expressions and exponential expressions with integer exponents.) (DOK 2)

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1 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: MCC9-12.A.SSE.1 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.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.

2 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.

3 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 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)

4 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 The product of 9 and m is A number divided by 6 is A number plus 17 is Seven times a number is A number divided by 7 is A number minus 12 is The quotient of y and 3 is One-fifth of r is Six less than 2 times y is Five more than n is equal to A number increased by 3 is The difference of p and 7 is Fifteen multiplied by k is The sum of 3y and 5 is 47.

5 On Target Part 1 Verbal and Algebraic Expressions: sheet A NAME: PERIOD: Algebraic Expression Verbal Expression Coefficient/Variable X more than twice x 5 + 3x The difference of 17 and 5 times a number 5x³

6 On Target Part 1 Verbal and Algebraic Expressions: sheet B NAME: PERIOD: Algebraic Expression Verbal Expression Coefficient/Variable 5 less than x x² - 2 The sum of x and twice y 3 5x The product of 5 and x squared

7 Three times the sum of a number and 5. Twice the sum of a number and seven. The product of 4 and the square of a number decreased by 6. The sum of twice a number and 7 Three times the difference of a number cubed and 10. Five less than half of a number. Ten less than five times a number cubed. Four less than the difference of a number squared and six. The sum of three times a number and 5. *Write the verbal expression of a card* Eight less than four times a number. Four times the difference of a number squared and six. Ten less than a number cubed. The difference of 5 and half of a number. *Write the verbal expression of a card*

8 3(x + 5) 3x + 5 ½ x 5 x ½ x 4x 8 8 4x 3(x 3 10) 2(x + 7) 2x + 7 5x x (x 2 6) 2x - 5 2(x + 5) (x 2 6) 4 4x 2 6 2x 6 2(x 6) (2x 6) 4

9 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 A. x the product of n and 5 B. 8-5n less than x C. n + 6 = the quotient of a number and 5 D k = x subtracted from 12 E. x minus the product of 5 and n F. n + 4 = The sum of twice a number and 13 G. k -2 = twice a number minus 13 H. 2n less than x I x x subtracted from 15 J. c - 6 = more than twice a number K. 5n the product of a and 10 L. 2n the quotient of 8 and x M. 2n c increased by 5 is 15 N. 3x + 8 = more than a number is 12 O. k - 8 = the product of 4 and n is 12 P. x The difference of 27 and k is 15 Q. 3x - 8 = less than 3 times x is 10 R. 2x + 1 = times x increased by 8 is 20 S. 10a a number minus 8 is 3 T. x/ three times a number is 9 U. c + 5 = twice a number plus 1 is 11 V. c - 5 = less than a number is 5 W. 8/x more than a number is 15 X. 4n = less than a number is 7 Y x subtracted from c is 15 Z. 3n = 9 26

10 6 less than a number is 5 the sum of x and 5 c - 6 = 5 n + 6 = 5 4n = k = 15 3x + 8 = 14 10a 2n n x + 5 the product of n and 5 2n n three times a number is 9 8 minus the product of 5 and n the sum of twice a number and 13 6 more than a number is 5 2 more than twice a number the product of a and 10 a number minus 8 is 3 the product of 4 and n is 12 the difference of 7 and k is 15 k - 8 = 3 Extend Part 2 8 less than 3 times x is 10 3x - 8 = 10 3 times x increased by 8 is 14 D B Z verbal exp/ equations 1 verbal exp/ equations 1 verbal exp/ equations 1 8/x c increased by 5 is 15 4 more than a number is 12 the quotient of 8 and x c + 5 = 15 n + 4 = 12 X V T verbal exp/ equations 1 verbal exp/ equations 1 verbal exp/ equations 1 2n - 13 x - 15 x subtracted from 15 twice a number minus less than x 15 - x R P N verbal exp/ equations 1 verbal exp/ equations 1 verbal exp/ equations 1 x - 12 the quotient of a number and x 12 less than x c/5 x subtracted from 12 M K I verbal exp/ equations 1 verbal exp/ equations 1 verbal exp/ equations 1 2x + 1 = 11 twice a number plus 1 is 11 3n = 9

11 On Target Part 1 Verbal and Algebraic Expressions: sheet C NAME: PERIOD: Algebraic Expression Verbal Expression Name/Letter 5 2x 3 decreased by the product of 5 and x 5x 3 2 The sum of x to the 5 th power and 3 times y 2 3 x y

12 On Target Part 1 Verbal and Algebraic Expressions: sheet E NAME: PERIOD: Algebraic Expression Verbal Expression Name/Letter x 5 2 less than x to the fifth power x 5 3y The product of 5 and x 2 5

13 On Target Part 1 Verbal and Algebraic Expressions: sheet D NAME: PERIOD: Algebraic Expression Verbal Expression Name/Letter 5 increased by 3 times a number x 2y The difference of 3 times x squared and y 5 x The sum of a number and 5

14 On Target Part 1 Verbal and Algebraic Expressions: sheet F NAME: PERIOD: Algebraic Expression Verbal Expression Name/Letter the product of 5 and the third power of x 2 5x The difference of 5 times x cubed and 2 x 5 5 squared