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Qtr. 3 Interim Review

Qtr. 3 Interim Review . Unit #1 Percents , Decimals and Fractions. Using Percents in the Real World. Percentages are commonly used in everyday life. When you pay for something, whether it is a product or a service, percents are almost always involved.

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Qtr. 3 Interim Review

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  1. Qtr. 3 Interim Review Unit #1 Percents, Decimals and Fractions

  2. Using Percents in the Real World Percentages are commonly used in everyday life. When you pay for something, whether it is a product or a service, percents are almost always involved. Most often percents are used to calculate discounts, tips, and sales tax.

  3. Basic Skill Percent x Number 70% x $30.00 (.7) x 30

  4. Discounts Pay Less!

  5. American Eagle is having a 10% off sale. If Chandler wants to buy a sweater whose regular price is $30.50, about how much will she pay for the sweater after the discount? Step 1: Find 10% of 30.50 30.50(.10) = 3.50 Discount = $3.05 Step 2: subtract discount from original price. 30.50 – 3.05 = 27.45

  6. Sales Tax Pay More!

  7. Ellyis buying a dog bed for $40.00. The sales tax rate is 7%. About how much will the total cost of the dog bed be? Step 1: Find 7% of 40.00 40(.07)=2.80 Step 2: Add to total bill to find the amount he paid! 40 + 2.80 = $42.80

  8. Tips Pay More!

  9. Joseph’s dinner bill from Longhorns is $17.85. He wants to leave a tip that is 15% of the bill. About how much should his tip be? How much will he have to pay total? Step 1: Find 15% of 17.85 17.85(.15) = 2.68 Step 2: Add to total bill to find the amount he paid 2.68 + 17.85 = $20.83

  10. Problem #1 About how much do you save if a book whose regular price is $25.00 and is on sale for 10% off?

  11. Problem #2 Julie gets a 15% discount on all of the items in the clothing store where she works. If she buys a shirt that regularly costs $44.99, how much money will she save with her employee discount?

  12. Problem #3 A bead store has a sign that reads “20% off the regular price.” If Janice wants to buy beads that regularly cost $6.00,how much will she pay for them after the store’s discount?

  13. Problem #4 At Paint City, a gallon of paint with a regular price of $17.99 is now 15% off. At Giant Hardware, the same paint usually costs $21.99, but is now 20% off. Which store is offering the better deal?

  14. What is a percent? • A percent is a ratio…how many times out of a hundered 45 percent means 45 out of 100 possible times! 45 = 45 % 100

  15. Percents to Fractions Conversion 1

  16. Percentages can be written as a fraction by simply placing them over 100!

  17. 30 % 40 % 12 % 99 % 101 % 3/10 2/5 3/25 99/100 1 1/100 Write these percents as fractions. Be sure to simplify 

  18. Dude… That was easy

  19. Percents to Decimals Conversion 2

  20. Steps • Since I can put all percents over a hundred then all I need to do is write the equivalent decimal. • Move your decimal place over to the LEFT twice! 20 = 0.20 20 % = 100

  21. 12 % 8 % 75 % 48 % 120 % 0.12 0.08 0.75 0.48 1.20 You try…Percent to Decimal

  22. Fractions to Percents Conversion 3

  23. Setting it up Set up a ratio!!!

  24. What percent is 5/40? 40 · P = 5 · 100 40P = 500 5 P = 500 = 12.5 % 40 100 40

  25. 4/100 2/5 3/4 2/3 2 1/2 4 % 40 % 75 % 66.6 % 250 % Your turn…

  26. Decimals to Fractions Conversion 4

  27. Steps Whatever place value the fraction ends in is your DENOMINATOR Make sure to simplify! From here you can go easily into PERCENTS!!!! Why is that?

  28. 43 43 % 0.43 = = 100 10P = 300 3 P 0.3 = = 300 10 100 10 P = 30 %

  29. Complete Table

  30. Unit #2 Scale Factor

  31. Matching sides of two or more polygons are called corresponding sides Matching angles are called corresponding angles.

  32. Similar figures have the same shape but not necessarily the same size.

  33. Finding missing angles Hint: Remember angles are the same in corresponding angles! What is angle D? <D

  34. The two triangles are similar. Find the missing length y 111 100 ___ ____ y 200 Finding Missing lengths Write a proportion using corresponding side lengths. = 200 • 111= 100 •y The cross products are equal.

  35. 22,200 100y ______ ____ 100 100 22,200= 100y y is multiplied by 100. Divide both sides by 100 to undo the multiplication. = 222 mm= y

  36. Scale Factor

  37. The Recipe • Scale Factor • a rate of change for corresponding sides • one side will be given, and it will change into its corresponding side • given side turns into resulting side • written as a ratio in this form:

  38. Indirect Measurement Indirect Measurement uses similar figures and proportions to find height of objects you cannot measure directly

  39. Word Problems Underline the question Set up your answer Draw it out Find the similar shapes in your drawing (triangles) Use similar figures and proportions to solve your problem!!!!

  40. A tree casts a shadow that is 7 ft. lawn. Ken, who is 6 ft tall, is standing next to the tree. Kens has a 2-foot long shadow. How tall is the tree? Step 1: underline the question Step 2: Set up your answer: The tree is __________tall.

  41. Step 3: Draw it out Step 4: Find the triangles

  42. 2 42 6 2h ___ ___ __ __ h 2 7 2 Step 5: Proportions Write a proportion using corresponding sides. = h•2= 6 • 7 The cross products are equal. 2h= 42 h is multiplied by 2. Divide both sides by 2 to undo multiplication. = h = 21 The tree is 21 feet tall.

  43. Example #2 Rockets

  44. A rocket casts a shadow that is 91.5 feet long. A 4-foot model rocket casts a shadow that is 3 feet long. How tall is the rocket? Step 1: underline the question Step 2: Set up your answer: The Rocket is __________tall.

  45. Step 3: Draw it out Step 4: Find the triangles

  46. 91.5 3h h 366 ___ ___ __ ____ 4 3 3 3 Step 5: Proportions Write a proportion using corresponding sides. = 4 • 91.5= h• 3 The cross products are equal. 366= 3h h is multiplied by 3. Divide both sides by 3 to undo multiplication. = 122 = h The rocket is 122 feet tall.

  47. Scale The map shown is a scale drawing. A scale drawingis a drawing of a real object that is proportionally smaller or larger than the real object. In other words, measurements on a scale drawing are in proportion to the measurements of the real object.

  48. Is it set up right?Why or why not? 1. The scale on the map is 3 cm: 10 m. On the map the distance between two cities is 40 cm. What is the actual distance? 2. The scale on the map is 10 in: 50. On the map the distance between two schools is 30 in. What is the actual distance? NO Yes

  49. 20 in. 4 in. 4x 20 _____ ____ ___ ___ 1 mi 4 4 x mi The scale on a map is 4 in: 1 mi. On the map, the distance between two towns is 20 in. What is the actual distance? Write a proportion using the scale. Let x be the actual number of miles between the two towns. = 1 • 20= 4 •x The cross products are equal. 20= 4x x is multiplied by 4. = Divide both sides by 4 to undo multiplication. 5 = x 5 miles

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