<p>Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>Task Analysis for Multiplication of Whole Numbers</p><p>1. Understanding of the Multiplication Operation Action Language (sets of) Cuisenaire Rods</p><p>2. Multiplication of one digit x one digit Cuisenaire Rods</p><p>3. Multiplication of two digit x one digit without regrouping Base Ten</p><p>4. Multiplication of two digit x one digit with regrouping Place Value</p><p>5. Multiplication of two digit x two digit Expanded Form</p><p>6. Multiplication of two digit x two digit using partial product/checking for accuracy</p><p>7. Multiplication using the Array</p><p>8. Multiplication of any number digits with or without regrouping Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>CAMMP 2014 DAY: Monday June 23, 2014</p><p>College of Education Reading and Elementary Education</p><p>Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>Integrated, Thematic Problem Solving Unit: A Day at the Circus - Animals</p><p>Grade Level: 3</p><p>Arithmetic Topic (operation): Multiplication</p><p>HIERARCHY STEP #1: Understanding of the multiplication operation- Action Language Multiplication of one digit x one digit</p><p>THEME PROBLEM: There are 3 monkeys in each cage, how many monkey’s are in 2 cages.</p><p>Summary Table</p><p>Action Language: Sets of</p><p>Open Number Sentence: 3 x 2 =</p><p>Manipulative: Concrete</p><p>Quantitative Solution: 6</p><p>Referential Meaning: monkeys</p><p>CONCRETE MANIPULATIVE: Cuisenaire Rods</p><p>REPRESENTATIONAL MANIPULATIVE: n/a</p><p>TRANSITIONAL ACTIVITIES: Computer Activities www.aplusmath.com (addition flashcards) Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT PROBLEMS: (Monday)</p><p>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)</p><p>2. Tyler the lion trainer has 4 cages. Each cage holds 3 lions. How many lions does </p><p>Tyler have?</p><p>3. Each circus clown has 2 circus dogs. If there are 4 clowns how many dogs will there be?</p><p>4. 2 rows of animals are in the parade. There are 10 animals in each row. How many circus animals in all?</p><p>5. Christina has 3 dancing horses. Each horse needs 6 bells. How many bells does </p><p>Christina need to buy?</p><p>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?</p><p>7. Supriya the bird trainer has 5 birdcages with 3 talking parrots in each. How many birds does Christina have?</p><p>8. Jeremiah has 4 Tigers. Each tiger has 4 stripes. How many stripes do all the tigers have?</p><p>9. Czara has 9 dancing dogs. Each dog needs 1 tutu. How many tutus does Czara need to make?</p><p>10. There are 3 komodo dragons. Each dragon has 6 sharp teeth. How many teeth do we have to watch out for? Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT ANSWER KEY: (Monday)</p><p>1. Quantitative Meaning: 6</p><p>Referential Meaning: Seats</p><p>2. Quantitative Meaning: 12</p><p>Referential Meaning: Lions</p><p>3. Quantitative Meaning: 8</p><p>Referential Meaning: Dogs</p><p>4. Quantitative Meaning: 20</p><p>Referential Meaning: Circus Animals</p><p>5. Quantitative Meaning: 18</p><p>Referential Meaning: Bells</p><p>6. Quantitative Meaning: 20</p><p>Referential Meaning: Performers</p><p>7. Quantitative Meaning: 15</p><p>Referential Meaning: Birds</p><p>8. Quantitative Meaning: 16</p><p>Referential Meaning: Stripes</p><p>9. Quantitative Meaning: 9</p><p>Referential Meaning: Tutus</p><p>10. Quantitative Meaning: 18</p><p>Referential Meaning: Sharp Teeth Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>CAMMP 2014 DAY: Tuesday 06/24/14</p><p>College of Education Reading and Elementary Education</p><p>Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>Integrated, Thematic Problem Solving Unit: A Day at the Circus - Food</p><p>Grade Level: 3</p><p>Arithmetic Topic (operation): Multiplication</p><p>HIERARCHY STEP #2: Multiplication of one digit x one digit Cuisenaire Rods</p><p>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?