The Great Divide:
Land and Sea
4th Grade Division Curriculum
2015 Math Cammp
Teachers: Debi Moore. Emily Paxton, Meg Peak, and Stephanie Hahn
Day 1
Names: Debi Moore. Emily Paxton, Meg Peak, and Stephanie Hahn
Integrated, Thematic Problem Solving Unit: The Great Divide between Land and Sea
Grade Level: 4th
Arithmetic Topic (operation): Division
HIERARCHY STEP #1
Review prior knowledge of multiplication (2x3 is the same as 3x2)
Understand action language for measurement and partition division
Introduce division of one digit x one digit numbers with Cuisenaire rods
THEME PROBLEM #1
Whales travel in pods. If there are 8 whales in total and four in each pod, how many
pods are there?
Summary Table
Action Language: 8 grouped into sets of 4, how many times?
Open Number Sentence: 8 ÷ 4 = 2
Manipulative: Cuisenaire Rods
Quantitative Solution: 2
Referential Meaning: pods
CONCRETE MANIPULATIVE: Cuisenaire rods
REPRESENTATIONAL MANIPULATIVE: N/A
TRANSITIONAL ACTIVITIES: Computer Activities
www.abcya.com
STUDENT PROBLEMS:
1. Mary is fishing on the pier and has caught 8 fish. If she put 4 fish in each cooler. How
many coolers does she have?
2. Kenya and her 7 friends are sitting on beach towels eating their lunch. If there are
four beach towels, how many people are on each towel?
3. Jack found 9 conch shells on the beach. He put them in 3 buckets. If he put the same
number in each bucket, how many conch shells are in each bucket?
4. There are 6 flounder swimming in the Atlantic Ocean. Three hammerhead sharks
swim up and see the flounder and immediately get hungry. How many fish will each
shark get to eat?
STUDENT ANSWER KEY:
1.
Quantitative Meaning: 2
Referential Meaning: coolers
2.
Quantitative Meaning: 2
Referential Meaning: people
3.
Quantitative Meaning: 3
Referential Meaning: conch shells
4.
Quantitative Meaning: 2
Referential Meaning: fish
Day 2
Names: Debi Moore. Emily Paxton, Meg Peak, and Stephanie Hahn
Integrated, Thematic Problem Solving Unit: The Great Divide between Land and Sea
Grade Level: 4th
Arithmetic Topic (operation): Division
HIERARCHY STEP #2
Review division of one digit x one digit numbers with Cuisenaire rods
Introduce division of two digits x one digit numbers with Cuisenaire rods and base 10
blocks
THEME PROBLEM #1
If there are 40 species of seahorse and 10 of those seahorses swim together in the
same group at all times. How many groups of seahorses do you have?
THEME PROBLEM #2
Zuri saw 35 starfish while walking on the shoreline. There were 5 groups in all. How
many starfish were in each group that Zuri saw?
Summary Table #1
Action Language: 40 grouped into sets of 10 how many times
Open Number Sentence: 40 ÷ 10 = 4
Manipulative: Cuisenaire rods
Quantitative Solution: 4
Referential Meaning: groups
Summary Table #2
Action Language: 35 grouped into 5 sets with how many in each set?
Open Number Sentence: 35 ÷ 7 = 5
Manipulative: Cuisenaire rods
Quantitative Solution: 7
Referential Meaning: starfish
CONCRETE MANIPULATIVE: Cuisenaire rods
REPRESENTATIONAL MANIPULATIVE: N/A
TRANSITIONAL ACTIVITIES: Computer Activities
http://www.fun4thebrain.com/Division/deepdivediv.html
STUDENT PROBLEMS:
1. Debi has 8 boxes of beach balls. Altogether there are 48 beach balls. How many
beach balls are in each box?
2. If Ivan and Parker find 48 shark teeth and each one wants to take the same number
the same number home? How many shark teeth will each boy get to take home?
3. There are 72 sea urchins poisonous spikes. If there are 8 groups of sea urchins, and
each sea urchin has the same number of poisonous spikes. How many sea urchins are
there altogether?
4. Dolphins use echolocation (locating prey by listening to echos) while hunting for food.
If a dolphin can hear prey 84 miles away, and it take him 2 minutes to reach the food.
How many miles did he swim each minute?
STUDENT ANSWER KEY:
1.
Quantitative Meaning: 7
Referential Meaning: Starfish
2.
Quantitative Meaning: 24
Referential Meaning: shark teeth
3.
Quantitative Meaning: 8
Referential Meaning: sea urchins
4.
Quantitative Meaning:42
Referential Meaning: miles each minute
Day 3
Names: Debi Moore. Emily Paxton, Meg Peak, and Stephanie Hahn
Integrated, Thematic Problem Solving Unit: The Great Divide between Land and Sea
Grade Level: 4th
Arithmetic Topic (operation): Division
HIERARCHY STEP #3
Review division of two digit x one digit numbers with base 10 blocks
Introduce division of three digit x one digit numbers with base 10 blocks
THEME PROBLEM #1
Each octopus has 8 arms. If there are 56 arms, how many octopus are there?
