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Interpret the Unknown in
Division Using the Array Model
Module 1: Lesson 6
Fluency Practice
Group Counting
Fluency Practice
Add Equal Groups
(3 minutes)
Say the total as an addition sentence.
Write a division sentence.
Fluency Practice
Say the total as an addition sentence.
Write a division sentence.
Repeat using 4 groups of 3,
3 groups of 4, 9 groups of 2, & 2 groups of 9.
Application Problem
(6 minutes)
20 children play a game. There are 5 children on each team.
How many teams play the game?
Write a division sentence to represent the problem.
(Use the RDW process to show your solution)
Concept Development
(35 minutes)
What is the total number of children and total number of dots?
What it the total number of children on each team and the
number of dots in each row?
What is the total number of teams and number of rows?
Concept Development
(35 minutes)
Now, using your personal white boards,
draw an array that shows 8 ÷ 2 = 4.
Draw an array that shows 18 ÷ 6 = 3.
Concept Development
(35 minutes)
Now draw an array that shows the division
sentence 15 ÷ 3 = 5, where the quotient- that
means the answer- represents the size of the
group.
Write a division and multiplication sentence for
the array.
Where is the quotient in the multiplication
sentence?
Circle the size of the groups in both problems.
Concept Development
(30 minutes)
Draw an array for 4 rows of 2. What is the
quotient?
Draw an array for 7 x 3 = 21. How many groups
are there and how many are in each group?
Explain to your partner how the factors in a
multiplication problem can help you find the
quotient in division.
Concept Development
(35 minutes)
______ X 3 = 24
Skip count and track the number of 3’s to solve.
How many 3’s make 24? Answer in a complete
sentence.
Write a related division sentence where the
quotient represents the unknown factor.
Concept Development
(35 minutes)
Did you write 24 ÷ 3 = 8? Good job!
24 divided into 3 makes how many groups?
How are the unknown factor and the quotient
related?
Repeat using 2 X ____ = 18 & 18 ÷ 2 = _____
And _____ x 9 = 27 & 27 ÷ 9 = _______
Concept Development
(35 minutes)
_____ x 3 = 24 and 24 ÷ 3 = _____
True or false: both equations ask “How many
threes are in 24”?
Problem Set (10 minutes)
You have 10 minutes to complete the problem set pages.
Debrief (10 minutes)
Let’s review your solutions for the problem set.
Exit Ticket
(3 minutes)
This is where you are going to show
us that you understand what we learned today!
We will learn if you are ready for the next lesson!
Homework
Lesson 6 Homework
Worksheet
Is Due Tomorrow!

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Lesson 6

  • 1. Interpret the Unknown in Division Using the Array Model Module 1: Lesson 6
  • 3. Fluency Practice Add Equal Groups (3 minutes) Say the total as an addition sentence. Write a division sentence.
  • 4. Fluency Practice Say the total as an addition sentence. Write a division sentence. Repeat using 4 groups of 3, 3 groups of 4, 9 groups of 2, & 2 groups of 9.
  • 5. Application Problem (6 minutes) 20 children play a game. There are 5 children on each team. How many teams play the game? Write a division sentence to represent the problem. (Use the RDW process to show your solution)
  • 6. Concept Development (35 minutes) What is the total number of children and total number of dots? What it the total number of children on each team and the number of dots in each row? What is the total number of teams and number of rows?
  • 7. Concept Development (35 minutes) Now, using your personal white boards, draw an array that shows 8 ÷ 2 = 4. Draw an array that shows 18 ÷ 6 = 3.
  • 8. Concept Development (35 minutes) Now draw an array that shows the division sentence 15 ÷ 3 = 5, where the quotient- that means the answer- represents the size of the group. Write a division and multiplication sentence for the array. Where is the quotient in the multiplication sentence? Circle the size of the groups in both problems.
  • 9. Concept Development (30 minutes) Draw an array for 4 rows of 2. What is the quotient? Draw an array for 7 x 3 = 21. How many groups are there and how many are in each group? Explain to your partner how the factors in a multiplication problem can help you find the quotient in division.
  • 10. Concept Development (35 minutes) ______ X 3 = 24 Skip count and track the number of 3’s to solve. How many 3’s make 24? Answer in a complete sentence. Write a related division sentence where the quotient represents the unknown factor.
  • 11. Concept Development (35 minutes) Did you write 24 ÷ 3 = 8? Good job! 24 divided into 3 makes how many groups? How are the unknown factor and the quotient related? Repeat using 2 X ____ = 18 & 18 ÷ 2 = _____ And _____ x 9 = 27 & 27 ÷ 9 = _______
  • 12. Concept Development (35 minutes) _____ x 3 = 24 and 24 ÷ 3 = _____ True or false: both equations ask “How many threes are in 24”?
  • 13. Problem Set (10 minutes) You have 10 minutes to complete the problem set pages. Debrief (10 minutes) Let’s review your solutions for the problem set.
  • 14. Exit Ticket (3 minutes) This is where you are going to show us that you understand what we learned today! We will learn if you are ready for the next lesson!