Download Topic 10 powerpoint

Grade 4 EnVisions
Math Topic 10
Power Point Lessons:
Dividing by 1 Digit Divisors
By Kristin Jason
USING OBJECTS TO
DIVIDE: DIVISION AS
REPEATED SUBTRACTION
C
Lesson 10-1
CCSS 4.NBT.6
Warm Up
• 72 ÷ 8
• 63 ÷ 7
• 54 ÷ 6
• 36 ÷ 4
• 27 ÷ 9
Think and Write
• How are division and subtraction
related?
Division as Repeated Subtraction
• How many piles of 5 objects can be made of 10
objects?
• To solve, subtract 10 – 5 = 5, and 5 – 5 = 0. 10 ÷ 5
= 2, since you subtracted twice to get to 0.
• 15 ÷ 5 = 15 – 5 = 10, 10 – 5 =5, 5 – 5 = 0. How
many times did you subtract?
• You subtracted 3 times. 15 ÷ 5 = 3
Practice!
• Use repeated subtraction to solve.
• 30 ÷ 2
• 60 ÷ 12
• 45 ÷ 3
• 80 ÷ 20
Problem 1
• Michael wants to divide 48 new
baseballs equally between 3 teams.
How many baseballs will each team
get?
Problem 2
• Dylan has 52 juice boxes. He wants to
divide them equally between his class
and his brother’s class. How many juice
boxes will each class get?
Problem 3
• Brittany makes 52 cookies. She wants
to divide them equally between 4
plates. How many cookies should she
put onto each plate?
Problem 4
• Principal Monroe has 51 new laptop
computers. She wants to divide them
equally between 3 classrooms. How
many laptops will each classroom get?
DIVISION AS REPEATED
SUBTRACTION
Lesson 10-2
CCSS 4.NBT.6
WARM UP






9–3
14 – 9
16 – 7
12 – 5
11 – 4
15 - 8
THINK AND WRITE
 Explain how division and subtraction are
related. How can you use subtraction to help
you divide?
DIVISION AND SUBTRACTION
How can you solve a division problem by using
subtraction?
 Example: 60 ÷ 12.To solve, keep subtracting 12
from 60 until you have nothing left. The number of
times you subtracted will be your answer.
 60 – 12 = 48 – 12 = 36 – 12 = 24 – 12 = 12 – 12 = 0
You subtracted 12 five times, so 60 ÷ 12 = 5.
PRACTICE!
Use repeated subtraction to solve.
 65 ÷ 5
 38 ÷ 2
 56 ÷ 4
 72 ÷ 6
 80 ÷ 5
PROBLEM 1
 Sean buys 68 seeds to put into his
garden. He wants to put the seeds into 4
equal rows with an equal number of
seeds in each row. How many seeds will
Sean put into each row?
PROBLEM 2
 Cindy takes 48 seeds out of a
watermelon. She puts the seeds into 3
equal piles. How many seeds does Cindy
put into each pile?
PROBLEM 3
 Gavin has 38 tomatoes. If he picked an
equal number of tomatoes from his 2
tomato plants, how many tomatoes did he
pick from each plant?
PROBLEM 4
 Farmer Brown has 76 apples that he
puts into 4 equal piles. How many apples
are in each pile?
Using Objects to Divide:
Division as Sharing
Lesson 10-3
CCSS 4.NBT.6, 4.NBT.1
Warm Up
36
 80
 55
 18
 21

÷
÷
÷
÷
÷
4
10
5
3
7
Think and Write
Tell about the last time you have
had to share an amount of objects
equally with a group of people.
Example: I had to share a plate of
12 cookies with 3 friends.

Division of Objects
What are some ways that you can solve
division problems?
 You can use basic facts and solve mentally.
 You can draw a picture and circle equal
groups.
 You can draw tens and ones to represent the
larger number and separate them into
groups.

Division with Remainders
Sometimes when you divide, you have
objects left over, called the remainder.
 Example: 20 ÷ 3. Circle to make equal
groups. How many are left over?

Practice!
 Solve. There may be remainders.
 16 ÷ 5
 26 ÷ 4
 32 ÷ 3
 55 ÷ 4
 46 ÷ 6
 38 ÷ 9
Problem 1
Marcy makes 50 muffins. She
wants to divide them into 4 equal
boxes. How many muffins should
she put into each box? How many
muffins will be left over?

