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Understanding Rates in Cat and Mouse Simulation

Discover the concept of rates through the Cat and Mouse Simulation. Explore how graph lines represent speed, compare animal speeds, and interpret coordinates to find top speeds. Dive into the world of ratios and units.

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Understanding Rates in Cat and Mouse Simulation

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  1. Whose S ope is it Anyway? Created by Brian Domroes

  2. Which Animal is Faster? Give reasons to support your answer.

  3. Rate: Definition and Examples • A rate is a ratio comparing two different units • Examples: • Dollars/week • Miles/hour • Beats/second

  4. Cat and Mouse Simulation What do graph lines really mean?

  5. Go to www.explorelearning.com Type in “Cat and Mouse” Cat and Mouse

  6. Click on “Launch Gizmo”

  7. Play with the Variables

  8. Exploration Activity Reviewed • The line moves up the y axis 3 spaces. • Make the cat go as fast as possible. • Yes, if it has enough of a head start. • Parallel lines = same slope = same speed.

  9. 1 second 7 feet Exploration Activity Reviewed 5.

  10. Exploration Activity Reviewed 6. The intersecting lines shows where the cat catches the mouse. • 20 feet 8. The more vertical the line, the faster the animal.

  11. Exploration Activity Reviewed 9. What are your observations?

  12. . . Exploration Activity Reviewed 10.

  13. Cheetah Chase

  14. Warthog and Sable

  15. Impala and Hare

  16. Interpreting the Graph

  17. Top Speed of the Cheetah and its Prey

  18. Look for points at exact coordinates ● ●

  19. y x Align the triangles appropriately

  20. y x 130 feet in 2 seconds

  21. Answers Reviewed

  22. y x 360 feet in 8 seconds

  23. Answers Reviewed

  24. y x 180 feet in 2 seconds

  25. Answers Reviewed

  26. y x 420 feet in 4 seconds

  27. Answers Reviewed

  28. y x 200 feet in 4 seconds

  29. Answers Reviewed

  30. Answers Reviewed • The change in y compared to change in x. • The Impala is 2nd fastest. • The Sable and the Warthog.

  31. Revisit the Original Question

  32. The End

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