Module 2 Lesson 5
Connect visual models and the distributive property to
partial products of the standard algorithm without
renaming.
Wednesday, October 30, 13
Common Core
Standards
•
5.OA.2 Write simple expressions that record calculations with
numbers, and interpret numerical expressions without evaluating them.
For example, express the calculation “add 8 and 7, then multiply by 2” as
2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as
18932 + 921, without having to calculate the indicated sum or product.
•
5.NBT.5 Fluently multiply multi-digit whole numbers using the standard
algorithm.
Wednesday, October 30, 13
Learning
Targets
• I can connect visual models and the
distributive property to partial products of
the standard algorithm without renaming.
Wednesday, October 30, 13
Sprint A
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NYS COMMON CORE MATHEMATICS CURRICULUM
Wednesday, October 30, 13
Lesson 5 Pattern Sheet 5•2
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
9 x 10 =
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
9 x 10 =
9 x 9 = 90 – ___
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
9 x 10 =
9 x 9 = 90 – ___
9 x 9 = ___
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
9 x 100 =
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
9 x 100 =
9 x 99 = 900 – ___
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
9 x 100 =
9 x 99 = 900 – ___
9 x 99 = ___
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
15 x 10 =
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
15 x 10 =
15 x 9 = 150 – ___
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
15 x 10 =
15 x 9 = 150 – ___
15 x 9 = ___
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
29 x 100 =
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
29 x 100 =
29 x 99 = 2900 – ___
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
29 x 100 =
29 x 99 = 2900 – ___
29 x 99 = ___
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
31 × 100 = _____
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
31 × 100 = _____
3100 x 2 = _____
Wednesday, October 30, 13
Activate
Knowledge
Write 31 × 200 as a three-step multiplication
sentence, taking out the hundred.
31 × 100 = _____
3100 x 2 = _____
31 x 200 = _____
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
24 × 100 = _____
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
24 × 100 = _____
2400 x 3 = _____
Wednesday, October 30, 13
Activate
Knowledge
Write 24 × 300 as a three-step multiplication sentence, taking
out the hundred.
24 × 100 = _____
2400 x 3 = _____
24 x 300 = _____
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
34 × 100 = _____
Wednesday, October 30, 13
Activate
Knowledge
Write the multiplication sentence
34 × 100 = _____
3400 x 2 = _____
Wednesday, October 30, 13
Activate
Knowledge
Write 24 × 200 as a three-step multiplication sentence, taking
out the hundred.
34 × 100 = _____
3400 x 2 = _____
34 x 200 = _____
Wednesday, October 30, 13
Activate
Knowledge
Aneisha is setting up a play space for her new puppy. She
will be building a fence around part of her yard that
measures 29 feet by 12 feet. How many square feet of
play space will her new puppy have? If you have time,
solve it in more than one way.
Wednesday, October 30, 13
Learn
Can you solve mentally using the unit
form strategy?
21 x 5
Problem 1
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Learn
Represent your think with a tape
diagram.
21 x 5
Problem 1
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Learn
Since 5 is the unit, how can we show
the area of each unit?
Problem 1
Wednesday, October 30, 13
Learn
Since 5 is the unit, how can we show
the area of each unit?
Problem 1
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Learn
Imagine that all 21 boxes are stacked
vertically.
21 x 5
…
$!
#"##
!#
1 five
20 fives
Problem 1
Wednesday, October 30, 13
Learn
Imagine that all 21 boxes are stacked
vertically.
21 x 5
…
$!
#"##
!#
1 five
20 fives
Problem 1
Wednesday, October 30, 13
Learn
Imagine that all 21 boxes are stacked
vertically.
21 x 5
…
$!
#"##
!#
1 five
20 fives
Problem 1
Wednesday, October 30, 13
Learn
Imagine that all 21 boxes are stacked
vertically.
21 x 5
…
$!
#"##
!#
1 five
20 fives
Problem 1
Wednesday, October 30, 13
Learn
Imagine that all 21 boxes are stacked
vertically.
21 x 5
…
$!
#"##
!#
1 five
20 fives
Problem 1
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Learn
We can simplify this drawing.
21 x 5
Problem 1
Wednesday, October 30, 13
Learn
Compare the area diagram with the
tape diagram
21 x 5
21 fives
!##
#"###
$
5
5
5 …
5
Problem 1
Wednesday, October 30, 13
Learn
Compare the area diagram with the
tape diagram
21 x 5
21 fives
!##
#"###
$
5
5
5 …
5
Problem 1
Wednesday, October 30, 13
Learn
Can we turn this area model so that
we count 5 groups of 21?
5 x 21
Problem 1
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Learn
Relate the area model with the
algorithm
23 × 31
1
23
23
30
690
Problem 2
Wednesday, October 30, 13
Learn
Relate the area model with the
algorithm
343 × 21
343
1
20
Problem 3
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Learn
Relate the area model with the
algorithm
231 × 32
231
2
30
Problem 4
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Practice
Wednesday, October 30, 13
Name
Date
1. Draw an area model and then solve using the standard algorithm. Use arrows to match the partial
products from the area model to the partial products of the algorithm.
a. 34 × 21
34
× 21
b. 434 × 21
434
× 21
2. Solve using the standard algorithm.
a. 431 × 12 = _________
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b. 123 × 23 = _________
c. 312 × 32 = __________
434
× 21
2. Solve using the standard algorithm.
a. 431 × 12 = _________
Wednesday, October 30, 13
b. 123 × 23 = _________
c. 312 × 32 = __________
3. Betty saves $161 a month. She saved $141 less each month than Jack. How much will Jack save in 2
years?
4. Farmer Brown feeds 12.1 kg of alfalfa to each of his 2 horses daily. How many kilograms of alfalfa will all
his horses have eaten after 21 days? Draw an area model to solve.
Wednesday, October 30, 13
4. Farmer Brown feeds 12.1 kg of alfalfa to each of his 2 horses daily. How many kilograms of alfalfa will all
his horses have eaten after 21 days? Draw an area model to solve.
Wednesday, October 30, 13
Name
Date
1. Draw an area model then solve using the standard algorithm. Use arrows to match the partial products
from the area model to the partial products in the algorithm.
a. 24 × 21 = ________________
24
× 21
b. 242 × 21 = _______________
242
× 21
2. Solve using the standard algorithm.
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b. 242 × 21 = _______________
242
× 21
2. Solve using the standard algorithm.
a. 314 × 22 = __________
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b. 413 × 22 = __________
c. 213 × 32 = __________
Review
Wednesday, October 30, 13