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Lesson: Functions with Indiana Jones Subject: Algebra II Grade: 10-11 Teacher: Sam Eary General Education Standard: A2.1.1 Determine whether a relationship (given in contextual, symbolic, tabular, or graphical form) is a function, and identify its domain and range. A2.1.2 Read, interpret, and use function notation, and evaluate a function at a value in its domain.
A2.1.3 Represent functions in symbols, graphs, tables, diagrams, or words, and translate among representations.
Students will be able to identify and evaluate functions in symbols, graphs, tables, diagrams, and words.
Anticipatory Set:
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Students will view a short clip from the beginning of Indiana Jones and the Raiders of The Lost Ark.
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Basic knowledge should include a basic knowledge of algebra and the Cartesian coordinate system.
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In today’s lesson we will investigate some of the math aspects of this Indiana Jones movie and see how they relate to functions and the coordinate systems.
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Then write both sets of linear coordinate points on the board.
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Ask the students to draw the x and y-axis’ on their paper.
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Perform modeling procedure (part 1) as described below.
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Allow the students to finish plotting the rest of the points.
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Discuss the basic properties of functions as stated in the task analysis.
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Students will practice finding the domain and range of their graphed values.
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Students will then use a ruler to draw a line of best fit through the points.
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At this point, the time when Indiana exits the cave will be provided. Students must decide if the math supports Indiana’s miraculous escape.
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Then the class will briefly discuss equations of the form y=mx+b and create tables from the equations to see how they support the functions found in class.
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Ask some of the checking for understanding questions.
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Students may keep their graphing activity so that they can complete their worksheet and homework, but it should be turned in the next day with their homework.
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Students will then be given a worksheet that they can start on in class as guided practice and finish as homework. Students will also be assigned the homework from section 2.1: 15-68 Even.