Math CAMMP

Kalie Lang, Melanie Kriksciun, Laura Butler

Modules

Task Analysis for Addition of Whole Numbers

First Grade

Monday: Understanding of the addition operation—action language; Addition of one digit by one digit (basic facts to ten)

Tuesday: Addition of two digits by one digit (without regrouping)

Wednesday: Addition of two digits by one digit (without regrouping)

Thursday: Addition of two digits by one digit (with regrouping)

Friday: Addition of two digits by one digit (with regrouping)

Day 6: Addition of two digits by one digit, expanded form (without regrouping)

Day 1

CAMMP 2002

College of Education

Reading and Elementary Education

Names: Laura Butler, Melanie Kriksciun, and Kalie Lang

Integrated, Thematic Problem Solving Unit: Wild About Math (Safari)

Grade Level: 1st

Arithmetic Topic (operation): Addition

HIERARCHY STEP #: Understanding of the addition operation—action language; addition of one digit by one digit (basic facts to 10).

THEME PROBLEM #: One growing baby elephant named Max is hungry. Max’s mom gives him 3 noodles to eat as a snack. Max is still hungry so his mom gives him 4 more noodles to eat. How many noodles did Max eat in total?

*SW make a necklace using noodles (as the concrete manipulative) to help them solve word problems.

Summary Table

Action Language: JOINED WITH

Open Number Sentence: 3 + 4 = ?

Manipulatives: Noodles (concrete; one-to-one correspondance)

Quantitative Solution: 7

Referential Meaning: Noodles

CONCRETE MANIPULATIVE: Noodles

REPRESENTATIONAL MANIPULATIVE: N/A

TRANSITIONAL ACTIVITIES: Counting addition game (

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STUDENT PROBLEMS

1. There are 4 baby elephants and 5 adult elephants in the family. How many total family members are there?

2. Today while I was sitting in the animal hospital, I saw 3 baby elephants, 3 momma elephants, 5 baby rhinos and 5 momma rhinos. How many total elephants did I see at the animal hospital?

3. During the William’s family Safari adventure, they drove their safari jeep to all the sections of the wild. They saw a total of 5 elephants in one family and a total of 3 elephants in the other family. How many elephants did the William’s see on their Safari adventure?

4. There were 6 elephants at the water hole. 3 more elephants walk over to the water hole. How many elephants are at the water hole?

5. My brother decided to have a safari theme birthday party. My brother invited both boys and girls to the party, so we made 7 girl elephant hats, 2 boy grey elephant hats, 8 green tiger hats, and 4 pink tiger hats. How many elephant hats did we make?

6. For my brother’s safari theme party, he decided that he wanted elephant cupcakes instead of a cake. He also wanted the cupcakes to be chocolate and strawberry flavor. 2 kids at the party had chocolate cupcakes and 6 kids at the party had chocolate. How many cupcakes were eaten at the party?

7. During lunchtime in Miss. Lynches class, the students got to choose what kind and color safari animal they wanted to be for field day. 9 students wanted to be black elephants, 1 student wanted to be a green elephant, 4 students wanted to be a yellow monkey, and 9 students wanted to be a rainbow monkey. How many students in Miss. Lynches class wanted to be an elephant?

8. In the herd of elephants there are 4 girl elephants and 3 boy elephants. How many elephants are in the herd?

STUDENT ANSWER KEY:

1.Quantitative Meaning: 9

Referential Meaning: elephants

2.Quantitative Meaning: 6

Referential Meaning: elephants

3.Quantitative Meaning: 8

Referential Meaning: elephants

4.Quantitative Meaning: 9

Referential Meaning: elephants

5. Quantitative Meaning: 9

Referential Meaning: elephants

6. Quantitative Meaning: 8

Referential Meaning: elephants

7. Quantitative Meaning: 10

Referential Meaning: elephants

8. Quantitative Meaning: 7

Referential Meaning: elephants

Day 2

CAMMP 2002

College of Education

Reading and Elementary Education

Names: Laura Butler, Melanie Kriksciun, Kalie Lang

Integrated, Thematic Problem Solving Unit: Wild About Math (Safari)

Grade Level: 1st grade

Arithmetic Topic (operation): Addition

HIERARCHY STEP #: Addition of one digit by one digit (basic facts to 10, no regrouping).

THEME PROBLEM #: There are 5 crazy monkeys hanging from a banana tree. 4 of their monkey friends climb up to join them on the tree. How many monkeys are now hanging on the banana tree?

Summary Table

Action Language: JOINED WITH

Open Number Sentence: 5 + 4 = ?

