CAMMP 1999



CAMMP 2002

College of Education

Reading and Elementary Education

DAY 1

Names: Mary, Sue, Gigi

Integrated, Thematic Problem Solving Unit: Mystery of the Water War

Grade Level: 5th

Arithmetic Topic (operation): Fractions

HIERARCHY STEP # 1.

Introduce Rorange Model

Equal Parts of a Whole

Comparison

THEME PROBLEM # 1

Farmer Cropalot has 12 chickens in the flock. How would you write the fraction for 3 chickens in that flock?

Summary Table

Action Language: Comparison use with Rorange model

Open Number Sentence: N/A

Manipulative: Cuisenaire Rods

Quantitative Solution: 3/12

Referential Meaning: Chickens

CONCRETE MANIPULATIVE: Cuisenaire Rods

REPRESENTATIONAL MANIPULATIVE: N/A

TRANSITIONAL ACTIVITIES: Computer Activities









STUDENT PROBLEMS:

1. Farmer Cropalot takes 1/3 of a flock of 12 chickens to market.

Mrs. Cropalot has named ¼ of the chickens in the flock of 12, and, keeps them as pets. Is the amount of chickens that Farmer Cropalot takes to the market the same, less than, or more than amount that Mrs. Cropalot keeps as pets?

2. Slick Rick loves shrimp pizza. He eats ¼ of one whole pizza. Olivia dump loves pizza too. She eats 2/3 of the same pizza. Did Rick eat more or less than Olivia?

3. Justin Lakeland likes to fish. Every day he fills his bucket 2/6 full with worms as bait. Slick Rick likes to catch fish with bait too. He fills his bucket 1/3full with worms as bait. Is Justin’s bucket filled more, less, or equivalent to Slick Rick’s bucket?

4. Dr. Ray D. O’Active digs a hole to put his barrel of medical waste in. Mr. Glow digs a hole too. Dr. Ray D. O’Active’s puts his barrel in the hole but can cover only ½ of it with dirt. Mr. Glow put his barrel in the hole he dug and he can cover only ¼ of it with dirt. Who covers more of their barrel with dirt?

5. Gus Lermore and Eunice Toemuch love to water their grass. Gus turns on the sprinkler and leaves it on for ¾ of an hour. Eunice turns on the sprinkler for ½ an hour. Who leaves the water on longer?

6. Sue Edge uses gleam machine wax to put a special coat on every vehicle. She also uses this wax for Paul Loot’s Port-o-Potties. She uses 1/3 of the pack of wax for each car. When waxing a Port-o-Potty she uses 2/6 of the wax packet for each Port-o-Potty. Is the amount that she use on cars more, less, or equivalent to what she uses of Port-o-Potties?

7. Olivia Dump doesn’t like how Slick Rick cuts the pizza. She likes to cut the pizza in 1/3 pieces. Slick Rick either makes one cut or two cuts across the pie. Olivia is consistent. Are Olivia’s pizza slices bigger, smaller, or equivalent to Slick Rick’s two-cut Pizza Slices?

STUDENT ANSWER KEY:

1. Quantitative Meaning: More than

Referential Meaning: Amount of chickens

2. Quantitative Meaning: Less than

Referential Meaning: Eating Pizza

3. Quantitative Meaning: Equivalent

Referential Meaning: Worms as bait

4. Quantitative Meaning: ½ (Dr. Ray D. O’Active)

Referential Meaning: Covers with dirt

5. Quantitative Meaning: ¾ hr (Gus)

Referential Meaning: Leave water on longer

6. Quantitative Meaning: Equivalent

Referential Meaning: Wax packets

7. Quantitative Meaning: 1/3 is bigger (1/4) and 1/3 is smaller than 1/2

Referential Meaning: Size of pizza slices

DAY 2

Names: Mary, Sue, Gigi

Integrated, Thematic Problem Solving Unit: Mystery of the Water War

Grade Level: 5th

Arithmetic Topic (operation): Fractions

HIERARCHY STEP # 2

Addition of Fractions

Addition with Mixed Numbers

THEME PROBLEM # 1

Slick Rick noticed that his boat was leaking oil. Earlier in the morning Slick Rick used ½ of a bottle of oil to top off what the boat engine needed. Later that afternoon, he put another 1/3 of the bottle of oil into the engine. How much motor oil did Slick Rick use that day?

