Printer-friendly version

All categories

Page: (Previous)   1  2  3  4  5  6  7  8  (Next)
  ALL

(EE) EXPRESSIONS AND EQUATIONS

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
  • I can

Product Targets

  • I can
  • I can
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
  • I can

Reasoning Targets

  • I can
  • I can

Skills Domain (Performance) Targets

  • I can
  • I can

Product Targets

  • I can
  • I can
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
  • I can

Reasoning Targets

  • I can
  • I can

Skills Domain (Performance) Targets

  • I can
  • I can

Product Targets

  • I can
  • I can
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

  • I can
  • I can

Skills Domain (Performance) Targets

  • I can
  • I can

Product Targets

  • I can
  • I can
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
  • I can
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

(G) GEOMETRY

MAT-06.G

BPSS-MAT logoDomain (G)

Geometry

Narrative for the (G) Geometry

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.G.01

6th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Solve real-world and mathematical problems involving areas, surface area, and volume

MAT-06.G.01 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Student Learning Targets:

Reasoning Targets

  • I can relate the area of triangles to the area of rectangles.

Skills Domain (Performance) Targets

  • I can visually and physically decompose and compose polygons into rectangles and triangles to determine area.
  • I can solve multi-step problems that involve finding the area of composite figures.

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

PDF document MAT-06_G_01 Proficiency Scale.pdf
Word 2007 document 6.G.1 proficiency scale 2014.docx

MAT-06.G.02

6th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Solve real-world and mathematical problems involving area, surface area, and volume.

MAT-06.G.02 Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

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
Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-5.4.7. Use formulas to calculate the volume of rectangular prisms

**MAT-6.4.8 Use formulas to determine the volume of rectangular prisms

  • *** 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

Page: (Previous)   1  2  3  4  5  6  7  8  (Next)
  ALL