Manipulative: Cuisenaire Rods

Quantitative Solution: 9

Referential Meaning: Monkeys

CONCRETE MANIPULATIVE: Cuisenaire Rods

REPRESENTATIONAL MANIPULATIVE: N/A

TRANSITIONAL ACTIVITIES: Addition problems (

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STUDENT PROBLEMS:

1. 1 gazelle is leaping through a field to meet up with 2 of his friends. How many gazelles are there all together?

2. There are 2 parrots on a tree branch squawking to 3 more parrots in the next tree over. How many parrots are there?

3. 3 baboons are leaping through the trees while 5 more baboons are watching them on the ground. How many baboons are there in total?

4. A group of buffalo are taking a break from their long walk. 1 buffalo waits on the path and keeps watch while the other 4 take a drink from the watering hole. How many buffalo are on the walk?

5. Explorers are trekking through the wilderness in anticipation to see cheetahs. The explorers spot 7 cheetahs in the morning and 3 cheetahs in the afternoon. How many cheetahs did they see that day?

6. There are 2 adult blue monkey’s watching their 6 baby blue monkey’s play hide and seek in the tree. How many blue monkey’s are there total?

7. 8 bush pigs are eating lunch. They invite their 2 friends to join them in their feast. How many bush pigs are eating lunch?

8. There is 1 zebra crying all by himself. 9 other zebra’s come to see if he is ok. How many zebras are there?

STUDENT ANSWER KEY:

1.Quantitative Meaning: 3

Referential Meaning: gazelles

2.Quantitative Meaning: 5

Referential Meaning: parrots

3.Quantitative Meaning: 8

Referential Meaning: baboons

4.Quantitative Meaning: 5

Referential Meaning: buffalo

5. Quantitative Meaning: 10

Referential Meaning: cheetahs

6. Quantitative Meaning: 8

Referential Meaning: blue monkeys

7. Quantitative Meaning: 10

Referential Meaning: bush pigs

8. Quantitative Meaning: 10

Referential Meaning: zebras

Day 3

CAMMP 2002

College of Education

Reading and Elementary Education

Names: Laura Butler, Melanie Kriksciun, Kalie Lang

Integrated, Thematic Problem Solving Unit: Wild About Math (Safari)

Grade Level: 1st Grade

Arithmetic Topic (operation): Addition

HIERARCHY STEP #: Addition of two digit by one digit (no regrouping)

THEME PROBLEM #: During their stay in Africa, 12 explorers decide to go on a safari adventure to explore the African wilderness. They meet up with the 4 safari guides at their Jeeps to go see the animals. How many people are going on the adventure?

Summary Table

Action Language: JOINED WITH

Open Number Sentence: 12 + 4 = ?

Manipulative: Base 10 Blocks

Quantitative Solution: 16

Referential Meaning: People

CONCRETE MANIPULATIVE: If needed, we will use the unifix cubes (remediation).

REPRESENTATIONAL MANIPULATIVE: Base 10 Blocks

TRANSITIONAL ACTIVITIES: Base 10 Addition Games (

STUDENT PROBLEMS:

1. 3 explorers drive their Jeep off the path. While cruising through the African wilderness, they see a pack of 5 lions and call the other 15 explorers to come see them too. How many explorers are watching the lions?

2. There are 10 pink flamingos sunbathing near the water hole. 6 parrots fly over and join the flamingos at the water hole. How many birds are at the water hole now?

3. There are 12 baby giraffes wandering in the safari grass. 3 other baby giraffes are running ahead of the rest of the group. How many baby giraffes are there?

4. 21 monkeys are eating bananas. 4 other monkeys who don’t like bananas are eating bugs instead. How many monkeys are eating?

5. There are 13 zebras in the herd with blue stripes. There are 4 zebras in the herd with pink stripes. How many zebras are in the herd?

6. A group of 11 cheetahs are hunting for antelope. 8 tigers join the cheetahs to hunt for antelope too. How many wild cats are hunting for antelope?

7. A safari explorer is attacked by a swarm of mosquitos. The explorer finds 22 mosquito bites on his legs and 6 mosquito bites on his arms. How many mosquito bites does the explorer have?

8. There are 10 crocodiles swimming in the water hole. 4 more crocodiles are sunbathing at the water hole. How many crocodiles are at the water hole?

