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The ideas in this multiplication lesson are taken from Math Mammoth Multiplication 1 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

Multiplication in two ways (showing it is commutative)
Free lesson plan from HomeschoolMath.net

Compare the two pictures:

4     4  + 4   12 Three rows; four dogs in each row. 3 × 4 = 12

3    +    3    +   3    +   3  =  12 Four columns; each column has three dogs. 4 × 3 = 12

Five rows;  each row has two rams. ___+___+___ +___+___ 5 × 2 =  ___

Two columns;  five rams in each column. ___ + ___ 2 × 5 = ___

One  row has five giraffes. ___ giraffes 1 × 5 = 5

Five columns, each has one giraffe. ___ + ___ + ___ + ___ + ___ giraffes.  5 × 1 = ___

1. Group the animals in two different ways and make the addition and multiplication facts to fit
    the pictures.  In what case do you get the same fact either way?

a. 4 + 4 ___ × ___ = ___ 2 + 2 + 2 + 2 ___ × ___ = ___	b. ____________ ___×___ = ___ ____________ ___×___ = ___
c.   _____________ ___×___ = ___    ____________ ___×___ = ___	d. _____________ ___ × ___ = ___  _____________ ___ ×___ = ___

2. Draw X marks and group them in two ways to illustrate the two ways to multiply.

Multiplying two ways on the number line   5 × 2 = 10 2 × 5 = 10   7 × 2 = 14 2 × 7 = 14

  
3. For each number line, write the two multiplication sentences that the arrows portray.

4. Write down the multiplication sentence. Then write the multiplication the other way, and
     draw the arrows for that multiplication sentence.

5. Skip-count to fill the multiplication table of 3. How does the picture connect with it?

Next lesson: Multiplying by zero