</p><p>Summary Table</p><p>Action Language: Sets of</p><p>Open Number Sentence: 2 x 5 =</p><p>Manipulative: Concrete</p><p>Quantitative Solution: 10</p><p>Referential Meaning: bags of jellybeans</p><p>CONCRETE MANIPULATIVE: Cusinare rods </p><p>REPRESENTATIONAL MANIPULATIVE: n/a</p><p>TRANSITIONAL ACTIVITIES: Computer Activities www.mathplayground.com (math manipulatives) Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT PROBLEMS: (Tuesday)</p><p>1. Each cotton candy costs $1.00. How much do 4 cotton candies cost?</p><p>2. Each hotdog costs $2.00. How much do 5 hotdogs cost?</p><p>3. Each child has 2 lollipops. If there are 6 children, how many lollipops are there in total?</p><p>4. Each child has 4 Skittles. If there are 7 children, how many Skittles are there in total?</p><p>5. Paula has 6 boxes of peanuts. Each box holds 4 peanuts. How many peanuts does Paula have?</p><p>6. Each popcorn stand needs 2 workers each. The circus has 3 popcorn stands. How many popcorn workers does the circus need to hire?</p><p>7. Tyler, Czara, Gabrielle, Jeremiah, Christina and Supriya each have 5 soft pretzels. How many soft pretzels does the group have?</p><p>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?</p><p>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?</p><p>10. The group buys 2 pizzas. Each pizza has 8 slices. How many slices will the group have? Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT ANSWER KEY: (Tuesday)</p><p>1. Quantitative: 4 Referential: Dollars</p><p>2. Quantitative: 10 Referential: Dollars</p><p>3. Quantitative: 12 Referential: Lollipops</p><p>4. Quantitative Meaning: 28</p><p>Referential Meaning: Skittles</p><p>5. Quantitative Meaning: 24</p><p>Referential Meaning: Peanuts</p><p>6. Quantitative Meaning: 6</p><p>Referential Meaning: Popcorn Workers</p><p>7. Quantitative Meaning: 30</p><p>Referential Meaning: Soft Pretzels</p><p>8. Quantitative Meaning: 9</p><p>Referential Meaning: Dollars</p><p>9. Quantitative Meaning: 40</p><p>Referential Meaning: M & M’s </p><p>10. Quantitative Meaning: 16</p><p>Referential Meaning: Slices of Pizza Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>CAMMP 2014 DAY: Wednesday 06/25/14</p><p>College of Education Reading and Elementary Education</p><p>Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>Integrated, Thematic Problem Solving Unit: A Day at the Circus - Food</p><p>Grade Level: 3</p><p>Arithmetic Topic (operation): Multiplication</p><p>HIERARCHY STEP #3: Multiplication of two digit x one digit without regrouping. Base Ten</p><p>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?</p><p>Summary Table</p><p>Action language: 10 sets of 6</p><p>Open number sentence: 10x6=</p><p>Manipulatives: Representational</p><p>Quantitative solutions: 60</p><p>Referential meaning: tickets</p><p>CONCRETE MANIPULATIVE: N/A </p><p>REPRESENTATIONAL MANIPULATIVE: Base 10 blocks </p><p>TRANSITIONAL ACTIVITIES: Computer Activities www.coolmath.com www.ixl.com Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT PROBLEMS: (Wednesday)</p><p>1. Jeremiah has a book of tickets in each hand, and 30 tickets are in each book. How many tickets does he have?</p><p>2. Each book of tickets has 25 tickets and there are 7 books of tickets. How many tickets are there?</p><p>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?</p><p>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?</p><p>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? </p><p>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?</p><p>7. Sarah picked 14 apples out of 3 barrels evenly. How many apples did Sarah pick? </p><p>8. We ordered 21 pizzas. Each pizza has 8 slices. How many slices of pizza are there altogether? Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT ANSWER KEY: (Wednesday)</p><p>1. Quantitative: 60</p><p>Referential: Tickets</p><p>2. Quantitative: 175</p><p>Referential: Tickets</p><p>3. Quantitative: 128</p><p>Referential: Tickets</p><p>4. Quantitative Meaning: 102</p><p>Referential Meaning: Skittles</p><p>5. Quantitative Meaning: 50</p><p>Referential Meaning: Peanuts</p><p>6. Quantitative Meaning: 84</p><p>Referential Meaning: Seats</p><p>7. Quantitative Meaning: 42</p><p>Referential Meaning: Apples</p><p>8. Quantitative Meaning: 168</p><p>Referential Meaning: Slices of pizza Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>CAMMP 2014 DAY: Thursday 06/26/14</p><p>College of Education Reading and Elementary Education</p><p>Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>Integrated, Thematic Problem Solving Unit: A Day at the Circus</p><p>Grade Level: 3</p><p>Arithmetic Topic (operation): Multiplication</p><p>HIERARCHY STEP #4: Multiplication of two digit x one digit with regrouping Place Value</p><p>THEME PROBLEM: There are 19 tigers. Each tiger has 5 sharp teeth. How many sharp teeth does the animal trainer have avoid?</p><p>Summary Table</p><p>Action Language: Sets of</p><p>Open Number Sentence: 19 x 5 =</p><p>Manipulative: Representational</p><p>Quantitative Solution: 95</p><p>Referential Meaning: teeth</p><p>CONCRETE MANIPULATIVE: N/A</p><p>REPRESENTATIONAL MANIPULATIVE: Base Ten and Place Value</p><p>TRANSITIONAL ACTIVITIES: Computer Activities www.brainpop.com (3rd grade multiplication) Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT PROBLEMS: (Thursday)</p><p>1. Each clown has 10 balloons. If there are 4 clowns, how many balloons are there in all? </p><p>2. There are 20 rides. Each ride takes 3 tickets to get on. How many tickets do I need to ride all the rides?</p><p>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?</p><p>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?</p><p>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?</p><p>6. Jeremiah has 31 birthday cards with 11 dollars in each card. How much money can he spend at the circus?</p><p>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?</p><p>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?</p><p>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? </p><p>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? Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT ANSWER KEY: (Thursday)</p><p>1. Quantitative: 40 Referential: Balloons</p><p>2. Quantitative: 60 Referential: Tickets</p><p>3. Quantitative: 120 Referential: Swings</p><p>4. Quantitative: 100 Referential: Minutes</p><p>5. Quantitative: 125 Referential: Dollars</p><p>6. Quantitative: 341 Referential: Dollars</p><p>7. Quantitative: 246 Referential: Hotdogs</p><p>8. Quantitative: 198 Referential: lollipops</p><p>9. Quantitative: 270 Referential: Feet</p><p>10. Quantitative: 280 Referential: Pounds Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>CAMMP 2014 DAY: Friday 06/27/14</p><p>College of Education Reading and Elementary Education</p><p>Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>Integrated, Thematic Problem Solving Unit: A Day at the Circus - Food</p><p>Grade Level: 3</p><p>Arithmetic Topic (operation): Multiplication</p><p>HIERARCHY STEP #5: Multiplication of two digit x two digit Expanded Form</p><p>THEME PROBLEM: There are 20 trapeze artists balancing on the tightrope. Each wears 10 bells. How many bells do they wear all together?</p><p>Summary Table</p><p>Action Language: 20 Sets of 10</p><p>Open Number Sentence: 20 x 10 =</p><p>Manipulative: Representational</p><p>Quantitative Solution: 200</p><p>Referential Meaning: Bells</p><p>CONCRETE MANIPULATIVE: N/A</p><p>REPRESENTATIONAL MANIPULATIVE: Place Value and Expanded Form</p><p>TRANSITIONAL ACTIVITIES: Computer Activities www.ixl.com (3rd grade multiplication E.11) Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT PROBLEMS: (Friday)</p><p>1. 