Determine the Greatest Common Factor: You try: Find the Greatest Common Factor: 40 and and 90. All factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

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Determine the Greatest Common Factor: Prime Factor Method 4 96 4 8 2 2 2 2 5 2 2 2 4 3 4 and 96 List Method All factors of 4:, 2, 4, 5, 8,, 2, 4 You try: Find the Greatest Common Factor: 75 and 9 2 2

1 Determine the Greatest Common Factor: Prime Factor Method and 96 List Method All factors of 4:, 2, 4, 5, 8,, 2, 4 You try: Find the Greatest Common Factor: 75 and The Greatest Common Factor is the product of the primes that are in both numbers. GCF(4,96) All factors of 96:, 2, 3, 4, 6, 8, 2, 6, 24, 32, 48, 96 Common Factors:, 2, 4, 8 The Greatest Common Factor is the largest number that appears in both lists. GCF(4,96) 8 ஃ The Greatest Common Factor of 4 and 96 is 8. 2 Determine the Least Common Multiple: 24 and You try: Find the Least Common Multiple: 8 and 42 LCM ஃ The Least Common Multiple of 24 and 36 is 72. Page of MCC@WCCUSD (AUSD) 2/2/5

2 3 Simplify: a Traditional Place Value Decomposition 3 You try: Simplify: a b Open Number line What is the difference between 2.3 and 4.7? > total 7.6 b NS. 4 Find the product of four different ways. 4 You try: Find the product of two different ways. Convert to Fraction Partial Products ( ) ( ) ( ) ( ) Traditional Area Model Using A Generic Rectangle NS.3 Page 2 of MCC@WCCUSD (AUSD) 2/2/5

3 5 Find the quotient three different ways Traditional Partial Convert to a Quotients Fraction 5 You try: Find the quotient NS.2 6 Divide: a Partial Quotients Traditional 6 You try: Divide: a b b NS.7D Page 3 of MCC@WCCUSD (AUSD) 2/2/5

4 7 Divide: Estimate first: About how many groups of.2 are in 33.6? Round.2 to.2, and 33.6 down to 3.. Thinking about money, I ask how many groups of 2 cents are in 3 dollars. That would be 5. So my answer must be around 5. Traditional multiply both divisor and dividend by to move the decimal two place values to the right 7 You try: Divide: NS.3 8 What is a unit rate? Answer: A unit rate is a rate that is simplified so that it has a denominator of one unit. Which of the following are unit rates? Select Yes or No for each.. Bananas cost $.2 per pound. 2. I made $5 for 2 hours of work. 3. The car traveled 65 mph. 4. For every 6 cats at the Animal Shelter, there are 2 dogs. 8 You try: What is a unit rate? Write the definition. Then, make up and write at least two unit rates of your own. Include one about money, and one about distance. Answers:. Yes, it is units per one pound 2. No, the rate is given in two hours 3. Yes, 65 mph means 65 miles in one hour 4. No, there are six cats and two dogs. 6.NS.6 Page 4 of MCC@WCCUSD (AUSD) 2/2/5

5 9 Bobby is helping collect money for the basketball team. The team decided to sell sweatshirts. When they sold 2 sweatshirts they earned $3. 9 You try: Alana is helping to raise money for her leadership class. The class decided to sell bobble heads of the P.E. teachers. When they sold 2 bobble heads they earned $24. a) Fill in the ratio table for the missing values. Number of $Money sweatshirts earned 2 $3?? $75 3?? Missing Values: $5, 5, $45, $5 b) What is the unit price for the sweatshirts? Answer: Each sweatshirt was sold for $5. a) Fill in the ratio table for the missing values. Number of $ bobble Money heads earned 2 $24 3 $2 b) What is the unit price for the bobble heads? c) Label your axis. Then, plot the five points on the coordinate below. c) Label your axis. Then, plot the five points on the coordinate below Money Earned Number of Sweatshirts 6.EE.3 Page 5 of MCC@WCCUSD (AUSD) 2/2/5

6 Solve the percent problems: You try: Solve the percent problems: a. What is 2% of 3? a. What is 3% of 4? Reasoning with % 2% of 3 is the same as % of 3 + % of 3 I know % of 3 is 3. Therefore, represents 2% and that equals 6. Direct Translation x is 2% of 3 2 x 3 2 x x x 6 b. 28 is 35% of what number? 28? b. is 22% of what number? % 35% 5% %!"?!"!"" ? 4 5? 5 times 2 makes. So, I know multiplying 4 and 2 keeps it equivalent. Therefore, 28 is 35% of 8. c. 68 is what percent of 272? x x 4 x x 25 x c. 5 is what percent of 9? ஃ 68 is 25% of RP.3c 6. RP.3c Page 6 of MCC@WCCUSD (AUSD) 2/2/5

