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Module 2 Lesson 5
Connect visual models and the distributive property
to partial products of the standard algorithm
without renaming.
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.
Learning Targets
• I can connect visual models and the
distributive property to partial products
of the standard algorithm without
renaming.
Sprint A
Activate
Knowledge
Write the multiplication sentence
9 x 10 =
Activate
Knowledge
Write the multiplication sentence
9 x 10 =
9 x 9 = 90 – ___
Activate
Knowledge
Write the multiplication sentence
9 x 10 =
9 x 9 = 90 – ___
9 x 9 = ___
Activate
Knowledge
Write the multiplication sentence
9 x 100 =
Activate
Knowledge
Write the multiplication sentence
9 x 100 =
9 x 99 = 900 – ___
Activate
Knowledge
Write the multiplication sentence
9 x 100 =
9 x 99 = 900 – ___
9 x 99 = ___
Activate
Knowledge
Write the multiplication sentence
15 x 10 =
Activate
Knowledge
Write the multiplication sentence
15 x 10 =
15 x 9 = 150 – ___
Activate
Knowledge
Write the multiplication sentence
15 x 10 =
15 x 9 = 150 – ___
15 x 9 = ___
Activate
Knowledge
Write the multiplication sentence
29 x 100 =
Activate
Knowledge
Write the multiplication sentence
29 x 100 =
29 x 99 = 2900 – ___
Activate
Knowledge
Write the multiplication sentence
29 x 100 =
29 x 99 = 2900 – ___
29 x 99 = ___
Activate
Knowledge
Write the multiplication sentence
31 × 100 = _____
Activate
Knowledge
Write the multiplication sentence
31 × 100 = _____
3100 x 2 = _____
Activate
Knowledge
Write 31 × 200 as a three-step multiplication
sentence, taking out the hundred.
31 × 100 = _____
3100 x 2 = _____
31 x 200 = _____
Activate
Knowledge
Write the multiplication sentence
24 × 100 = _____
Activate
Knowledge
Write the multiplication sentence
24 × 100 = _____
2400 x 3 = _____
Activate
Knowledge
Write 24 × 300 as a three-step multiplication sentence,
taking out the hundred.
24 × 100 = _____
2400 x 3 = _____
24 x 300 = _____
Activate
Knowledge
Write the multiplication sentence
34 × 100 = _____
Activate
Knowledge
Write the multiplication sentence
34 × 100 = _____
3400 x 2 = _____
Activate
Knowledge
Write 24 × 200 as a three-step multiplication sentence,
taking out the hundred.
34 × 100 = _____
3400 x 2 = _____
34 x 200 = _____
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.
Learn
Can you solve mentally using the
unit form strategy?
21 x 5
Problem 1
Learn
Represent your think with a tape
diagram.
21 x 5
Problem 1
Learn
Since 5 is the unit, how can we
show the area of each unit?
Problem 1
Learn
Imagine that all 21 boxes are
stacked vertically.
1 five
21 x 5
20 fives
Problem 1
Learn
We can simplify this drawing.
21 x 5
Problem 1
Learn
Compare the area diagram with
the tape diagram
21 x 5
21 fives
5
5
5 …
5
Problem 1
Learn
Compare the area diagram with
the tape diagram
21 x 5
21 fives
5
5
5 …
5
Problem 1
Learn
Can we turn this area model so
that we count 5 groups of 21?
5 x 21
Problem 1
Learn
Relate the area model with the
algorithm
23 × 31
23
1
23
30
690
Problem 2
Learn
Relate the area model with the
algorithm
343 × 21
343
1
20
Problem 3
Learn
Relate the area model with the
algorithm
231 × 32
231
2
30
Problem 4
Practice
Review