Interactive Video Script Template Lesson Objective Course Semester Unit Lesson Math 6 A 6 2 Students will apply the Associative Properties of multiplication to generate equivalent expressions. CLIP A Introduction – 45 to 60 seconds Visual Audio <<show image – full screen>> Have you ever been part of a group? http://morguefile.com/archive/display/5673 00 http://morguefile.com/archive/display/7634 96 Been a member of the band, http://morguefile.com/archive/display/3173 5 a sport, http://morguefile.com/archive/display/6640 45 or a club? <<show image – full screen>> http://morguefile.com/archive/display/6596 85 Being a part of a group means you associate with the people in the group. <<show image – full screen>> http://morguefile.com/archive/display/9654 1 <<show example – centered on screen>> The associate property for addition or multiplication deals with numbers being a part of a group. For example, when multiplying, we can group 2 times 8 in this expression (2 * 8)* 4 <<fade parentheses around 8 and 4 in previous image. Reference below>> 2 * (8*4) <<show example – centered on screen>> (3 + 7) + 5 <<fade parentheses around 7 and 5 in previous. Reference below>> 3 + (7 + 5) <<show image – centered>> or we can group 8 times 4. Or, when adding, we can group 3 plus 7 or we can group 7 + 5 In this lesson, we are going to learn about (2 * 3) * 4 = 2*(3*4) the associative property of multiplication. <<show image – full screen>> But before we get started, let’s review http://morguefile.com/archive/display/7292 14 <<fade onto picture and center the following words>> Order of Operations Commutative Property of Multiplication Question for Clip A Stem: The associative property involves which of the following? Answers for Question A A. Grouping B. Changing the order C. Multiplying by zero D. Multiplying by 1 Correct Response A Correct – Go to Clip B Incorrect – Go to Clip E order of operations and the commutative property of multiplication. CLIP B <<show image – full screen>> Build on Introduction – 25 to 35 seconds There are steps you must follow in order to simplify an expression. http://morguefile.com/archive/display/1878 22 <<show images – full screen or as background >> http://morguefile.com/archive/display/2039 80 <Add the word “Parentheses” as an over lay on a step in the image> These steps are called the order of operations. They include doing parentheses first, <Add the word “Exponents” as an over lay on a step in the image> <Add the words “Multiplication and Division” as an over lay on a step in the image> <Add the word “Addition and Subtraction” as an over lay on a step in the image> then exponents, multiplication and division in order from left to right, and then addition and subtraction in order from left to right. <<show expression – centered>> 9 + 5*(6*1)-7 Question for Clip B Stem: What would you simplify first in the expression 12 – 7 *3*(1+6)? Answers for Question B A. 12-7 B. 7*3 C. 3*(1+6) D. 1+6 Correct Response D Using order of operations to simplify this expression, we would multiply 6 times 1 because it is inside of parentheses. Correct – Go to Clip C Incorrect – Go to Clip F CLIP C Build on Clip B – 25 to 35 seconds Visual Audio <<show image – full screen>> http://morguefile.com/archive/display/8977 5 Knowing the rules for orders of operations is important, but being able to use them in everyday life is even more important. <<show image – full screen>> http://pixabay.com/en/fruit-market-foodfresh-healthy-426002/ At the grocery store, you purchase <<show two images of the apples and then put $3.15 over center of both>> 2 bags of apples for three dollars and fifteen cents each, http://pixabay.com/en/apple-apple-salesmarket-fruit-318169/ <<show two images of the oranges and then put $2.29 over center of both>> and 2 bags of oranges that each cost two dollars and twenty-nine cents. http://morguefile.com/archive/display/8953 93 <<show image – full screen>> http://pixabay.com/static/uploads/photo/20 12/11/02/05/23/question-63916_640.jpg What is the total cost? <<show equation – center>> 2 * 3.15 + 2 *2.29 One equation could be 2 times three point one five plus 2 times two point two nine. <<highlight 2*3.15 and 2*2.29 in previous image>> Use order of operations and simplify multiplication first, since there are no parentheses or exponents. <<add expression below previous>> 6.30 + 4.58 We are now only left with addition. <<show image – full screen with $10.88 large and in center of image>> http://morguefile.com/archive/display/5807 02 The total cost is ten dollars and eightyeight cents. $10.88 Question for Clip C Stem: Sammy has $40 for the movies. It costs $10 for admission and he buys 2 candy bars for $2.50 each and a large drink for $4.25. How much money will he have left? Answers for Question C A. $20.75 B. $24.25 C. $25.00 D. $22.75 Correct Response A Correct – Go to Clip D Incorrect – Go to Clip G CLIP D Build on Clip C – 25 to 35 seconds Visual Audio <<show expression – centered>> 4*3 = 3*4 The commutative property of multiplication allows you to reorder numbers <<create array below expressions and place a 12 over each array>> and still get the same answer. = <<show image – full screen -- crop out question mark only as seen below>> http://morguefile.com/archive/display/8735 84 How can we use the commutative property of multiplication to make this expression easier to simplify? <<show expression centered on previous image>> 4 times 13 times 5 4* 13 * 5 <<background image fades leaving the expression>> 4 * 13 * 5 <<make 4 and 5 much larger than 13 to emphasize those numbers>> Since it is easier to multiply 4 times 5 <<make 4 and 13 much larger than 5 to emphasize those numbers>> than 4 times 13, <<Use a hand to drag and reorder 5 and 13>> let’s reorder our numbers using the commutative property of multiplication. 