Tuesday, May 30, 2023, 10:30 AM
Site: Learnbps
Course: BPSS (MAT) Mathematics Standards (S-MAT)
Glossary: Sixth Grade Math
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#### 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:

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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 StandardsDomain (EE) Expressions and EquationsCluster: 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

#### 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:

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### Product Targets

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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 StandardsDomain (EE) Expressions and EquationsCluster: 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

# 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 StandardsDomain (G) GeometryCluster: 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

#### 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:

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### Product Targets

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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

#### MAT-06.G.03

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

MAT-06.G.03 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

## Student Learning Targets:

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### Product Targets

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Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

*MAT-8.2.5 Represent shapes using coordinate geometry

*MAT-9-10.2.5 Use Cartesians coordinates to determine distance, midpoint, and slope.

*MAT-9-10.2.6 Use distance, midpoint, and slope to determine relationships between points, lines, and plane figures in the Cartesian coordinate system; e.g., determine whether a triangle is scalene, isosceles, or equilateral given the coordinates of its vertices.

• *** 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.G.04

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

MAT-06.G.04 Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

## Student Learning Targets:

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### Product Targets

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Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-6.4.7 Use area formulas to determine the surface area of right prisms and square pyramids

**MAT-7.2.6. Build and sketch three-dimensional solids; e.g., using nets, manipulatives

**MAT-8.2.1 Use nets to represent the relationships between two- and three-dimensional figures

• *** 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

# The Number System

## Narrative for the (NS) The Number System

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.