Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine
Task Analysis for Multiplication of Whole Numbers
- Understanding of the Multiplication Operation
Action Language (sets of) Cuisenaire Rods
- Multiplication of one digit x one digit Cuisenaire Rods
- Multiplication of two digit x one digit without regrouping Base Ten
- Multiplication of two digit x one digit with regrouping Place Value
- Multiplication of two digit x two digit Expanded Form
- Multiplication of two digit x two digit using partial product/checking for accuracy
- Multiplication using the Array
- Multiplication of any number digits with or without regrouping
CAMMP 2014
DAY:Monday June 23, 2014
College of Education
Reading and Elementary Education
Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine
Integrated, Thematic Problem Solving Unit: A Day at the Circus - Animals
Grade Level: 3
Arithmetic Topic (operation): Multiplication
HIERARCHY STEP #1: Understanding of the multiplication operation- Action Language
Multiplication of one digit x one digit
THEME PROBLEM: There are 3 monkeys in each cage, how many monkey’s are in 2 cages.
Summary Table
Action Language: Sets of
Open Number Sentence: 3 x 2 =
Manipulative:Concrete
Quantitative Solution: 6
Referential Meaning: monkeys
CONCRETE MANIPULATIVE: Cuisenaire Rods
REPRESENTATIONAL MANIPULATIVE: n/a
TRANSITIONAL ACTIVITIES: Computer Activities
(addition flashcards)
STUDENT PROBLEMS:(Monday)
1. There are three seats in a train car and there are 2 train cars. How many seats are there all together? (This problem will illustrate the difference between 3 sets of 2 and 2 sets of 3)
2. Tyler the lion trainer has 4 cages. Each cage holds 3 lions. How many lions does Tyler have?
3. Each circus clown has 2 circus dogs. If there are 4 clowns how many dogs will there be?
4. 2 rows of animals are in the parade. There are 10 animals in each row. How many circus animals in all?
5. Christina has 3 dancing horses. Each horse needs 6 bells. How many bells does Christina need to buy?
6. Gabrielle the ringmaster moves all the performers on the train. There are 5 train cars with 4 people in each. How many performers will be moved?
7. Supriya the bird trainer has 5 birdcages with 3 talking parrots in each. How many birds does Christina have?
8. Jeremiah has 4 Tigers. Each tiger has 4 stripes. How many stripes do all the tigers have?
9. Czara has 9 dancing dogs. Each dog needs 1 tutu. How many tutus does Czara need to make?
10. There are 3 komodo dragons. Each dragon has 6 sharp teeth. How many teeth do we have to watch out for?
STUDENT ANSWER KEY: (Monday)
1.Quantitative Meaning: 6
Referential Meaning: Seats
2.Quantitative Meaning: 12
Referential Meaning: Lions
3.Quantitative Meaning: 8
Referential Meaning: Dogs
4.Quantitative Meaning: 20
Referential Meaning: Circus Animals
5.Quantitative Meaning: 18
Referential Meaning: Bells
6.Quantitative Meaning: 20
Referential Meaning: Performers
7.Quantitative Meaning: 15
Referential Meaning: Birds
8.Quantitative Meaning: 16
Referential Meaning: Stripes
9.Quantitative Meaning: 9
Referential Meaning: Tutus
10.Quantitative Meaning: 18
Referential Meaning: Sharp Teeth
CAMMP 2014
DAY: Tuesday06/24/14
College of Education
Reading and Elementary Education
Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine
Integrated, Thematic Problem Solving Unit: A Day at the Circus - Food
Grade Level: 3
Arithmetic Topic (operation): Multiplication
HIERARCHY STEP #2: Multiplication of one digit x one digit Cuisenaire Rods
THEME PROBLEM: Mrs. Gaudet and Ms. Fletcher want to buy a bag of jelly beans for each of their students. Each teacher has 5 students. How many bags of jellybeans do the teachers need to buy?