7 Read the ratio relationship and write 3 true statements that can be made using the relationship. The ratio of buttons to sweaters at the clothing factory is 8:3.. Each sweater needs 6 buttons. 2. sweaters would need 6 buttons. 3. For every 8 buttons there are 3 sweaters. You try: Read the ratio relationship and write 3 true statements that can be made using the relationship. The ratio of legs to trunks in the Elephant area at the zoo is 4:. 6.EE. 2 Read the problem, show your work neatly and explain how you got the answer. It took 8 hours to clean 5 busses. If busses are cleaned at the same rate, how many busses can be cleaned in 56 hours? Number of busses Time in hours You try: Read the problem, show your work neatly and explain how you got the answer. It took 4 hours to wash 4 cars. If cars continue to be washed at the same rate, how many cars could be washed in 48 hours? Using the table I reasoned that cleaning busses would take 6 hours. Then, I noticed that every 8 hours the number of busses cleaned increased by 5. Because 56 divided by 8 is 7, then 7 times 5 gives me the answer of busses can be cleaned in 56 hours. 6.RP.3b 3 Gecko Mart offers 2 bags of 3 crickets for $6.48. Forest Friends also sells crickets. They are selling 5 bags of 3 crickets for $6.6. Which store has the better price? 3 You try: The cost of 4 pedicures is $24.8 at Quick Clips. The cost of 5 pedicures is $3.5 at Fancy Feet. Which store has the better price for pedicures? Gecko Mart $ bags crickets $3.24 bag crickets Forest Friends $6.6 5 bags crickets $3.32 bag crickets Gecko Mart has the better price for crickets. It is $.8 cheaper per bag. 6.RP.3a End of Study Guide Page 7 of MCC@WCCUSD (AUSD) 2/2/5

8 You Try Solutions: Determine the Greatest Common Factor: Prime Factor Method and 9 3 You try: Simplify: a Partial Sums The Greatest Common Factor is the product of the primes that are in both numbers. GCF(75,9) 3 5 GCF(75,9) 5 b The Greatest Common Factor of 75 and 9 is 5. You try: Determine the LCM of 8 and 42. Use Bubble Method: You try: Find the product of: two different ways. Convert to Fraction Partial Products (.2.2) (.2.4) (.2 2.) (.2) (.4) ( 2) ஃ The Least Common Multiple of 8 and 42 is 26. Page 8 of MCC@WCCUSD (AUSD) 2/2/5

9 5 6 You try: Find the quotient Partial Convert to a Tradition Quotients Fraction You try: Divide: a You try: Divide: multiply both divisor and dividend by to move the decimal two place values to the right ஃ The number repeats. You try: What is a unit rate? Write the definition. Then, make up and write at least two unit rates of your own. Include one about money, and one about distance. What is a unit rate? Answer: A unit rate is a rate that is simplified so that it has a denominator of unit. The macaroni and cheese cost $..25 per ounce. b I ride my bike 4 miles per hour Page 9 of MCC@WCCUSD (AUSD) 2/2/5

10 9 You try: Alana is helping to raise money for her leadership class. The class decided to sell bobble heads of the P.E. teachers. When they sold 2 bobble heads they earned $24. a) Fill in the ratio table for the missing values. Number of $ bobble Money heads earned 2 $24 Money Earned 6 $ b) What is the unit price for the bobble heads? Answer: Each bobble head was $2. c) Label your axis. Then, plot the five points on the coordinate below Number of Bobble Heads You try: Solve the percent problems: a. What is 3% of 4? 3% of 4 (% + % + %) of ஃ 2 is 3% of 4 b. is 22% of what number? is 22% of x 22 x 22x x 5 x 5 x5 ஃ is 22% of 5. c. 5 is what percent of 9? 5 x x x 6 x.6 x.6() () 6.6 x ஃ5 is 6.6% of 9. Page of MCC@WCCUSD (AUSD) 2/2/5

11 You try: Read the ratio relationship and write 3 true statements that can be made using the relationship. The ratio of legs to trunks in the Elephant area at the zoo is 4:. 3 You try: The cost of 4 pedicures is $24.8 at Quick Clips. The cost of 5 pedicures is $3.5 at Fancy Feet. Which store has the better price for pedicures? Quick Clips Fancy Feet. For every 4 legs there is one trunk. 2. If there are 3 elephant trunks, then there are 2 legs. 3. Each elephant trunk has 4 legs. $ pedicures $6.2 pedicure $3.5 5 pedicures $6. pedicure 2 Your try: Read the problem, show your work neatly and explain how you got the answer. It took 4 hours to wash 4 cars. If cars continue to be washed at the same rate, how many cars could be washed in 48 hours? Fancy Feet has the better price for pedicures. It is $. cheaper per pedicure. Number of cars Time in hours Using the table I reasoned that washing cars for 4 hours would be times as many cars, or 4 cars. I also noticed that 8 hours would be twice as many cars, which is 28 cars. So, adding 4 and 28 is the number of cars that can be washed in 48 hours. 68 cars can be washed in 48 hours. Page of MCC@WCCUSD (AUSD) 2/2/5

A C E. Answers Investigation 3. Applications = 0.42 = = = = ,440 = = 42

A C E. Answers Investigation 3. Applications = 0.42 = = = = ,440 = = 42 Answers Investigation Applications 1. a. 0. 1.4 b. 1.2.54 1.04 0.6 14 42 0.42 0 12 54 4248 4.248 0 1,000 4 6 624 0.624 0 1,000 22 45,440 d. 2.2 0.45 0 1,000.440.44 e. 0.54 1.2 54 12 648 0.648 0 1,000 2,52