Summary Preparation

Summary Preparation

Lesson Routines

Opening

Lesson Routines

In each lesson, you have the same routines.

  • Read through the list of routines.
  • Listen as your teacher explains what you will do during each routine.

Classroom Expectations

Opening

Classroom Expectations

These are our classroom expectations.

Discuss them with your classmates.

  • As I enter the classroom, I am expected to…
  • I am expected to submit exercises before…
  • To get the technology and any additional materials, I am expected to…
  • To put away materials at the end of the lesson, I am expected to…
  • I am also expected to…

Qualities of Effective Presentations

Opening

Qualities of Effective Presentations

During Work Time, you often prepare a presentation.

Discuss the following with your classmates.

  • How do you organize your work to clearly communicate your thinking about a problem?
  • What kinds of visuals are helpful?
  • How can you make sure you explain your strategies and reasoning well?

Hint:

Here are ideas about how to prepare clear presentations:

  • Understand your own work.
  • Use visuals and gestures to help others know what you are talking about.
  • Say fewer words and choose them carefully.
  • Include diagrams and graphs when appropriate.
  • Speak clearly and slowly.
  • Stay calm. Remember to breathe.
  • Listen carefully to comments and questions.
  • Pause to think about your response before speaking.

Model Partner Work

Opening

Model Partner Work

Watch your teacher demonstrate how to complete this task with a partner.

  • Take turns matching cards that represent the same footwear store.
  • Explain to your partner how you know the cards match. Challenge your partner to have clear and complete explanations.
  • Continue matching cards until all the cards for the same store are in a set.

HANDOUT: Shoes and Stockings: Comparing Ratios

Math Mission

Opening

Connect different representations of equivalent ratios.

Match Representations of Ratios

Work Time

Match Representations of Ratios

Work with your partner.

  • Take turns matching cards that represent the same footwear store.
  • Explain to your partner how you know the cards match. Challenge your partner to have clear and complete explanations.
  • Continue matching cards until all the cards for the same store are in a set.

HANDOUT: Shoes and Socks Reflection

Hint:

  • How is the ratio of socks to shoes different than the ratio of socks to all items?
  • Think about whether the ratio describes the relationship between parts or between the part and the whole.
  • You can write a ratio as a fraction or a decimal using division.

Prepare a Presentation

Work Time

Prepare a Presentation

Focus on the set that was hardest to match.

  • Describe your strategies for matching the ratio cards.
  • Explain your reasoning and justification.
  • Identify any mistakes you made and what you learned from them.
  • Include any questions your partner asked about your explanation.

Challenge Problem

Another footwear store has 1,800 shoes and 1,350 socks.

  • Write the simplified ratio of shoes to socks.
  • Write a decimal for the ratio of socks to shoes.
  • Write a fraction for the ratio of shoes to all items.
  • Write a percent for the ratio of socks to all items.

Make Connections

Performance Task

Ways of Thinking: Make Connections

  • Take notes about how your own thinking is similar to and different from your classmates’ thinking.
  • Are there new ideas that you want to try out?
  • What critiques do you have about your classmates’ ways of thinking?

Hint:

As your classmates present, ask questions such as:

  • What words helped you know if it was a part-to-part or part-to-whole ratio?
  • Did you find it harder to match the decimals, the fractions, the ratios, or the percents?
  • Where did you include your strategy and explanation in your presentation?
  • Are there any visuals that would be helpful to add to your presentation?

Represent Ratios

Formative Assessment

Summary of the Math: Represent Ratios

Read and Discuss

  • A ratio is the comparison of two quantities by division.
  • A ratio can be expressed as a fraction, a decimal, or a percent.
  • Ratios can compare a part to a part or a part to a whole.

Hint:

Can you:

  • Write a ratio as a fraction if it is given as a decimal?
  • Determine whether a ratio is a part-to-part or a part-to-whole comparison?
  • Explain how you know what the ratio is comparing?

Reflect On Your Work

Work Time

Reflection

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

Something I wonder about ratios is…