3 Forms of Quadratics: Group Project

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Standards
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Description

Have you had trouble with group projects? This project helps with the common problem in group projects, accountability. In this project, each student is held accountable and they are also encouraged to work together. The key is how you grade this. The rubric is in the project for you and students to see. In this project, the group (preferably 3 students) graph 3 equations that represent projectiles. Each equation is in a different form. Students graph all 3 equations, create a landscape for their projectiles and answer analysis reflection questions. Students are able to choose what part of the work that they can complete and which analysis questions they can answer for their group. That is what makes this work and encourage students to contribute. We have done this project several times and I always get spectacular work from groups.

Total Pages
4 pages
Answer Key
Included
Teaching Duration
1 hour
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Standards

to see state-specific standards (only available in the US).
Identify the effect on the graph of replacing 𝘧(𝘹) by 𝘧(𝘹) + 𝘬, 𝘬 𝘧(𝘹), 𝘧(𝘬𝘹), and 𝘧(𝘹 + 𝘬) for specific values of 𝘬 (both positive and negative); find the value of 𝘬 given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
Graph linear and quadratic functions and show intercepts, maxima, and minima.
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.

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