1. SOL 4.22 Demonstrating the Meaning of Equality

2. Now Lets Review What We Just Learned

3. = Means Equal = = Balanced means = Balanced means = This is NOT EQUAL This is NOT EQUAL 7 + 3 = 10 7 + 3 = 10

4. These Are Examples of Equations 2 = 2 2 = 2 17 = 2 + 15 17 = 2 + 15 x = 7 x = 7 7 = x 7 = x t + 3 = 8 what does t =? t + 3 = 8 what does t =? 5 x 3= 10 + 5 5 x 3= 10 + 5 2 + 3 = 5 2 + 3 = 5 Remember- Both sides Remember- Both sides of an equation have to be equal! of an equation have to be equal!

5. Commutative Property of Addition Definition – The addends can exchange places and still equal the same sum. Definition – The addends can exchange places and still equal the same sum. Example – 7+2=2+7 Example – 7+2=2+7

6. Commutative Property of Multiplication Definition – The factors can exchange places and still equal the same product. Definition – The factors can exchange places and still equal the same product. Example – 3 x 2 = 2 x 3 Example – 3 x 2 = 2 x 3

7. Associative Property of Addition Definition – The addends can be grouped differently and still equal the same sum. Definition – The addends can be grouped differently and still equal the same sum. Example – 2+(3+4)=(2+3)+4 Example – 2+(3+4)=(2+3)+4

8. Associative Property of Multiplication Definition – The factors can be grouped differently and still equal the same product. Definition – The factors can be grouped differently and still equal the same product. Example – 5x(3x2)=(5x3)x2 Example – 5x(3x2)=(5x3)x2

9. Let’s Practice a Few Problems... 1 3 2 4 7 10 5 8 6 9

10. Question 1 What property is shown here? What property is shown here? 34 + 27 = 27 + 34 A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

11. Answer 1 What property is shown here? What property is shown here? 34 + 27 = 27 + 34 Answer: A. Commutative Property of Addition

12. Question 2 What property is shown here? What property is shown here? 48 + (73 + 16) = (48 + 73) + 16 A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

13. Answer 2 What property is shown here? What property is shown here? 48 + (73 + 16) = (48 + 73) + 16 Answer: C. Associative Property of Addition

14. Question 3 What property is shown here? What property is shown here? 18 x (22 x 49) = (18 x 22) x 49 A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

15. Answer 3 What property is shown here? What property is shown here? 18 x (22 x 49) = (18 x 22) x 49 Answer: D. Associative Property of Multiplication

16. Question 4 What property is shown here? What property is shown here? 66 x 37 = 37 x 66 A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication

17. Answer 4 What property is shown here? What property is shown here? 66 x 37 = 37 x 66 Answer: B. Commutative Property of Multiplication

18. Question 5 Which shows the Commutative Property of Addition? Which shows the Commutative Property of Addition? A. 7+2+3=3+7+8 B. 7+(2+3)=(2+2)+7 C. 7+2+3=2+3+7 D. 7+2+3=5+7+2

19. Answer 5 Which shows the Commutative Property of Addition? Which shows the Commutative Property of Addition?Answer: C. 7+2+3=2+3+7

20. Question 6 Which shows the Associative Property of Multiplication? Which shows the Associative Property of Multiplication? A. (6 x 5) x 2 = 6 x (5 x 2) B. 6 x 5 x 2 = 5 x 6 x 2 C. 5 x (6 x 2) = 5 x (6 x 2) D. 5 x 6 x 2 = 6 x 10

21. Answer 6 Which shows the Associative Property of Multiplication? Which shows the Associative Property of Multiplication?Answer: A. (6 x 5) x 2 = 6 x (5 x 2)

22. Question 7 Which shows the Commutative Property of Multiplication? Which shows the Commutative Property of Multiplication? A. 7 x 8 x 4 = 7 x 16 x 2 B. (7 x 8) x 4 = 7 x (2 x 16) C. 7 x 8 x 4 = 8 x 4 x 7 D. 7 x (8 x 4) = (7 x 8) x 4

23. Answer 7 Which shows the Commutative Property of Multiplication? Which shows the Commutative Property of Multiplication?Answer: C. 7 x 8 x 4 = 8 x 4 x 7

24. Question 8 Which shows the Associative Property of Addition? Which shows the Associative Property of Addition? A. 6 + 9 + 12 = 12 + 6 + 9 B. 6 + (9 + 12) = (6 + 9) + 12 C. 6 + 9 + 12 = 15 + 12 D. 6 + (9 + 12) = (9 + 12) + 6

25. Answer 8 Which shows the Associative Property of Addition? Which shows the Associative Property of Addition?Answer: B. 6 + (9 + 12) = (6 + 9) + 12

26. Answer 9 Which of the following goes in the blank to make this statement true: Which of the following goes in the blank to make this statement true: 62 + (13 + 4) = ______ Answer: A. 62 x 17 B. 17 + (13 + 62) C. (62 + 13) + 4 D. 62 + 4

27. Question 10 Which will be true if an equal sign (=) is placed in the empty box? Which will be true if an equal sign (=) is placed in the empty box? A. 5 x4 ___ 4 x 5 B. 5 x 4___ 4 ÷ 5 C. 5 x 4 ___ 5 + 4 D. 5 x 4 ___ 5 - 4

28. Answer 10 Which is the best answer for: Which is the best answer for: 14 + 22 = _____ Answer: A. 22 – 14 B. 22 x 14 C. 22 ÷ 14 D. 22 + 14

29. These properties also work using symbols If = 5 and = 4 and = 2, which statement would be true? If = 5 and = 4 and = 2, which statement would be true? A + = + A + = + B + = + B + = + C + = + C + = + D + = + D + = +

30. How Should we solve this problem? First, lets substitute each shape with its numerical value. First, lets substitute each shape with its numerical value. Remember, = 5 and = 4 and = 2, which statement would then be true? Remember, = 5 and = 4 and = 2, which statement would then be true? A. 5 + 2 = 4 + 5 A. 5 + 2 = 4 + 5 B. 2 + 4 = 2 + 5 B. 2 + 4 = 2 + 5 C. 2 + 4 = 5 + 5 C. 2 + 4 = 5 + 5 D. 5 + 4 = 4 + 5 D. 5 + 4 = 4 + 5

31. The Answer is…… D 5 + 4 = 4 + 5 D 5 + 4 = 4 + 5 ( + = + )