New York State Common Core

6 x

Mathematics Curriculum

GRADE

GRADE 6 • MODULE 4

Topic F:

Writing and Evaluating Expressions and Formulas 6.EE.A.2c, 6.EE.B.5 Focus Standard:

6.EE.A.2c

Write, read, and evaluate expressions in which letters stand for numbers c.

6.EE.B.5

Instructional Days:

Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas and to find the volume and surface area of a cube with sides of length .

Understand solving an equation or inequality as a process of answering a question; which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

5

Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction (P)

1

Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions (P) Lesson 20: Writing and Evaluating Expressions—Multiplication and Division (P) Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition (P) Lesson 22: Writing and Evaluating Expressions—Exponents (P)

Related Topics: More Lesson Plans for Grade 8 Common Core Math In Topic F, students demonstrate their knowledge of expressions from previous topics in order to write and evaluate expressions and formulas. Students bridge their understanding of reading and writing expressions to substituting values in order to evaluate expressions. In Lesson 18, students use variables to write expressions involving addition and subtraction from real-world problems. They evaluate those expressions when they are given the value of the variable. For example, given the problem “Quentin has two more 1

Lesson Structure Key: P-Problem Set Lesson, M-Modeling Cycle Lesson, E-Exploration Lesson, S-Socratic Lesson

Topic F: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org

Writing and Evaluating Expressions and Formulas 3/24/14 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

182

Topic F

NYS COMMON CORE MATHEMATICS CURRICULUM

6•4

dollars than his sister, Juanita,” students determine the variable to represent the unknown. In this case, students let Juanita’s money, in dollars. Since Quentin has two more dollars than Juanita, students represent his quantity as . Now, students can substitute given values for the variable to determine the amount of money Quentin and Juanita have. If Juanita has fourteen dollars, students substitute the with the amount, , and evaluate the expression:

Here, students determine that the amount of money Quentin has is the dollars Juanita has.

dollars because

is two more than

In Lesson 19, students develop expressions involving addition and subtraction from real-world problems. They use tables to organize the information provided and evaluate expressions for given values. They continue to Lesson 20 where they develop expressions again, this time focusing on multiplication and division from real-world problems. Students bridge their study of the relationships between operations from Topic A to further develop and evaluate expressions in Lesson 21, focusing on multiplication and addition in realworld contexts. Building from their previous experiences in this topic, students create formulas in Lesson 22 by setting expressions equal to another variable. Students assume, for example, that there are peanuts in a bag. There are three bags and four extra peanuts all together. Students express the total number of peanuts in terms of : . Students let be the total number of peanuts and determine a formula that expresses the relationship between the number of peanuts in a bag and the total number of peanuts, . From there, students are provided a value for , which they substitute into the formula: if , they determine that ( ) peanuts. In the final lesson of the topic, students evaluate formulas involving exponents for given values in real-world problems.

Topic F: Date: © 2013 Common Core, Inc. Some rights reserved. commoncore.org

Writing and Evaluating Expressions and Formulas 3/24/14 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

183

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