Expressions and Equations

Expanding, Factoring, and Distributing Expressions

Common Core: Engage New York6.EE.1, 6.EE.2, 6.EE.3 and 6.EE.4Lessons 9-14: 6.EE.2a, 6.EE.2b, 6.EE.3, 6.EE.4

Lesson 9: Writing Addition and Subtraction Expressions

Focus Standard: 6.EE.A.2a 6.EE.A.2b 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.

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 𝑦from 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 𝑠to find the volume and surface area of a cube with sides of length =1/2𝑠 .

Table of ContentsDate Title Page

2/6/14 NEW Focus 8- Algebraic Expression Scale and Chart Fresh Left

2/6/14 F8 Engage NY Lesson 1 –Add and subtract Relationship

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2/7/14 F8 Engage NY Lesson 2 – Multiplication and Division Relationship

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2/10/14 F8 Engage NY Lesson 3-Multiplication and Addition Relationship

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2/11/14 F8 Engage NY Lesson 4-Division and Subtraction Relationship

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2/19/2014 F8 ENY L5- Exponents Fresh Left

2/20/2014 F8 ENY L6- Order of Operations Fresh Left

2/25/2014 F8 ENY L7- Replacing Letters with Numbers Fresh Left2/28/2014 F8 ENY L8- Replacing Numbers with Letters Fresh Left

3/3/2014 F8 ENY L9- Writing + & - Expressions Fresh Left

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.

Today, I work towards achieving the Learning Goal

by focusing on the Learning Target for this lesson.

I will write expressions that record addition and subtraction operations with numbers.

Take a moment to ANALYSIS today’s Learning Target, using Marzano’s scale (0-4) evaluate and rate your prior knowledge, understanding and application.

Example 1 (3 minutes)-This lesson requires the use of a white board for each student.

1. Create a bar diagram to show 3 plus 5.

2. How would this look if you were asked to show 5 plus 3?

3. Are these two expressions equivalent?

Example 2 (3 minutes)-This lesson requires the use of a white board for each student.

1. How can we show a number increased by 2?

2. Can you prove this using a model?

Example 3 (3 minutes)-This lesson requires the use of a white board for each student.

1. Write an expression to show the sum of and .

2. Which property can be used in Examples 1-3 to show that both expressions given are equivalent?

Example 4 (3 minutes)-This lesson requires the use of a white board for each student.

1. How can we show 10 minus 6?• Draw a bar diagram to model this expression.

• What expression would represent this model?

• Could we also use ?

Example 5 (3 minutes)-This lesson requires the use of a white board for each student.

1. How can we write an expression to show 3 less than a number?• Start by drawing a diagram to model the subtraction. Are we taking

away from the 3 or the unknown number?

We are starting with some number and then subtracting away 3.• What expression would represent this model?

Example 6 (3 minutes)-This lesson requires the use of a white board for each student.

1. How would we write an expression to show the number being subtracted from the sum of and ?

• Start by writing an expression for the sum and .

• Now show being subtracted from the sum.

Example 7 (3 minutes)-This lesson requires the use of a white board for each student.

1. Write an expression to show minus the sum of and .

2. Why are parentheses necessary in this example and not the others?

3. Replace the variables with numbers to see if is the same as .

Worksheet Exercises (12 minutes)

Independently, you are going to complete a worksheet demonstrating your understanding and application of today’s Learning Target.

Read each problem carefully and I encourage you to refer to your class notes, if you have any questions.

You have up to 12 minutes so your focus is required.

Start Tuesday- period 1, 2

Closing (7 min)• Write the following in words.

• Is equivalent to ? Is equivalent to ? Discuss with your partner.• is equivalent to . Both of these expressions have the same

result. However, and will NOT have the same result. It would be starting a new total amount and taking away a different amount as well. This will give different solutions.

Example, and However, , but !

Exit Learning Target Assessment (5 mins) Writing Addition & Subtraction ExpressionsOn the back of the Lesson 9 Worksheet, you are going to complete the

following directions to assess your understanding and application of

today’s Learning Target. Read each direction carefully and refer your class

notes, to clarify any questions.

1. Write an expression showing: the sum of 8 and a number

2. Write an expression showing: 5 less than the number .

3. Write an expression showing:

the sum of a number and a number minus 11.

Today, I worked towards achieving the Learning Goal by

mastering the Learning Target for this lesson.

I CAN write expressions that record addition and subtraction operations with numbers.

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.

The End of Lesson 9

Writing Addition and Subtraction Expressions