Lesson plan

Evaluate polynomials by graphing and analyzing key features

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.4 http://corestandards.org/Math/Content/HSF/IF/B/4
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.5 http://corestandards.org/Math/Content/HSF/IF/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Big Ideas: A graph is a great analysis tool when it comes to relating the domain of a function to its range. This lesson builds on interpreting functions that model a relationship between two quantities. The task has students determine who is able to build a better rocket, Jill or Jimmy, by comparing their launch data. They are given a graph of the height Jill’s rocket and an equation that shows Jimmy’s rocket height as it changes with time. They are to analyze both the graph and equation with the aim of determining who wins. Students will interpret the graphs and identify key features of the graph in order to explain how they relate to each other. This builds toward understanding and applying functional relationships including increasing and decreasing values, relative maximums, positive, negative. Vocabulary: increasing, decreasing, slope, positive, negative, relative maximum, relative minimum, quadratic, intercept, symmetry