions.

I can use multiplication and division of fractions to reason about real-world volume problems.