21 st Century Lessons Distributive Property 1

Warm Up Objective: Students will be able to apply the distributive property to write equivalent expressions. Agenda 2 Ronisha and Kalyn are arguing whether the answer to can be found by doing the following work. Do you think this is correct? Explain. Language Objective: Students will be able explain how to use the distributive property verbally and in writing.

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

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

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

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

Explore- Splitting Athletic Fields 7 Agenda 50 yds 120 yds 50 yds 80 yds40 yds 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 120 yds 30 yds

8 Agenda 50 yds 120 yds 20 yds 120 yds 30 yds 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? + Explore- Splitting Athletic Fields =240  =360 

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

10 Agenda 3. The field is divided into two parts. 40 yds 80 yds 50 yds 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. b. Write a different numerical expression to calculate the area of the field. _______________ ______ Explore- Splitting Athletic Fields

Summary- The Distributive Property 11 Agenda 20 yds 120 yds 30 yds 50 yds 80 yds40 yds Let’s look at the two equivalent ways of finding the area and connect it to an important property in math. The Distributive Property

12 Agenda The Distributive Property Summary- The Distributive Property 50 yds 80 yds40 yds

13 Agenda 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. Lets use the distributive property to write an equal expression Check it out! Examples Summary- The Distributive Property Formal definition

14 Agenda 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. Summary- The Distributive Property States that the product of a number and a sum is equal to the sum of the individual products of addends and the number. example

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

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

Assessment- Exit Slip 17 Agenda 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.