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Good Morning!. Homework and log on desk Ferris Wheel Homework that was due yesterday (TB pg 16) Complete warm up #s 6-10 Set up your interactive notebook for today’s lesson. P. 4R. Properties of Numbers.
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Good Morning! • Homework and log on desk • Ferris Wheel • Homework that was due yesterday (TB pg 16) • Complete warm up #s 6-10 • Set up your interactive notebook for today’s lesson
P. 4R Properties of Numbers Objective: I can identify properties of numbers and use them to simplify numerical expressions. Now set up the left side of the page & complete: • Page number: P4L • Lesson title: Properties of Numbers • Learning goal: (write the objective in your own words) • What I know: (Write 1 or 2 sentences explaining what you already know about the lesson)
Hardest First! Use the distributive property to simplify 1/6 ● (36 + ½) 6 1/12
Vocabulary-on the right side DEFINITION: You can use the Distributive Property to multiply numbers mentally by breaking apart one of the numbers and writing it as a sum or difference.
Starting with #4 at your table, take turns stating the definitions to the 4 properties. All students must write the answers on their white boards.
Additional Example 1: Identifying Properties of Addition and Multiplication Tell which property is represented. A. (2 6) 1 = 2 (6 1) B. 3 + 0 = 3 C. 7 + 9 = 9 + 7 (2 6) 1 = 2 (6 1) The numbers are regrouped. Associative Property One of the addends is 0. 3 + 0 = 3 Identity Property 7 + 9 = 9 + 7 The order of the numbers is switched. Commutative Property
Check It Out! Example 1 Tell which property is represented. A. 7 1 = 7 B. 3 + 4 = 4 + 3 C. (5 1) 2 = 5 (1 2) 7 1 = 7 One of the factors is 1. Identity Property The order of the numbers is switched. 3 + 4 = 4 + 3 Commutative Property (5 1) 2 = 5 ( 1 2) The numbers are regrouped. Associative Property
Additional Example 3: Using the Distributive Property to Multiply Mentally Use the Distributive Property to find 6(54). Method 1: Method 2: Rewrite 54 as 50 + 4. 6(54) = 6(50 + 4) Use the Distributive Property. = (6 50) + (6 4) = 300 + 24 Multiply. = 324 Add. Rewrite 54 as 60 – 6. 6(54) = 6(60 – 6) = (6 60) – (6 6) Use the Distributive Property. Multiply. = 360 – 36 = 324 Subtract.
Check It Out! Example 3 Use the Distributive Property to find 8(19). Method 1: Method 2: 8(19) = 8(10 + 9) Rewrite 19 as 10 + 9. Use the Distributive Property. = (8 10) + (8 9) = 80 + 72 Multiply. = 152 Add. Rewrite 19 as 20 – 1. 8(19) = 8(20 – 1) = (8 20) – (8 1) Use the Distributive Property. Multiply. = 160 – 8 Subtract. = 152
Rally CoachMath TB pg22 A’s complete: #24 #28 #32 B’s complete: #21 #29 #35
Left side time! What I learned: write 1-2 sentences about what you learned. Proof:Do you think there is a commutative property of division? Give an example to explain your answer. Reflection: Pair up with your shoulder partner. Each partner must create a problem for one of the properties learned today. Switch problems with your partner and solve.
Homework • HOMEROOM: textbook (TB) pg22 #37-40; 42-43; 47-53 ODDS • SWITCH textbook (TB) pg22 #37-41; 42-50 EVENS