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Multiplication And
The Meaning
Of The Factors
Module 1: Lesson 1
Understand equal groups of
as multiplication
Created from the
New York State Common Core Curriculum
By Common Core With Style
Fluency Practice:
Group Counting
(10 min.)
Fluency Practice:
Group Counting
Fluency Practice:
Group Counting
Application Problem
(10 min.)
There are 83 girls and
76 boys in the third
grade. How many total
students are in the
third grade?
83 Girls
76 Boys
83
+ 76
8
3
7
6
?
159
There are 159 students
in third grade.
Concept Development – (30 Min.)
Problem 1: Skip Count to Find
the Total Number of Objects
1. 10 students come to the front of the
room!
2. How many arms do you have?
3. Let’s skip count by 2’s. To keep track of
our counting raise your arms over your
head when we count them!
4. How many raised arms did we count?
5. How many twos did we count to get the
total?
6. What did you count to find the number of
twos?
Concept Development – (10 Min. Each Problem)
Problem 1: Skip Count to Find
the Total Number of Objects
7. Skip count to find the total number of arms.
2
2,
+2
4,
+2
6,
+2
8,
+2
10,
+2
12,
+2
14,
+2
16,
+2
18,
+2
20
8. How many two’s did we count?
10 twos
10 groups of two is 20
Concept Development – (30 Min.)
Problem 2: Understand the relationship between
repeated addition, counting groups in unit form, and
multiplication equations.
You have 12 counters.
Make equal groups of two.
How many groups did you make?6 Equal
Groups
of 2
Counters
How many
counters
all
together?
2 + 2 + 2 + 2 + 2 + 2
2 + 2 + 2 + 2 + 2 + 2 = 12
6 twos = 12
6 x 2 = 12
Ways that are easier and faster
are efficient. When we have
equal groups, multiplication is a
more efficient way of showing
the total than repeated
addition.
These number
sentences are all
saying the same
thing.
Concept Development – (30 Min.)
Problem 2: Understand the relationship between
repeated addition, counting groups in unit form, and
multiplication equations.
These are equal groups. Turn and tell
your partner why they are equal.
Concept Development – (30 Min.)
Problem 3: Write multiplication
sentences from equal groups.
Concept Development – (30 Min.)
Problem 3: Write multiplication sentences
from equal groups.
3 x 4 = 12
Check my work by
writing an addition
sentence.
Use your addition sentence to discuss why you
agree or disagree with my work.
I hear most students disagreeing because my groups
are not equal. True, to multiply you must have equal
groups.
Problem Set
(10 Min.)
You have 10 minutes to complete the problem
set pages.
Debrief
(10 Min.)
Let’s review your solutions for the problem set.
This is where you are going to show
me that you understand what we
learned today!
I will learn if you are ready for the
next lesson!
Exit Ticket
(3 Min.)
3-1 Homework
Worksheet
is Due Tomorrow
Homework

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Lesson 1

  • 1. Multiplication And The Meaning Of The Factors Module 1: Lesson 1 Understand equal groups of as multiplication Created from the New York State Common Core Curriculum By Common Core With Style
  • 5. Application Problem (10 min.) There are 83 girls and 76 boys in the third grade. How many total students are in the third grade? 83 Girls 76 Boys 83 + 76 8 3 7 6 ? 159 There are 159 students in third grade.
  • 6. Concept Development – (30 Min.) Problem 1: Skip Count to Find the Total Number of Objects 1. 10 students come to the front of the room! 2. How many arms do you have? 3. Let’s skip count by 2’s. To keep track of our counting raise your arms over your head when we count them! 4. How many raised arms did we count? 5. How many twos did we count to get the total? 6. What did you count to find the number of twos?
  • 7. Concept Development – (10 Min. Each Problem) Problem 1: Skip Count to Find the Total Number of Objects 7. Skip count to find the total number of arms. 2 2, +2 4, +2 6, +2 8, +2 10, +2 12, +2 14, +2 16, +2 18, +2 20 8. How many two’s did we count? 10 twos 10 groups of two is 20
  • 8. Concept Development – (30 Min.) Problem 2: Understand the relationship between repeated addition, counting groups in unit form, and multiplication equations. You have 12 counters. Make equal groups of two. How many groups did you make?6 Equal Groups of 2 Counters How many counters all together? 2 + 2 + 2 + 2 + 2 + 2
  • 9. 2 + 2 + 2 + 2 + 2 + 2 = 12 6 twos = 12 6 x 2 = 12 Ways that are easier and faster are efficient. When we have equal groups, multiplication is a more efficient way of showing the total than repeated addition. These number sentences are all saying the same thing. Concept Development – (30 Min.) Problem 2: Understand the relationship between repeated addition, counting groups in unit form, and multiplication equations.
  • 10. These are equal groups. Turn and tell your partner why they are equal. Concept Development – (30 Min.) Problem 3: Write multiplication sentences from equal groups.
  • 11. Concept Development – (30 Min.) Problem 3: Write multiplication sentences from equal groups. 3 x 4 = 12 Check my work by writing an addition sentence. Use your addition sentence to discuss why you agree or disagree with my work. I hear most students disagreeing because my groups are not equal. True, to multiply you must have equal groups.
  • 12. Problem Set (10 Min.) You have 10 minutes to complete the problem set pages. Debrief (10 Min.) Let’s review your solutions for the problem set.
  • 13. This is where you are going to show me that you understand what we learned today! I will learn if you are ready for the next lesson! Exit Ticket (3 Min.)
  • 14. 3-1 Homework Worksheet is Due Tomorrow Homework