Multiplying Fractions MAFS.4.NF.2.4

MAFS.4.NF.1.4 UNWRAPPED BENCHMARK MAFS.4.NF.1.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. a. 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.) b. 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. Multiplying Fractions (Repeated Addition) Multiplying Fractions (Models) Multiplying Fractions (Number Line) Fraction Models Decomposing Fractions

Multiplying Fractions (Models) Create fraction strips to model the multiplication of a fraction by a whole number. 1 8 2 5 × = Product: ____________________________

Multiplying Fractions (Models) Create fraction strips to model the multiplication of a fraction by a whole number. 2 3 4 7 × = Product: ____________________________

Multiplying Fractions (Models) Create fraction strips to model the multiplication of a fraction by a whole number. 3 6 2 9 × = Product: ____________________________

Multiplying Fractions (Number Line) 1 Use the number line below to find the product of the fraction and a whole number. 5 2 7 × = Product: ____________________________

Multiplying Fractions (Number Line) 2 Use the number line below to find the product of the fraction and a whole number. 2 5 6 × = Product: ____________________________

Multiplying Fractions (Number Line) 3 Use the number line below to find the product of the fraction and a whole number. 3 3 8 × = Product: ____________________________

Multiplying Fractions (Repeated Addition) 1 Use repeated addition to find the product of the fraction and the whole number. 3 3 4 × = Product: ____________________________

Multiplying Fractions (Repeated Addition) 2 Use repeated addition to find the product of the fraction and the whole number. 4 5 6 × = Product: ____________________________

Multiplying Fractions (Repeated Addition) 2 Use repeated addition to find the product of the fraction and the whole number. 4 3 8 × = Product: ____________________________

Multiplication Fraction Models 1 Use the fraction models to identify the whole number and the fraction being multiplied.

Multiplication Fraction Models 2 Use the fraction models to identify the whole number and the fraction being multiplied.

Multiplication Fraction Models 3 Use the fraction models to identify the whole number and the fraction being multiplied.

Decomposing Fractions 1 Decompose the fraction as a product of a whole number and a unit fraction. 10 12 = ×

Decomposing Fractions 2 Decompose the fraction as a product of a whole number and a unit fraction. 11 14 = ×

Decomposing Fractions 3 Decompose the fraction as a product of a whole number and a unit fraction. 13 18 = ×

Target practice STRATEGY # 3: Draw a picture or an array STRATEGY # 4: Use a table

1 Find the product of the whole number and the fraction below. 7 3 9 × = 21 9 10 14 A C 21 63 3 63 B D

2 Find the product of the whole number and the fraction below. 6 5 8 × = 11 8 30 8 A C 30 48 11 48 B D

3 Find the product of the whole number and the fraction below. 5 3 4 × = 8 4 15 20 A C 15 4 8 20 B D

1 Identify the whole number that will make the multiplication equation true. 10 4 1 4 = × 10 8 A C 5 11 B D

2 Identify the whole number that will make the multiplication equation true. 18 3 2 3 = × 18 9 A C 17 6 B D

3 Identify the whole number that will make the multiplication equation true. 49 9 7 9 = × 8 9 A C 7 6 B D

1 Identify the multiplication equation shown by the fraction models below. 1 9 4 × = 1 9 2 × = A C 2 9 4 × = 8 2 9 × = 4 B D

2 Identify the multiplication equation shown by the fraction models below. 3 12 7 × = 21 1 12 7 × = A C 7 12 3 × = 21 1 12 3 × = B D

3 Identify the multiplication equation shown by the fraction models below. 4 12 × = 16 11 12 4 × = 44 48 A C 11 12 4 × = 44 1 12 4 × = B D

1 Identify the fraction that will make the multiplication equation true. 28 7 7 = × 1 7 4 7 A C 2 7 3 7 B D

2 Identify the fraction that will make the multiplication equation true. 48 9 8 = × 6 9 5 9 A C 7 9 8 9 B D

3 Identify the fraction that will make the multiplication equation true. 36 4 12 = × 2 4 4 A C 1 4 3 4 B D