Problem 2
Luke has 58 toy cars. He puts them
into 5 boxes when he cleans up. How
many cars does he put into each box if
he puts an equal number of cars into
every box? How many cars would he
have left over?

Problem 3
Mrs. Sanchez makes 4 salads. She
wants to put an equal number of
cherry tomatoes into each salad. If
she has 65 tomatoes, how many
tomatoes should she put into each
salad? How many will be left over?

Problem 4
Coach Tom has 54 baseballs. He
puts an equal number of baseballs
into 7 gym bags. How many
baseballs does he put into each
bag? How many are left over?

DIVIDING 2 DIGIT BY 1 DIGIT
NUMBERS
Lesson 10-4
CCSS 4.NBT.6
WARM UP
Solve.
12 X 7
8X8
14 X 3
16 X 9
17 X 4
THINK AND WRITE
Define the words DIVIDEND, DIVISOR, and
QUOTIENT. Explain what each part plays in
the process of division.
PROCESS OF DIVISION
42 ÷ 5
How many tens can go in each group?
Are there any tens remaining?
Subtract. How many items are left?
Bring down the number in the ones place.
How many items can you put into each group? Are
there any items remaining?
PRACTICE!
45 ÷
57 ÷
63 ÷
72 ÷
83 ÷
38 ÷
3
4
8
5
6
4
PROBLEM 1
Gavin is building Lego towers using 98 blocks.
He wants to use an equal amount of blocks for
each tower. If Gavin makes 4 towers, how
many blocks will he use for each? How many
blocks will be left over?
PROBLEM 2
Shauna makes 84 croissants for her brunch.
She divides the croissants equally on 3 trays.
How many croissants will she put onto each
tray? How many croissants will be left over
PROBLEM 3
Farmer Larry has 78 blueberry bushes to plant
for next season. He wants to plant them in 4
fields, with an equal number of bushes in each
field. How many blueberry bushes should
Farmer Larry plant in each field? How many
bushes will be left over when he is done?
PROBLEM 4
My dog Ace decides to bury 64 dog bones in
6 different holes. If Ace buried an equal
number of bones in each hole, how many bones
did he put in each hole? How many bones
were left over?
DIVIDING 3 DIGIT BY 1 DIGIT NUMBERS
Lesson 10-5
CCSS 4.NBT.6
WARM UP
56 ÷ 8
63 ÷ 7
54 ÷ 9
48 ÷ 6
64 ÷ 8
THINK AND WRITE
Explain the steps to dividing a two digit
number by a one digit number using the
example of 34 ÷ 3.
DIVIDING WITH 3 DIGIT NUMBERS
You know how to divide 2 digit by 1 digit numbers.
Today, you will divide 3 digit by 1 digit numbers.
Example:
PRACTICE!
Solve these problems for practice using the algorithm.
141 ÷ 8
257 ÷ 4
202 ÷ 5
328 ÷ 7
189 ÷ 3
422 ÷ 6
PROBLEM 1
There are 154 horses on the ranch. Jim wants
to put the horses into equal groups in 8
different fenced pastures and put the rest in
the barn. How many horses should he put in
each pasture? How many horses will he have
left?
PROBLEM 2
Stella has 198 fish at the pet store. She wants
to divide them equally between 9 tanks. How
many fish should she put into each tank? How
many fish will be left over?
PROBLEM 3
There are 207 tree frogs at the zoo that have
to be divided among 8 tanks equally. How
many tree frogs are there in each tank? How
many are left over in the holding tanks?
PROBLEM 4
Mrs. Stewart has $324. She wants to divide
the money equally among her 5 favorite
charities. How much money will each charity
get? How much money will be left over?
Deciding Where to Start
Dividing
LESSON 10-6
CCSS 4.NBT.6
Warm Up
Underline the digit in the hundreds place. Circle
the digit in the tens place.
712
549
836
328
Think and Write
How does understanding place value help you
with division?
Deciding Where to Start
Sample: Kim has 142 cotton balls and is making a snowman
craft that uses 3 cotton balls per snowman. How many crafts
will Kim make? How many cotton balls will Kim have left?
• What division problem can solve this?
• Divide hundreds. How many hundreds can you put in a group?
• Move to tens. How many tens can you put in each group?
• How many ones go in each group? How many ones remain?
Practice!
Divide. Use your knowledge of place value to help you.
 452 ÷ 8
 389 ÷ 5
 297 ÷ 7
 531 ÷ 9
 176 ÷ 4
Problem 1
Hala is making earrings with beads. She has 236
beads, and each pair of earrings uses 8 beads.
How many pairs of earrings can Hala make?
How many beads will Hala have left over?
Problem 2
Jose is making wooden cars. Each wooden car uses 4
wooden wheels. Jose has 178 wooden wheels. How
many cars can Jose make? How many wheels will he
have left over?
Problem 3
Chef Mario is making pizzas with pepperoni. He
has 183 pieces of pepperoni and wants to put
an equal number of pepperoni pieces onto 8
pizzas. How many pieces of pepperoni will Chef
Mario use on each pizza? How many pieces of
pepperoni will he have left?
Problem 4
Mrs. Perez’s students are making snowglobe crafts.
Each snowglobe craft uses 8 glitter snowflakes. If
Mrs. Perez has 154 glitter snowflakes, how many
snowglobe crafts can her students make?
DIVIDING 4 DIGIT BY 1 DIGIT
NUMBERS
Lesson 10-7
CCSS 4.NBT.6
WARM UP
Underline the digit in the hundreds place.
 4,567
 12,348
 9,675
 10,117
 3,974
THINK AND WRITE
 When might you have to divide larger
numbers like thousands and millions?
FOUR DIGIT DIVISION
 Start by looking at the thousands place. 4 cannot go into
2, so move to the hundreds place. How many times does 4
go into 26? Write the 6 on the “house” on top of the 6.
 Write 24 below 26 and subtract. How many are left? Bring
down the 3.
 How many times does 4 go into 23? Write the 5 on top
above the 3, then subtract 23 – 20.
 How many are left? Bring that number down. How many
times does 4 go into 32?
PRACTICE!






