Lessons 7680.notebook January 24, 2013 Investigation 10 - 20 points 1. 2. 3. 4. 5. 6. 1/2 x 1/3 = 1/4 x 2/3 = 1/4 x 1/3 = 1/4 x 2/3 = 1/4 x 1/3 = 12/12 or 1 1/6 1/6 1/12 1/6 1/12 9. P(w,w,w) = 0 P(g,g,g) = 1/5 e. 10. 7. f. 1/12 11. H,H 8. g,w w,g w,w sum 4/15 4/15 1/15 15/15 or 1 H,T T,H T,T 1/4 1/4 1/4 1/4 Lesson 76 - compare fractions by converting to decimal form Example 1: Compare these fractions by converting to decimal form Example 2: Compare using decimals Lessons 7680.notebook January 24, 2013 Practice: Compare using decimal numbers a) b) c) d) e) f) Lesson 78 - Identify and convert units of capacity US Customary System 1 gallon = 4 quarts 1 quart = 2 pints 1 pint = 2 cups 1 cup = 8 ounces Metric System 1 liter = 1000 milliliters The capacity of a 2-liter bottle is a little MORE than the capacity of a 1/2-gallon container > Lessons 7680.notebook January 24, 2013 Example 1: A half gallon of milk is how many pints of milk? Example 2: Which has the greater capacity, a 12-ounce soda pop or a 1-pint container? Practice: a) What fraction of a gallon is a quart? b) A 2-liter soda pop bottle has a capacity of how many milliliters? c) A half gallon of orange juice will fill how many 8-ounce cups? d) The entire contents of a full 2-liter bottle are poured into an empty half-gallon carton. Will the half-gallon container overflow? Lessons 7680.notebook January 24, 2013 Lesson 78 - 24 points 12.) 13.) 14.) 15.) 16.) 17.) 18.) 19.) a) > b) > 1/3 75 2 4 9/16 1 7/9 or 16/9 a) 2 in. b) 1/4 in.2 20.) True 21.) 26 22.) 1.36 23.) 30 inches 24.) C 25.) should not have more than 2 right angles 26.) 22 x 32 x 52 27.) 28.) 29.) 30.) (-1,3) a) 1/3 b) 16 cups B. quart 16 ounces Lesson 77 - Finding unstated information in fraction problems Example: Diagram this statement. Then answer the questions. Three fourths of the 28 students in the class are boys. a) Into how many parts in the class divided? b) How many students are in each part? c) How many parts are boys? d) How many boys are in the class? e) How many parts are girls? f) How many girls are in the class? Lessons 7680.notebook January 24, 2013 Practice: Diagram this statement. Then answer the questions. Three eighths of the 40 little engines could climb the hill. a) Into how many parts was the group divided? b) How many engines were in each part? c) How many parts could climb the hill? d) How many engines could climb the hill? e) How many parts could not climb the hill? f) How many engines could not climb the hill? Fact Test Practice: Change the following decimals to REDUCED fractions or mixed numbers: 1) 0.15 2) 2.4 3) 1.375 4) 9.02 5) 0.005 6) 0.625 Lessons 7680.notebook January 24, 2013 More Fact Test Practice: Change the following fractions and mixed numbers to decimals: 7) 3/8 8) 3 3/10 9) 2/5 10) 11 1/8 11) 5 1/4 12) 7/8 More Fact Test Practice: Change each decimal or fraction to a percent: 13) 0.32 14) 0.01 15) 0.045 16) 0.8 17) 3/4 18) 7/10 19) 4/5 20) 7/20 Lessons 7680.notebook January 24, 2013 More Fact Test Practice: Change each decimal or fraction to a percent: 13) 0.32 14) 0.01 15) 0.045 16) 0.8 17) 3/4 18) 7/10 19) 4/5 20) 7/20 Lesson 77 - 24 points 1. 5 parts 2. 5 members 3. 2 parts 4. 10 members 5. 3 parts 6. 15 members 7. 6 parts 8. 50 members 9. 5 parts 10. 250 members 11. 1 part 12. 50 members 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 10 parts $600 3 parts $1800 7 parts $4200 100 parts 8 students 27 parts 216 students 73 parts 584 students Lessons 7680.notebook January 24, 2013 Lesson 79 - 37 points 1. share? 2. > 3. 71 years 4. (a) false 5. (a) 10% 6. (a) 3/4 7. 120 mm2 8. 10 9. 27.12 10. 0.144 11. 800 12. 1/2 13. 5/6 14. 0.13 15. 0.012 16. 6 1/12 17. 7/12 old (b) true (b) 27 students (c) 1/9 (b) 1/4 (c) 25% 18. 400 sq. cm 19. 96.03 20. 62.8 cm 1. 24 cm2 2. 16 cm2 3. 10 in.2 4. 6 in.2 5. 60 mm2 6. 8 ft2 7. 24 cm2 8. 25 in.2 9. 20 mm2 10. 24 mm2 11. 39 m2 12. 45 cm2 Lesson 80 - finding scale factor to solve ratio problems The ratio of boys to girls in the class was 3 to 2. If there were 6 girls, how many boys were there? Ratio Box: Ratio Actual 3 2 6 What factor takes us from 2 to 6? This is the SCALE FACTOR. Lessons 7680.notebook January 24, 2013 Lesson 80 - finding scale factor to solve ratio problems The ratio of flowers to weeds in the garden was 2 to 5. If there were 30 flowers in the garden, how many weeds were there? Ratio Box: Ratio Actual SCALE FACTOR? Practice: 1) The ratio of boys to girls in the cafeteria was 6 to 5. If there were 60 girls, how many boys were there? Ratio Box: Ratio Actual SCALE FACTOR? 2) The ratio of ants to flies at the picnic was 8 to 3. If there were 24 flies, how many ants were there? Ratio Box: Ratio SCALE FACTOR? Actual Lessons 7680.notebook January 24, 2013 Lesson 80 - 25 points 4. (a) 16 in. (b) 12 in.2 5. (a) 12 in. (b) 6 in.2 6. trapezoid 7. true 8. 6 students 9. 25 cats 10. (a) 95% (b) 60% 11. 25% 12. < 13. 4 2/5 or 22/5 14. 0.125 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 1 1/3 or 4/3 3/8 2 1.4 1/2 or 0.5 0.072 70 0.43 35 grams 20 grams Share? Lesson 79 - 37 points 1. share? 2. > 3. 71 years 4. (a) false 5. (a) 10% 6. (a) 3/4 7. 120 mm2 8. 10 9. 27.12 10. 0.144 11. 800 12. 1/2 13. 5/6 14. 0.13 15. 0.012 16. 6 1/12 17. 7/12 old (b) true (b) 27 students (c) 1/9 (b) 1/4 (c) 25% 18. 400 sq. cm 19. 96.03 20. 62.8 cm 1. 24 cm2 2. 16 cm2 3. 10 in.2 4. 6 in.2 5. 60 mm2 6. 8 ft2 7. 24 cm2 8. 25 in.2 9. 20 mm2 10. 24 mm2 11. 39 m2 12. 45 cm2

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