# MAT-06 "I can ... statements"

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# Expressions and Equations

## Narrative for the (EE) Expressions and Equations

In the future this will contain narratives and other information about the Domain.

## Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.

#### MAT-06.EE.01

Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions

MAT-06.EE.01 Write and evaluate numerical expressions involving whole number exponents.

## Student Learning Targets:

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### Product Targets

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Rubric - Resources

#### MAT-06.EE.02

 6th Grade MAT Targeted StandardsDomain (EE) Expressions and EquationsCluster: Apply and extend previous understandings of arithmetic to algebraic expressions. MAT-06.EE.02 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. 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. 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).

## Student Learning Targets:

### Knowledge Targets

• I can use a variable to represent an unknown quantity in an expression.
• I can solve multistep problems involving properties of operations.
• I can identify parts of an expression using mathematical terms.
• I can identify parts of an expression as single quantities.

### Reasoning Targets

• I can translate a description into a mathematical expression.
• I can use Order of Operations to simplify expressions that may include exponents.

### Skills Domain (Performance) Targets

• I can simplify expressions when a value is given for a variable.
• I can solve multistep expressions involving properties of operations.

## Proficiency Scale

Please refer to the proficiency scales for sub-standards MAT-06.EE.02a | MAT-06.EE.02b | MAT-06.EE.02c

## Resources

### Websites

#### MAT-06.EE.02.a

 6th Grade MAT Targeted Standards Domain (EE) Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions Write, read, and evaluate expressions in which letters stand for numbers. MAT-06.EE.02.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.

## Student Learning Targets:

### Skill Targets

• I can use a variable to represent an unknown quantity in an expression.
• I can solve multi-step problems involving properties of operations.

### Reasoning Targets

• I can translate a description into a mathematical expression.

## Resources

### Websites

#### MAT-06.EE.02.ab

Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions

MAT-06.EE.02.ab Write expressions that record operations with numbers and with letters standing for numbers.  Identify parts of an expression using mathematical terms; view one or more parts of an expression as a single entity.

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## Proficiency Scale:

Rubric - Resources

#### MAT-06.EE.02.b

 6th Grade MAT Targeted StandardsDomain (EE) Expressions and EquationsCluster: Apply and extend previous understandings of arithmetic to algebraic expressions Write, read, and evaluate expressions in which letters stand for numbers. MAT-06.EE.02.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.

## Student Learning Targets:

### Knowledge Targets

• I can identify parts of an expression using mathematical terms.
• I can identify parts of an expression as single quantities.

## Resources

### Websites

#### MAT-06.EE.02.c

 6th Grade MAT Targeted StandardsDomain (EE) Expressions and EquationsCluster: Apply and extend previous understandings of arithmetic to algebraic expressions Write, read, and evaluate expressions in which letters stand for numbers. MAT-06.EE.02.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 =1/2.

## Student Learning Targets

### Reasoning Targets

• I can use Order of Operations to simplify expressions that may include exponents.

### Skills Domain (Performance) Targets

• I can simplify expressions when a value is given for a variable.
• I can solve multistep expressions involving properties of operations.

## Resources

### Websites

#### MAT-06.EE.03

Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions

MAT-06.EE.03 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.

## Student Learning Targets:

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### Product Targets

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Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

***MAT-8.5.3 Apply the order of operations and the commutative, associative, and distributive properties to simplify algebraic expressions

***MAT-9-10.5.8  Manipulate algebraic expressions and equations using properties of real numbers, e.g., simplify, factor.

• *** Indicates strong content alignment from Common Core Standards to North Dakota Content Standards
• ** Indicates partial content alignment from Common Core Standards to North Dakota Content Standards
• * Indicates weak content alignment from Common Core Standards to North Dakota Content Standards

#### MAT-06.EE.04

Domain (EE) Expressions and Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions

MAT-06.EE.04 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.

## Student Learning Targets:

• I can
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### Product Targets

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Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

*MAT-8.5.3 Apply the order of operations and the commutative, associative, and distributive properties to simplify algebraic expressions

• *** Indicates strong content alignment from Common Core Standards to North Dakota Content Standards
• ** Indicates partial content alignment from Common Core Standards to North Dakota Content Standards
• * Indicates weak content alignment from Common Core Standards to North Dakota Content Standards

#### MAT-06.EE.05

Domain (EE) Expressions and Equations
Cluster: Reason about and solve one-variable equations and inequalities

MAT-06.EE.05 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.

## Student Learning Targets:

• I can
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### Product Targets

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Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-5.5.5 Use equations to solve problems; e.g., 28/x=7

**MAT-7.5.4. Use inverse operations and properties of equality to solve one-step equations and inequalities in one variable

• *** Indicates strong content alignment from Common Core Standards to North Dakota Content Standards
• ** Indicates partial content alignment from Common Core Standards to North Dakota Content Standards
• * Indicates weak content alignment from Common Core Standards to North Dakota Content Standards

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