1,278 ÷ 8
4,935 ÷ 9
3,062 ÷ 4
2,789 ÷ 6
2,143 ÷ 5
5,922 ÷ 7
PROBLEM 1
 The fair committee sold 6,738 tickets at the
fair. If they sold an equal number of tickets
every night for 7 nights, how many tickets
did they sell each night?
PROBLEM 2
 The garden shop had a flower sale for 3
days. Each day, they sold an equal
number of flowers. If the shop sold 2,341
flowers during the sale, how many
flowers did they sell each day?
PROBLEM 3
 The store gets a shipment of 1,255
bananas. They divide the bananas
equally among 8 shelves. How many
bananas are on each shelf?
PROBLEM 4
 The bakery gets 1,845 strawberries.
They equally divide the strawberries
between 9 different recipes for the bakers
to make. How many strawberries will be
used for each recipe?
Problem Solving:
Multiple Step Problems
Lesson 10-8
CCSS 4.OA.3, 4.NBT.5
Warm Up






4X8
9X7
8X6
3X5
4X3
8X7
Think and
Write
 Tell about a problem that you
solved recently where the
problem had more than one step
to take to solve it. Explain how
you solved this problem, and the
steps you took to solve it.
Multiple
Step
Problems
1. Read the problem carefully.
2. Think: What problem or
problems am I being asked to
solve?
3. If there is more than one
problem, which one do I have
to solve first? Hint: Does
answering one help you
answer the other?
Practice
Problem
 Sarah has $35. She buys a scarf for
$15, a box of fruit snacks for $3,
and a gallon of milk for $4. Does
Sarah have enough money to buy
a book for $8? Explain.
1. What problem or problems am I
being asked to solve?
2. If there is more than one
problem, which one do I have to
solve first?
Problem 1
 Anna makes $15 an hour
when she babysits and $20 an
hour when she works at the
amusement park. If Anna
works 4 hours babysitting and
4 hours at the amusement
park, how much money does
she make in all?
Problem 2
The preschool has 8 tricycles and
9 bicycles on the playground
right now. How many wheels are
on the playground right now?
Problem 3
 Angela is making trail mix
cookies. One batch has 2 cups
of peanuts, 1 cup of raisins, 3
cups of oats and 2 cups of
dried fruit. How many cups of
oatmeal are in 8 batches?
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