6th Grade Math HOMEWORK ANSWERS Lesson 16 Review & Lesson 17 Exit Ticket

Expressions and Equations Writing & evaluating expressions and Formulas Common Core: Engage New York 6.EE.1, 6.EE.2, 6.EE.3, 6.EE.4, 6.EE.5, 6.EE.6, 6.EE.7, 6.EE.8, 6.EE.9

Lesson 18: Writing & evaluating expressions- addition & subtraction 6.EE.A.2, 6.EE.A.2c, 6.EE.B.5

What does 6.EE.A.1 cover? Write and evaluate numeric expressions involving whole-number exponents.

What does 6.EE.A.2 cover? Write, read, and evaluate expressions in which letters stand for numbers a. Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract 𝑦 from 5” as 5−𝑦. b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2(8+7) as a product of two factors; view (8+7) as both a single entity and a sum of two terms. c. 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 𝑉=𝑠3 and 𝐴=6𝑠2 to find the volume and surface area of a cube with sides of length 𝑠=1/2.

What does 6.EE.A.3 cover? Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2+𝑥) to produce the equivalent expression 6+3𝑥; apply the distributive property to the expression 24𝑥+18𝑦 to produce the equivalent expression 6(4𝑥+3𝑦); apply properties of operations to 𝑦+𝑦+𝑦 to produce the equivalent expression 3𝑦.

What does 6.EE.A.4 cover? Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions 𝑦+𝑦+𝑦 and 3𝑦 are equivalent because they name the same number regardless of which number 𝑦 stands for.

What does 6.EE.A.5 cover? 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.

Date Title Page Table of Contents 3/17/14 F8 ENY L11&12- Factoring & Distributing Marzano: Fresh Left 3/18/14 F8 ENY L13&14- Writing Division Expressions 3/19/14 F8 ENY L15&16- Read & Write Expressions with Variables 3/20/14 F8 ENY L17- Read & Write Expressions with Variables 3/24/14 F8 ENY L18- Write & Eval Expressions (+ and -) Pre- ??? Post- ??? Pre- ??? Post- ??? Pre- ??? Post- ??? Pre- ??? Post- ??? Pre- ??? Post- ???

Before we start the Learning Target Lesson, think about the Learning Target for today…. How much prior knowledge do you have regarding that goal? Chart your prior knowledge using your pre-target score icon. MARZANO SCALE RATING

Today, I work towards achieving the Learning Goal by focusing on the Learning Target for this lesson. I will use variables to write expressions involving addition and subtraction from real- world problems. I will evaluate these expressions when given the value of the variable. Take a moment to ANALYZE today’s Learning Target, using Marzano’s scale (0-4) evaluate and rate your prior knowledge, understanding and application.

Focus 8 Algebraic Expression Learning Goal I am able to work with numerical expressions and use letters to represent unknowns in problem solving situations I am able to investigate and apply properties of operation in numerical contexts, such as the associative, distributive, and commutative properties. I can build on my understanding of inverse operations to solve algebraic expressions.

Mathematical Words & Operations

Lesson 18: Example 1: The Importance of Being Specific in Naming Variables When naming variables in expressions, it is important to be very clear about what they stand for. The units of measure must be included if something is measured. 1. Read the variable in the table and improve the description given, making it more specific.

Lesson 18: Example 1: The Importance of Being Specific in Naming Variables 2. Read each variable in the table and improve the description given, making it more specific.

Lesson 18: Example 2: Writing & Evaluating Addition & Subtraction Expressions Read each story problem. Identify the unknown quantity, and write an addition or subtraction expressions that is described. Finally, evaluate your expression using the information given in column four.

Lesson 18: Example 2: Writing & Evaluating Addition & Subtraction Expressions

Lesson 18: Example 2: Writing & Evaluating Addition & Subtraction Expressions

Lesson 18 Closing Why is it important to describe the variable in an expression? The biggest reason to define the variable is to know what the expression represents. If something is measured, include units. If something is counted, include that it is a number of items. How do you determine if an expression will be an addition expression or a subtraction expression? In the first problem above, if we define 𝑥 as the amount of money that Jeff has, then we would write an expression for the amount of money that Gregg has as 𝑥+2. However, if we define the variable to be the amount of money that Gregg has, then we would write an expression to represent the amount of money that Jeff has as 𝑥−2. Since the story problem represents a relationship between two quantities, both expressions are equally relevant.

I CAN evaluate these expressions when given the value of the variable. Today, I worked towards achieving the Learning Goal by mastering the Learning Target for this lesson. I CAN use variables to write expressions involving addition and subtraction from real- world problems. I CAN evaluate these expressions when given the value of the variable. Take a moment to REFLECT on today’s Learning Target, using Marzano’s scale (0-4) evaluate and rate how you built upon your prior knowledge, demonstrated understanding and application.

6th Grade Math HOMEWORK Lesson 18 Exit Ticket