Transcript View this Powerpoint to review lessons from Topic 6.

Grade 4
EnVisions Math
Topic 6
Power Point Lessons
Lesson 6-1
CCSS 4.NBT.5
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4X8
9X7
5X5
3X6
8X6
7X7
We use arrays to solve multiplication problems
by representing the problem as a number of
rows with equal objects in each row. In real life
what can you think of that comes in rows?
 Array: A
strategy used to solve a multiplication
problem by drawing equal rows with an equal
number of objects in each row.
 Example: For the problem 2 x 4, you would make 2
rows with 4 objects in each row.
 How can you make an array to show 4 X 12?
 Look at the tens and ones in the 12 as two different
numbers. Make an array for 4 X 1, and another for
4 X 2.
 Remember that since the 1 is in the tens place,
and 4 X 1 = 4, it is really worth 40. 4 X 2 = 8
 Now add 40 + 8.
Thomas arranges his video games in 4
rows with 16 games in each row. Build an
array to show Thomas’ games.
Sadie bakes 3 rows of cupcakes with 14
cupcakes in a row. Build an array to find out how
many cupcakes Sadie baked.
Josh puts his baseball cards in 4 rows with
26 cards per row. Build an array to find how
many cards Josh has in all.
Sean puts his dinosaurs into 3 rows with 22
dinosaurs in each row. Build an array to see how
Sean arranged his dinosaurs and find his total
number of dinosaurs.
Mariana bakes cookies in 6 rows with 16
cookies per row. Build an array to find out
how many cookies Mariana baked in all.
How many more stamps are in 4 rows of rocket
stamps than 5 rows of flower stamps?
Type of Stamps
Rocket
Presidents
Flower
Number Per Row
30
24
22
CONNECTING THE EXPANDED AND
STANDARD ALGORITHMS
Lesson 6-2
CCSS 4.NBT.5, 4.OA.3
WARM UP
Write the fact family for 8, 9, and 72.
THINK AND WRITE
What is your favorite strategy for multiplying
larger numbers? Why do you prefer this strategy?
EXPANDED ALGORITHM METHOD
The plane can hold 72 people. How many people
can 6 planes hold?
72
X 6
 First do 6 X 70 = 420. Then do 6 X 2 = 12. Add
420 + 12 = 432.
CLASSIC MULTIPLICATION METHOD
The plane can hold 72 people. How many people
can 6 planes hold?
• Write the multiplication number sentence. Solve
with regrouping:
72
X 6
SOLVE!
Solve using the expanded algorithm method.
 43 X 5
 64 X 4
 72 X 7
 87 X 3
SOLVE!
Solve using the classic method.
 56 X 4
 78 X 3
 92 X 6
 17 X 8
PROBLEM 1
Marina makes $56 a day babysitting. If she
babysits for 6 days, how much money will she
make? Choose from the expanded algorithm
method or the classic method and solve.
PROBLEM 2
A ticket to the zoo costs $23 per person. If Mr.
Shelby buys 7 tickets, how much does he
spend? Choose from the expanded algorithm
method or the classic method and solve.
PROBLEM 3
An extra large pizza at Rino’s costs $19. If the
football team buys 8 pizzas, how much money
will they spend? Choose from the expanded
algorithm method or the classic method and
solve.
PROBLEM 4
There are 27 children in each class. If there are
6 classes, how many children are there in all?
Choose from the expanded algorithm method
or the classic method and solve.
MULTIPLYING 2 DIGIT
BY 1 DIGIT NUMBERS
Lesson 6-3
CCSS 4.NBT.5, 4.OA.3
Warm Up
Put these numbers in order from least to
greatest.
4,576
5,476
5,647
4,765
Think and Write
What careers require a person to
master multiplication?
Checking Answers
•When you multiply larger numbers, it is
helpful to check to see if your answer is
correct by using estimation. Estimation, or
rounding, allows you to see if your answer is
close to the estimate.
•When estimating, round to the nearest TEN
for the closest estimate.
Rounding Review
•When rounding to the nearest ten, look at
the ONES place.
•Remember if the number is four or lower,
round DOWN. If the number is five or higher,
round UP.
Rounding Song (to the tune of “If You’re Happy & You Know It”
When you round, look at the place to the right. When you round,
look at the place to the right. When you’re rounding a number
always look to the right place. When you round look at the place
to the right.
If the number’s 4 or lower, you round down. If the number’s 4 or
lower, you round down. If the number’s 4 or lower, then the
number will be smaller. If the number’s 4 or lower, you round
down.
If the number’s 5 or higher, you round up. If the number’s 5 or
higher you round up. If the number’s 5 or higher, then the
number will be bigger. If the number’s 5 or higher, you round up.
Estimation Practice
•Round these numbers to the nearest ten.
• 456
• 712
• 998
• 1,342
• 5,677
Multiply, then Check!
•
•
•
•
•
Multiply to solve. Then estimate to check.
45 X 7
64 X 8
32 X 9
56 X 3
Problem 1
• A bus holds 54 people. If there are 7
buses, how many people can they
hold in all? Solve, then estimate to
check.
Problem 2
• A football team has 45 players that are
active on game day. How many players
are active if there are 6 teams playing
today? Solve, then estimate to check.
Problem 3
• Mrs. Monroe drives 38 miles to and
from work every day. How many miles
does she drive this week if she works 6
days? Solve, then estimate to check.
MULTIPLYING 3 AND 4 DIGIT BY
1 DIGIT NUMBERS
Lesson 6-4
CCSS 4.NBT.5
WARM UP
Put these numbers into standard form.
 100,000 + 3,000 + 400 + 7
Fifty two thousand forty three
 500,000 + 10,000 + 500 + 30 + 6
 Six hundred fifty four thousand ninety two
THINK AND WRITE
 When might you have to multiply larger
numbers (3 and 4 digit numbers) in your
everyday life?
MULTIPLYING BY LARGER NUMBERS
 Just as in multiplying with 2 digit X 1 digit
numbers, you can use either the classic
multiplication method or the partial products
(expanded algorithm) method.
 To multiply with the classic method, you multiply
and regroup if needed. Try it!
734
X 8
PARTIAL PRODUCTS MULTIPLICATION
 Multiplying with partial products can be a good strategy
for multiplying larger numbers. Let’s say you have to
solve 456 X 8.
 456
X 8 First multiply the ones. 6 X 8= 48.
Then multiply the tens. 50 X 8 = 400.
Finally multiply the hundreds. 400 X 8 = 3200.
Add the numbers together to find the product.
3200 + 400 + 48 = 3,648
MULTIPLY!
 Choose the method you prefer to solve.





