MAT-07.EE
 Domain (EE)
Expressions and Equations
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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. |
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MAT-07.EE.01
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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.
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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
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MAT-07.EE.02
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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.”
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Student Learning Targets:
Knowledge Targets
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I can identify the commutative property
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I can identify the associative property
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I can identify the distributive property
Reasoning Targets
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| Rubric - Resources |
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MAT-07.EE.03
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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.
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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.
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MAT-07.EE.04
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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.
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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
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MAT-07.EE.04.a
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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?
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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
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MAT-07.EE.04.b
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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.
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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
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