Visualizing and Investigating Big Ideas, Grade 8 by Jo Boaler & Jen Munson & Cathy Williams

Author:Jo Boaler & Jen Munson & Cathy Williams
Language: eng
Format: epub
ISBN: 9781119358848
Publisher: Wiley
Published: 2020-01-29T00:00:00+00:00

Discuss

Discuss each of the patterns in turn:

What could a table of values look like for this pattern? Why?

What could a coordinate graph look like for this pattern? Why?

What might a written description of this pattern sound like? Why?

How could you represent this pattern with an algebraic expression? Are there different ways? Why or why not?

Tell students that each of these patterns is an example of a function. A function is a kind of pattern in which each input has exactly one output. Here that means that for each case in the pattern, there is only one number of squares. You might ask, How can you see this idea of one input, one output in your table? Graph? Written description? And expression?

In the first half of this activity, we asked students to project what cases 15, –3, and would look like. After students have generalized these functions, you can have a discussion about how you might have made these predictions using the table, graph, written description, and expressions they've created.

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