STUDENT ANSWER KEY:

1.Quantitative Meaning: 18

Referential Meaning: explorers

2.Quantitative Meaning: 16

Referential Meaning: birds

3.Quantitative Meaning: 15

Referential Meaning: baby giraffes

4.Quantitative Meaning: 25

Referential Meaning: monkeys

5. Quantitative Meaning: 17

Referential Meaning: zebras

6. Quantitative Meaning: 19

Referential Meaning: wild cats

7. Quantitative Meaning: 28

Referential Meaning: mosquito bites

8. Quantitative Meaning: 14

Referential Meaning: crocodiles

Day 4

CAMMP 2002

College of Education

Reading and Elementary Education

Names: Laura Butler, Melanie Kriksciun, Kalie Lang

Integrated, Thematic Problem Solving Unit: Wild About Math (Safari)

Grade Level: 1st Grade

Arithmetic Topic (operation): Addition

HIERARCHY STEP #: Addition of two digit by one digit (with regrouping)

THEME PROBLEM #: A hungry tiger is hunting for food. He spots 24 zebras eating grass in an open field. 7 more zebras walk up and start eating grass too. How many zebras does the cheetah see now?

Summary Table

Action Language: JOINED WITH

Open Number Sentence: 24 + 7 = ?

Manipulative: Base 10 Blocks

Quantitative Solution: 31

Referential Meaning: Zebras

CONCRETE MANIPULATIVE: If necessary, we will use unifix cubes (remediation).

REPRESENTATIONAL MANIPULATIVE: Base 10 Blocks

TRANSITIONAL ACTIVITIES: Addition problems (base 10, basic facts)

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STUDENT PROBLEMS:

1. A mother crocodile lays 36 eggs in the morning. A little later in the afternoon, she lays 8 more eggs. How many eggs did the mother crocodile lay?

2. A flock of 49 flamingos are sleeping on one leg in the water hole. 3 more flamingos fall asleep with one leg up a couple minutes later. How many flamingos are sleeping with one leg up?

3. A safari explorer sees 22 adult giraffes eating leaves from the treetops. When the explorer gets closer, she realizes there are 9 baby giraffes hiding behind the adult giraffes’ legs. How many giraffes did the safari explorer see?

4. A prairie dog digs 34 holes during the middle of the night. The next day, another prairie dog digs 6 more holes. How many holes did the prairie dogs dig altogether?

5. A speedy cheetah runs 55 miles to meet up with his friends. Then, the cheetah and his friends run 7 more miles to their den. How many miles did the cheetah run?

6. A group of safari explorers take 23 jeeps to get to their campsite. The safari guides already have 8 jeeps parked at the campsite. How many jeeps are there altogether?

7. A snake has 33 black scales on its body. There are 9 green scales on its body too. How many scales are on the snake’s body?

8. An African roadrunner runs across the African plains for 46 days. He stops to take a break and get some rest. He starts again and runs for 5 more days. How many days did the roadrunner run for?

STUDENT ANSWER KEY:

1.Quantitative Meaning: 44

Referential Meaning: eggs

2.Quantitative Meaning: 52

Referential Meaning: flamingos

3.Quantitative Meaning: 31

Referential Meaning:giraffes

4.Quantitative Meaning: 40

Referential Meaning: holes

5. Quantitative Meaning: 62

Referential Meaning: miles

6. Quantitative Meaning: 35

Referential Meaning: jeeps

7. Quantitative Meaning: 42

Referential Meaning: scales

8. Quantitative Meaning: 51

Referential Meaning: days

Day 5

CAMMP 2002

College of Education

Reading and Elementary Education

Names: Kalie Lang, Melanie Kriksciun, and Laura Butler

Integrated, Thematic Problem Solving Unit: Wild About Math (Safari)

Grade Level: 1st Grade

Arithmetic Topic (operation): Addition

HIERARCHY STEP #: Addition of two digits by two digit (no regrouping)

THEME PROBLEM #: There are 71 animals at the local zoo. Last week, 15 Rhino’s were added to the group. How many animals are not at the zoo?

Summary Table

Action Language: JOINED WITH

Open Number Sentence: 71 + 15 = ?

Manipulatives: Base 10 Blocks

Quantitative Solution: 86

Referential Meaning: Animals

CONCRETE MANIPULATIVE: n/a

REPRESENTATIONAL MANIPULATIVE: Base 10 blocks

TRANSITIONAL ACTIVITIES: Addition games

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STUDENT PROBLEMS:

1. During the last segment of the African Safari tour, the tour guide told all the children that there were 89 warthogs that lived in this part of the safari. Two weeks ago a mom warthog had 10 babies. How many warthogs live in the Safari now?

2. For Monday’s tour of the Safari there are 31 students signed up. Monday morning 27 more students signed up for the tour. How many total students will go on Monday’s Safari tour?

