Lee, E. & Spies, K.
Task Analysis for Subtraction of Whole Numbers
- Understanding of the take away subtraction operation – action language
- Subtraction of one digit x one digit (basic facts of 10)
- Subtraction of two digits x one digit – without regrouping(introduce transitional)
- Subtraction of two digit x one digit with regrouping
- Subtraction of two digit x two digit no regrouping
- Subtraction of two digit x two digit with regrouping
- Understanding the additive subtraction operation – action language
- Additive subtraction of one digit x one digit (basic facts of 10)
- Additive subtraction of two digits x one digit – without regrouping(introduce transitional)
- Additive Subtraction of two digit x one digit with regrouping
- Additive Subtraction of two digit x two digit no regrouping
- Additive Subtraction of two digit x two digit with regrouping
MondayCAMMP 2014
College of Education
Reading and Elementary Education
Names: Lee, E.; Spies, K.
Integrated, Thematic Problem Solving Unit: Math Heroes & Villains (will pick a superhero of the day and some of its villains)
Today’s Hero: Batman
Today’s Villain: The Joker
Grade Level: 2
Arithmetic Topic (operation): Take Away Subtraction
HIERARCHY STEPs # 1-2 (task analysis)
-Understanding of the Take Away Subtraction operation – action language
-Take Away Subtraction of one digit x one digit (basic facts of 10)
THEME PROBLEM
- Batman has rescued 8 dogs from a burning building. The Joker takes away 3 of the dogs. How many dogs does Batman have left?
- There are 7 trees in the Gotham city park. The Joker cuts down 4 of the trees. How many trees are left in the park?
Summary Table
Theme Problem #1
Action Language: take away
Open Number Sentence: 8-3 = 5.
Manipulative: C-rods
Quantitative Solution: 5
Referential Meaning: dogs
CONCRETE MANIPULATIVE: C-rods
REPRESENTATIONAL MANIPULATIVE: N/A
TRANSITIONAL ACTIVITIES: Computer Activities
- C-rods online
Math Baseball – easy subtraction
– Flash cards (basic facts)
- math facts practice
STUDENT PROBLEMS:
- Batman has 5 ice cream cones. The Joker takes away 2 ice cream cones and eats them. How many ice cream cones does Batman have left?
- Batman has 9 pencils on his desk. The Joker takes away 3 pencils. How many pencils does Batman have left?
- Batman carries 5 cars across a broken bridge. The Joker takes away 2 cars. How many cars does Batman have left to carry?
- Batman builds 8 new buildings in Gotham City. The Joker takes away 7 of those buildings. How many buildings does Batman have left?
- Batman has 6 fish in his aquarium. The Joker takes away 6 of the fish. How many fish does Batman have left in his aquarium?
- The Joker hires 7 new henchmen in his crew, but Batman captures 1. How many henchmen are left?
- There are 3 buildings on fire in Gotham city. Batman quickly puts the fire out in 1 building. How many buildings are still burning?
- Batman has 2 bat-mobiles, but crashes 1 fighting crime in Gotham city. How many bat-mobiles are left?
- The Joker finds 9 lost puppies in the park. Batman rescues 5, how many puppies are left to be rescued?
- Batman has 6 chicken nuggets in his lunch bag. The Joker takes away 4, how many chicken nuggets are left?
STUDENT ANSWER KEY:
1.Quantitative Meaning: 3
Referential Meaning: ice cream cones
2.Quantitative Meaning:6
Referential Meaning:pencils
3.Quantitative Meaning: 3
Referential Meaning: cars
4.Quantitative Meaning:1
Referential Meaning:building
- Quantitative Meaning: 0
Referential Meaning: fish
- Quantitative Meaning: 6
Referential Meaning: henchmen
- Quantitative Meaning: 2
Referential Meaning: buildings
- Quantitative Meaning: 1
Referential Meaning: bat-mobile
- Quantitative Meaning: 4
Referential Meaning: puppies
- Quantitative Meaning: 2
Referential Meaning: chicken nuggets
TuesdayCAMMP 2014
College of Education
Reading and Elementary Education
Names: Lee, E.; Spies, K.
Integrated, Thematic Problem Solving Unit: Math Heroes & Villains
Today’s Hero: Captain America
Today’s Villains: The Winter Soldier & Red Skull
Grade Level: 2
Arithmetic Topic (operation): Take Away Subtraction
HIERARCHY STEP # 3(task analysis)
-Understanding of the subtraction operation – action language (review)
-Subtraction of one digit x one digit (basic facts of 10) (review)
-Subtraction of two digits x one digit – (using c-rods)
THEME PROBLEMs
- There are 13 soldiers helping Captain America fight The Winter Soldier and his goons, 2 of the soldiers get lost during the fight. How many soldiers are left?
