Understanding A Gallery Problem

Understanding A Gallery Problem

Strengthen Mathematical Character

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Strengthen Mathematical Character

Your habits and routines will help you approach mathematical situations and help you work with your classmates to build a mathematical community.

Discuss the following with your classmates.

  • What other things can you do to be active in class and take responsibility for your own learning?

Hint:

Here are ideas to strengthen your mathematical character when working with others:

  • Present ideas to your classmates for their feedback.
  • Ask your classmates questions about their work.
  • Write your classmates' successful, innovative strategies in your Notebook.
  • Take notes about different ways of thinking about a problem.

Here are ideas to strengthen your mathematical character when working on your own:

  • Estimate an answer before solving a problem.
  • Check if your answer is reasonable.
  • Include visual representations of problems and solutions in your work.
  • Use complete sentences in the solution.
  • Ask yourself questions about your work to improve it.
  • Solve the same problem using different strategies.
  • Solve the same problem again using different numbers and look for patterns.
  • Revise your work.

What Is a Gallery?

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What Is a Gallery?

During Gallery lessons, you will be working independently, with a partner, or with your teacher.

  • You might be working with your teacher to review concepts introduced in the unit.
  • You might be working on a Gallery problem.

Gallery problems give you a chance to work on different kinds of problems.

  • You choose which problems to solve.
  • You decide when you are ready to share your work.
  • You might present your work to the class.

Discuss the following with your classmates.

  • What things should you consider when choosing a Gallery problem?

Hint:

Here are ideas of things to consider when choosing a problem:

  • Look at each problem before choosing one.
  • Use your understanding of the unit’s math to help you decide on a problem.
  • Choose the problem you find most interesting.

Math Mission

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Learn about the Gallery and how it works.

Go to the Gallery

Work Time

Go to the Gallery

Next you will experience a Gallery.

Read all the instructions before you begin.

  • Exit from this lesson.
  • Select Lesson 6.
  • Choose a Gallery problem to work on.
  • When done, save your work.
  • If you have time, try another Gallery problem.
  • When the class is done, return to this lesson and go to Task 5.

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about your classmates’ work on the Participating in a Gallery lesson.

Hint:

As your classmates present about the math tools, ask questions such as:

  • What tool did you choose and when is it helpful?

As your classmates present about what they learned about ratios and rates, ask questions such as:

  • Are there specific reasons to research a concept?
  • What can you find as resources?
  • How did you search those resources?

Reflect On Your Work

Work Time

Reflection

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

One thing I like about choosing a Gallery problem to work on is...