6th Grade Math HOMEWORKANSWERS

Lesson 16 Review&

Lesson 17 Exit Ticket

EXPRESSIONS AND EQUATIONS

WRITING & EVALUATING EXPRESSIONS AND FORMULAS

Common Core: Engage New York6.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.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 = 3 𝑉 𝑠 and =6 2 𝐴 𝑠 to find the volume and surface area of a cube with sides of length =1/2𝑠 .

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.

Table of Contents

Date Title Page

3/17/14 F8 ENY L11&12- Factoring & DistributingMarzano:

Fresh Left

3/18/14 F8 ENY L13&14- Writing Division ExpressionsMarzano:

Fresh Left

3/19/14 F8 ENY L15&16- Read & Write Expressions with VariablesMarzano:

Fresh Left

3/20/14 F8 ENY L17- Read & Write Expressions with VariablesMarzano:

Fresh Left

3/24/14 F8 ENY L18- Write & Eval Expressions (+ and -)

Marzano: Fresh Left

Pre- ??? Post- ???

Pre- ??? Post- ???

Pre- ??? Post- ???

Pre- ??? Post- ???

Pre- ??? Post- ???

MARZANO SCALE RATING

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.

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 +2𝑥 . 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 −2𝑥 . Since the story problem represents a relationship between two quantities, both expressions are equally relevant.

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