Prioritized Standards Categories All categories Not categorized Prioritized Standards (EE) Expressions and Equations (G) Geometry (NS) The Number System (RP) Ratios and Proportional Relationships (SP) Statistics and Probability

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# Expressions and Equations

## Narrative for the (EE) Expressions and Equations

The standards with the Expressions and Equations domain require students to (1) use properties of operations to generate equivalent expressions and (2) Solve real-world and mathematical problems using numerical and algebraic expressions and equations.

## 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-07.EE.01

 7th Grade MAT Targeted StandardsDomain (EE) Expressions and EquationsCluster: Use properties of operations to generate equivalent expressions MAT-07.EE.01 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

## Student Learning Targets:

### Skills Domain (Performance) Targets

• I can apply the properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
• I can use the distributive property
• I can combine like terms in an expression or equation
• I can simplify a polynomial expression
• I can multiply polynomials

## Resources

### Vocabulary

• Like Terms
• Distributive Property

#### MAT-07.EE.04

 7th Grade MAT Targeted StandardsDomain (EE) Expressions and EquationsCluster: Use properties of operations to generate equivalent expressions MAT-07.EE.04 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.

## Student Learning Targets:

### Knowledge Targets

• I can identify a variable.
• I understand the meaning of expression and equation.

### Reasoning Targets

• I can write equations to represent real-world problems.
• I can write inequalities to represent real-world problems.

### Skills Domain (Performance) Targets

• I can solve equations.
• I can solve inequalities.

## Resources

### Vocabulary

• equation
• inequality

#### MAT-07.EE.04.a

 7th Grade MAT Targeted StandardsDomain (EE) Expressions and EquationsCluster: Use properties of operations to generate equivalent expressions Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. MAT-07.EE.04.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

## Student Learning Targets:

### Knowledge Targets

• I can use a variable to represent an unknown quantity

### Reasoning Targets

• I can compare the algebraic solution to an arithmetic solution

### Skills Domain (Performance) Targets

• I can write a simple algebraic equation of the form px + q = r where p, q, and r are specific numbers to represent a real-world problem.
• I can use inverse operations and the properties of equality to solve word problems leading to equations of the form px + q = r, where p, q, and r are specific numbers
• I can use inverse operations and the properties of equality to solve word problems leading to equations of the form p(x + q) = r where p, q, and r are specific numbers

## Resources

### Vocabulary

• Equation
• Inverse operations
• variable

# Geometry

## Narrative for the (G) Geometry

The standards within the Geometry domain require students to (1) draw, construct, and describe geometrical figures and describe the relationship between them and (2) solve real-world and mathematical problems involving angle measure, area, surface area, and volume.

## 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-07.G.01

Domain (G) Geometry
Cluster: Draw, construct and describe geometrical figures and describe the relationships between them

MAT-07.G.01 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

## Student Learning Targets:

### Skills Domain (Performance) Targets

• I can use scale drawing to determine the actual dimensions and area of geometric figure

### Product Targets

• I can use a different scale to reproduce a similar scale drawing

Proficiency Scale

## Web Resources

#### MAT-07.G.04

Domain (G) Geometry
Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

MAT-07.G.04 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

## Proficiency Scale

This standard is taught and evaluated in conjunction with 7.G.6.

## Resources

### Vocabulary

• circle
• circumference
• diameter
• pi

#### MAT-07.G.06

 7th Grade MAT Targeted StandardsDomain (G) GeometryCluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume MAT-07.G.06 Solve real-world and mathematical problems involving area of two-dimensional figures composed of polygons and/or circles including composite figures   Solve real-world and mathematical problems involving surface area of prisms and cylinders, including composite solids.   Solve real-world and mathematical problems involving volume of right prisms, including composite solids.

## Student Learning Targets:

### Knowledge Targets

• I can identify the faces of a solid

### Skills Domain (Performance) Targets

• I can calculate the area of polygons and circles
• I can calculate the volume of right prisms
• I can calculate the surface area of right prisms
• I can calculate the surface area of cylinders

## Resources

### Vocabulary

• volume
• surface area
• prism
• cylinder
• regular polygon
• right prism
• composite solid

# The Number System

## Narrative for the (NS) The Number System

The standards within the Number System domain require students to apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

## 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-07.NS.01

 7th Grade MAT Targeted StandardsDomain (NS) The Number SystemCluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers MAT-07.NS.01 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. a. Describe situations in which opposite quantities combine to make 0. b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. d. Apply properties of operations as strategies to add and subtract rational numbers.

## Student Learning Targets:

### Knowledge Targets

• I can plot integers and rational numbers on a number line.

### Reasoning Targets

• I can represent addition and subtraction problems on a number line.

### Skills Domain (Performance) Targets

• I can add and subtract integers.
• I can add and subtract rational numbers.

## Resources

### Vocabulary

• integer
• rational number
• absolute value
• opposite

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