13 clowns are juggling 37 balls. How many balls are there is all?</p><p>2. The 3 lion tamers cracking there whips, and there are 47 lions. How many times</p><p>3. At the circus, I see 35 elephants and 48 tigers. How many legs do I see? </p><p>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? </p><p>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? </p><p>6. The ring toss game has 52 rows and 15 columns of bottles. How many bottles are there in all? </p><p>7. There are 37 game tents at the circus. There are 17 stuffed animals in each tent. </p><p>How many stuffed animals are there in all? </p><p>8. Chris gave his 35 friends 12 pieces of candy each. How many pieces of candy did </p><p>Chris give his friends? Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT ANSWER KEY: (Friday)</p><p>1. Quantitative: 481 Referential: Balls</p><p>2. Quantitative: 141 Referential: Whip Cracks</p><p>3. Quantitative: 227 Referential: Animal Legs</p><p>4. Quantitative Meaning: 1,540</p><p>Referential Meaning: Popcorn Cornels</p><p>5. Quantitative Meaning: 432</p><p>Referential Meaning: Rows</p><p>6. Quantitative Meaning: 780</p><p>Referential Meaning: bottles</p><p>7. Quantitative Meaning: 629 </p><p>Referential Meaning: stuffed animals</p><p>8. Quantitative Meaning: 420</p><p>Referential Meaning: pieces of candy Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>CAMMP 2014 DAY: Bonus Day</p><p>College of Education Reading and Elementary Education</p><p>Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>Integrated, Thematic Problem Solving Unit: A Day at the Circus - Food</p><p>Grade Level: 3</p><p>Arithmetic Topic (operation): Multiplication</p><p>HIERARCHY STEP # 5 and/or beyond</p><p>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?</p><p>Summary Table</p><p>Action Language: Sets of</p><p>Open Number Sentence: 9X564=</p><p>Manipulative: Representational</p><p>Quantitative Solution: 5076</p><p>Referential Meaning: Toys</p><p>CONCRETE MANIPULATIVE: n/a</p><p>REPRESENTATIONAL MANIPULATIVE: Place Value and Expanded Form</p><p>TRANSITIONAL ACTIVITIES: Array and Computer Activities Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT PROBLEMS: (Bonus day)</p><p>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?</p><p>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?</p><p>3. Victor worked as a camp counselor for 7 days. He earned $94 per day. How much money did Victor earn?</p><p>4. A parking garage has 3 levels. There are 798 parking spots on each level. How many parking spots are there in all?</p><p>5. There are 8 bags of beans. Each bag contains 642 beans. How many beans are there in all?</p><p>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?</p><p>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?</p><p>8. A city wants to replace 6 streetlights on each city block. How many new streetlights will the city need for 1,432 blocks?</p><p>9. A chef prepared 8 platters of shrimp. There were 1,656 shrimp on each platter. How many shrimp did the chef prepare?</p><p>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? Names: Fletcher, Harriet; Gaudet, Lindsey; Stanley, Jannine</p><p>STUDENT ANSWER KEY: (Bonus day)</p><p>1. Quantitative: 3,577 Referential: Seeds</p><p>2. Quantitative: 483 Referential: Trees planted</p><p>3. Quantitative: $658 Referential: Dollars Earned</p><p>4. Quantitative Meaning: 2,394</p><p>Referential Meaning: Parking Spots</p><p>5. Quantitative Meaning: 5,136</p><p>Referential Meaning: Beans 6. Quantitative: 2,358 Referential: Sweatshirts</p><p>7. Quantitative: $2,310 Referential: Dollars</p><p>8. Quantitative: 8,592 Referential: Street Lights</p><p>9. Quantitative Meaning: 13,298</p><p>Referential Meaning: Shrimp</p><p>10. Quantitative Meaning: 432</p><p>Referential Meaning: Chairs</p>