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Wayward Wednesday

Wayward Wednesday. Overtones in singing. Ratio. What is the ratio of red hearts to green hearts? 3: 1 3: 2 1: 2 2: 1. Ratio. What is the ratio of red hearts to green hearts? 3: 1 3: 2 1: 2 2: 1. Ratio. What is the ratio of red hearts to blue hearts? 3: 1 3: 2 1: 2 2: 1.

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Wayward Wednesday

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  1. Wayward Wednesday • Overtones in singing

  2. Ratio What is the ratio of red hearts to green hearts? • 3: 1 • 3: 2 • 1: 2 • 2: 1

  3. Ratio What is the ratio of red hearts to green hearts? • 3: 1 • 3: 2 • 1: 2 • 2: 1

  4. Ratio What is the ratio of red hearts to blue hearts? • 3: 1 • 3: 2 • 1: 2 • 2: 1

  5. Ratio What is the ratio of red hearts to blue hearts? • 3: 1 • 3: 2 • 1: 2 • 2: 1

  6. Ratio What is the ratio of green hearts to all hearts? • 1: 6 • 6: 1 • 1: 2 • 2: 1

  7. Ratio What is the ratio of green hearts to all hearts? • 1: 6 • 6: 1 • 1: 2 • 2: 1

  8. Ratio What is the ratio of red hearts to non-red hearts? • 1: 3 • 1: 2 • 1: 1 • 2: 1

  9. Ratio What is the ratio of red hearts to non-red hearts? • 1: 3 • 1: 2 • 1: 1 • 2: 1

  10. Ratio Example The Sochi Olympics cost approximately $50 billion, while the Vancouver Olympics cost approximately $8 billion. What is the ratio of the Sochi cost to the Vancouver cost? Vancouver Sochi 50 : 8 25 : 4

  11. Another way to look at ratio Example: Find an equivalent ratio for 3:4. 3 4 3 : 4 = 3 4 6 8 × 2 × 2 =

  12. Solving Equations Step #1. Look at how each number is related to the x (or other terms). Is the number being subtracted? Added? Multiplied? Divided? Example: How is the 3 related to the x in this equation: x + 3 = 9 A) The x has 3 added to it B) The x has 3 subtracted from it C) The x is multiplied by the 3 D) The x is divided by 3

  13. Solving Equations Step #1. Look at how each number is related to the other terms. Is it being subtracted? Is it being added? Is it being multiplied? Is it being divided Example: How is the 3 related to the x in this equation: x + 3 = 9 A) The x has 3 added to it B) The x has 3 subtracted from it C) The x is multiplied by the 3 D) The x is divided by 3

  14. Solving Equations Step #1. Look at how each number is related to the other terms. Is it being subtracted? Is it being added? Is it being multiplied? Is it being divided Example: How is the 3 related to the x in this equation: 3 – x = 9 A) The x has 3 added to it B) The x has 3 subtracted from it C) The x is multiplied by the 3 D) The x is divided by 3

  15. Solving Equations Step #1. Look at how each number is related to the other terms. Is it being subtracted? Is it being added? Is it being multiplied? Is it being divided Example: How is the 3 related to the x in this equation: 3 – x = 9 A) The x has 3 added to it B) The x has 3 subtracted from it C) The x is multiplied by the 3 D) The x is divided by 3

  16. Solving Equations Step #1. Look at how each number is related to the other terms. Is it being subtracted? Is it being added? Is it being multiplied? Is it being divided Example: How is the 3 related to the x in this equation: 3x = 9 A) The x has 3 added to it B) The x has 3 subtracted from it C) The x is multiplied by the 3 D) The x is divided by 3

  17. Solving Equations Step #1. Look at how each number is related to the other terms. Is it being subtracted? Is it being added? Is it being multiplied? Is it being divided Example: How is the 3 related to the x in this equation: 3x = 9 A) The x has 3 added to it B) The x has 3 subtracted from it C) The x is multiplied by the 3 D) The x is divided by 3

  18. Solving Equations Step #1. Look at how each number is related to the other terms. Is it being subtracted? Is it being added? Is it being multiplied? Is it being divided Example: How is the 3 related to the x in this equation: x / 3 = 9 A) The x has 3 added to it B) The x has 3 subtracted from it C) The x is multiplied by the 3 D) The x is divided by 3

  19. Solving Equations Step #1. Look at how each number is related to the other terms. Is it being subtracted? Is it being added? Is it being multiplied? Is it being divided Example: How is the 3 related to the x in this equation: x / 3 = 9 A) The x has 3 added to it B) The x has 3 subtracted from it C) The x is multiplied by the 3 D) The x is divided by 3

  20. Solving Equations Step #2. To move the number across the = sign, do the opposite of it’s relation to x to both sides of the equation: If the # is being added, subtract it from both sides If the # is being subtracted, add it to both sides If the # is being multiplied, divide both sides by it If the # is being divided, multiply both sides by it

  21. Solving Equations Step #2. Do the opposite to both sides of the equation Example: How would you solve for x in this equation? A) Multiply both sides by 3 B) Divide both sides by 3 C) Add 3 to both sides D) Subtract 3 from both sides x 3 = 9

  22. Solving Equations Step #2. Do the opposite to both sides of the equation Example: How would you solve for x in this equation? A) Multiply both sides by 3 B) Divide both sides by 3 C) Add 3 to both sides D) Subtract 3 from both sides x 3 = 9

  23. Solving Equations Step #2. Do the opposite to both sides of the equation Example: How would you solve for x in this equation? A) Multiply both sides by 3 B) Divide both sides by 3 C) Add 3 to both sides D) Subtract 3 from both sides 3 + x = 9

  24. Solving Equations Step #2. Do the opposite to both sides of the equation Example: How would you solve for x in this equation? A) Multiply both sides by 3 B) Divide both sides by 3 C) Add 3 to both sides D) Subtract 3 from both sides 3 + x = 9

  25. Solving Equations Step #2. Do the opposite to both sides of the equation Example: How would you solve for x in this equation? A) Multiply both sides by 3 B) Divide both sides by 3 C) Add 3 to both sides D) Subtract 3 from both sides 3x = 9

  26. Solving Equations Step #2. Do the opposite to both sides of the equation Example: How would you solve for x in this equation? A) Multiply both sides by 3 B) Divide both sides by 3 C) Add 3 to both sides D) Subtract 3 from both sides 3x = 9

  27. Solving Equations Step #2. Do the opposite to both sides of the equation Example: How would you solve for x in this equation? A) Multiply both sides by 3 B) Divide both sides by 3 C) Add 3 to both sides D) Subtract 3 from both sides x – 3 = 9

  28. Solving Equations Step #2. Do the opposite to both sides of the equation Example: How would you solve for x in this equation? A) Multiply both sides by 3 B) Divide both sides by 3 C) Add 3 to both sides D) Subtract 3 from both sides x – 3 = 9

  29. Solving Equations Example: Solve the following equation for x x 5 + 4 = 7

  30. Solving Equations Example: Solve the following equation for x x : 5 = 12 : 20

  31. Solving Equations Example: Solve the following equation for x 7 : x = 21 : 33

  32. Practice in your Teams Solve for x: • When you are done, try the practice page individually x 3 – 7 = 2 9 – 3x = 21 3x – 9 = 21 x : 6 = 24 : 36

  33. Homework If you didn’t finish it on Friday: Page 54 #1, 2, 4, 6 – 9 Page 58 #1, 2 Page 63 #1 – 17 (every other question) Page 64 #18 - 33

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