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Writing Algebraic Expressions 1 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 Written Expression 1) 3 9 a) the product of 9 and 3 2) 9 3 b) 9 subtracted by 3 3) 9 3 c) 9 divided by 3 4) 9 3 d) the sum of 3 and 9 Agenda 2 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 PC Users 3 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- PC User Click each word to place it in the correct operation Directions: Put each word from the list into the operation’s box that it most likely expresses. more than plus sum increased by in all Addition Subtraction Multiplication Division difference minus less than decreased by subtract less product factors twice of each multiplied times divided per quotient separate ratio Click below to reveal the words for each operation. 4 Addition 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 Subtraction Multiplication Division Explore-Mini Lesson Write the following as a numerical expression. •The product of ten and seven. 10 7 or 10 7 •The product of ten and five. 10 5 or 10 5 •The product of ten and a number. VARIABLE Think…what can we use to represent a number when we don’t know the number? Click to reveal next part Agenda 5 Explore Write the following as a numerical expression. Numerical Expression: an expression containing 10 7 or 10 7 one or more numbers and operations i.e. 4+7. Click to Return Click to reveal next part Agenda 6 Explore- Mini Lesson Variable: a letter or symbol that represents an unknown quantity. Write as a algebraic expression. The product of ten and a 10 n 10 n Now, for my next trick, I introduce a new way number. will to write multiplication. 10n A number written next to a variable means multiplication. Agenda 7 Explore- Mini Lesson This new expression, 10n, is called an Algebraic Expression. Why do mathematicians call them Algebraic Expressions? • Algebraic Expression: an expression containing at least one variable. x 4n 5t 8 • Numerical Expression: an expression containing one or more numbers and operations. 47 57 8 Click to reveal next part Agenda 8 Explore- Mini Lesson • Written Expression: an expression written with words. The sum seventeen and number Three times the difference of nine and seven • Variable: any letter in the alphabet or symbol that represents an unknown quantity. n p h Agenda 9 Practice- Whole Class Write an algebraic expression for the problems Important!!!! below. Identify the a) The sum of ten and a number. operation(s) by 10 x underlining key words. b) The quotient of a number and twelve. t 12 t 12 c) Eleven decreased by five times a number. 11 5n Agenda 10 Practice- Partners Name ________________ Date ___________ Class Work: Written Expressions vs. Algebraic Expressions Directions: Match the written expressions in Column A with the algebraic 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 x 10 x 10 8x 10 x 10 3 x 10 2 x Ten decreased by three times a number 10 x 8 8 x Eight increased by a number 2x 8 x 8 Eight less than twice a number Ten divided by a number The product of eight and a number COLUMN B Agenda 11 Practice- Summary Class Work: Written Expressions vs. Algebraic Expressions Directions: Match the written expressions in Column A with the algebraic 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 COLUMN B x 10 x 10 8x 10 x Ten divided by a number Eight less than twice a number 10 3 x 10 2 x The product of eight and a number Ten decreased by three times a number 10 x 8 8 x A number decreased by ten Eight increased by a number Ten more than twice a number 2x 8 x 8 Agenda 12 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 13