762 X 4
337 X 6
125 X 8
492 X 3
651 X 7
PROBLEM 1
 There are 365 days in one year. How many
days are there in 6 years? Choose your
preferred method and solve.
PROBLEM 2
 Carl makes $869 a week. How much money
does he make in 4 weeks?
PROBLEM 3
 A plane ticket costs $287. How much would
4 plane tickets cost?
Multiplying by 1 Digit
Numbers
Lesson 6-5
CCSS 4.NBT.5, 4.NBT.3, 4.OA.3
Warm Up
Estimate, then solve.
 462 + 199
 308 + 296
 917 + 864

Think and Write
Tell about a time when you have
had to multiply three digit by one
digit numbers in your everyday
life.

Estimating to Check
When you multiply large numbers,
you can check your work by
estimating. If the actual sum is close
to your estimate, then it is
reasonable.
 Rounding to the nearest ten gives
you the closer estimate than rounding
to the nearest hundred.

Rounding Roundup
Round these numbers to the nearest
TEN.
 283




947
698
1,031
5,259
Practice!
Find
each product. Then estimate to
check for reasonableness.
 449 X 4
 382 X 2
 905 X 8
 557 X 7
Problem 1
When Miya visits her grandmother,
she drives 218 miles. If she visits her
grandmother 4 times a month, how
many miles does Miya drive in all?
Find your product and estimate to
check for reasonableness.
Problem 2
A male gorilla weighs about 359
pounds. How much would 7 male
gorillas weigh altogether? Find your
product and estimate to check for
reasonableness.
Problem 3
Antonio makes $262 a day at work.
If he works 6 days this week, how
much will he make? Find your
product and estimate to check for
reasonableness.
Problem 4
Sarah is on vacation for 4 days. Every
morning she buys breakfast for $12,
lunch for $18 and dinner for herself
and her family for $89. How much
does she spend in all during her
vacation? Find your product and
estimate to check for
reasonableness.
PROBLEM SOLVING: MISSING OR EXTRA
INFORMATION
Lesson 6-6
CCSS 4.NBT.5, 4.OA.3
WARM UP
Solve.
28 X 3
47 X 8
33 X 9
16 X 7
THINK AND WRITE
Tell about a time where you did not have
enough information to solve a problem. What
did you do, and were you able to solve the
problem?
STEPS TO PROBLEM SOLVING
Knowing steps to problem solving can help you in
figuring out what information is needed.
1. Read the problem carefully.
2. Underline the question(s) you are being asked.
3. Circle the information you need to solve.
4. Identify the operation you will use.
5. Solve.
PRACTICE PROBLEM
Use the problem solving steps to solve.
Mario swam 28 laps per day. Each lap took
him 3 minutes to swim. How many laps did he
swim in a week?
Is there any information here that you don’t
need to solve this problem? Cross it out. Then
solve.
PRACTICE PROBLEM 2
The length of a rectangular room is 16 feet.
What is its area?
What information is missing? Why do you
need this information to solve?
If the width is 7 feet, what is the area of this
room?
PROBLEM 1
Michaela has 4 rabbits. She buys each rabbit
a cage for $28. Each cage is 42 inches long
and 32 inches wide. How much does Michaela
spend on the cages in all?
PROBLEM 2
Eddie runs around the field 8 times. How many
yards does he run in all?
PROBLEM 3
Kira buys 8 watermelons for $3.25 each. Each
watermelon weighs 3 pounds. How much
money does Kira spend in all?
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