This activity, written to comply with the NCTMURL http://math.rice.edu/~lanius/Lessons/Patterns/rnotes.htmlStandards,and to support theTexas Essential Knowledge and Skills (TEKS)uses a geometric pattern to teach that important concept of finding patterns and deriving a formula to fit the data.

Grade Levels:7-12 (Even though finding the formulas might be too hard for lower grades, they can use part of the patterning activities)

Activity Procedures:In this lesson students will:

- Study 3 stages of a geometric pattern,
- Organize their information in a table,
- Look for number patterns,
- Write formulas and graph the relationships,
- Examine growth rates,
- Multiply polynomials, and
- Use formulas to make predictions.

Mathematics Topics:number patterns, relations, functions, formulas, graphing, linear and quadratic equations, constant differencing, symmetry.

Connecting Mathematics:Connects algebra and geometry.

Materials and media:Square grid paper, Internet access or print-out of activity, color tiles (optional)

Suggested Assessment:Questions with answers are provided, along with an explantion for finding the formulas. Evaluating student-created designs and tables provides an excellent form of assessment.

Texas Curriculum Documentation:

Algebra TEKS111.32b- TAAS 2a; 2f; 12a

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