THEME PROBLEM #2
There are 100 people on the beach. There are 5 groups. How many people are in each
group?
Summary Table #1
Action Language: 56 grouped into sets of 8, how many times?
Open Number Sentence: 56 ÷ 8 = 7
Manipulative: Base 10 blocks
Quantitative Solution: 7
Referential Meaning: Octopus
Summary Table #2
Action Language: 100 grouped into sets of 5, how many in each set?
Open Number Sentence: 100 ÷ 20 = 5
Manipulative: Base 10 blocks
Quantitative Solution: 20
Referential Meaning: people
CONCRETE MANIPULATIVE: N/A
REPRESENTATIONAL MANIPULATIVE: Base 10 blocks
TRANSITIONAL ACTIVITIES: Computer Activities
http://www.multiplication.com/games/division-games
STUDENT PROBLEMS:
1. A group of fish is called a school. If there are 60 fish swimming in 5 schools, how
many fish are in each school?
2. Collette has 36 people in her family. One bottle covers two people. How many bottles
of sunblock does she need to take to the beach?
3. Morris is a fisherman catching lobster for a local restaurant. On Monday he caught
343 lobster in 7 hours. How many lobster did he catch each hour?
4. There are 180 students and 9 umbrellas set up on the beach. How many students
can fit under the umbrella?
STUDENT ANSWER KEY:
1.
Quantitative Meaning: 12
Referential Meaning: fish
2.
Quantitative Meaning: 18
Referential Meaning: bottles of sunblock
3.
Quantitative Meaning: 49
Referential Meaning: 49 lobsters
4.
Quantitative Meaning: 20
Referential Meaning: 20 students under 1 umbrella
Day 4
Names: Debi Moore. Emily Paxton, Meg Peak, and Stephanie Hahn
Integrated, Thematic Problem Solving Unit: The Great Divide between Land and Sea
Grade Level: 4th
Arithmetic Topic (operation): Division
HIERARCHY STEP #4
Review of division with 3 digit x one digit numbers with base 10 blocks
Introduce division of three digit x one digit numbers with expanded form and base 10
blocks
THEME PROBLEM #1
There are 300 killer whales swimming in the Atlantic Ocean. If there are 2 pods of killer
whales. How many killer whales are swimming in each pod?
THEME PROBLEM #2
A blue whale swam 456 miles to find more kelp. If he swam 229 miles each day, how
many days did it take him?
Summary Table #1
Action Language: 300 grouped into 2 sets with how many in each set?
Open Number Sentence: 300 ÷ 150 = 2
Manipulative: Base 10 blocks
Quantitative Solution: 150
Referential Meaning: killer whales
Summary Table #2
Action Language: 456 grouped into sets of 229, how many times?
Open Number Sentence: 456 ÷ 229 = 2
Manipulative: Expanded form and Base 10 blocks
Quantitative Solution: 2
Referential Meaning: days
CONCRETE MANIPULATIVE: N/A
REPRESENTATIONAL MANIPULATIVE: Base 10 blocks
TRANSITIONAL ACTIVITIES: Computer Activities
STUDENT PROBLEMS:
1. It is snack time at the beach. There are 780 calories in 6 granola bars. How many
calories are there in each granola bar?
2. A pod of whales weighs 600 tons. There are 3 whales in the pod. How much does
each killer whale weigh?
3. A 4th grade class takes a trip to the beach. They took 150 slices of bread with them
to feed the seagulls. If each student gets 3 slices of bread. How many students went on
the trip?
4. You are sitting on the beach reading a book with 120 pages. If you want to finish the
finish the book before you go home in 5 days, and you read the same number of pages
each day, how many pages did you read each day?
STUDENT ANSWER KEY:
1.
Quantitative Meaning: 130
Referential Meaning: calories
2.
Quantitative Meaning: 200
Referential Meaning: tons
3.
Quantitative Meaning: 50
Referential Meaning: students
4.
Quantitative Meaning: 60
Referential Meaning: pages
Day 5
Names: Debi Moore. Emily Paxton, Meg Peak, and Stephanie Hahn
Integrated, Thematic Problem Solving Unit: The Great Divide between Land and Sea
Grade Level: 4th
Arithmetic Topic (operation): Division
HIERARCHY STEP #5
Review of three digit numbers x one digit numbers with base 10 blocks and expanded
form
Division of three digit numbers x one digit numbers with expanded form
Introduce division of three digit number x one digit number with standard algorithm
THEME PROBLEM #1
Kelly and her friends, Molly and Sarah, are traveling Florida to see sea turtles
hatch. The trip is going to cost $420 total. Kelly and her friends are splitting the
cost. How much will each friend pay?
Summary Table
Action Language: grouped into
Open Number Sentence: 420 ÷ 3 =
Manipulative: base 10
Quantitative Solution: 140
Referential Meaning: $140 each
CONCRETE MANIPULATIVE: N/A
REPRESENTATIONAL MANIPULATIVE: Base 10 blocks
TRANSITIONAL ACTIVITIES: Computer Activities/Expanded Form
http://www.mathplayground.com/wpdatabase/MDLevel1_1.htm
STUDENT PROBLEMS:
1. John takes care of sea turtles in Atlanta, Georgia at the world’s largest
Aquarium. John needs to feed a bucket of sea grass to each sea turtle. He has 5
buckets. Altogether the buckets weigh 150 pounds. How much does each bucket
weigh?
