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The ideas in this addition lesson are taken from Add & Subtract 2-A ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.


Fact families and basic addition facts
Free lesson plan from Homeschool Math.net

A fact family is a group of math facts using the same numbers.  In the case of addition/subtraction, you use three numbers and get four facts.  For example, you can form a fact family using the three numbers 10, 2, and 12: 10 + 2 = 12, 2 + 10 = 12,  12 − 10 = 2, and 12 − 2 = 10. 

You can use fact families to reinforce addition/subtraction connection, and to help children memorize basic addition facts.

When studying basic addition facts with sums up to 18, you can choose one number to study and find all the possible sums that make up that number.  For example, let the child find all two-number sums that make up 12, and memorize those at a time. See below an activity that helps a student do just that.

Studying sums associated with 12

Color with one color as many balls as the first number shows.  Color the rest some other color.

Fact families with  12

      10, 2, 12

10 + 2 = __   

2 + 10 = __   

12 − 10 = __

12 − 2 = __

      __, __, 12

7 + __ = 12   

__+ __ = __   

__ − __ = __

__ − __ = __

        9, __, 12

9 + __ = 12   

__+ __ = __   

__ − __ = __

__ − __ = __

      __, __, 12

6 + __ = 12   

  

12 − __ = __

 

     __, __, 12

8 + __ = 12   

__+ __ = __   

__ − __ = __

__ − __ = __

 


After finding the different sums associated with 12, and memorizing those, it is time to practice.  The problems below are only showing types of exercises that a student might do; the teacher should provide more of each type of problems.

Example exercise types

1.  Subtract.  For each problem write a corresponding addition fact.

12 − 5 = __

__ + __ = __

12 − 8 = __

__ + __ = __

12 − 4 = __

__ + __ = __

12 − 3 = __

__ + __ = __

12 − 2 = __

__ + __ = __

12 − 6 = __

__ + __ = __

12 − 7 = __

__ + __ = __

12 − 9 = __

__ + __ = __

 

2.  Find the missing addends and compare the problems.  Write the corresponding problem where you only add one-digit numbers.

38 + __ = 42

8 + __ = 12

77 + __ = 82

__ + __ = 12

37 + __ = 42

 

78 + __ = 82

 

32 + __ = 41

__ + __ = __

55 + __ = 62

 

26 + __ = 32

 

89 + __ = 92

 

 

Studying sums associated with 13

Color with one color as many balls as the first number shows.  Color the rest some other color.

Fact families with  13

      10, 3, 13

10 + 3 = __   

3 + 10 = __   

  13 − 10 = __

  13 − 3 = __

      __, __, 13

8 + __ = 13   

__+ __ = __  

   __ − __ = __

   __ − __ = __

        9, __, 13

9 + __ = 13   

__+ __ = __   

  __ − __ = __

  __ − __ = __

      __, __, 13

7 + __ = 13   

  __+ __ = __

  13 − __ = __

  __ − __ = __

 

Example problem types

1.  Subtract and compare the problems.

a.

13 − 7 = __

23 − 7 = __

33 − 7 = __

43 − 7 = __

b.

13 − 6 = __

23 − 6 = __

63 − 6 = __

93 − 6 = __ 

What do you note?  Discuss with your teacher.

 
2.  Subtract.  For each problem, write a corresponding problem where you subtract from 13.

23 − 9 = __

13 − 9 = 4 

33 − 4 = __

__ − __ = __

73 − 7 = __

__ − __ = __

53 − 8 = __

__ − __ = __

 

3.  Continue the patterns!

__ − 9 = 84

__ − 9 = 74

__ − 9 = 64

__ − __ = __

__ − __ = __

__ − __ = __

__ − __ = __

25 + __ = 33

35 + __ = 43

45 + __ = 53

__ + __ = __

__ + __ = __

__ + __ = __

__ + __ = __

 

Studying sums associated with 14

Color with one color as many balls as the first number shows.  Color the rest some other color.

Fact families with  14

      10, 4, 14

10 + __ = __   

__ + 10 = __   

   __ − 10 = __

    __ − 4 = __

      __, __, 14

8 + __ = 14   

__+ __ = __   

  __ − __ = __

  __ − __ = __

        9, __, 14

9 + __ = 14   

__+ __ = __   

    __ − __ = __

    __ − __ = __

      __, __, 14

7 + __ = 14   

  

     14 − __ = __

 

 

Example problems

1.  Find missing addends!  Remember how a missing addend problem can be solved by subtraction?  For each problem, write a subtraction problem using the same numbers so that the numbers in the boxes end up the same.

9 + = 14

14 − 9 =

6 + = 14

14 − 6 =

5 + = 14

14 − 5 =

7 + = 14

__ − __ =

 
3.  Connect with a line the problems to the answer.  What do you notice?

39 + __ = 44
36 + __ = 44
18 + __ = 24
30 + __ = 34
87 + __ = 94
15 + __ = 24
79 + __ = 84
76 + __ = 84
85 + __ = 94
67 + __ = 74
20 + __ = 24
28 + __ = 34

7

9

6

5

8

4

56 + __ = 64
70 + __ = 74
47 + __ = 54
58 + __ = 64
29 + __ = 34
55 + __ = 64
90 + __ = 94
66 + __ = 74
58 + __ = 64
35 + __ = 44
69 + __ = 74
27 + __ = 34

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