Quadratic Sequence 1

Submitting Organization: Illustrative Mathematics

Grade Levels: 11th Grade

Subject Area: Math

Standards Alignment: Common Core State Standards – Math

CCSS.MATH.CONTENT.8.F.B.4 This task connects to high school content standard HAS-REI.B.4 about solving quadratic equations, and to mathematical practice standard MP.7: Look for and make use of structure. 

Description of the Activity:

The purpose of this task is to help students see structure in algebraic expressions and equations (MP.7). It is one out of a series of three tasks.

Discussion Questions:

  • (after part (a)) Each function has an n^2 in the expression defining it. Can you see the n^2 in the corresponding pattern?
  • (after part (b)) What did you notice about 404 that helped you figure out which pattern had 404 tiles in it? What about 432 and 195?
  • What operations did you perform on the numbers in part (b) to figure out the step number?

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