Seventh Grade Math


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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.02

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

MAT-07.EE.02 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”

Student Learning Targets:

Knowledge Targets

  • I can identify the commutative property

  • I can identify the associative property

  • I can identify the distributive property

Reasoning Targets

  • I can use properties to simplify and evaluate expressions.

  • I can manipulate expressions to make equivalent expressions while problem solving.

     

Rubric - Resources

MAT-07.EE.03

7th Grade MAT Targeted Standards
Domain (EE) Expressions and Equations
Cluster: Use properties of operations to generate equivalent expressions

MAT-07.EE.03 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

Student Learning Targets:

Knowledge Targets

  • I can recognize a reasonable estimate
  • I can explain the steps in order to find estimated results

Reasoning Targets

  • I can estimate using fractions, decimals, percents, and integers

Skills Domain (Performance) Targets

  • I can convert between decimals, fractions, and percents.
  • I can apply properties of operations to calculate with numbers
  • I can convert a word problem into a mathematical sentence

Proficiency Scale

Link to Proficiency Scale PDF

Resources

Websites:

This standard is addressed in all sections of the book.

 


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.EE.04.b

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.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.

For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Student Learning Targets:

Knowledge Targets

  • I can name the inequality signs.

Reasoning Targets

  • I can write a simple algebraic inequality in the form px+q=r where (p, q, and r) are specific numbers to represent a real-world problem.
  • I can interpret the solution set in relation to the problem.

Skills Domain (Performance) Targets

  • I can use inverse operations and the properties of inequality to solve word problems leading to inequalities of the form px + q > r where p, q, and r are specific numbers.

Resources

Websites

  • www.khanacademy.org
    • Try searching solving inequalities, graphing inequalities
  • www.bigideasmath.com
    • This concept is found in Chapter 2

Vocabulary

  • Inequality

 


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.02

7th Grade MAT Targeted Standards
Domain (G) Geometry
Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them.

MAT-07.G.02 Draw (freehand, with ruler and protractor, and with technology) geometric shapes from given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Student Learning Targets:

  • I can determine when three specific measurements will result in one unique triangle, more than one possible triangle or no possible triangle.
  •  I can draw a geometric shape with specific conditions.
  • I can construct a triangle when given three measurements (3 sides lengths, 3 angles, or combinations of side and angle measurements
Rubric - Resources


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