This document provides instruction on multiplying and dividing using units of 6 and 7. It contains examples of using the distributive property and addition number bonds to break down multiplication and division problems into smaller steps. Students practice skip-counting, grouping, and decomposing multiples of 6 and 7. They also solve an application problem about cutting ribbons and an exit ticket to assess understanding.

1. Multiplication and Division with Units of 0,
1, 6-9, and Multiples of 10
Topic B: Multiplication and Division Using
Units of 6 and 7
Module 3: Lesson 6
Objective: Use the distributive property as a
strategy to multiply and divide
using units of 6 and 7.

2. Fluency Practice
(15 minutes)
Multiply by 6 (8 minutes)
Materials: Multiply by 6 Pattern Sheet (6-10)
Let’s skip-count up by sixes to find the answer to
6 x 7 = ____. I’ll raise a finger for each six.
Now let’s skip-count by sixes starting at 30.
Why is 30 a good place to start? That’s right! It’s a fact
we already know, so we can use it to figure out a fact
we don’t know.

3. Fluency Practice(15 minutes)
Multiply by 6 (cont.)
Let’s see how we can skip-count down to find the
answer to 6 x 7 = ____. Start at 60 with 10 fingers, 1
for each six, and count down with your fingers as you
say the numbers.
Continue with the following suggested sequence:
6 x 9, 6 x 6, and 6 x 8.
Now let’s practice multiplying by 6 on the Pattern Sheet.
You have 2 minutes to do as many problems as you can.
Be sure to work left to right across the page and use
skip-counting strategies to solve unknown facts.

4. Fluency Practice
(15 minutes)
Group Counting (4 minutes)
Now we’re going to count forward and backward!
* Sevens to 70
* Eights to 80
* Nines to 90

5. Fluency Practice
(15 minutes)
Decompose Multiples of 6 and 7 (3 minutes)
Fill in the missing part in the
addition number bond.
Continue with the following sequence: a whole of 54
and 24 as a part, a whole of 49 and 14 as a part, and a
whole of 63 and 21 as a part.
48
12

6. Application Problem
(5 minutes)
Mabel cuts 9 pieces of ribbon for an art project.
Each piece of ribbon is 7 centimeters long.
What is the total length of the pieces of ribbon
that Mabel cuts?
Draw and label a tape diagram to model this
problem, then write a number sentence and a
word sentence.

7. Application Problem
(5 minutes)

8. Concept Development (30 minutes)
Part 1: Apply the distributive property to multiply using units
of 6 and 7.
We used 9 x 7 to solve the Application Problem. Let’s say
9 x 7 in unit form. That’s right – 9 sevens!
Recently, we used the break apart and distribute strategy
to help solve larger multiplication facts. Talk with your
partner. How did we do that?
Breaking the bigger fact into 5 plus something helped us
make those 2 smaller facts. 9 sevens can be broken into
5 sevens plus how many sevens?

9. Concept Development (30 minutes)
Part 1: Apply the distributive property to multiply using
units of 6 and 7.
Draw a dotted line separating the 5 sevens from
4 sevens on your tape diagram. Label the sides of your
tape diagram with multiplication facts.
Let’s use those facts to rewrite 5 sevens plus 4 sevens.
Why is this expression
the same as 9 x 7?
Try this strategy with
8 x 6 and 8 x 7.
Let’s

10. Concept Development (30 minutes)
Part 2: Use addition number bonds to apply the distributive
property to divide using units of 6 and 7.
We also used the break apart and distribute strategy
earlier this year with arrays and division.
Instead of using arrays today, let’s use number bonds.
Write 48 ÷ 6 and circle it. We need to break apart
48 ÷ 6 into two smaller division expressions.
Why would 30 make a good breaking point? That’s
right! It’s because 30 ÷ 6 is a simple fives fact.
Write and circle 30 ÷ 6 as a part on your number bond.

11. We have 30 ÷ 6 as one of our parts.
What division expression do we need to write for the
other part? How do you know?
Write and circle 18 ÷ 6 as the other part.
Let’s show that work with an equation.
Write 48 ÷ 6 = (30 ÷ 6) + (18 ÷ 6).
We put parentheses around the two expressions to
show that we do these 2 division facts first.
Concept Development (30 minutes)
Part 2: Use addition number bonds to apply the distributive
property to divide using units of 6 and 7.

12. Concept Development (30 minutes)
Part 2: Use addition number bonds to apply the distributive
property to divide using units of 6 and 7.
How can we use the quotients of these two division
expressions to find the quotient of 48 ÷ 6?
Add the two quotients to solve for 48 ÷ 6.
48 ÷ 6 is…

13. Concept Development (30 minutes)
Part 2: Use addition number bonds to apply the distributive
property to divide using units of 6 and 7.
This was a great problem to solve this way
since adding to 30 is so simple!
What is another 5 fact that results in an easy number?
5 times 8 is 40? Let’s do a big number divided by 8!
Repeat the process with 56 ÷ 8.

14. Problem Set (10 minutes)
Do your personal best to complete the Problem Set in
10 minutes. Remember to use RDW and
show your work!
Debrief (10 minutes)
Let’s review your solutions for the Problem Set.
First, turn to your partner and compare answers.

15. Exit Ticket
(3 minutes)
This is where you are going to show
that you understand what we learned today!
Are you ready for the next lesson?!

16. Homework
3-3 Lesson 6
Homework
Is Due Tomorrow!