5-16-13 EOG Review Day #4 Percents

1. Get your calculator. 5-16-13 EOG Review Day #4 Percents OBJECTIVE: Analyze proportional relationships and use them to solve real-world and mathematical problems. - 1 c

2. Check homework from textbook. Collect “Daffynition Decoder” Make sure you have turned in Probability handout with drawing.

4. DRAW IN NOTEBOOK FRACTION TO DECIMAL TO PERCENT F ÷ _%_ 100 P D X 100

5. Example FRACTION TO DECIMAL TO PERCENT F 0.75 ÷ 4 3.00 _%_ 100 P D .75 75% X 100

6. 2 3 1 3 33 % 66 % 1 10 Benchmark Percents can help you estimate! You can use fractions to estimate the percent of a number by choosing a fraction that is close to a given percent. Another way to estimate percents is to find 1% or 10% of a number. You can do this by moving the decimal point in the number. Common percents & their fraction equivalents: 10% 20% 25% 50% 1 4 2 3 1 5 1 3 1 2

7. To find percent of a number, write and solve a proportion. You can also find the percent of a number by using decimal equivalents.

8. Graphic Organizer for percent problems using proportions. Fold paper to make two doors. IS OF %_ 100 =

9. PERCENT WHOLE PART How can you rearrange the equation to solve for each variable?

10. PART ÷ Percent Whole X

11. 6-3 Percent of a Number Course 2 Example 1: Find the percent of each number. A. 30% of 50 30 100 n 50 = Write a proportion. Set the cross products equal. 30 · 50 = 100 · n PERCENT WHOLE 1,500 = 100n Multiply. 1,500 100n Divide each side by 100 to isolate the variable. = FIND THE PART 100 100 15 = n 30% of 50 is 15. Workbook page 51

12. SOLVE What is 20% of 80? Find the part. 16 is what percent of 80? Find the percent. What is 20% of what number is 16? Find the whole.

17. PERCENT OF INCREASE MAKE 3 DOORS PERCENT OF CHANGE PERCENT OF DECREASE

18. If the original amount goes up, it is a percent of increase Find the % of increase From 100 to 114 The percent of change is the amount, stated as a percent, that a number increases or decreases from the original amount. Amount of change Original amount % of change = If the original amount goes down, it is a percent of decrease Find the % of decrease From 1,500 to 1,416

19. The following slides are percent problems that we will solve with using an equation. Make a table like the one below. We will fill in as we go.

20. EXIT TICKET Quick draw Solve all problems and turn your paper in for a quiz grade as an exit ticket.

21. Percent Equations • What form should all percent equations follow? _________ X _________ = _________ *Percent must be in decimal form Percent* Whole Part

22. Percent Equations • 12 is 40% of what number? _________ X _________ = _________ 0.4 Part 12 Percent Whole x ÷ 0.4 ÷ 0.4

23. Percent Equations • 54 is what percent of 90? _________ X _________ = _________ Percent Whole Part x 90 54 ÷ 90 ÷ 90 60%

24. Percent Equations • 15% of what number is 18? _________ X _________ = _________ Percent Whole x Part 18 0.15 ÷ 0.15 ÷ 0.15

25. Percent Equations • What percent of 110 is 88? _________ X _________ = _________ Percent x Whole 88 Part 110 ÷ 110 ÷ 110 80%

26. Percent Equations • 5% of 120 is what number? _________ X _________ = _________ Whole x Part 0.05 Percent 120

27. Percent Equations • 12 is what percent of 150? _________ X _________ = _________ Percent x Whole Part 12 150 ÷ 150 ÷ 150 8%

28. Percent Equations • What is 6% of 400? _________ X _________ = _________ Percent Part x 400 Whole 0.06

29. Percent Equations • What is 110% of 50? _________ X _________ = _________ Whole Part x Percent 1.10 50

30. Solve the following problems with an equation and with a tape diagram. You may work with a partner. A sweater is marked down 33% off the original price. The original price was $37.50. What was the sale price of the sweater before tax? 2. A shirt is on sale for 40% off. The sale price is $12. What was the original price? What was the amount of the discount? 3. A salesperson set a goal to earn $2,000 in May. He receives a base salary of $500 per month as well as a 10% commission for all sales in that month. How much merchandise will he have to sell to meet his goal? 33% of $37.50 = $12.38 The sale price is 60% of the original cost. 12 ÷ 60% = $20 $500 + (10%)(sales) = $2,000 sales = $15,000

31. 4. After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. How much is the tip Mr. Jackson leaves for the waiter? How much will the total bill be, including tax and tip? Express your solution as a multiple of the bill. 5. Stephanie paid $9.18 for a pair of earrings. This amount includes a tax of 8%. What was the cost of the item before tax? Tip 20% of $52.50 = $10.44 Tax 8% of $52.50 = $4.20 Bill + Tip + Tax = Total Bill $52.50 + $10.44 + $ 4.20 = $67.14 Earrings + Tax = $9.18 108% of some number = $9.18 $8.50 is the cost of the item before tax

32. Focus Lesson Day 51 1. Find the change in fund raising that has gone from $400 last year to $650 this year.

33. 2. Find the change in fund raising that has gone from $400 last year to $350 this year.

34. 3. David is 11 years old and growing quickly. In 6 months he has grown from 5’4” to 5’8” tall. Find the percent of increase in David’s height in the last 6 months.

35. Homework: HANDOUT