Math is Ours

MPP.3 · Unit 1 · Lesson 6

Name   Period

Objectives / Objetivos

Content Objective: I can describe my problem-solving process, name strategies for getting unstuck, and identify the behaviors that make our class a community of math thinkers.

Language Objective: I can talk about problem solving using the phrases make sense of, get stuck, try a strategy, and work together.

Key Idea / Idea clave

Math Practices: Collaboration & Critique. 1. Explain your reasoning using precise mathematical language. 2. Listen actively to partner strategies and compare approaches. 3. Build on shared agreements to reach consensus

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
make sense of a problem
comprender un problema		To figure out what a problem is asking — what you know, and what you don't know yet.
Descubrir qué pide un problema: qué sabes y qué no sabes todavía.
representation
representación		A way of showing a problem — a drawing, table, equation, or model — that helps you see it.
Una forma de mostrar un problema — un dibujo, una tabla, una ecuación o un modelo — que te ayuda a verlo.
strategy
estrategia		A plan of attack for a problem — and something you can switch when you get stuck.
Un plan para atacar un problema — y algo que puedes cambiar cuando te atascas.
critique
criticar constructivamente		To examine an idea and say what is convincing or not — about the idea, never about the person.
Examinar una idea y decir qué es convincente o no — sobre la idea, nunca sobre la persona.
community agreement
acuerdo comunitario		A rule the whole class agrees to so that everyone can learn together.
Una norma que toda la clase acepta para que todos puedan aprender juntos.

Practice Preview / Vista previa de práctica

  1. A bicycle rack holds 8 bikes, and each bike has 2 wheels. How many wheels are on the rack?
    1. 16
    2. 10
    3. 4
    4. 82
  2. You are solving a problem and realize your strategy is not making progress. What does the problem-solving process say to do?
    1. Notice your progress has stalled and shift to a different strategy
    2. Keep using the same strategy no matter what
    3. Erase everything and decide the problem is impossible
    4. Copy a classmate's paper
  3. The first rack has 16 wheels and the other rack has 6 times as many. How many BIKES does the bigger rack hold, if every bike has 2 wheels?
    1. 48
    2. 96
    3. 24
    4. 192
  4. A group solves a hard problem, but one student did all the talking while three stayed silent. By this lesson's standards, how did the GROUP do?
    1. Not well — a community shares thinking and takes turns, so three voices went unheard
    2. Perfectly — the answer was right, and that is all that matters
    3. Not well — the talker should have stayed silent too
    4. Perfectly — silent members were being respectful

Reflection / Reflexión

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