Prioritized Standards

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MAT-07.EE

BPSS-MAT logoDomain (EE)

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 Standards
Domain (EE) Expressions and Equations
Cluster: 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

 

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

Vocabulary

  • Like Terms
  • Distributive Property

 


MAT-07.EE.04

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: 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.

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

Vocabulary

  • equation
  • inequality

 


MAT-07.EE.04.a

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: 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

 

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

 Vocabulary

  • Equation
  • Inverse operations
  • variable

 


MAT-07.G

BPSS-MAT logoDomain (G)

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

7th Grade MAT Targeted Standards
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

Link to the Proficiency Scale

Web Resources


MAT-07.G.04

7th Grade MAT Targeted Standards
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

Websites

Vocabulary

  • circle
  • circumference
  • radius
  • diameter
  • pi

MAT-07.G.06

7th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: 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

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites

Vocabulary

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

 


MAT-07.NS

BPSS-MAT logoDomain (NS)

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 Standards
Domain (NS) The Number System
Cluster: 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

Websites

Vocabulary

  • integer
  • rational number
  • absolute value
  • opposite

 



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