Writing Algebraic Expressions

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Writing Algebraic Expressions
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Presentation transcript:

Writing Algebraic Expressions

d a c b Warm Up-Matching 1) 2) 3) 4) a) the product of 9 and 3 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 d 1) 2) 3) 4) a) the product of 9 and 3 b) 9 subtracted by 3 c) 9 divided by 3 d) the sum of 3 and 9 a c b

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

Launch- PC User more than plus increased by sum in all Addition 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. plus difference less than more than Addition Subtraction Multiplication Division plus factors increased by decreased by sum times in all ratio increased by minus difference separate decreased by less than minus of subtract less sum product times product factors multiplied less twice of multiplied more than each in all divided divided quotient quotient per separate per subtract ratio each twice

The product of ten and seven. Explore-Mini Lesson Write the following as a numerical expression. The product of ten and seven. or The product of ten and five. or 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

Variable: a letter or symbol that represents an unknown quantity. Explore- Mini Lesson Variable: a letter or symbol that represents an unknown quantity. Now, for my next trick, I will introduce a new way to write multiplication. Write as a algebraic expression. The product of ten and a number. A number written next to a variable means multiplication.

Vocabulary Explore- Mini Lesson This new expression, 10n, is called an Algebraic Expression. Why do mathematicians call them Algebraic Expressions? 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

Vocabulary 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.

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

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 COLUMN B The sum of a number and ten Ten divided by a number Eight less than twice a number The product of ten and a number increased by eight The quotient of a number and eight Ten decreased by three times a number The product of eight and a number Eight increased by a number

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 COLUMN B The sum of a number and ten The product of ten and a number increased by eight The quotient of a number and 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

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) 3) Turn and Talk: Read your written expression to your partner. Have your partner write the algebraic expression. Switch roles.