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6th Grade Task: Car Lot

Standards & Objectives

Essential and guiding questions:

Whole Group Questions:

What strategies did you use to solve this problem? How did you know your strategy would work?
How are ratios in part B similar to what you know about fractions? How are the ratios different than what you know about fractions?
What kinds of numbers can you use in your expressions for the variable? Is the variable in your expression for the number of cars related to the variable in your expression for the number of trucks?

Activity/Task Variations

Blooms taxonomy level:

Understanding

Differentiation suggestions:

Entry/Extensions:

Assessing and Advancing Questions

If students can’t get started….

Assessing Questions

Let’s look at what is already on the car lot. How many cars and how many trucks do you have? What is the ratio of cars to trucks now? Why?

Advancing Questions

How can you change that ratio? What would you need to do to change that ratio?

If students finish early….

Assessing Questions

Show me how you determined the expressions for the patterns you found.
What kinds of numbers can you use in your expressions for the variable?
Is the variable in your expression for the number of cars related to the variable in your expression for the number of trucks?

Advancing Questions

Suppose the ratio of trucks to cars was 3:2. How would this change your answers? Would you have different patterns? Why or why not?

Originator:

Tennessee Department of Education