This differentiated outer space themed project covers quadratic functions and is the perfect way to incorporate science into mathematics. This project can be used as an individual assignment, or used as a small group collaborative activity.
The project has 4 parts:
1) Gravity on Earth, Mars, and the Moon
2) The Speed of Sound
3) A Meteorite Strikes!
4) Passing Star Demolished by a Black Hole
-Solve Quadratics by Factoring, by using the Quadratic Formula, and by taking Square Roots
-Identify and Interpret the Vertex, Discriminant, X-intercepts in real world situations
-Identify intervals of Increase and Decrease; Domain and Range
-Make Scientific Conclusions based on Mathematical Justifications
This project is differentiated into 2 tiers, which makes it perfect for the inclusive classroom! Both sets have the same exact problems, but the easier set has hints on how to get started on the problems. The graphs on the easier set also have intervals already complete on the x and y- axes.
Common Core Standards:
CCSS.HSA.REI.B.4 Solve quadratic equations in one variable.
CCSS.HSF.IF.B.4 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. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior.
CCSS.HSF.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. CCSS.HSF.IF.C.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Answer key included.
See similar resources:
Quadratics Functions: Card Sort Activity (Match graph, equation, characteristic)
Quadratics Functions: POSTERS
This topic is also covered in:
Algebra State Exam Prep: Study Guide w/ Notes and 2 Practice Tests
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