- Captain America had 16 leather jackets in his closet, but gave away 6 jackets to the Goodwill. How many leather jackets are left?
- The S.H.I.E.L.D. building has 15 floors, but 4 of the floors were destroyed. How many floors are left?
Summary Table
Theme Problem 1
Action Language: take away
Open Number Sentence: 13-9 = 4
Manipulative: C-rods
Quantitative Solution: 11
Referential Meaning: soldiers
CONCRETE MANIPULATIVE: C-rods
REPRESENTATIONAL MANIPULATIVE: n/a
TRANSITIONAL ACTIVITIES: Computer Activities
- C-rods online
- Fruit Splat, select Level 2
- math man junior (like pacman – problems get harder)
STUDENT PROBLEMS:
- Captain America saved 20 paintings from a museum fire, but The Red Skull stole 8 of the paintings from Captain America. How many paintings are left?
- There were 15 soldiers who signed up to be in the U.S. Army, 1 of them was chosen to become Captain America. How many soldiers are left?
- Captain America sees 16 dogs for sale at a pet store. He buys 2 of the dogs to be his pets. How many dogs are left in the pet store?
- There are 18 people walking in the park, 8 of them leave when they see The Winter Soldier walk up. How many people are left in the park?
- The Red Skull bought 12 cans of red paint to use on his school’s spirit rock. He used 6 of the cans of paint. How many cans of red paint are left?
- Captain America has 14 players on basketball team, but 6 of them are injured in the game. How many players are left?
- Captain America found 13 buildings where The Winter Soldier could be hiding. He quickly searched 8 of the buildings. How many buildings are left for him to search?
- The Winter Soldier bought 19 wood boards to build a fort. He used 9 of the wood boards. How many wood boards are left?
- There are 10 agents of S.H.I.E.L.D. meeting in the secret layer, 3 of the agents leave to go buy lunch. How many S.H.I.E.L.D. agents are left?
- Captain America decides to get 10 new shields made for him, but he lost 1 during a fight. How many shields does Captain America have left?
STUDENT ANSWER KEY:
1.Quantitative Meaning: 12
Referential Meaning: paintings
2.Quantitative Meaning: 14
Referential Meaning: soldiers
3.Quantitative Meaning: 14
Referential Meaning:dogs
4.Quantitative Meaning: 10
Referential Meaning:people
5. Quantitative Meaning:6
Referential Meaning: cans of red paint
6. Quantitative Meaning: 8
Referential Meaning: players
7. Quantitative Meaning: 5
Referential Meaning: buildings
8. Quantitative Meaning: 10
Referential Meaning: wood boards
9. Quantitative Meaning: 7
Referential Meaning: S.H.I.E.L.D. Agents
10. Quantitative Meaning: 9
Referential Meaning: shields
WednesdayCollege of Education
Reading and Elementary Education
Names: Lee, E. ; Spies, K.
Integrated, Thematic Problem Solving Unit: Math Heroes & Villains
Today’s Hero: Wonder Woman
Today’s Villain: Angle Man
Grade Level: 2
Arithmetic Topic (operation): Take Away Subtraction
HIERARCHY STEP # 3 – Subtraction of two digit x one digit without regrouping
-Understanding of the subtraction operation – action language (review)
-Subtraction of one digit x one digit (basic facts of 10) (review)
-Subtraction of two digits x one digit – (transitional)
THEME PROBLEM
- 19 people are on the roller coaster at the city carnival. The roller coaster breaks down. Wonder Woman takes away 8 people off of the roller coaster. How many people are left for Wonder Woman to save?
Summary Table
Action Language: take away
Open Number Sentence: 19 – 8 = 11
Manipulative: Base 10 blocks
Quantitative Solution: 11
Referential Meaning: people
- Wonder Woman has 17 cotton candies to hand out at the city carnival. Angle Man comes and takes away 6. How many cotton candies are left with Wonder Woman?
Summary Table
Action Language: take away
Open Number Sentence: 17 – 6 = 11
Manipulative: Base 10 blocks
Quantitative Solution: 11
Referential Meaning: cotton candies
CONCRETE MANIPULATIVE: c-rods
REPRESENTATIONAL MANIPULATIVE: base 10 blocks
TRANSITIONAL ACTIVITIES: Computer Activities
– Monsters + math+fun=MURB, Zombie Prom
- use for students having trouble with base 10 blocks
– Island Chase, Duck Race
STUDENT PROBLEMS:
- Wonder Woman made 12 chocolate chip cookies. Angle Man ate 6 of her cookies. How many cookies does Wonder Woman have left?
