Math Expressions Exploration for Elementary Students
This content discusses numerical and algebraic expressions, teaching students how to match written expressions to numerical expressions, understand the concept of variables, and differentiate between algebraic and numerical expressions. It also covers basic operations like addition, subtraction, multiplication, and division in a fun and engaging way.
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Ticket In the Door Choose the numerical expression that best matches each written expression. Numerical Expression Written Expression 3+ 9 9 9 9 1) a) the product of 9 and 3 3 2) b) 9 subtracted by 3 3 3 3) c) 9 divided by 3 4) d) the sum of 3 and 9 Agenda Agenda 1
Agenda: 1) Ticket in the Door 2) Launch 1) Ticket in the Door Matching-Independent Operations to Words-Groups 3) Explore Mini Lesson-Whole Class 4) Practice Matching Expression-Whole Class and Partners 5) Assessment 5) Assessment Exit Slip-Independent and Partners Agenda Agenda 2
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 factors decreased by times ratio Addition increased by separate minus of Subtraction sum product multiplied less Multiplication more than in all divided quotient per Division subtract each twice PC Users Agenda Agenda PC Users 3
Explore-Mini Lesson numerical expression. Write the following as a numerical expression. The product of ten and seven. 7 10 or 10 7 The product of ten and five. 5 10 The product of ten and a number. Think what can we use to represent a number when we don t know the number? 10 5 or VARIABLE Click to reveal next part Agenda Agenda 5
Explore- Mini Lesson Variable: a letter or symbol that represents an unknown quantity. Write as a algebraic expression. Now, for my next trick, I will introduce a new way to write multiplication. The product of ten and a number. n 10 10 n 10 n A number written next to a variable means multiplication. Agenda 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 n + 4 5 t 8 Numerical Expression: an expression containing one or more numbers and operations. 7 4+ 5 7 8 Click to reveal next part Agenda 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 Agenda 9
Practice- Whole Class Write an algebraic expression for the problems below. a) The sum of ten and a number. x + 10 Important!!!! Identify the operation(s) by underlining key words. b) The quotient of a number and twelve. 12 t t 12 c) Eleven decreased by five times a number. n 5 11 Agenda Agenda 10
Practice- Partners Name ________________ Class Work: Written Expressions vs. Algebraic Expressions Directions: Match the written expressions in Column A with the algebraic expressions in Column B. COLUMN A Date ___________ COLUMN B The sum of a number and ten The product of ten and a number increased by eight + 10 10 x x 10 8 x x The quotient of a number and eight Eight less than twice a number 10 10 + 3 x 2 x Ten divided by a number Ten decreased by three times a number + x 10 + x 8 x 8 The product of eight and a number Eight increased by a number 2 x 8 8 Agenda 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 COLUMN B 10 + 10 x x The sum of a number and ten The product of ten and a number increased by eight 10 8 x x The quotient of a number and eight 10 10 + 3 x 2 x Eight less than twice a number Ten divided by a number + 8 x 10 + x 8 The product of eight and a number Ten decreased by three times a number 2 x 8 x A number decreased by ten Ten more than twice a number 8 Eight increased by a number Agenda Agenda 12
Assessment- Exit Slip Directions: 1) Write your own algebraic expressionusing 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. 3) Agenda Agenda 13