2. Kelly and her friends made it to Florida. Kelly witness 6 nest of sea turtles being born.
Each nest had the same amount of sea turtles in each nest. Altogether, she witness
516 sea turtles. How many sea turtles were in each nest?
3. Jim works for the National Save the Sea Turtles Foundation. His main job is to travel
to schools and educate students on sea turtles conservation. Jim travels with 136 baby
sea turtles. He keeps 8 turtles in a tank. How many tanks does Jim need for his sea
turtles?
4. Debi is a veterinary at the Asheboro Zoo. Everyday Debi has to give each sea turtle
one vitamin. The Zoo has 310 sea turtles in total. Each box of vitamins contains 20
vitamins. If each sea turtle gets on vitamin, how many boxes will Debi need?
STUDENT ANSWER KEY:
1.
Quantitative Meaning: 30
Referential Meaning: pounds
2.
Quantitative Meaning: 86
Referential Meaning: 86 turtles per nest
3.
Quantitative Meaning: 17
Referential Meaning: 17 tanks needed
4.
Quantitative Meaning: 15
Referential Meaning: 15 boxes needed
Day 6
Names: Debi Moore. Emily Paxton, Meg Peak, and Stephanie Hahn
Integrated, Thematic Problem Solving Unit: The Great Divide between Land and Sea
Grade Level: 4th
Arithmetic Topic (operation): Division
HIERARCHY STEP #6
Division of three digit number with one digit number with the standard algorithm
THEME PROBLEM #1
Meg was at the beach for five days and found 280 seashells. She plans to give all
seashells equally to her 4 friends. How many seashells will each friend get?
THEME PROBLEM #2
Meg decided to go to the gift shop and buy all her friends and family as souvenir. She
has $185 to spend. Each t-shirt that she wants to buy cost $5. How many people is she
able to buy a t-shirt for?
Summary Table #1
Action Language: 280 grouped into 4 sets with how many in each set?
Open Number Sentence: 280 ÷ 70 = 4
Manipulative: N/A Standard Algorithm
Quantitative Solution: 70
Referential Meaning: seashells
Summary Table #2
Action Language: 185 grouped into sets of 5, how many times?
Open Number Sentence: 185 ÷ 5 = 37
Manipulative: N/A Standard Algorithm
Quantitative Solution: 37
Referential Meaning: 37 people
CONCRETE MANIPULATIVE: N/A
REPRESENTATIONAL MANIPULATIVE: N/A Standard Algorithm
TRANSITIONAL ACTIVITIES: Computer Activities
http://www.abcya.com/math_quiz.htm
STUDENT PROBLEMS:
1. Emily goes fishing with Debi. They catch 140 trout. If they equally split the trout, how
much will each one get?
2. Each clownfish has 5 white stripes. If you are scuba diving and see a total of 225
stripes swimming in the coral reef. How many clownfish are there.
3. There are 450 sand dollars on the beach. If there are 9 students collecting the sand
dollars and they all get the same amount. How many will each student get?
4. There are 350 total students on a boat. There are only 7 rows available for students
to sit on during the boat ride. How many students will fit in each row?
STUDENT ANSWER KEY:
1.
Quantitative Meaning: 70
Referential Meaning: clownfish
2.
Quantitative Meaning: 45
Referential Meaning: clownfish
3.
Quantitative Meaning: 50
Referential Meaning: sand dollars
4.
Quantitative Meaning: 50
Referential Meaning: 50 students per row
Additional Activities
 Shark Game - one person is the shark and the rest are fish. We will put hula
hoops on the floor to represent islands. When we say go, the students have to
divide evenly into the hula hoops.
Computer Games
http://www.fun4thebrain.com/Division/deepdivediv.html (skill and drill; goes with our theme)
http://www.fun4thebrain.com/Division/luckydiv.html (skill and drill)
http://www.fun4thebrain.com/Division/reindeercafediv.html (skill and drill)
http://www.fun4thebrain.com/Division/superherocostumediv.html
http://www.fun4thebrain.com/Division/colorvacdiv.html
http://www.mathplayground.com/ASB_Pony_Pull_Division.html
http://www.mathplayground.com/wpdatabase/MDLevel1_1.htm (word problems, might have
some multiplication)
http://www.multiplication.com/games/division-games (ALL GOOD GAMES)
http://www.hoodamath.com/games/division.html (all of games)
http://www.mathplayground.com/visual_division/dare_to_share_fairly.html (place values)
http://www.sheppardsoftware.com/mathgames/fruitshoot/fruitshoot_division.htm
http://interactivesites.weebly.com/division.html
http://mrnussbaum.com/division_games/
http://www.abcya.com/division_drag_race.htm
http://www.abcya.com/math_man.htm (PACMAN)
http://www.abcya.com/math_bingo.htm
http://www.abcya.com/math_quiz.htm (QUIZ)