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- 6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents.
- 6.EE.A.2Write, read, and evaluate expressions in which letters stand for numbers.
- 6.EE.A.3Apply 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.A.4Identify 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.A.2aWrite expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y.
- 6.EE.A.2bIdentify 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.
- 6.EE.A.2cEvaluate 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 = s<sup>3</sup> and A = 6 s<sup>2</sup> to find the volume and surface area of a cube with sides of length s = 1/2.

6.EE.A.2b

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.

Perimeter, Area, and Combining Like Terms

6th Grade Math

» Unit:

Expressions, Equations, & Inequalities

Big Idea:What are similarities and differences between these figures? What expressions represent the perimeter and area of each figure? Students combine like terms and create expressions to represent the perimeter and area of figures created with algebra tiles.

Evaluating Expressions

6th Grade Math

» Unit:

Expressions

Big Idea:The value of an algebraic expression can be found by replacing the variables with given numbers and applying the order of operations to simplify the expression.

What is Algebra?

6th Grade Math

» Unit:

Expressions

Big Idea:What do 6th grade students really need to know about Algebra?

Translating Algebraic Expressions and Equations

6th Grade Math

» Unit:

Expressions, Equations, & Inequalities

Big Idea:Students will translate between the written form and algebraic form using correct mathematical notation.

Unit Test

6th Grade Math

» Unit:

Expressions, Equations, & Inequalities

Big Idea:What have students learned during this unit? What gaps do students have in their understanding? Students take the Unit 6 test.

Writing and Evaluating Expressions

6th Grade Math

» Unit:

Expressions

Big Idea:The value of an algebraic expression can be found by replacing the variables with a known value and following the order of operations

Area and the Distributive Property

6th Grade Math

» Unit:

Expressions, Equations, & Inequalities

Big Idea:The area of a rectangle is x^2 + 10x. How can you represent this area as a product? Students apply their knowledge of area and the distributive property to expand and factor algebraic expressions.

Combine Like Terms

7th Grade Math

» Unit:

Expressions and Equations - The Basics

Big Idea:Students are motivated by achievement points and HW passes to complete a 2 part task of combining like terms to simplify algebraic expressions

Distributive Property

7th Grade Math

» Unit:

Expressions and Equations - The Basics

Big Idea:Students are randomly assigned to groups to distribute positive numbers

Numerical Expression, Algebraic Expressions… What’s the difference?

6th Grade Math

» Unit:

Expressions

Big Idea:Express Your Self! The many different ways that a quantity can be expressed mathematically.

Writing Algebraic Expressions

6th Grade Math

» Unit:

Expressions

Big Idea:Algebraic expressions can both represent verbal expressions and communicate the meaning of the verbal expression.

Algebraic Expressions and the Real-World

6th Grade Math

» Unit:

Expressions

Big Idea:Expressions can be used to represent a mathematical or real-world problem in an abstract way using numbers and symbols to make meaning of and understand problems.

Multi-Step Expressions and the Real World

6th Grade Math

» Unit:

Expressions

Big Idea:Expressions can be used to represent a mathematical or real-world problem in an abstract way using numbers and symbols to make meaning of and understand problems.

Language of Algebra with Real World Contexts

Algebra I

» Unit:

Expressions, Equations, and Inequalities

Big Idea:To Bring the Language of Algebra Alive in the Context of Real World Scenarios!

Unit 3 Pre-Assessment

6th Grade Math

» Unit:

Expressions

Big Idea:Understand where students are, so that you can map a journey to where you want them to be.

6.EE.A.2a

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.

6.EE.A.2b

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.

6.EE.A.2c

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 = s^{3} and A = 6 s^{2} to find the volume and surface area of a cube with sides of length s = 1/2.