CC.2.1.5.C.2 MA.5.FR.2.2 MA.5.FR.2.3 M05.A-F.2.1.2 M05.A-F.2.1.3 Math.5.NF.4a 5.NF.B.4.A Math.4.NF.4b 5.NF.B.4.B Math.5.NF.6 5.NF.B.6

Common Core Standards Multiply Fractions
Grade:	5th Grade
Standard:	CC.2.1.5.C.2
Description:	Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Standard:	MA.5.FR.2.2
Description:	Extend previous understanding of multiplication to multiply a fraction by a fraction, including mixed numbers and fractions greater than 1, with procedural reliability.
Standard:	MA.5.FR.2.3
Description:	When multiplying a given number by a fraction less than 1 or a fraction greater than 1, predict and explain the relative size of the product to the given number without calculating.
Standard:	M05.A-F.2.1.2
Description:	Multiply a fraction (including mixed numbers) by a fraction.
Standard:	M05.A-F.2.1.3
Description:	Demonstrate an understanding of multiplication as scaling (resizing).
Standard:	Math.5.NF.4a or 5.NF.B.4.A
Description:	Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
Standard:	Math.4.NF.4b or 5.NF.B.4.B
Description:	Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
Standard:	Math.5.NF.6 or 5.NF.B.6
Description:	Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

The product of a fraction and a whole number,

\frac{a}{b} \times q

, can be found by partitioning
the whole number,

q

, into

b

equal parts, and then selecting

a

of those parts.

One way to think of

\frac{5}{12} \times 4

is as 5 parts of a partition of 4 into 12 equal parts.

\frac{5}{12} \times 4

is 5 parts of the partition, so shade 5 of the parts.

Each whole is divided into 3 equal parts, so each part represents one-third.
One whole and two

\frac{1}{3}

's are shaded.
So,

\frac{5}{12} \times 4 = 1 \frac{2}{3}

Common Core Standards

Multiply Fractions

CC.2.1.5.C.2

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MA.5.FR.2.2

Extend previous understanding of multiplication to multiply a fraction by a fraction, including mixed numbers and fractions greater than 1, with procedural reliability.

MA.5.FR.2.3

When multiplying a given number by a fraction less than 1 or a fraction greater than 1, predict and explain the relative size of the product to the given number without calculating.

M05.A-F.2.1.2

Multiply a fraction (including mixed numbers) by a fraction.

M05.A-F.2.1.3

Demonstrate an understanding of multiplication as scaling (resizing).

Math.5.NF.4a or 5.NF.B.4.A

Math.4.NF.4b or 5.NF.B.4.B

Math.5.NF.6 or 5.NF.B.6

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

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