3. My lion has 63 strands of hair. When I recounted, I found 14 more strands of hair. How many strands of hair does my lion have?

4. For my safari theme birthday party my mom created 11 blue peacocks and 44 girl peacocks. How many peacocks did my mom make?

5. My pet giraffe is having a birthday party for his 7th birthday. He invited 45 of his closest animal friends. When the day of the party arrived, 20 more animal friends showed up. How many animals came to the birthday party?

6. Tomorrow, my family is getting a pet crocodile. My family has written down 36 names we could name our pet crocodile. Today, while eating dinner we came up with 12 more names. How many total names could we name our crocodile?

7. While on our African Safari trip, the tour guide asked us to count how many toes an Elephant has. One group came up with 66 and the other group came up with 31. How many total toes were counted?

8. On the first day my mom found 36 peacock feathers in our driveway. The second day my mom found 52 peacock feathers in our driveway. How many total peacock feathers did my mom find?

STUDENT ANSWER KEY:

1.Quantitative Meaning: 99

Referential Meaning: Warthogs

2.Quantitative Meaning: 58

Referential Meaning: Students

3.Quantitative Meaning: 77

Referential Meaning: Strains

4.Quantitative Meaning: 55

Referential Meaning: Peacocks

5. Quantitative Meaning: 65

Referential Meaning: Animals

6.Quantitative Meaning: 48

Referential Meaning: Crocodile Names

7. Quantitative Meaning: 97

Referential Meaning: Toes

8. Quantitative Meaning: 88

Referential Meaning: Peacock Feathers

Day 6 (enrichment)

CAMMP 2002

College of Education

Reading and Elementary Education

Names: Laura Butler, Kalie Lang, Melanie Kriksciun

Integrated, Thematic Problem Solving Unit: Wild About Math (Safari)

Grade Level: 1st Grade

Arithmetic Topic (operation): Addition

HIERARCHY STEP #: Addition of two digit by one digit (no regrouping), expanded form

THEME PROBLEM #: A group of safari travelers are camping in tents for the duration of their stay. One of them accidentally leaves the zipper door open. When they go to bed that night, they each crawl in their sleeping bags. One of the travelers notices that there are beetles inside the tent! They count 26 beetles flying around inside the tent and 3 beetles inside one of their sleeping bags! How many beetles are there inside the tent?

Summary Table

Action Language: JOINED WITH

Open Number Sentence: 26 + 3 = ?

Manipulative: N/A

Quantitative Solution: 29

Referential Meaning: Beetles

CONCRETE MANIPULATIVE: N/A

REPRESENTATIONAL MANIPULATIVE: N/A

TRANSITIONAL ACTIVITIES: Expanded form

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STUDENT PROBLEMS:

1. There are 33 zebras running in a pack. They meet up with 2 more zebras. How many zebras are there now?

2. 5 Parrots are perched on a branch relaxing. They see a flock of 41 more parrots fly by. How many parrots would there be if the 5 perched parrots joined the flock?

3. There are 26 scorpions hiding in the sand. There are 2 more scorpions sunbathing. How many scorpions are there in total?

4. If there are 5 spider webs in one tree and there are 62 spider webs in the neighboring tree. How many spider webs are there in total?

5. There are 72 safari guides working on a busy Saturday morning. On Saturday evenings, there are only 6 safari guides. How many guides work on Saturday?

6. 27 North Carolina schools traveled to Africa and are registered to go on the Saturday morning safari. When they arrive Saturday morning, there are 3 other schools from South Carolina registered to go on the safari with them. How many schools are registered to go on the Saturday morning safari?

7. On a safari, Jason and his sister Erin saw a stampede of elephants and a pack of warthogs. When Jason counted the elephants, he counted 51. When Erin counted the warthogs, she counted 8. How many animals were there combined?

8. A group of tourists were watching pink flamingos from the jeep. They see that there are 72 flamingos on one side of the water hole and 4 flamingos on the other side of the water hole. How many flamingos did the tourists see in total?

STUDENT ANSWER KEY:

1.Quantitative Meaning: 35

Referential Meaning: zebras

2.Quantitative Meaning: 46

Referential Meaning: parrots

3.Quantitative Meaning: 28

Referential Meaning: scorpions

4.Quantitative Meaning: 67

Referential Meaning: spider webs

5.Quantitative Meaning: 78

Referential Meaning: safari guides

6. Quantitative Meaning: 30

Referential Meaning: schools

7. Quantitative Meaning: 59

Referential Meaning: animals

8.Quantitative Meaning: 76

Referential Meaning: flamingos