4 * 5 * 13 <<add to previous expression as shown below>> 4*5*13 = 20*13 = 260 When we simplify completely, we get 260. Question for Clip D Stem: Use the commutative property of multiplication to simplify 9 * 5 * 8 * 2. Answers for Question D A. 450 B. 720 C. 400 D. 700 Correct Response B Correct - Success Alert Incorrect – Go to Clip H CLIP E Remediation for Clip A – 25 to 35 seconds Visual Audio <<show image – full screen>> https://ununsplash.imgix.net/photo1416339276121ba1dfa199912?q=75&fm=jpg&s=9bf9f2ef5 be5cb5eee5255e7765cb327 The term ‘associative’ is similar to ‘associate’ which means ‘to group’. <<show image – full screen>> http://www.morguefile.com/archive/display/ 125200 You may create notecards to study for a test and group, or associate, the cards in a particular manner. <<show images below next to each other with a space between them>> In math, to group terms together, we use parentheses. http://commons.wikimedia.org/wiki/File:Left _parenthesis.svg http://commons.wikimedia.org/wiki/File:Rig ht_parenthesis.svg <<show example – centered>> (1 * 2) * 3 = 1 * (2 * 3) Question for Clip E An example would be the quantity of 1 times 2 times 3 equals 1 times the quantity 2 times 3. Stem: When grouping terms, you would use which of the following symbols? Answers for Question E A. * B. / C. ( ) D. + Correct Response C Correct – Go to Clip B Incorrect – Go to Clip F CLIP F Remediation for Clip B – 25 to 35 seconds Visual Audio <<image>> http://pixabay.com/en/safety-dangerinformation-warning-44471/ Order of operations are rules used to simplify expressions. <<show letters below as words are said>> PEMDAS Using Please Excuse My Dear Aunt Sally We can simplify expressions with multiple operations. <<show example on screen – center>> We will look for parentheses first. 5*(2 + 6)+22 <<highlight (2+6)>> <<add example below previous>> 5 *8+ 22 <<highlight 22>> Then, look for <<show example below previous>> 5*8+4 Is there multiplication or division? <<highlight 5*8>> Do these operations in order from left to right. exponents <<make an arrow and animate it going from left to right of the expression>> <<show example below – centered>> 40 + 4 Is there addition or subtraction? <<highlight 40+4>> Once again, do these in order from left to right. <<make an arrow and animate it going from left to right of the expression>> <<add answer to original expression>> 5*(2 + 6)+22 = 40 Question for Clip F Stem: Simplify. 32 (2+5) 3 Answers for Question F A. 8 B. 21 C. 7 D.18 Correct Response B Using order of operations, the answer is 40. Correct – Go to Clip C Incorrect – Intervention Alert – then Clip B CLIP G Remediation for Clip C – 25 to 35 seconds Visual Audio <<show image – full screen>> http://morguefile.com/archive/display/9248 12 We can use the order of operations to solve real world problems. <<show image – full screen>> Admission to a football game is $5 for adults and $3 for children or students. http://morguefile.com/archive/display/8371 79 <<show image – full screen>> http://commons.wikimedia.org/wiki/File:Fa mily_eating_lunch_(1).jpg How much would it cost for this family of 4 with 2 adults and 2 children to go to the game? <<show 5 dollar bill and three one dollar bills – next to each other>> Adults cost $5 and we have two adults, http://commons.wikimedia.org/wiki/File:5_d ollar_1953_silver_certificate.jpg http://commons.wikimedia.org/wiki/File:Unit ed_States_one_dollar_bill,_obverse.jpg and children cost $3 and there are two children. <<center expression on screen>> 5*2+3*2 So the expression is 5 times 2 plus 3 times 2. <<expression remains. show an arrow moving from left to right>> Using order of operations, we are going to do the multiplications in order from left to right. <<arrow fades. add expression under previous>> We now have only addition left. 10 + 6 <<show images below vertically fanned out>> http://commons.wikimedia.org/wiki/File:US 10dollarbill-Series_2004A.jpg It costs this family $16 to go to the game. http://commons.wikimedia.org/wiki/File:5_d ollar_1953_silver_certificate.jpg http://commons.wikimedia.org/wiki/File:Unit ed_States_one_dollar_bill,_obverse.jpg Question for Clip G Stem: Sam works on Friday and Saturday. He works 8 hours each day and makes $7.50 an hour on Friday and $8.25 an hour on Saturday. How much does he make on those two days? Answers for Question G A. 66 B. 126 C. 132 D. 120 Correct Response B Correct – Go to Clip D Incorrect – Go to Clip F CLIP H Remediation for Clip D – 25 to 35 seconds Visual Audio <<show expression – center on screen>> You can reorder 5*7=7*5 or swap numbers <<center title under previous and zoom to make larger>> using the commutative property of multiplication Commutative Property of Multiplication <<add newline under previous expression, above the text Commutative Property of Multiplication >> and get the same result. 5*7=7*5 35 = 35 <Show expression and array> 3*9 Look at 3 times 9 It equals 27. <<make a large 27 in center of array>> <Show expression and array> Now let’s look at 9 times 3. 9*3 It also equals 27. <<make a large 27 in center of array>> << show both arrays with 27 on center of each>> Question for Clip H The order of the numbers when we are multiplying doesn’t matter as you will get the same result either way. Stem: Which expression illustrates the commutative property of multiplication? Answers for Question H A. 25 * 15 * 4 = 25 * 4 * 15 B. 17 + 5 = 5 + 17 C. 8 * 0 = 0 D. 19 * 1 = 19 Correct Response A Correct – Success Alert Incorrect – Go to Clip G