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K-5 Grado 5 Unit 3 Lesson 7

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•K-5 Math 6-8 Math 9-12 Math

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Kínder Grado 1 Grado 2 Grado 3 Grado 4 •Grado 5

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Unit 1 Unit 2 •Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 •Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20

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Grado 3
Grado 4
Grado 5

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Lesson 8
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Lesson 7

Warm-up Activity 1 Activity 2

Unit 3, Lesson 7

Generalicemos la multiplicación de fracciones

Grado 5

Warm-up

Observa y pregúntate: Dos diagramas

¿Qué observas? ¿Qué te preguntas?

Square, length and width, 1. Partitioned into 4 rows of 5 of the same size rectangles. 8 rectangles shaded.

Rectangle. Length, 4 fifths unit. Width, 1 half unit.

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Activity 1

Ecuaciones y área

Encuentra el valor de cada producto. Si te ayuda, dibuja un diagrama.
¿Cómo decidiste si dibujabas o no un diagrama? ¿Cómo los diagramas te ayudaron a encontrar los productos?
Diego dibujó este diagrama para representar el producto . ¿Cómo puede el diagrama ayudar a Diego a encontrar el valor de ? Explica o muestra tu razonamiento.

Activity 2

Multipliquemos fracciones

En cada caso, encuentra el valor que hace que la ecuación sea verdadera. Si te ayuda, dibuja un diagrama.

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Standards Alignment

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Addressing

5.NF.4.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.

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Standards Alignment

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Addressing

5.NF.4.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.)

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Standards Alignment

Building On

Addressing

5.NF.4.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.)

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