NS 3.1*1%7
Demonstrate
an understanding of, and the ability to use,
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VWDQGDUGDOJRULWKP
standard algorithms for the addition and subtraction of multi-
UNDERLYING SKILLS AND CONCEPTS:
basic facts;
fact families
digit numbers.
Use the Properties of Addition
The Commutative Property of Addition shows
that changing the order of addends does not
change the sum.
a
K
ey Ide
9!4
4!9
4 ! 9 " 13 and 9 ! 4 " 13, so
13
4!9"9!4
The Associative Property of Addition shows that
changing the grouping of addends, does not change the
sum.
2!
16
(2 ! 7) ! 9 "
" 18
2 ! (7 ! 9)
9 ! 9 " 18, so
" (2 ! 7) ! 9
6!0"6
E x am p l E
=
1
=
12 ! 9
9 ! 12
■9
" 9 ! 12
21
=
E x am p l E
H
theey! I
pa can
re
nth mov
es e
es
18
Ms. Associative
Give a number to make the statement true.
12 !
(2 ! 7) ! 9
2 ! (7 ! 9)
The Zero Property of Addition shows that
the sum of a number and zero is the number.
=
Mr. Commutative
=
Mr. Commutative
2
Tell what property is shown in each example.
3 ! (7 ! 4) " 3 ! (4 ! 7)
Commutative Property of Addition
9!0"9
Zero Property of Addition
(2 ! 5) ! 8 " 2 ! (5 ! 8)
Associative Property of Addition
page 14
Chapter 2 – Lesson 1
D – © CSL Associates, Inc. All rights reserved.
2 ! (7 ! 9) "
=
Name
P RAC T I C E
Find a number to make each statement true.
■
1. 52 90 90 52
2. (38 5) 16 38 (
3. 117 ■0
■5
16)
■
12. 37 59 59 37
13. (71 6) 19 71 (
117
■
4. 4 (68 36) 4 (36 68 )
5. (8 29) 5 ■
11. 62 (13 44) (62 13 ) 44
■8
(29 5)
14.
■0
■6
19)
125 125
■
15. 0 (23 139) 0 (139 23 )
■
■
46
■
6. 12 (29 53) 12 (53 29 ) 16. (28 2) 17 28 (2 17)
■
D – © CSL Associates, Inc. All rights reserved.
7. (14 29) 16 14 (29 16)
■
81
■
■0
8. 99 0 99
9. 1,291 81 10. 0 0 17. 46 0 0 ■
18. 163 (34 3) (163 34 ) 3
19. 32 1,291
■ ■
32
accept any number
20. Mrs. Edwards has three tanks of fish in her classroom. One tank contains 8
goldfish, one tank contains 34 guppies, and a third tank contains 55 baby
guppies. What is the total number of fish in her classroom?
97 fish
Math
Reasoning
Number Sense
MR 1.1
21. Does the Commutative Property work for subtraction? Use an example to
prove your answer.
No; Possible answer: 8 5 does not equal 5 8.
Chapter 2 – Lesson 1
page 15
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 10
Name
…at home!
P RAC T I C E
Find a number to make each statement true.
■
■
2. (38 3) 16 38 ( 3 16)
■0
■
4. 4 (23 36) 4 (36 23 )
■9
(29 5)
■
6. 4 (12 36) 4 (36 12 )
7. (4 29) 5 ■4
■
62
■
■0
(29 5)
8. 88 0 88
9. 1,291 62 10. 106 ■
13. (71 5) 19 71 ( 5 19)
0
5. (9 29) 5 ■
12. 52 80 80 52
14.
■0
106 106
■
15. 0 (34 139) 0 (139 34 )
■
77
■
16. (48 2) 17 48 (2 17)
17. 77 0 0 ■
18. 163 (26 3) (163 26 ) 3
1,291
■ ■
Answers may vary but must
19. 27 106
27
accept
anysame
number
be the
on the right
and left of the sign.
20. Mrs. Monico has three tanks of fish in her classroom. One tank contains 6
goldfish, one tank contains 32 guppies, and a third tank contains 56 baby
guppies. What is the total number of fish in her classroom?
97 fish94 fish
Math
Reasoning
Number Sense
MR 1.1
21. Does the Associative Property work for subtraction? Use an example to
prove your answer.
No; Possible answer: 7 (5 2) does not equal (7 5) 2.
page 10
Home Resource and Homework
Chapter 2 Lesson 1
D – © CSL Associates, Inc. All rights reserved.
3. 0 ■
11. 62 (17 44) (62 17 ) 44
1. 52 86 86 52
MCX94TEG4Ch01_32.v8.5.2 2/26/01 18:58 Page 29
Name
P RAC T I C E
Find a number to make each statement true.
■
1. 52 90 90 52
■
2. (38 5) 16 38 ( 5 16)
3. 117 ■0
■
12. 37 59 59 37
■
13. (71 6) 19 71 ( 6 19)
117
■
4. 4 (68 36) 4 (36 68 )
5. (8 29) 5 ■
11. 62 (13 44) (62 13 ) 44
■8
(29 5)
14.
■0
125 125
■
15. 0 (23 139) 0 (139 23 )
■
■
46
■
6. 12 (29 53) 12 (53 29 ) 16. (28 2) 17 28 (2 17)
■
D – © CSL Associates, Inc. All rights reserved.
7. (14 29) 16 14 (29 16) 17. 46 0 0 ■
81
■
■0
8. 99 0 99
9. 1,291 81 10. 0 0 ■
18. 163 (34 3) (163 34 ) 3
19. 32 1,291
■ ■
32
accept any number
20. Mrs. Edwards has three tanks of fish in her classroom. One tank contains 8
goldfish, one tank contains 34 guppies, and a third tank contains 55 baby
guppies. What is the total number of fish in her classroom?
97 fish
Math
Reasoning
Number Sense
MR 1.1
21. Does the Commutative Property work for subtraction? Use an example to
prove your answer.
No; possible answer: 8 5 does not equal 5 8.
Chapter 2 – Lesson 1
Student Book Page
page 15
Name
…at home!
P RAC T I C E
Find a number to make each statement true.
■
■
2. (38 3) 16 38 ( 3 16)
■0
■
4. 4 (23 36) 4 (36 23 )
■9
(29 5)
■
6. 4 (12 36) 4 (36 12 )
7. (4 29) 5 ■4
■
62
■
■0
(29 5)
8. 88 0 88
9. 1,291 62 10. 106 ■
13. (71 5) 19 71 ( 5 19)
0
5. (9 29) 5 ■
12. 52 80 80 52
14.
■0
106 106
■
15. 0 (34 139) 0 (139 34 )
■
77
■
16. (48 2) 17 48 (2 17)
17. 77 0 0 ■
18. 163 (26 3) (163 26 ) 3
1,291
■ ■
Answers may vary but must
19. 27 106
27
accept
anysame
number
be the
on the right
and left of the sign.
20. Mrs. Monico has three tanks of fish in her classroom. One tank contains 6
goldfish, one tank contains 32 guppies, and a third tank contains 56 baby
guppies. What is the total number of fish in her classroom?
97 fish94 fish
Math
Reasoning
Number Sense
MR 1.1
21. Does the Associative Property work for subtraction? Use an example to
prove your answer.
No; Possible answer: 7 (5 2) does not equal (7 5) 2.
page 10
Home Resource and Homework
Chapter 2 Lesson 1
D – © CSL Associates, Inc. All rights reserved.
3. 0 ■
11. 62 (17 44) (62 17 ) 44
1. 52 86 86 52