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Exploring Direct and Inverse Variation in Mathematics

In this investigation, students will calculate and interpret inverse variation, analyzing tables and graphs to understand relationships between variables. They will develop equations using length and width, exploring direct and inverse variation patterns. Further exploration of distance and time formulas will enhance understanding of linear and nonlinear relationships. Homework tasks on page 69 provide practice in applying these concepts.

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Exploring Direct and Inverse Variation in Mathematics

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  1. Investigation 3 Students will be able to calculate and interpret inverse variation.

  2. Areas Problem 3.1 Complete problem 3.1 What do you notice about the table What do you notice about the graph Key is being about to come up with an equation using l(ength) and w(idth), try using only 1 variable to write this equation How would this equation change if the area changes

  3. Direct and Inverse Direct variation is more linear Inverse variation is not a straight line, approaches zero Speed = Distance/time Problem 3.2 What do you notice is different in the table pattern vs linear Problem 3.3

  4. Homework Page 69 1,4-7

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