Transcript Name of Activity - Innovative Educational Programs

Expanded Connections
Connecting Expanded and Standard Multiplication
Intermediate Math
CCS: 4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply
two-digit numbers, using strategies based on place value and the properties of operations. Illustrate
and explain the calculation by using equations, rectangular arrays, and/or area models.
This activity gives the student the opportunity to practice both the expanded and standard forms of
multiplying. They will strengthen their fact knowledge and their ability to solve problems mentally as
well as understanding the algebraic foundations of composing and decomposing numbers to solve
problems. An anchor page is included for use when introducing the station as well as having copies at
the station for student referral. Also included is an extra page of activity cards for teacher input.
What’s included:
□ Task Card in WORD (click on slide to open in WORD for editing OR open the separate TASK CARD
DOC on the website)
□ Activity Sheet
□ Anchor Chart
□ Student Activity Cards for self directed work
□ Materials Needed: Challenge Question Answer Sheets
□ Technology Connection
Copyright © 2013 Innovative Educational Programs.
Reproduction rights granted to CHILD Teachers and permitted only for use as instructional material. www.ieponline.com
____________ Station
Activity Name: Expanded Connections
Standard: Number and Operations in Base Ten
Skill/Objective: (COPY IN YOUR PASSPORT) Multiply using strategies
Directions:
1.
2.
3.
4.
5.
Work independently.
You will need a worksheet and a set of activity cards.
Shuffle the cards, spread them face down and select 10.
Write the card number on the worksheet.
Solve each of the word problems on the 10 cards using
both the expanded and standard algorithms.
Challenge: On a Challenge Question Answer Sheet, solve
these problems showing both the expanded and standard
algorithms:
214 x 6 =
518 X 4 =
3521 x 3 =
Reflection: Why is it important to know the expanded
algorithm as well as the standard algorithm?
WHEN COMPLETED
□ check
□ place in folder
□ hand in
□ other _________________
Intermediate Math
Copyright © 2013 Innovative Educational Programs. Reproduction rights granted to CHILD Teachers and permitted only for use
as instructional material. www.ieponline.com
STATION TASK CARD
Connecting Expanded and Standard
Multiplication
Problem: 12 chickens lay an average of 18 eggs
each day. How many eggs do they lay in 3
days?
Standard
Algorithm
Expanded
Algorithm
Find the partial products
18
X 3
24
+30
54
First, multiply the ones.
Regroup the tens if
needed.
2
18
X3
4
Then multiply
the tens. Add
the extra tens.
3 X 8 = 24
Regroup the 24 ones
as 2 tens, 4 ones.
Copyright © 2013 Innovative Educational Programs.
2
18
X3
54
3 x 1 ten = 3 tens
There are 2 extra tens
3 tens + 2 tens = 5 tens
Sally is making cupcakes.
She has to put them in
packages of 3. She needs 31
packages. How many
cupcakes does she need to
make?
Jessica is making dresses for
the dancers in a show. She
needs 4 yards of material to
make one dress. She has to
make 29 dresses. How many
yards of material does she
need?
1
2
Wilson bought 6 bags of
marbles. Each bag contains
27 marbles. How many
marbles did he buy?
Hector loves to run. He runs 7
miles every day. Last month
he ran 26 days. How many
miles did Hector run last
month?
4
Benji is having a birthday party.
He has invited 24 friends. He is
going to give each of them 9
candy bars as a treat. How many
candy bars does Benji have to
buy?
7
5
Kendra plays softball. She
has played in 28 games this
year. She has gotten on
base 5 times in each game.
How many times has Kendra
gotten on base?
3
The grocery store has 25
different types of cereal. The
clerk starts the day with 8
boxes of each type on the
shelf. How many boxes of
cereal are on the shelf?
6
23 kids came to Teresa’s
house on Halloween Trick or
Treat. She gave each kid 3
candies. How many candies
did Teresa give out?
Martha has 22 stuffed
animals in her room. Each of
the animals have 4 feet.
How many feet do they have
in all?
8
9
Henry rows his boat for 5 miles
every time he goes out in it.
Last month he went out 21
days. How many miles did
Henry row last month?
10
The coach wanted to get the
team some pizzas. He
bought 8 pizzas. Each pizza
was cut into 12 pieces. How
many pieces did the team
have to share?
13
Tanya takes dance lessons.
She practices for 4 hours
each day. After 14 days,
how many hours has Tanya
practiced?
Josie was putting sparkles on
her barrettes. She has 19
barrettes and she put 6
sparkles on each one. How
many sparkles did she need
to make them sparkly?
11
Mrs. Paulson had to correct a
lot of papers. She had 9
papers from each of her 16
students. How many papers
did she have to correct?
12
Josh really likes pickles on his
sandwiches. His mom puts 7
pickle slices on each sandwich.
He ate one sandwich a day for
15 days. How many pickles did
he eat on all the sandwiches?
14
Kylie and her sister have
collected 5 sets of doll dishes.
Each set of dishes contains 5
plates. How many plates do
they have in all?
16
Ruby is going to make
chocolate chop cookies. She
always puts 7 chunks of
chocolate in each cookie. This
time she needs to make 11
cookies. How many pieces of
chocolate does she need?
17
15
Brendon stays with his
grandma 6 days every
month. How many days
does Brendon stay with his
grandma in one year?
18
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Worksheet for Expanded Connections
Name ______________________ Date _______________
Expanded
Standard
Expanded
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Copyright © 2013 Innovative Educational Programs.
Standard