Summary Table

Action Language:1/3 joined with ½ is

Open Number Sentence: 1/3 + ½ =

Manipulative: Cuisenaire Rods

Quantitative Solution: 5/6

Referential Meaning: Motor Oil

CONCRETE MANIPULATIVE: Cuisenaire Rods

REPRESENTATIONAL MANIPULATIVE: Number Line

TRANSITIONAL ACTIVITIES: Least Common Denominator

Computer Activities









STUDENT PROBLEMS:

1. Olivia Dump is getting ready to use the shrimp that Slick Rick caught for the day to make her famous shrimp pizza. The customers are lining up at the dock to get dinner. Olivia uses one pound of shrimp for her pizzas each day. She puts 2/3 pounds of the fresh shrimp and 2/6 of a pound of left over shrimp from the day before on top of the pizzas. How much shrimp does she use in all?

2. Slick Rick is really hungry from the day of fishing, he asks Olivia dump to make him a pizza. She said she is hungry too. Slick Rick eats 1/3 of the pizza and Olivia Dump eats ¼ of the pizza. How much pizza did they eat in all?

3. Gus Lermore and Eunice Toomuch like to go to the lake. They both use sunscreen. Gus has uses 2/6 of the tube of sunscreen. Eunice uses 1/12 of the tube. How much of the sunscreen do they use?

4. Paul Loot and Sue Edge eat out every day. Paul Loot likes to eat 1 ½ bags of chips with his lunch. Sue eats 1/3 of a bag of chips. How many bags of potato chips do they eat in all?

STUDENT ANSWER KEY:

1. Quantitative Meaning: 1

Referential Meaning: Shrimp

2. Quantitative Meaning: 7/12

Referential Meaning: Pizza

3. Quantitative Meaning: 1/4

Referential Meaning: Sunscreen

4. Quantitative Meaning: 1 5/6

Referential Meaning: Bags of potato chips

DAY 3

Names: Mary, Sue, Gigi

Integrated, Thematic Problem Solving Unit: Mystery of the Water War

Grade Level: 5th

Arithmetic Topic (operation): Fractions

HIERARCHY STEP # 3

Take Away Subtraction

Additive Subtraction

Comparison Subtraction

THEME PROBLEM # 1

Olivia Dump wants to make a shrimp and chicken pizza. She buys a chicken from the butcher that came from Cropalot’s farm. Olivia covers 1/3 of the pizza top with a mixture of shrimp and chicken. She realizes she needs more of the shrimp and chicken for another pizza so she takes ¼ of the mixture away. How much shrimp and chicken mixture is left on the pizza?

Summary Table

Action Language: 1/3 take away ¼ is

Open Number Sentence: 1/3 – ¼ =

Manipulative: Cuisenaire Rods

Quantitative Solution: 1/12

Referential Meaning: Shrimp and chicken mixture

CONCRETE MANIPULATIVE: Cuisenaire Rods

REPRESENTATIONAL MANIPULATIVE: Number Line

TRANSITIONAL ACTIVITIES: Least Common Denominator

Computer Activities









STUDENT PROBLEMS:

1. Dr. Ray D. O’Active worked for ¼ of the day filling barrels with medical waste. He can stop for lunch when he has worked for ½ of the day. How much longer must Dr. Ray D. O’Active wait before he can take lunch?

2. Sue Edge has a busy day at the car wash. She tells Paul Loot that he is going to have to wait while she finishes cleaning all his Port-o-Potties. Sue has only cleaned 1/2 off Paul’s Potties. Paul took out a hose to try to clean some himself because he was in a hurry to get the Port-o-Potties to his clients. Paul cleaned 1/6 of the Potties. How many more Potties has sue cleaned?

3. Sue Edge likes to pamper her car wash customers. She makes sure that their cars are super clean. The instructions on the soap reads to use 1/2 bottle of soap per wash cycle. Sue Edge always puts in more. Every wash she uses 1/4 of the bottle more soap. How much more soap does Sue Edge use?

4. Farmer Cropalot notices that his heard of cows is growing. He is concerned that the grass will not grow fast enough. He had one bag of fertilizer in the barn to use. He already put ½ of the bag of fertilizer out on the field. He decides to go back out the field to add more fertilizer to give his grass a boost. He has 1/6th of a bag of fertilizer left. How much more fertilizer did Farmer Cropalot use?

