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 that you have a certain number of groups of the same size.

Here we have five groups, and each group has two elephants.

5 × 2 = 10

 how manygroups how manyin each group We can solveit by adding: 5 × 2 = 2 + 2 + 2 + 2 + 2 = 10 “Five times two elephants is ten elephants.”

Here there are three groups, and each group has four dogs.

3 × 4 = 12

 how manygroups how manyin each group We can solveit by adding: 3 × 4 = 4 + 4 + 4 = 12 “Three times four dogs is twelve dogs.”

1. Draw dots in groups to match the multiplications.

 a.  2 × 6 b.  4 × 2

2. Fill in the missing parts.

a.

____ groups, ____ scissors in each.

____ × ____  scissors = ____ scissors

_____+ _____ + _____ + _____

b.

____ groups, ____ rams in each.

____ × ____  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.

 a.  5 × 4 = _______ b.  4 × 6 = _______

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 self-teaching 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.