- Angle Man is having lunch at the zoo. He has 28 french fries to eat with his hamburger. A bird came and took 5 of his french fries. How many french fries does he have left?
- 19 students are playing kickball outside at recess. Wonder Woman came and took 8 students away to play basketball with her. How many students are left playing kickball?
- Wonder Woman has 16 puppies on her farm. A family comes and adopts 6 puppies. Ho many puppies does Wonder Woman have left on her farm?
5. Angle Man has put up 48 stop signs around the city and is causing a major traffic jam. Wonder Woman finds out about this and takes away 22. How many stop signs are left?
6. The 37 students at Math Cammp are having a snack. Angle Man comes and takes away 21 snacks. How many snacks are left?
7. Mrs. Spies loves flowers and has planted 54 flowers in her back yard. Angle Man hates flowers and took away 41 of them. How many flowers are left?
8. Wonder Woman is having a party. She blows up 63 balloons for the party. Angle Man comes to the party and takes away 32 balloons. How many balloons does he have left?
9. Mrs. Lee loves candy. She has 46 pieces of candy in her candy jar. Angle Man comes and takes away 22 pieces of candy from her candy jar. How many pieces of candy does she have left?
10. Angle Man has 77 pieces of gold that are not his. Wonder Woman finds out and takes 41 pieces of gold back to the bank. How many pieces of gold are left with Angle Man?
STUDENT ANSWER KEY:
1.Quantitative Meaning: 6
Referential Meaning: cookies
2.Quantitative Meaning: 23
Referential Meaning: french fries
3.Quantitative Meaning: 11
Referential Meaning: students
4.Quantitative Meaning: 10
Referential Meaning: puppies
5.Quantitative Meaning: 26
Referential Meaning: stop signs
6.Quantitative Meaning: 16
Referential Meaning: snacks
7.Quantitative Meaning: 13
Referential Meaning: flowers
8.Quantitative Meaning: 31
Referential Meaning: balloons
9.Quantitative Meaning: 24
Referential Meaning: pieces of candy
10.Quantitative Meaning: 36
Referential Meaning: pieces of gold
ThursdayCAMMP 2014
College of Education
Reading and Elementary Education
Names: Lee, E.; Spies, K.
Integrated, Thematic Problem Solving Unit: Super Hero (will pick a superhero of the day, each day) Superman & The Green Goblin
Grade Level: 2
Arithmetic Topic (operation): Take Away Subtraction of two digit x one digit withregrouping
HIERARCHY STEPs # 4
THEME PROBLEMs #
- There are 16 money vaults in the bank. The Green Goblin breaks into7, how many are left?
- Spiderman makes 13 new costumes for himself; 8 of the costumes get lost in dry cleaning. How many costumes are left?
- Spiderman had 18 pencils in his backpack. The Green Goblin took 9 without asking. How many pencils are left?
Summary Table
Theme Problem 1
Action Language: take away
Open Number Sentence: 16-7=9
Manipulative: Base 10 Blocks
Quantitative Solution: 9
Referential Meaning: money vaults
Theme Problem 2
Action Language: take away
Open Number Sentence: 13-8=5
Manipulative: Base 10 Blocks
Quantitative Solution: 5
Referential Meaning: costumes
Theme Problem 3
Action Language: take away
Open Number Sentence: 18-9=9
Manipulative: Base 10 Blocks
Quantitative Solution: 9
Referential Meaning: pencils
CONCRETE MANIPULATIVE: n/a
REPRESENTATIONAL MANIPULATIVE: Base 10 blocks
TRANSITIONAL ACTIVITIES: Computer Activities
- Fruit Splat, select Level
- use for students having trouble with base 10 blocks
- Balloon pop subtraction, select level 2
STUDENT PROBLEMS:
- Spiderman uses 14 webs to keep a building from falling in the street, 8 of the webs rip. How many webs are left?
- There are 20 new benches in the park. Spiderman and The Green Goblin break 3 during a fight. How many park benches are left?
- Spiderman has 14 pet spiders in his home. The Green Goblin steps on 6 of them. How many are left?
- The Green Goblin has 10 gliders, but loses 3. How many gliders are left?
- The Green Goblin starts 12 fires in the city. Superman puts out 8 of the fires. How many fires are left?
- Spiderman is chasing 11 criminals in the street. 8 of the criminals get away in a helicopter. How many criminals are left?
- Spiderman’s grandmother needs to move 14 flower vases outside. Spiderman helps her move 6 of the flower vases. How many are left?
- The Green Goblin sends 12 of his men to look for Spiderman, 9 of the men are caught by police. How many men are left?
