Multiplication Concept
Multiplication & Addition
This is a complete lesson for third grade with teaching and exercises about the basic concept of multiplication, and about the connection between multiplication and addition. Multiplication is defined as meaning that you have a certain number of groups of the same size. Then, it can be solved by repeated addition. Students fill in the missing parts in multiplication and addition sentences to match the given visual models (pictures). They also draw pictures to match given multiplications.
The symbol × indicates multiplication. Multiplication means 
Here we have five groups, and each group has two elephants. 5 × 2 = 10


Here there are three groups, and each group has four dogs. 3 × 4 = 12

1. Draw dots in groups to match the multiplications.
a. 2 × 6 

2. Fill in the missing parts.
a.
____ groups, ____ scissors in each. ____ × ____ scissors = ____ scissors _____+ _____ + _____ + _____ 
b. ____ × ____ rams = ____ rams _____+ _____ + _____ 

c.
____ groups, ____ dogs in each. ____ × ____ dog = ____ dogs _____+ _____ + _____ 
d.
____ group, ____ carrots in it.
1 × ____ carrots = ____ carrots 
3. Write an addition and a multiplication sentence for each picture.
a.
___ + ___ + ___ + ___ = _____ ____ × ____ = ______ 
b.
___ + ___ + ___ + ___ + ___ = _____ ____ × ____ = ______ 

c.
___ + ___ + ___ + ___ + ___ = _____ ____ × ____ = ______ 
d.
___ + ___ + ___ + ___ = _____ ____ × ____ = ______ 
4. Now it is your turn to draw. Draw balls or sticks. Write the multiplication sentence.
a. Draw 3 groups of seven sticks.
_____ × _____ = ______ 
b. Draw 2 groups of eight balls.
_____ × _____ = ______ 
c. Draw 4 groups of four balls.
_____ × _____ = ______  d. Draw 5 groups of two balls.
_____ × _____ = ______ 
5. Draw groups to solve the multiplications.


6. These problems have to do with groups. Write a multiplication. Drawing can help.
a. How many legs do five cows have?
_____ × _____ = ______ 
b. How many
wheels do six bicycles have?
_____ × _____ = ______ 
c. How many
sticks are in three groups of five sticks?
_____ × _____ = ______ 
d. One bunch of grapes has 11 grapes. How many grapes are in three such bunches?
_____ × _____ = ______ 
This lesson is taken from Maria Miller's book Math Mammoth Multiplication 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.
Math Mammoth Multiplication 1
A selfteaching worktext for 3rd grade that covers multiplication concept from various angles, word problems, a guide for structural drilling, and a complete study of all 12 multiplication tables.
Download ($5.20). Also available as a printed copy.