Vocabulary Associated with Algebraic Expressions CONTEXT OF LESSON/PRE-REQUISITE KNOWLEDGE: Students have been introduced to translating verbal expressions to algebraic expressions. They have learned terms/phrases for addition, subtraction, multiplication, division, and exponents. Students should know what an operation is and know the difference between an expression and equation. Students should be able read and comprehend basic math vocabulary, take notes, and listen attentively during direct instruction (20-30 minutes). Additionally, students should be able to work in small learning groups and remain on task with minimal redirection for up to 20 minutes. LEARNING OBJECTIVES: Students will learn vocabulary associated with algebraic expression, including: variable, term, constant, and coefficient. Student will be able to identify a variable, term, constant, coefficient, and an algebraic expression or equation. Students will be able to translate verbal phrases into algebraic expressions and algebraic expressions into verbal phrases. Students will be able to write, read, and evaluate algebraic expressions in which letters stand for numbers. CCGPS STANDARDS OF LEARNING: Interpret expressions that represent a quantity in terms of its context. (Emphasis on linear expressions and exponential expressions with integer exponents.) (DOK 2) MCC9-12.A.SSE.1 MCC9-12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients.(Emphasis on linear expressions and exponential expressions with integer exponents.) (DOK 2) Vocabulary o Algebraic Expression—contains at least one variable, one number and one operation. An example of an algebraic expression is n + 7. o Variable—a letter that is used in place of a number. Sometimes, the variable will be given a value. This value will replace the variable in order to solve the equation. Other times, the variable is not assigned a value and the student is to solve the equation to determine the value of the variable. o Constant—a number that stands by itself. The 7 in our previous vocabulary term is an example of a constant. o Coefficient—a number in front of and attached to a variable. For example, in the expression 8x + 3, the 8 is the coefficient. o Term—each part of an expression that is separated by an operation. For instance, in our earlier example n + 7, the terms are n and 7. Pre - Assessment: “Naming Parts of Expressions” o Distribute to students “Naming Parts of Expressions” worksheet. This assignment should be used to formatively assess students and to place in appropriate groups for the activity. Differentiated Activities Support – Part 1: Students should be divided into teams (2 to 3 to a team). Players should take turns answering problems and checking their partners answer until all problems are answered. After students have mastered these problems, their team can move to Support – Part 2 or one of the On Target tasks. Support – Part 2: Cut cards out on two different colors of paper (verbal expressions on one and algebraic expressions on another). Students should match the cards accordingly and explain their reasoning to their partner. After students have mastered this task, their team can move on to one of the “On Target” tasks. On Target – Part 1: Students should be divided into collaborative pairs. One student receives worksheet “Verbal and Algebraic Expressions – Sheet A” and the other student receives worksheet “Verbal and Algebraic Expressions – Sheet B”. Students work individually and then compare their answers after both are finished. Students should discuss their answers with their partner. (or you can use Sheet C and D together or Sheet E and F together) After students have mastered this task, their team can move to Support –Part 2 task or Extend- Part 1 or 2 task. Extend – Part 1: Students can work alone or in collaborative pairs. Students should match the verbal expression with the algebraic expression. If students are working in pairs, they should discuss their answers with their partner. When students have mastered these problems, they can move on to Extend – Part 2 activity. Extend – Part 2: Teacher needs to cut out puzzle pieces before distributed to the student. Students can work alone or in collaborative pairs. Students should match the puzzle pieces accordingly. If students are working in pairs, they should discuss their answers with their partner. The teacher should check for accuracy. Pre-Assessment Naming parts of an expression Name: _______________ Date: ________________ Match the vocabulary to the correct definition. Write the answer in the blank on the left side of that paper. _____ _____ _____ _____ _____ 1. Algebraic Expression A. Each part of an expression separated by an operation 2. Coefficient B. A number that stands by itself 3. Constant C. A number that does not stand by itself. It is attached to the variable. 4. Term D. A letter that stands for a particular numerical value 5. Variable E. A number sentence without an equal sign, has at least one two terms and one operation Identify each part of the algebraic expression as the coefficient, constant, or variable. 1. 4x - 12 4 is a(n) ___________________ x is a(n) ___________________ 12 is a(n) __________________ 2. a + 3b a is a(n) ___________________ 3 is a(n) ___________________ b is a(n) __________________ 3. 6y 6 is a(n) ___________________ y is a(n) ___________________ Support – Part 1 Team Name: _________________________ Team Members: DIRECTIONS: Take turns translating each of the following into an equation. Check your partner’s work before turning in to the teacher. 