Summary Table
Action Language: Sets of
Open Number Sentence: 2 x 5=
Manipulative: Concrete
Quantitative Solution: 10
Referential Meaning: bags of jellybeans
CONCRETE MANIPULATIVE: Cusinare rods
REPRESENTATIONAL MANIPULATIVE: n/a
TRANSITIONAL ACTIVITIES: Computer Activities
(math manipulatives)
STUDENT PROBLEMS: (Tuesday)
1. Each cotton candy costs $1.00. How much do 4 cotton candies cost?
2. Each hotdog costs $2.00. How much do 5 hotdogs cost?
3. Each child has 2 lollipops. If there are 6 children, how many lollipops are there in total?
4. Each child has 4 Skittles. If there are 7 children, how many Skittles are there in total?
5. Paula has 6 boxes of peanuts. Each box holds 4 peanuts. How many peanuts does Paula have?
6. Each popcorn stand needs 2 workers each. The circus has 3 popcorn stands. How many popcorn workers does the circus need to hire?
7. Tyler, Czara, Gabrielle, Jeremiah, Christina and Supriya each have 5 soft pretzels. How many soft pretzels does the group have?
8. The circus is selling ice cream cones. Ice cream cones sell for $3 each. Jeremiah, Christina, and Supriya each want an ice-cream cone. How much money does the group need?
9. A candy stand is selling 4 boxes of M&M’s. Each box has 10 M&M’s in it. How many M&M’s are in all the boxes combined?
10. The group buys 2 pizzas. Each pizza has 8 slices. How many slices will the group have?
STUDENT ANSWER KEY:(Tuesday)
1.Quantitative: 4
Referential: Dollars
2.Quantitative: 10
Referential: Dollars
3.Quantitative: 12
Referential: Lollipops
4.Quantitative Meaning: 28
Referential Meaning: Skittles
5.Quantitative Meaning: 24
Referential Meaning: Peanuts
6.Quantitative Meaning: 6
Referential Meaning: Popcorn Workers
7.Quantitative Meaning: 30
Referential Meaning: Soft Pretzels
8.Quantitative Meaning: 9
Referential Meaning: Dollars
9.Quantitative Meaning: 40
Referential Meaning: M & M’s
10.Quantitative Meaning: 16
Referential Meaning: Slices of Pizza
CAMMP 2014
DAY: Wednesday06/25/14
College of Education
Reading and Elementary Education
Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine
Integrated, Thematic Problem Solving Unit: A Day at the Circus - Food
Grade Level: 3
Arithmetic Topic (operation): Multiplication
HIERARCHY STEP #3:Multiplication of two digit x one digit without regrouping. Base Ten
THEME PROBLEM:A family has 10 books of ride tickets. There are 6 tickets in each book. How many tickets does the family have all together?
Summary Table
Action language: 10 sets of 6
Open number sentence: 10x6=
Manipulatives: Representational
Quantitative solutions: 60
Referential meaning: tickets
CONCRETE MANIPULATIVE: N/A
REPRESENTATIONAL MANIPULATIVE: Base 10 blocks
TRANSITIONAL ACTIVITIES: Computer Activities
STUDENT PROBLEMS: (Wednesday)
1. Jeremiah has a book of tickets in each hand, and 30 tickets are in each book. How many tickets does he have?
2. Each book of tickets has 25 tickets and there are 7 books of tickets. How many tickets are there?
3. There are 4 kids standing in line for a ride, and each kid has a book of tickets with 32 tickets in each book. How many tickets are there all together?
4. In order to ride the zipper coaster, Gabrielle needs 6 tickets. If Gabrielle has 17 friends with her in line, how many tickets will it take for them all to ride at the same time?
5. On average, the CAMMPers use 10 tickets per hour on rides. The CAMMPers have been at the circus for 5 hours already, so how many tickets has each CAMMPer used?
6. The Ferris wheel in the circus has 14 seats. Each seat can hold 6 people. How many people can ride the Ferris wheel at the same time?
