1. 21 st Century Lessons The Properties of Mathematics 1

2. Warm Up OBJECTIVE: Students will be able to identify the properties of operations. Language Objective: Students will be able to recite the properties of operations. Agenda 2 Fill in the blanks with any operation: 1. 9 8 6 = 11 2. 15 4 3 = 3 3. 2 5 3 = 21 Careful… the last one is tricky! ) (

3. Agenda: 1) Warm Up 2) Launch 3) Explore 4) Summary 5) Practice 6) Assessment 3 Marvin the Magician’s Cards- Partners Definitions- Whole Group Exit Slip- Individual Partners Individual Whole Group OBJECTIVE: Students will be able to identify the properties of operations. Language Objective: Students will be able to recite the properties of operations. 4 minutes 17 minutes 15 minutes 16 minutes 4 minutes

4. Launch Agenda 4 Evaluate the following expressions in two different ways. 1. 2. 92+7+13 92+ () 92+ 7+13 (20) 112 2 9 5.. 5 9 2 10. 90 99 +13 2 nd method 112 18. 5 90 2 nd method.. 592. 9 25. 9

5. Explore: Marvin the Magician’s Cards 5 Agenda Marvin the Magician needs your help! He uses a deck of math cards for one of his tricks. However, only some cards are TRUE. Help Marvin find the TRUE cards. TRUE!FALSE! Examples

6. 6 Agenda 1 st : Determine which cards are true and false. Be sure to support your reasoning. Explore: Marvin the Magician’s Cards In your groups: 2 nd : For the true cards only, complete the worksheet provided.

7. Summary: Definitions 7 Agenda Click on a card.

8. Summary: Definitions 8 Agenda Changing the order of the numbers does not change the SUM. Commutative Property of Addition Let’s discuss the card: Click to Return Algebraically Key Words

9. Summary: Definitions 9 Agenda Commutative Property of Multiplication Changing the order of the numbers does not change the PRODUCT. Let’s discuss the card: Click to Return Algebraically Key Words

10. Summary: Definitions 10 Agenda Multiplying a number by 1 leaves it unchanged. Identity Property of Multiplication Let’s discuss the card: Click to Return Algebraically Key Words

11. Summary: Definitions 11 Agenda Identity Property of Addition Let’s discuss the card: Adding a number by 0 leaves it unchanged. Click to Return Algebraically Key Words

12. Summary: Definitions 12 Agenda When MULTIPLYING more than 2 numbers, the way we group them does not change the PRODUCT. Associative Property of Multiplication Let’s discuss the card: Click to Return Algebraically Key Words

13. Summary: Definitions 13 Agenda Associative Property of Addition Let’s discuss the card: When ADDING more than 2 numbers, the way we group them does not change the SUM. Click to Return Algebraically Key Words

14. Summary: Definitions 14 Agenda Multiplying a number by 0 is always 0. Zero Property of Multiplication Let’s discuss the card: Click to Return Algebraically

15. Summary: Definitions 15 Agenda Associative Property of Addition Let’s discuss the card: When ADDING more than 2 numbers, the way we group them does not change the SUM. Click to Return Algebraically Key Words

16. Summary: Definitions 16 Agenda Identity Property of Addition Let’s discuss the card: Adding a number by 0 leaves it unchanged. Click to Return Algebraically Key Words

17. Summary: Definitions 17 Agenda Commutative Property of Multiplication Changing the order of the numbers does not change the PRODUCT. Let’s discuss the card: Click to Return Key Words Algebraically

18. Summary: Definitions 18 Agenda When MULTIPLYING more than 2 numbers, the way we group them does not change the PRODUCT. Associative Property of Multiplication Let’s discuss the card: Click to Return Algebraically Key Words

19. Summary: Definitions 19 Agenda Changing the order of the numbers does not change the SUM. Commutative Property of Addition Let’s discuss the card: Click to Return Algebraically Key Words

20. Summary: Definitions 20 Agenda Multiplying a number by 1 leaves it unchanged. Identity Property of Multiplication Let’s discuss the card: Click to Return Algebraically Key Words

21. Practice 21 Agenda PART I Using the Properties of Mathematics, match Column A to Column B. Write the expression from Column B that matches the expression in Column A in the blank provided. State the property that proves the equation true. You can choose from Commutative Property of Addition, Commutative Property of Multiplication, Associative Property of Addition, Associative Property of Multiplication. You may use a property more than once. Commutative of Multiplication Associative of Multiplication Associative of Addition Commutative of Addition Commutative of Multiplication Column A Column B

22. 22 Agenda Practice PART II Evaluate the following expressions quickly. State the property you used to help make the computation faster. 1. 15 + 15 + 7 + 82. 5  9  4 3. 11 + 3 + 9 + 174. 13  2  5 5. Tharzan’s grades for his last four quizzes are stated below. He wants to find the average of his grades. Show Tharzan how he can add his scores quickly using the properties you learned in class before he divides. Explain. Quiz Grades: 81 + 0 + 88 + 82 15 + 15 +15 45 Associative of Addition 11 + 9 + 3 + 17 20 + 20 Commutative of Addition 13  10 130 Associative of Multiplication Possible answer: add the 88 and 82 to get 172 using the Associative of Addition. Then add 81 and 172 to get 253, using the Commutative of Addition, and adding 0 will not change the sum because of the Identity of Addition. 5  4  9 20  9 180 Commutative of Multiplication

23. 23 Agenda Practice PART III 1. Is the following equation 12 – 9 = 9 – 12 true? Explain. 2. Do you think the Commutative Property works for subtraction? Why or why not? 3. Is the following equation (15 – 9) – 6 = 15 – (9 – 6) true? Explain. 4. Do you think the Associative Property works for subtraction? Why or why not? No, because 12 – 9 is 3 and 9 – 12 is less than 0. No. Changing the order in subtraction does not give you the same answer. No. The left side of the equation equals 6 – 6, which equals 0. The left side of the equation equals 15 – 3, which equals 12. No. Regrouping the numbers in subtraction does not give you the same answer. Click here for PART IV

24. 24 Agenda Practice PART IV Make 24! Using the numbers provided, and the four basic operations, +, -, , ÷, make the number 24. 1.1, 5, 4, 32. 3, 12, 4, 13. 10, 9, 7, 2

25. Assessment- Exit Slip 25 Agenda 1.Evaluate the expression below. List the properties that you used. Associative Property Commutative Property 2. Which property of multiplication is shown? A.Commutative B.Associative C. Identity