Building a Quadratic Function

This Building a Quadratic Function lesson plan also includes:

Grab a box of toothpicks and build a model of a dog pen in a instructional activity that introduces quadratic functions. Students work in groups to investigate how the area of a rectangle with a fixed perimeter varies with different lengths and widths. They record their observations, look for patterns, and build a function to describe the data. Learners make important connections about maximum, minimum, symmetry, and increasing and decreasing intervals when they use a graphing calculator to graph their data points and the corresponding function. Note that the introduction to the instructional activity task states the dog pen is to be in the shape of a square. The activity is likely to be more productive if the more general term rectangle is used instead. Pupils may question the need to investigate scenarios with different lengths and widths if they are told in the beginning that the pen is to be a square. 

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CCSS: Designed
Resource Details

Grade
7th - 10th
Subjects
Algebra I
1 more...
Resource Type
Lesson Plans
Language
English
Duration
1 day
Instructional Strategies
Collaborative Learning
2 more...
Technology
Calculator
Common Core