7. Sarah picked 14 apples out of 3 barrels evenly. How manyapples did Sarah pick?
8. We ordered 21 pizzas. Each pizza has 8 slices. How many slices of pizza are there altogether?
STUDENT ANSWER KEY: (Wednesday)
1.Quantitative: 60
Referential: Tickets
2.Quantitative: 175
Referential: Tickets
3.Quantitative: 128
Referential: Tickets
4.Quantitative Meaning: 102
Referential Meaning: Skittles
5.Quantitative Meaning: 50
Referential Meaning: Peanuts
6.Quantitative Meaning: 84
Referential Meaning: Seats
7.Quantitative Meaning: 42
Referential Meaning: Apples
8.Quantitative Meaning: 168
Referential Meaning: Slices of pizza
CAMMP 2014
DAY: Thursday06/26/14
College of Education
Reading and Elementary Education
Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine
Integrated, Thematic Problem Solving Unit: A Day at the Circus
Grade Level: 3
Arithmetic Topic (operation): Multiplication
HIERARCHY STEP #4:Multiplication of two digit x one digit with regrouping Place Value
THEME PROBLEM:There are 19 tigers. Each tiger has 5 sharp teeth. How many sharp teeth does the animal trainer have avoid?
Summary Table
Action Language: Sets of
Open Number Sentence: 19 x 5 =
Manipulative: Representational
Quantitative Solution: 95
Referential Meaning: teeth
CONCRETE MANIPULATIVE: N/A
REPRESENTATIONAL MANIPULATIVE: Base Ten and Place Value
TRANSITIONAL ACTIVITIES: Computer Activities
(3rd grade multiplication)
STUDENT PROBLEMS: (Thursday)
1. Each clown has 10 balloons. If there are 4 clowns, how many balloons are there in all?
2. There are 20 rides. Each ride takes 3 tickets to get on. How many tickets do I need to ride all the rides?
3. During training exercises 3 members of the trapeze team swing 40 times. How many swings will they have done at the end of training?
4. Each ride takes 5 minutes to ride. There are 20 rides at the Circus. How many minutes do we need to ride all the rides?
5. Gabrielle wants to buy all 25 family members cotton candy. Cotton candy costs 5 each. How much will Gabrielle need to spend in order to do this?
6. Jeremiah has 31 birthday cards with 11 dollars in each card. How much money can he spend at the circus?
7. Tyler is in charge of the hotdog stand. He has 41 packs of hotdogs with 6 hotdogs in each. How many hotdogs can Tyler make?
8. Christina is in charge of the candy stand. She has 9 boxes of lollipops. Each box has 22 lollipops in it. How many lollipops does Christina have to sell at the circus?
9. Supriya does the balancing act. She has 6 beams to walk down for the show. Each beam is 45 feet long. How many total feet of beam does Supriya have to balance-walk on?
10. Czara is the animal trainer. She has to feed the elephants. Each elephant eats 40 pounds of food a day. She has 7 elephants. How many pounds of food does Czara need to feed all her elephants today?
STUDENT ANSWER KEY:(Thursday)
1. Quantitative: 40
Referential: Balloons
2. Quantitative: 60
Referential: Tickets
3. Quantitative: 120
Referential: Swings
4. Quantitative: 100
Referential: Minutes
5. Quantitative: 125
Referential: Dollars
6. Quantitative: 341
Referential: Dollars
7. Quantitative: 246
Referential: Hotdogs
8. Quantitative: 198
Referential: lollipops
9. Quantitative: 270
Referential: Feet
10. Quantitative: 280
Referential: Pounds
CAMMP 2014
DAY: Friday 06/27/14
College of Education
Reading and Elementary Education
Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine
Integrated, Thematic Problem Solving Unit: A Day at the Circus - Food
Grade Level: 3
Arithmetic Topic (operation): Multiplication
HIERARCHY STEP #5:Multiplication of two digit x two digit Expanded Form
THEME PROBLEM:There are 20 trapeze artists balancing on the tightrope. Eachwears 10 bells. How many bells do they wear all together?
Summary Table
Action Language: 20Sets of10
Open Number Sentence: 20 x 10=
Manipulative: Representational
Quantitative Solution: 200
Referential Meaning: Bells
CONCRETE MANIPULATIVE: N/A
REPRESENTATIONAL MANIPULATIVE: Place Value and Expanded Form
TRANSITIONAL ACTIVITIES: Computer Activities
(3rd grade multiplication E.11)
STUDENT PROBLEMS: (Friday)
1. 13 clowns are juggling 37 balls. How many balls are there is all?
