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21 st Century Lessons

21 st Century Lessons. Distributive Property. Warm Up. Objective : Students will be able to apply the distributive property to write equivalent expressions. . Language Objective : Students will be able explain how to use the distributive property verbally and in writing. .

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21 st Century Lessons

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  1. 21st Century Lessons Distributive Property

  2. Warm Up Objective: Students will be able to apply the distributive property to write equivalent expressions. Language Objective: Students will be able explain how to use the distributive property verbally and in writing. Ronisha and Kalyn are arguing whether the answer to can be found by doing the following work. Do you think this is correct? Explain. Yes, this method can be used because 27 is still being multiplied by 8. 27 is just split into 20 and 7 first before it is multiplied by 8. Agenda

  3. Agenda: Objective: Students will be able to apply the distributive property to write equivalent expressions. Language Objective: Students will be able explain how to use the distributive property verbally and in writing. Individual 1) Warm Up 4 minutes 2) Launch High School Vs. College B-ball- Whole Class, Pairs 13 minutes 3) Explore Splitting Athletic Fields- Groups 17 minutes 4) Summary The Distributive Property- Whole Class 10 minutes 5)Explore Splitting Athletic Fields– Groups 12 minutes 6) Assessment 4 minutes Exit Slip- Individual

  4. Launch- High School Vs. College B-ball A standard size high school basketball court is 84ft long and 50ft wide in the shape of a rectangle. 84 ft 50 ft To find the area of the court you can use the formula of A=l  w A = 84 ft  50ft A = 4200 Agenda

  5. Launch- High School Vs. College B-ball Did you know that a college basketball court is usually 10ft longer than a high school basketball court? 84 ft 10 ft 50 ft College Basketball Court Can you think of a method to find the area of the college basketball court? Agenda

  6. Launch- High School Vs. College B-ball Can you think of a method to find the area of the college basketball court? 84 ft 10 ft Why parenthesis? 50 ft Method 1 Method 2 50(84+10) + 10 50 84+10 84 50   94 50 4200 + 500  A = 4700 A = 4700 What can we say about these two expressions? Agenda 6

  7. Explore- Splitting Athletic Fields Ambria lives in a neighborhood with three rectangular fields that all have the same area. The fields are split into different sections for different sports. 20 yds 50 yds 50 yds 30 yds 80 yds 40 yds 120 yds 120 yds Agenda

  8. 50 yds 120 yds 20 yds 30 yds 120 yds Explore- Splitting Athletic Fields 1. Find the area of this field near Ambria’s house. 2. This field is divided into two parts. a. Find the area of each part and record your steps as you go. Prove the area is the same as in the first field? 20 120=240 +  30 120=360  Agenda

  9. Explore- Splitting Athletic Fields 20 yds 20 yds 30 yds 30 yds 120 yds 120 yds b. Write one numerical expression that will calculate the area based on the work you did in part a. • 30 120 • 20 120   c. Find a different way to calculate the area of the entire field and write it as one numerical expression. • 20 120=240 +  30 120=360  Agenda

  10. ______ _________ ______ 50 yds 80 yds 40 yds Explore- Splitting Athletic Fields 3. The field is divided into two parts. a. Write 2 different numerical expressions that will calculate the area of the entire field. 4. The field below is split into two parts but are missing the dimensions. a. Fill in the missing dimensions of the rectangular field whose area can be calculated using the expression. 50 20 100 b. Write a different numerical expression to calculate the area of the field. Agenda

  11. Summary- The Distributive Property 20 yds 50 yds 30 yds Let’s look at the two equivalent ways of finding the area and connect it to an important property in math. 80 yds 40 yds 120 yds The Distributive Property Agenda

  12. Summary- The Distributive Property The Distributive Property 50 yds 80 yds 40 yds 50 50 50 50 50 120 80 80 80 80 40 40 40 40 400 600 200 600 50 + Agenda

  13. Summary- The Distributive Property The Distributive Property The Distributive Property is a property in mathematics which helps to multiply a single term and two or more terms inside parenthesis. Check it out! Lets use the distributive property to write an equal expression. 2 2 3 + 5 Examples Formal definition Agenda

  14. Explore- Splitting Athletic Fields 8 x 5 3 2 x 4 x 5. An algebraic expression to represent the area of the rectangle below is . a. Write two different expressions to represent the area of each rectangle below. Agenda

  15. Explore- Splitting Athletic Fields 6. Use the distributive property to re-write each expression. You may want to draw a rectangle to represent the area. a) 10( a + 7) = ___________ b) 7(x + 3)=________________ c) x( 3 + 10)= ___________ d) a(10 + 9)= _______________ e) -2(x + 10)=_______ f) 3x(x + 10)= ______________ Agenda

  16. Assessment- Exit Slip Who correctly used the distributive property to write an equivalent expression? Provide evidence to support your answer. Riley Michael Michael did because he correctly distributed the 7 to all terms inside the parenthesis. Agenda

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