More Tile Patterns

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Objective

Students will be able to find the recursive and explicit rule to complete both linear and nonlinear tile sequences.

Big Idea

Let's look at number patterns and geometric structure. Some students will look at number sequences to generate rules while others dig into the geometric structures. Great opportunity to explore equivalent expressions!

Lesson Author

Hilary Yamtich

Oakland, CA

Grade Level

Eleventh grade

Twelfth grade

Subjects

Math

Patterns (Algebra)

Algebra

Linear and Nonlinear Equations

Standards

HSF-LE.A.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

HSF-LE.A.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP3

Construct viable arguments and critique the reasoning of others.

MP4

Model with mathematics.

MP7

Look for and make use of structure.

MP8

Look for and express regularity in repeated reasoning.