- A 17 car train is speeding towards a cliff; Spiderman is able to stop 9 of the cars. How many train cars are left?
- The Green Goblin makes 16 glasses of a poisonous liquid. He drops 8 of the glasses of poison. How many glasses of poison are left?
STUDENT ANSWER KEY:
1.Quantitative Meaning: 6
Referential Meaning: webs
2.Quantitative Meaning: 17
Referential Meaning: park benches
3.Quantitative Meaning: 8
Referential Meaning: spiders
4.Quantitative Meaning: 7
Referential Meaning: gliders
5.Quantitative Meaning: 4
Referential Meaning: fires
6.Quantitative Meaning: 3
Referential Meaning: criminals
7.Quantitative Meaning: 8
Referential Meaning: flower vases
8.Quantitative Meaning: 3
Referential Meaning: men
9.Quantitative Meaning: 8
Referential Meaning: train cars
10.Quantitative Meaning: 8
Referential Meaning: glasses of poison
FridayCAMMP 2014
College of Education
Reading and Elementary Education
Names: Lee, E. ; Spies, K.
Integrated, Thematic Problem Solving Unit: Super Hero – You Are The Superhero!
Grade Level: 2
Arithmetic Topic (operation): Subtraction
HIERARCHY STEP # 4 – Subtraction of two digit x two digit without regrouping
-Understanding of the subtraction operation – action language (review)
-Subtraction of two digits x two digit – (transitional using expanded form)
THEME PROBLEM
- Batman collected 67 seashells while at the beach on vacation. The Joker came and took away 42 of the seashells. How many seashells does Batman have left?
Summary Table
Action Language: take away
Open Number Sentence: 67 – 42 = 25
Manipulative: n/a
Quantitative Solution: 25
Referential Meaning: seashells
Students will use expanded form to solve the problem.
- There are 99 pencils at Math CAMMP for the students to use. The Green Goblin comes in and takes away 37 of them. How many pencils are left for the students to use at Math Cammp?
Summary Table
Action Language: take away
Open Number Sentence: 99 – 37 = 62
Manipulative: n/a
Quantitative Solution: 62
Referential Meaning: cotton pencils
Students will use expanded form to solve the problem.
CONCRETE MANIPULATIVE: n/a
REPRESENTATIONAL MANIPULATIVE: n/a
TRANSITIONAL ACTIVITIES: Computer Activities
– Math Man Jr. Subtraction, Math Match Subtraction
– Math Monsters, Minus Mission
STUDENT PROBLEMS:
- Drake loves cookies and has 27 cookies in his lunchbox. Mrs. Spies comes and takes 11 of his cookies away! How many cookies does Drake have left in his lunch?
- Kaison carries 49 water bottles outside for recess. The Joker comes and takes away 32 bottles of water. How many bottles of water does Kaison have left?
- 38 students are in a water balloon fight. The Green Goblin comes and takes away 27 students. How many students are left having a water balloon fight?
- Nevan brought 22 cupcakes for our class! Mrs. Lee came and took 12 of the cupcakes away. How many cupcakes are left?
5. Gavin has 76 Legos at his house. Angle Man comes and takes away 61. How many Legos does Gavin have left?
6. Grace loves to play tennis and has 55 tennis balls at her house. The Green Goblin hates tennis and takes 32 of her tennis balls away. How many tennis balls does Dasha have left?
7. Mrs. Spies owns 18 necklaces. The Joker took away 13 of her necklaces. How many necklaces does Mrs. Spies have left?
8. There are 88 kids swimming in the pool. 64 parents come and take away their kids to go home. How many kids are left swimming in the pool?
9. Mrs. Lee painted 27 pictures. The Green Goblin took away 23 of the pictures. How many pictures does Mrs. Lee have left?
10. Batman picks 69 apples off of the apple trees. The Joker comes and takes away 53 apples. How many apples does Batman have left?
STUDENT ANSWER KEY:
1.Quantitative Meaning: 16
Referential Meaning: cookies
2.Quantitative Meaning: 17
Referential Meaning: bottles of water
3.Quantitative Meaning: 11
Referential Meaning: students
4.Quantitative Meaning: 10
Referential Meaning: cupcakes
5.Quantitative Meaning: 15
Referential Meaning: Legos
6.Quantitative Meaning: 23
Referential Meaning: tennis balls
7.Quantitative Meaning: 5
Referential Meaning: necklaces
8.Quantitative Meaning: 24
Referential Meaning: kids
9.Quantitative Meaning: 4
Referential Meaning: paintings
10.Quantitative Meaning: 16
Referential Meaning: apples