2. The 3 lion tamers cracking there whips, and there are 47 lions. How many times
3. At the circus, I see 35 elephants and 48 tigers. How many legs do I see?
4. Each day you put a bag of popcorn cornels that weighs 55 pounds in the popcorn maker. How many pounds of popcorn will you have made after 4 weeks?
5. Under the circus tent, the chairs have been put into 27 rows with 16 chairs in each row. How many chairs have been put out for the circus show?
6. The ring toss game has 52 rows and 15 columns of bottles. How many bottles are there in all?
7. There are 37 game tents at the circus. There are 17 stuffed animals in each tent. How many stuffed animals are there in all?
8. Chris gave his 35 friends 12 pieces of candy each. How many pieces of candy did Chris give his friends?
STUDENT ANSWER KEY:(Friday)
1.Quantitative: 481
Referential: Balls
2.Quantitative: 141
Referential: Whip Cracks
3.Quantitative: 227
Referential: Animal Legs
4.Quantitative Meaning: 1,540
Referential Meaning: Popcorn Cornels
5.Quantitative Meaning: 432
Referential Meaning: Rows
6. Quantitative Meaning: 780
Referential Meaning: bottles
7. Quantitative Meaning: 629
Referential Meaning: stuffed animals
8. Quantitative Meaning: 420
Referential Meaning: pieces of candy
CAMMP 2014
DAY: Bonus Day
College of Education
Reading and Elementary Education
Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine
Integrated, Thematic Problem Solving Unit: A Day at the Circus - Food
Grade Level: 3
Arithmetic Topic (operation): Multiplication
HIERARCHY STEP # 5 and/or beyond
THEME PROBLEM:A toy company owns 9 toy factories. Each factory makes 564 toys per day. How many toys do the factories make each day?
Summary Table
Action Language: Sets of
Open Number Sentence: 9X564=
Manipulative: Representational
Quantitative Solution: 5076
Referential Meaning: Toys
CONCRETE MANIPULATIVE: n/a
REPRESENTATIONAL MANIPULATIVE: Place Value and Expanded Form
TRANSITIONAL ACTIVITIES: Array and Computer Activities
STUDENT PROBLEMS: (Bonus day)
1.A seed company filled 7 bags with seed. They put 511 grams of seed in each bag. How many grams of seed are there in all the bags combined?
2.Ben planted 7 types of trees in his orchard. He planted 69 of each type of tree. How many trees did Ben plant in the orchard?
3.Victor worked as a camp counselor for 7 days. He earned $94 per day. How much money did Victor earn?
4.A parking garage has 3 levels. There are 798 parking spots on each level. How many parking spots are there in all?
5.There are 8 bags of beans. Each bag contains 642 beans. How many beans are there in all?
6.A clothing company ordered sweatshirts in 3 different colors. They ordered 786 of each color. How many sweatshirts did the clothing company order in all?
7.A foundation donates $462 per year to the state university. How much will the foundation donate in total to the university in 5 years?
8.A city wants to replace 6 streetlights on each city block. How many new streetlights will the city need for 1,432 blocks?
9.A chef prepared 8 platters of shrimp. There were 1,656 shrimp on each platter. How many shrimp did the chef prepare?
10.A toy company owns 9 toy factories. Each factory makes 56,354 toys per day. How many toys in total do the factories make each day?
STUDENT ANSWER KEY: (Bonus day)
1.Quantitative: 3,577
Referential: Seeds
2.Quantitative: 483
Referential: Trees planted
3.Quantitative: $658
Referential: Dollars Earned
4.Quantitative Meaning: 2,394
Referential Meaning: Parking Spots
5.Quantitative Meaning: 5,136
Referential Meaning: Beans
6.Quantitative: 2,358
Referential: Sweatshirts
7.Quantitative: $2,310
Referential: Dollars
8.Quantitative: 8,592
Referential: Street Lights
9.Quantitative Meaning: 13,298
Referential Meaning: Shrimp
10.Quantitative Meaning: 432
Referential Meaning: Chairs