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Multiplication as many groups of the same size - refining our thinking on multiplication vs. addition

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

Order of operations
Free lesson plan from HomeschoolMath.net

Do MULTIPLICATION first, before addition or subtraction.

ADD and SUBTRACT from left to right.

Study the examples. The operation to be done FIRST is marked.

Add and subtract from left to right:

15 + 3			+	7
		18	+	7	=

15 − 3			+	7
		12	+	7	=

60 + 30			−	50
		90	−	50	=

Multiplication first:

3 × 2	+	2
6	+	2	=

5	+	4 × 2
5	+	8	=

4 × 4	−	2
16	−	2	=

3 × 5	−	2 × 4
15	−	8	=

6 × 3	−	2 × 5
___	−	___	=

15 −		3 × 3
15	−	__	=

Multiplication first. Then add and subtract from left to right:

2 × 5	+	4	−	5
__	+	4	−	5
		__	−	5	=

10	+	2 × 4	−	7
10	+	__	−	7
		__	−	7	=

Example problems

1. Add and subtract. Write the second step underneath the problem.

a. 15 − 4 + 3

= 11 + 3 = 14

d. 20 − 7 + 2

b. 18 − 5 + 4

e. 15 − 1 + 3

c. 50 − 40 + 40

f. 23 − 10 + 3

2. Do the multiplication first.

	15 − 2 × 3
=		=

	2 × 5 + 4
=		=

	16 − 3 × 5
=		=

	11 + 4 × 2
=		=

	7 × 2 − 4
=		=

	6 × 3 − 10
=		=

3. Now watch carefully! You will need more steps.

a. 3 × 4 − 2 × 3

b. 6 + 7 × 2 − 4

c. 2 × 5 + 4 × 5

d. 11 + 4 × 2 − 4

e. 6 × 3 − 10

f. 6 + 7 × 2 − 4

Next lesson: how to effectively drill multiplication

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Order of operations Free lesson plan from HomeschoolMath.net

Example problems

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Order of operations
Free lesson plan from HomeschoolMath.net

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