2. Math Maniacs! $100 Ordering & Comparing Equivalents Adding & Subtracting Using Manipulatives Story Problems $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 Final Question…! Final Question…! B&P I

3. Ordering & Comparing - $100 Compare the fractions by inserting the correct sign:, =. Explain… Compare the fractions by inserting the correct sign:, =. Explain… 8/12 ___ 3/4 Use 12 as the common denominator. Use 12 as the common denominator. 3/4 x 3/3 = 9/12 3/4 x 3/3 = 9/12 8/12 < 9/12 8/12 < 9/12 8/12 < 3/4 8/12 < 3/4

4. Ordering & Comparing - $200 Place in order from least to greatest… Explain. Place in order from least to greatest… Explain. 2/3, 7/9, 3/7 Use estimation skills to start. Use estimation skills to start. 3/7…3 is less than half of seven. 3/7…3 is less than half of seven. 2/3 is.66 which is over half. 2/3 is.66 which is over half. 3/7, 2/3, 7/9 3/7, 2/3, 7/9

5. Ordering & Comparing - $300 Order these numbers from least to greatest… Explain. Order these numbers from least to greatest… Explain. 1 and 7/10, 24/15, 34/20 Turn all into mixed or improper fractions. Turn all into mixed or improper fractions. Notice the denominators are all multiples of 5.. Notice the denominators are all multiples of 5.. 24/15, 34/20, 1 and 7/10 24/15, 34/20, 1 and 7/10 24/15, 1 and 7/10, 34/20 24/15, 1 and 7/10, 34/20

6. Ordering & Comparing - $400 Find 2 fractions between 4/7 and 5/7. Find 2 fractions between 4/7 and 5/7. Hint: Multiply each by 3/3 or by 5/5 or by…. Hint: Multiply each by 3/3 or by 5/5 or by…. Answers will vary.. Answers will vary..

7. Ordering & Comparing - $500 For each set of fractions, insert the correct sign:, or =. Explain. For each set of fractions, insert the correct sign:, or =. Explain. a. 2/3 ___ 5/6b..35 ___ 7/20 c. 9/10 ___ 8/9d. 125% ___ 20/15 a. 2/3 < 5/6b..35 = 7/20 a. 2/3 < 5/6b..35 = 7/20 c. 9/10 > 8/9d. 125% 8/9d. 125% < 20/15

8. Equivalents - $100 Compute the equivalent mixed fraction or improper fraction for each number. Compute the equivalent mixed fraction or improper fraction for each number. a. 32/20b. 3 and 11/12 a. 1 and 12/20… 1 and 6/10… 1 and 3/5 a. 1 and 12/20… 1 and 6/10… 1 and 3/5 b. 47/12 b. 47/12

9. Equivalents - $200 Give the fraction, decimal, and percent equivalent to 0.05 Give the fraction, decimal, and percent equivalent to 0.05 Fraction - 5/100 or 1/20 Fraction - 5/100 or 1/20 Percent – 5% Percent – 5%

10. Equivalents - $300 Write each fraction as a decimal. Write each fraction as a decimal. a. 2 and 7/100b. 7/8c. 21/30 a. 2.07 a. 2.07 b. 0.875 b. 0.875 c. 0. 7 or 0.70 c. 0. 7 or 0.70

11. Equivalents - $400 Which of the following is not equivalent to 12/20? Explain. Which of the following is not equivalent to 12/20? Explain. a. 36/60b. 3/4c. 6/10d. 9/15 3/4 is not equivalent to 12/20. 3/4 is not equivalent to 12/20.

12. Equivalents - $500 Complete the table. Complete the table. FractionDecimalPercent 3/20.09 45% 2.05 FractionDecimalPercent 3/20.1515% 9/100.099% 9/20.4545% 205/1002.05205%

13. Adding & Subtracting - $100 Solve. Solve. 5/12 + 3/12 = Don’t forget to give your answer in its simplest form! Don’t forget to give your answer in its simplest form! 5/12 + 3/12 = 8/12 = 4/6 = 2/3 5/12 + 3/12 = 8/12 = 4/6 = 2/3

14. Adding & Subtracting - $200 Solve. Explain. Solve. Explain. 2 and 2/3 - 5/6 = Convert the mixed into an improper fraction first!... 2 and 2/3 = 8/3. Convert the mixed into an improper fraction first!... 2 and 2/3 = 8/3. Then find a common denominator.. Then find a common denominator.. 16/6 – 5/6 = 11/6 16/6 – 5/6 = 11/6 11/6 = 1 and 5/6 11/6 = 1 and 5/6

