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Tree Lizards

Tree Lizards. Standard: 7.EE.4a Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.  . Photo by Tom Brennam www.reptilezofaz.com.

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Tree Lizards

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  1. Tree Lizards Standard: 7.EE.4a Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.   Photo by Tom Brennam www.reptilezofaz.com

  2. You’re a research biologist interested in conserving the tree lizard species. Photo by Tom Brennam www.reptilezofaz.com

  3. Example A: • 5 adults, 4 women • Each lays 3 eggs • How many of the offspring (babies) do you think will survive? • 2/3 of the offspring will survive • How many lizards will there be next year?

  4. Example A Continued… • 5 adults, 4 females, 3 eggs per female, 2/3 eggs survive • 5 + (4 x 3) x 2/3 = • 5 + 12 x 2/3 • 5 + 24/3 • 5 + 8 = • 13 lizards

  5. Practice Problem 1: • 8 adults, 4 female, each female lays 5 eggs, ½ eggs survive • Write an equation • Find next year’s population

  6. Practice Problem 1: • 8 adults, 4 female, each female lays 5 eggs, ½ eggs survive • 8 + (4 x 5) x ½ • 8 + 20 x ½ • 8 + 20/2 • 8 + 10 • = 18 lizards

  7. Think about it… • Reality Check! How do you really know the number of eggs that survive in the wild? • A real research biologist would catch the lizards one year and come back a year later and count them again.

  8. Practice Problem 2: • 4 adult lizards, 2 female, each female lays 5 eggs • Next year you find 12 lizards. • What fraction of the eggs survived? • Write an equation with x representing the fraction of eggs that survive. The solve for x.

  9. Practice Problem 2: • 4 adult lizards, 2 female, each female lays 5 eggs • 12 lizards are found the following year • 4 + (2  5)  X = 12 • 4 + 10X = 12 • 10X = 12 – 4 • 10X = 8 • X = 8/10 or 4/5

  10. Closure: What mistake did the researcher make? • 3 adult lizards, 2 female, each female lays 4 eggs • 10 lizards are found the following year • 3 + (2 4)  X = 10 • 3 + 8X = 10 • 11X = 10 • X = 10/11

  11. Extension: • What happens if some of the adult lizards die? • How would you change your equation?

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