STUDENT ANSWER KEY:

1. Quantitative Meaning: 1/4

Referential Meaning: Time he must wait

2. Quantitative Meaning: 1/3

Referential Meaning: Potties to be cleaned

3. Quantitative Meaning: 1/4

Referential Meaning: Bottle of soap

4. Quantitative Meaning: 1/3

Referential Meaning: Fertilizer

Day 4

Names: Mary, Sue, Gigi

Integrated, Thematic Problem Solving Unit: Mystery of the Water War

Grade Level: 5th

Arithmetic Topic (operation): Fractions

HIERARCHY STEP # 4

Multiplication

THEME PROBLEM # 1

Paul Loot stocks his Port-a-Potty with plenty of toilet paper. Each day his customers use 1/3 of a roll of paper. How much paper is used in three days? (Number line/Cuisenaire Rods)

Summary Table

Action Language: 3 sets of 1/3

Open Number Sentence: 3 x 1/3

Manipulative: Cuinsenaire Rods or Number Line

Quantitative Solution: 1

Referential Meaning: Toilet paper used

CONCRETE MANIPULATIVE: Cuisenaire Rods

REPRESENTATIONAL MANIPULATIVE: Number Line

Paper Strips

TRANSITIONAL ACTIVITIES: Computer Activities







STUDENT PROBLEMS:

1. Slick Rick needs to take his boat 12 miles out into the lake to catch the best fish. He has gone 1/3 of the distance. How much farther does he need to travel?

2. Three employees each drank 4 1/2 bottles of water during their break from work. How many total bottles did the employees drink? (Paper Strips/Cuisenaire Rods)

3. In Justin's lake, 1/2 of the fish are trout. 2/3 of the trout are spotted. What fraction of the fish in Justin's lake are spotted trout? (Cuisenaire Rods)

4. Out of all Dr. Ray's barrels of medical waste, 2/3 are the XL barrels that he got at a discount. He buried 3/4 of his XL barrels this morning before going to work. How many of his total barrels did he bury this morning before work?

5. The track at the resort is 1/6 of a mile long. Sue and Paul ride their golf cart around the track 2 and 1/2 times. How far did Sue and Paul ride their golf cart? Cuisenaire Rods/ Number Line

6. Gus Lemore has to drive around the golf course all day. Each day he clocks 20 miles on his cart. So far he has gone 4/5 of his daily distance. How many miles has Gus traveled? (Paper Strips)

7. Paul Loot drops his Port-o-Potties off all over town. He travels 17 miles on his route. He has gone 1/3 of his distance. How far has he traveled?

STUDENT ANSWER KEY:

1. Quantitative Meaning: 4

Referential Meaning: Miles

2. Quantitative Meaning: 13 1/2

Referential Meaning: Bottles of water

3. Quantitative Meaning: 1/3

Referential Meaning: Spotted trout

4. Quantitative Meaning: 1/2

Referential Meaning: Buried barrels

5. Quantitative Meaning: 16

Referential Meaning: Distance rode

6. Quantitative Meaning: 16

Referential Meaning: Miles Traveled

7. Quantitative Meaning: 5 2/3

Referential Meaning: Miles traveled

DAY 5

Names: Mary, Sue, Gigi

Integrated, Thematic Problem Solving Unit: Mystery of the Water War

Grade Level: 5th

Arithmetic Topic (operation): Fractions

HIERARCHY STEP #

Measurement Division

Partition Division

THEME PROBLEM # 1

Justin Lakeland just renovated the resort. Each room takes ½ gallon of paint. If Justin has 3 gallons of paint, how many gallons of paint will he use? (Cuisenaire rods)

Summary Table

Action Language: 3 grouped into sets of 1/2

Open Number Sentence: 3÷1/2

Manipulative: Cuisenaire Rods

Quantitative Solution:

Referential Meaning:

CONCRETE MANIPULATIVE:

REPRESENTATIONAL MANIPULATIVE:

TRANSITIONAL ACTIVITIES: Computer Activities





STUDENT PROBLEMS:

1. Olivia dump is making a pizza with shrimp. 1 1/2 pizzas are left to sell by the piece. The pies are cut into 1/3 pieces. How many pieces does she have to sell?

STUDENT ANSWER KEY:

1. Quantitative Meaning: 4 1/3

Referential Meaning: Pieces of pieces

CAMMP 2002

College of Education

Reading and Elementary Education

Day 1









Day 2









Day 3









Day 4







Day 5



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