15. Adding & Subtracting - $300 Solve. Explain. Solve. Explain. 1/4 + 1/6 + 1/12 = Find a common denominator for all 3 fractions Find a common denominator for all 3 fractions 1/4 = 3/12, 1/6 = 2/12… 1/4 = 3/12, 1/6 = 2/12… 3/12 + 2/12 = 1/12 = 6/12 = 1/2 3/12 + 2/12 = 1/12 = 6/12 = 1/2

16. Adding & Subtracting - $400 Solve. Explain. Solve. Explain. 3.8 – (2 and 1/5) = Determine if changing to fraction or decimal.. Determine if changing to fraction or decimal.. Decimal might be easier because of 1/5. Decimal might be easier because of 1/5. 3.8 – 2.2 = 3.8 – 2.2 = 1.6 1.6

17. Adding & Subtracting - $500 Solve. Explain. Solve. Explain. 14.3 – 3.05 – 9/10 = Change 9/10 to a decimal. Change 9/10 to a decimal. Place zeroes on the end of numbers to even up place value.. Place zeroes on the end of numbers to even up place value.. Rewrite the equation vertically. Rewrite the equation vertically. 10.35 10.35

18. Using Manipulatives - $100 Make a rectangle and shade in 2/5. Make a rectangle and shade in 2/5. Coaching table will demonstrate. Coaching table will demonstrate.

19. Using Manipulatives - $200 Make a circle and divide it into 5 equal parts. Now shade in 40% of it. Make a circle and divide it into 5 equal parts. Now shade in 40% of it. Coaching table will demonstrate. Coaching table will demonstrate.

20. Using Manipulatives - $300 Using a hundreds grid, shade in 1/8th of the grid. What is 1/8th represented as a decimal and as a percent? Using a hundreds grid, shade in 1/8th of the grid. What is 1/8th represented as a decimal and as a percent? Coaching table will demonstrate. Coaching table will demonstrate.

21. Using Manipulatives - $400 Use the pan method to demonstrate Use the pan method to demonstrate 3/4 x 1/2 Coaching Table will demonstrate. Coaching Table will demonstrate.

22. Using Manipulatives - $500 Use the pan method to solve… Use the pan method to solve… 2/3 x 3/4 = ? Coaching Table will verify answers. Coaching Table will verify answers.

23. Story Problems - $100 Which is the greater value? Explain. Which is the greater value? Explain. 1/4 of 12 or 2/9 of 18? 1/4 of 12 = 3 1/4 of 12 = 3 2/9 of 18 = 4… 2/9 of 18 is the greater value. 2/9 of 18 = 4… 2/9 of 18 is the greater value.

24. Story Problems - $200 The coach had to choose between three players to shoot free-throws. In pre-game warm ups they shot… Who should he choose? Explain. The coach had to choose between three players to shoot free-throws. In pre-game warm ups they shot… Who should he choose? Explain. Markiece – 12 out of 15Adam – 7 out of 10 Avery – 15 out of 20Luis – 39 out of 50 Markiece! Markiece!

25. Story Problems - $300 Which quiz got the best score?... Explain. Which quiz got the best score?... Explain. a. 15 pts. out of 25b. 8 pts. out of 14 c. 25 pts. out of 45 d. 150 pts. out of 250 Answers a or d! They both equal 60%. Answers a or d! They both equal 60%.

26. Story Problems - $400 If 120 out of 300 seventh-graders surveyed said math is their favorite subject, how would you express that as a fraction? As a decimal? As a percent? If 120 out of 300 seventh-graders surveyed said math is their favorite subject, how would you express that as a fraction? As a decimal? As a percent? 120/300 = 12/30 = 4/10 120/300 = 12/30 = 4/10.40.40 40% 40%

27. Story Problems - $500 Michael decided to make French toast for himself and his four family members. He found a recipe that calls for: Michael decided to make French toast for himself and his four family members. He found a recipe that calls for: 8 slices of bread 4 eggs1 cup of milk1 tsp. of cinnamon If he makes a single recipe and shares the food equally with his family, how much French toast will each person receive? If he makes a single recipe and shares the food equally with his family, how much French toast will each person receive? How much egg will each person have in their French toast? How much egg will each person have in their French toast? Each family member will get 8/5ths pieces of French toast or 1 and 3/5ths. Each family member will get 8/5ths pieces of French toast or 1 and 3/5ths. Each person will have 4/5ths of an egg in their French toast. Each person will have 4/5ths of an egg in their French toast.

28. Final Question… Explain the relationship between fractions, decimals and percents. Use an example to make your point. Explain the relationship between fractions, decimals and percents. Use an example to make your point. Answers will vary… Cross-check answers with the Coaching Table! Answers will vary… Cross-check answers with the Coaching Table!