1. Three less than “x” is equal to 13. ________________________ 2. The product of 9 and “m” is 45. ________________________ 3. A number divided by 6 is 18. ________________________ 4. A number plus 17 is 25. ________________________ 5. Seven times a number is 28. ________________________ 6. A number divided by 7 is 9. ________________________ 7. A number minus 12 is 20. ________________________ 8. The quotient of “y” and 3 is 25. ________________________ 9. One-fifth of “r” is 15. ________________________ 10. Six less than 2 times “y” is 34. ________________________ 11. Five more than “n” is equal to 9. ________________________ 12. A number increased by 3 is 19. ________________________ 13. The difference of “p” and 7 is 30. ________________________ 14. Fifteen multiplied by “k” is 75. ___________________________ 15. The sum of 3y and 5 is 47. ________________________ On Target – Part 1 Verbal and Algebraic Expressions: sheet A NAME: _______________________________________ PERIOD:________________ Algebraic Expression Verbal Expression X-5 5 more than twice x 5 + 3x The difference of 17 and 5 times a number 5x³ Coefficient/Variable On Target – Part 1 Verbal and Algebraic Expressions: sheet B NAME: _______________________________________ PERIOD:________________ Algebraic Expression Verbal Expression 5 less than x x² - 2 The sum of x and twice y 3 – 5x The product of 5 and x squared Coefficient/Variable Three times the sum of a number and 5. Five less than half of a number. Eight less than four times a number. Four times the Twice the sum Ten less than difference of a of a number and five times a number squared seven. number cubed. and six. The product of 4 and the Four less than square of a the difference Ten less than a number of a number number cubed. decreased by squared and six. 6. The sum of twice a number and 7 The sum of three times a number and 5. The difference of 5 and half of a number. Three times the *Write the *Write the difference of a verbal verbal number cubed expression of a expression of a and 10. card* card* 3(x + 5) 5–½x 2(x + 7) 4(x2 – 6) 4x2 – 6 3x + 5 ½x–5 x3 – 10 4x – 8 8 – 4x 3(x3 – 10) 2x + 7 5x2 – 10 5x3 – 10 2x - 5 2x – 6 2(x + 5) 2(x – 6) (x2 – 6) – 4 (2x – 6) – 4 Extend – Part 1 Name ______________________________ Date ______________ Block _____________ Match the verbal phrase on the left to the corresponding expression/equation on the right. Put the letter for your answer in the answer column. 1. the sum of x and 5 2. the product of n and 5 3. 12 less than x 4. the quotient of a number and 5 5. x subtracted from 12 6. 8 minus the product of 5 and n 7. The sum of twice a number and 13 8. twice a number minus 13 9. 15 less than x 10. x subtracted from 15 11. 2 more than twice a number 12. the product of a and 10 13. the quotient of 8 and x 14. c increased by 5 is 15 15. 4 more than a number is 12 16. the product of 4 and n is 12 17. The difference of 27 and k is 15 18. 8 less than 3 times x is 10 19. 3 times x increased by 8 is 20 20. a number minus 8 is 3 21. three times a number is 9 22. twice a number plus 1 is 11 23. 6 less than a number is 5 24. 6 more than a number is 15 25. 2 less than a number is 7 26. 5 subtracted from c is 15 A. x - 12 B. 8 - 5n C. n + 6 = 15 D. 27 - k = 15 E. x - 15 F. n + 4 = 12 G. k -2 = 7 H. 2n + 2 I. 15 - x J. c - 6 = 5 K. 5n L. 2n - 13 M. 2n + 13 N. 3x + 8 = 20 O. k - 8 = 3 P. x + 5 Q. 3x - 8 = 10 R. 2x + 1 = 11 S. 10a T. x/5 U. c + 5 = 15 V. c - 5 = 15 W. 8/x X. 4n = 12 Y. 12 - x Z. 3n = 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 v er b a l ex p/ equa ti on s 1 12 less than x c/5 a number minus 8 is 3 15 - x N v er b a l ex p/ equa ti on s 1 12 - x 5n x subtracted from 12 the product of n and 5 x+5 the quotient of a number and 5 the sum of x and 5 x - 12 the sum of twice a number and 13 v er b a l ex p/ equa ti on s 1 K v er b a l ex p/ equa ti on s 1 k-8=3 8 minus the product of 5 and n 15 less than x P T x subtracted from 15 2n + 13 v er b a l ex p/ equa ti on s 1 M 7 - k = 15 n + 4 = 12 x - 15 8 - 5n R v er b a l ex p/ equa ti on s 1 I v er b a l ex p/ equa ti on s 1 v er b a l ex p/ equa ti on s 1 v er b a l ex p/ equa ti on s 1 2x + 1 = 11 twice a number plus 1 is 11 3n = 9 three times a number is 9 v er b a l ex p/ equa ti on s 1 V Z 4 more than a number is 12 10a X 3 times x increased by 8 is 14 the product of a and 10 c + 5 = 15 2 more than twice a number the quotient of 8 and x twice a number minus 13 c-6=5 v er b a l ex p/ equa ti on s 1 c increased by 5 is 15 2n - 13 6 less than a number is 5 B 8/x 2n + 2 6 more than a number is 5 v er b a l ex p/ equa ti on s 1 the product of 4 and n is 12 4n = 12 D 3x - 8 = 10 3x + 8 = 14 n+6=5 8 less than 3 times x is 10 the difference of 7 and k is 15 Extend – Part 2 On Target – Part 1 Verbal and Algebraic Expressions: sheet C NAME: _______________________________________ PERIOD:________________ Algebraic Expression Verbal Expression 5 2x 3 decreased by the product of 5 and x 5x 3 2 The sum of x to the 5th power and 3 times y 3x 2 y Name/Letter On Target – Part 1 Verbal and Algebraic Expressions: sheet E NAME: _______________________________________ PERIOD:________________ Algebraic Expression Verbal Expression x5 2 less than x to the fifth power x5 3y The product of 5 and x 52 Name/Letter On Target – Part 1 Verbal and Algebraic Expressions: sheet D NAME: _______________________________________ PERIOD:________________ Algebraic Expression Verbal Expression 5 increased by 3 times a number x 2y The difference of 3 times x squared and y 5x The sum of a number and 5 Name/Letter On Target – Part 1 Verbal and Algebraic Expressions: sheet F NAME: _______________________________________ PERIOD:________________ Algebraic Expression Verbal Expression the product of 5 and the third power of x 5x 2 The difference of 5 times x cubed and 2 x5 5 squared Name/Letter

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# Verbal and Algebraic