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21 st Century Lessons

21 st Century Lessons. The Properties of Mathematics. 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. Fill in the blanks with any operation:. 1. 9 8 6 = 11.

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21 st Century Lessons

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  1. 21st Century Lessons The Properties of Mathematics

  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. 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! Agenda

  3. Agenda: 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 Individual 1) Warm Up 4 minutes Whole Group 2) Launch Marvin the Magician’s Cards- Partners 17 minutes 3) Explore Definitions- Whole Group 4) Summary 15 minutes Partners 5) Practice 16 minutes Exit Slip- Individual 4 minutes 6) Assessment

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

  5. Explore: Marvin the Magician’s Cards 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. Examples TRUE! FALSE! Agenda

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

  7. Summary: Definitions Click on a card. Go to the Practice Activity Agenda

  8. Practice 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. Column A Column B Commutative of Multiplication Associative of Multiplication Associative of Addition Commutative of Addition Commutative of Multiplication Agenda

  9. Practice PART IIEvaluate the following expressions quickly. State the property you used to help make the computation faster. 1. 15 + 15 + 7 + 8 2. 5  9 4 3. 11 + 3 + 9 + 17 4. 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 • 54 9 • 20 9 180 15 + 15 +15 45 Associative of Addition Commutative of Multiplication 13 10 130 Associative of Multiplication 11 + 9 + 3 + 17 20 + 20 Commutative of Addition • 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. Agenda

  10. Practice PART III 1. Is the following equation 12 – 9 = 9 – 12true? 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? Click here for PART IV • 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. Agenda

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

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