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(EE) Expressions and Equations

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MAT-06.EE

BPSS-MAT logoDomain (EE)

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

6th Grade MAT Targeted Standards
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:

Knowledge Targets

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Reasoning Targets

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Skills Domain (Performance) Targets

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Product Targets

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Rubric - Resources

MAT-06.EE.02

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: 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

PDF document MAT-06_EE_02a Proficiency Scale.pdf
PDF document MAT-06_EE_02b Proficiency Scale.pdf
PDF document MAT-06_EE_02c Proficiency Scale.pdf

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.

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

Word 2007 document 6 EE 2a proficiency scale 2014.docx
PDF document MAT-06_EE_02a Proficiency Scale.pdf

MAT-06.EE.02.ab

6th Grade MAT Targeted Standards
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.

Student Learning Targets:

Knowledge Targets

  • I can
  • I can

Reasoning Targets

  • I can
  • I can

Skills Domain (Performance) Targets

  • I can
  • I can

Product Targets

  • I can
  • I can

Proficiency Scale:

 
Rubric - Resources

MAT-06.EE.02.b

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.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.

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

Word 2007 document 6.EE.2b proficiency scale 2014.docx
PDF document MAT-06_EE_02b Proficiency Scale.pdf

MAT-06.EE.02.c

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.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.

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

PDF document MAT-06_EE_02c Proficiency Scale.pdf
Word 2007 document 6.EE.2c proficiency scale 2014.docx

MAT-06.EE.03

6th Grade MAT Targeted Standards
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:

Knowledge Targets

  • I can
  • I can

Reasoning Targets

  • I can
  • I can

Skills Domain (Performance) 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

***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

6th Grade MAT Targeted Standards
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:

Knowledge Targets

  • I can
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Reasoning Targets

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Skills Domain (Performance) Targets

  • I can
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Product Targets

  • I can
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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

6th Grade MAT Targeted Standards
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:

Knowledge Targets

  • I can
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Reasoning Targets

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Skills Domain (Performance) Targets

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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

MAT-06.EE.06

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Reason about and solve one-variable equations and inequalities

MAT-06.EE.06 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.

Student Learning Targets:

Knowledge Targets

  • I can
  • I can

Reasoning Targets

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Skills Domain (Performance) Targets

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Product Targets

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Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-4.5.2 Explain that variables represent unknowns

**MAT-4.5.3 Solve problems with variables

**MAT-5.5.4 Identify a variable in an expression

**MAT-6.5.2 Use a variable to represent an unknown quantity

**MAT-7.5.2 Create algebraic expressions and equations to represent word phrases and sentences

**MAT-8.5.2 Use variables, expressions and equations to represent problem situations

**MAT-7.5.5. Write one-step equations and inequalities to represent problem situations

  • *** 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.07

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Reason about and solve one-variable equations and inequalities

MAT-06.EE.07 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

Student Learning Targets:

Skills Domain (Performance) Targets

  • I can use inverse operations and properties of inequality to solve one-step equations using non-negative rational numbers.
  • I can write and solve equations to represent real world problems.

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

PDF document MAT-06_EE_07 Proficiency Scale.pdf
Word 2007 document 6.EE.7 proficiency scale 2014.docx

MAT-06.EE.08

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Reason about and solve one-variable equations and inequalities

MAT-06.EE.08 Write a statement of inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

Student Learning Targets:

Knowledge Targets

  • I can
  • I can

Reasoning Targets

  • I can
  • I can

Skills Domain (Performance) Targets

  • I can
  • I can

Product Targets

  • I can
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Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-7.5.5. Write one-step equations and inequalities to represent problem situations

**MAT-9-10.5.12 Graphically represent the solution or solutions to an equation, inequality, or system.

  • *** 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.09

6th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Represent and analyze quantitative relationships between dependent and indepenent variables

MAT-06.EE.09 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

Student Learning Targets:

Knowledge Targets

  • I can recognize that a change in the independent variable (x) creates a change in the dependent variable (y).
  • I can recognize which relationships between independent (x) and dependent (y) variables are linear.

Reasoning Targets

  • I can evaluate the function (equation) for the values (input) given.
  • I can compare relationships between the independent (x) and dependent (y) using a graph (plotting ordered pairs).

Product Targets

  • I can represent a real-world problem with function rules (equations), input/output tables, and graphs.

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

PDF document MAT-06_EE_09 Proficiency Scale.pdf
Word 2007 document 6.EE.9 proficiency scale 2014.docx

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