**UNIT 3 Packet LINKED**Common Core Standards

6.EE.2 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 = 6 s2 to find the volume and surface area of a cube with sides of length s = ½.*

6.EE.3 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.*

6.EE.4 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.*

6.EE.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

Math Practice Standards

**MP.1**Make sense of problems and persevere in solving them.

**MP.2**Reason abstractly and quantitatively.

**MP.3**Construct viable arguments and critique the reasoning of other.

**MP.4**Model with mathematics.

**MP.6**Attend to precision.

Vertical Alignment

- In 5th grade students write and evaluate simple expressions with parenthesis, brackets and braces.
- In 5th grade students explore the distributive property.
- In CCMI students interpret linear expressions, exponential expressions with integer exponents and quadratic expressions.
- Previous in this course student learn the algorithm for how to perform operations with integers and rational numbers.
- In CCMI students compare and analyze graphs by isolating expressions within functions.
- In CCMI students factor expressions.
- To determine additional ways to support and enrich student learning, please access the K-12 progression here -
**Turn on CC Math**

Essential Understanding(s)

Students will understand that…

- there are different parts of an algebraic expression
- math properties can help simplify expressions
- only like terms can be combined when simplifying an expression
- simplifying two expressions will help to determine if the expressions are equivalent
- area models can be used to illustrate the distributive property
- any expression can be factored as the product of the GCF and the remaining factors
- expressions can be written, spoken and evaluated for everyday situations

- What are the characteristics/parts of an algebraic expression?
- How are math properties used to simplify expressions?
- When can parts of an algebraic expression be combined?
- Is the distributed property named appropriately?
- How can I best demonstrate the distributive property?
- What are different ways an expression can be represented?
- What are some everyday life situations that can be represented as algebraic expressions?
- If x is a negative number, then what would -x equal?

Essential Vocabulary

Addend

Additive Identity

Algebraic Expressions

Associative Property

Coefficient

Commutative Property

Constant

Difference

Distributive Property

Equivalent

Equivalent Expressions

Evaluate

Expression

Factor

Integer

Least Common Multiple

Like terms

Multiple

Multiplicative Identity

Multiplicative Inverse

Multiplicative Property of Zero

Numerical Expression

Product

Quantity

Quotient

Sum

Term

Unlike Terms

Variable