Day 1 Lesson 3 1 Algebraic Expressions Students

Day 1 Lesson 3. 1 Algebraic Expressions Students will be able to combine like terms 1

Homework (11/14/16) Workbook: Record and Practice Journal Page 41 and 42 2

OBJECTIVE: Students will be able to determine if expressions are equivalent by combining like terms. Language Objective: Students will be able to explain in words how to combine like terms. True or False? Explain your answer. a. True b. c. d. True False True Agenda 3

Explore- Using Tiles Let each x represent a red tile. We just So, how many tiles would we need? x x x combined all the x’s! Can we represent 3 x another way using tiles? x x + x Definition 4 Agenda

Explore- Using Tiles What would you get if you combined 2 x + 4 x? x x + x x x x Now combine! x Is this the only way to show 6 x? Agenda 6

Explore- Using Tiles Is this the only way to show 6 x? x x x + x x x 5 x More Practice 7 x + 3 x x x 3 x + 1 x Agenda

Summary- No Tiles How can we combine without using tiles? 5 x + 3 y + 2 x + y Identify variables that are the same Commutative Property + Now Combine! Agenda 9

Summary- Vocabulary Example Vocabulary • Term: a single number, variable, or number and variables multiplied together. are terms in this expression. • Like Terms: terms that have the same variable or power. and Agenda 10

Expression – Numbers, symbols and operators (such as + and ×) grouped together that show the value of something. Example: 2 x +1 is an expression Equation – A statement that the values of two mathematical expressions are equal, it has an equal sign. Example: 3 x + 2 x = 5 x 11

Day 2 Lesson 3. 1 Algebraic Expressions Students will be able to combine like terms with rational numbers 12

Homework (11/16/16) Textbook: Big Ideas. Pg 84. #5 -14 ALL 13

Practice- Partners I. Model the following expression by drawing squares. Let =x =y a. + b. + + + Agenda 15

Practice- Partners II. Explain why the two expressions are not equal to each other. 2 x and 4 y are not like terms, therefore, you cannot combine them. Another Explanation 16 Agenda

Practice- Partners III. Write an equivalent expression for the following expressions. 1. 2. 3. Agenda 18

Practice- Partners IV. Explain Yvonne’s mistake in the following problem. Yvonne just added all the numbers together. She can add numbers that are the like terms, 8 x and 6 x, but not 2 since it does not have an x. Agenda 19

Assessment- Exit Slip Jose and Amy were asked to combine 7 x + 2 y + 6 y + 3 x. Decide who is correct. Explain. Jose 7 x + 2 y + 6 y + 3 x Jose’s work 7 x + 3 x + 2 y + 6 y 10 x + 8 y 18 xy 7 x + 2 y + 6 y + 3 x = 18 xy Amy 7 x + 2 y + 6 y + 3 x Amy’s work 7 x + 3 x + 2 y + 6 y 10 x + 8 y 7 x + 2 y + 6 y + 3 x = 10 x + 8 y Agenda 20

Summary- Process 1. Copy the expression 2. Identify the like terms 5 x + 3 y + 2 x + y 3. Rewrite using the Commutative Property 4. Combine the variables that are the same Agenda 21

Summary- Quick Check With your partner, write an equivalent expression for the following: #1. 4 a + 6 b + 3 a + 9 b 7 a + 15 b #2. 15 x – 4 x + 12 11 x + 12 #3. y + y #4. 5 y + 7 z 3 y Click for definition 22 5 y + 7 z Agenda

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Stand Quietly 25

Day 3 Lesson 3. 1 Algebraic Expressions Students will be able to use distribute property to combine like terms. 26

Homework (11/17/16) Lesson 3. 1 page 4 27

Homework Solutions (#5 -14) 28

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Day 4 Lesson 3. 1 Algebraic Expressions Students will be able to translate written expressions into express algebraic expressions 31

Warm Up-Matching OBJECTIVE: SWBAT write an algebraic expression from a written expression. LANGUAGE OBJECTIVE: SWBAT discuss the difference between algebraic and written expressions. Choose the numerical expression that best matches each written expression. Numerical Expression 1) 2) 3) 4) d a c b Written Expression a) the product of 9 and 3 b) 9 subtracted by 3 c) 9 divided by 3 d) the sum of 3 and 9 Agenda 32

Launch-Operations to Words Directions: Put each word from the list into the operation’s box that it most likely expresses. Addition Subtraction Multiplication Division 33 PC Users plus difference less than factors decreased by times ratio increased by separate minus of sum product multiplied less more than in all divided quotient per subtract each twice Agenda

Launch- Mac User Directions: Put each word from the list into the operation’s box that it most likely expresses. more than plus Addition sum increased by in all Subtraction Multiplication Division 34 difference minus less than decreased by subtract less product factors twice of each multiplied times divided per quotient separate ratio Next Slide plus difference less than factors decreased by times ratio increased by separate minus of sum product multiplied less more than in all divided quotient per subtract each twice Agenda

Explore- Mini Lesson Variable: a letter or symbol that represents an unknown quantity. Write as a algebraic expression. The product of ten and a number. A number written next to a variable means multiplication. Agenda 36

Vocabulary • Algebraic Expression: an expression containing at least one variable. • Numerical Expression: an expression containing one or more numbers and operations. Click to reveal next part Agenda 37

Practice- Whole Class Write an algebraic expression for the problems Important!!! below. ! a) The sum of ten and a number. b) The quotient of a number and Identify the operation(s) by twelve. underlining key words. c) Eleven decreased by five times a number. Agenda 38

Examples • Addition phrases: – 3 more than x 3 + x or x + 3 – the sum of 10 and a number c 10 + c or c+ 10 n increased by 4. 5 – a number 4. 5 + n or n + 4. 5

Examples • Subtraction phrases: – a number t decreased by 4 t-4 – the difference between 10 and a number y 10 - y – 6 less than a number z z-6

Examples • Multiplication phrases: – the product of 3 and a number t 3 t – twice the number x 2 x – 4. 2 times a number e 4. 2 e

Examples • Division phrases: – the quotient of 25 and a number b – the number y divided by 2 – 2. 5 divide g

Practice- Partners Name ________ Date Directions: Match the written expressions in Column A with the Class Work: Written Expressions vs. Algebraic algebraic expressions in Column B. COLUMN A The sum of a number and ten The quotient of a number and eight Expressions The product of ten and a number increased by eight COLUMN B Eight less than twice a number Ten divided by a number The product of eight and a number Ten decreased by three times a number Eight increased by a number Agenda 43

Practice- Summary Class Work: Written Expressions vs. Algebraic Directions: Match the written expressions in Column A with the algebraic expressions Expressions in Column B. COLUMN A The sum of a number and ten The quotient of a number and eight The product of ten and a number increased by eight Ten divided by a number Eight less than twice a number The product of eight and a number Ten decreased by three times a number A number decreased by ten Eight increased by a number Ten more than twice a number COLUMN B Agenda 44

Assessment- Exit Slip Directions: 1) Write your own algebraic expression using n, 3, 5. You must use at least 2 operations. 2) Translate your algebraic expression into a written expression. 3) Turn and Talk: Read your written expression to your partner. Have your partner write the algebraic expression. Switch roles. Agenda 45