Math is Exploring and Thinking

5.NF.B.4 · Unit 1 · Lesson 2

Name   Period

Objectives / Objetivos

Content Objective: I can make sense of a problem, plan a strategy, and use fractions of a whole number to compare quantities.

Language Objective: I can explain my plan using the words we know, we don't know, and my strategy is ___ .

Key Idea / Idea clave

Math Practices: Sense Making & Strategy Planning. 1. Identify known quantities and the unknown question. 2. Choose a strategy (draw a model, write an equation, or build a table). 3. Evaluate progress and pivot to an alternate approach if needed

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
quantity
cantidad		An amount in a problem — a number with a meaning attached, like 540 meters.
Una cantidad en un problema: un número con un significado, como 540 metros.
relationship
relación		How two quantities compare or connect to each other.
Cómo se comparan o se conectan dos cantidades entre sí.
strategy
estrategia		A plan for how to solve a problem before you start computing.
Un plan para resolver un problema antes de empezar a calcular.
reasonable
razonable		A solution that makes sense in the context of the problem.
Una solución que tiene sentido en el contexto del problema.
persevere
perseverar		To keep working on a problem, checking your progress and adjusting your plan when you get stuck.
Seguir trabajando en un problema, revisando tu progreso y ajustando tu plan cuando te atascas.

Practice Preview / Vista previa de práctica

Read each task. Show your work in the spaces provided and explain how you know.

1. Which of these is a correct way to decompose 105.76?

  1. A 10 + 5.76
  2. B 100 + 5.76
  3. C 100 + 5.076
  4. D 105 + 7.6

Answer:

2. The Rio de Janeiro building will be 9/10 as tall as One World Trade Center (540 meters). How tall will it be?

  1. A 54 meters
  2. B 486 meters
  3. C 594 meters
  4. D 4,860 meters

Answer:

3. The Tokyo building will be 6/5 as tall as One World Trade Center (540 meters). How tall will it be?

  1. A 108 meters
  2. B 432 meters
  3. C 450 meters
  4. D 648 meters

Answer:

4. Which set shows FIVE different correct decompositions of 105.76?

  1. A 100 + 5.76, 105 + 0.76, 110 − 4.24, 52.88 × 2, 211.52 ÷ 2
  2. B 100 + 5.76, 105 + 7.6, 110 − 4.24, 52.88 × 2, 211.52 ÷ 2
  3. C 100 + 5.76, 105 + 0.76, 110 + 4.24, 52.88 × 2, 211.52 ÷ 2
  4. D 100 + 5.76, 105 + 0.76, 110 − 4.24, 52.88 × 3, 211.52 ÷ 2

Answer:

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: