MathematicsExpressions and Equations

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Unit Information

Content Map: Expressions and Equations Content Map

Checklist: Expressions and Equations Checklist

Unit 2: Examples and Explanations of Standards

 

Prerequisites: As identified by the CCGPS Frameworks

  • number sense

  • computation with whole numbers and decimals, including application of order of operations

  • addition and subtraction of common fractions with like denominators

  • the opposite of an opposite is the number itself

  • computation with all positive and negative rational numbers

  • data usage and representations

Unit Length: 22 Days

Resources by Concept: (click on a concept)

  • Concept 1: Properties to Evaluate Expressions

  • Concept 2: Writing Variable Expressions

  • Concept 3: Equations & Word Problems

  • Concept 4: Inequalities & Word Problems

  • Concept 5: Graphing inequalities (in 1 variable only)

  • Concept 1: Properties to Evaluate Expressions  [CC.7.EE.1(1) and (2)]
    TCV.7.EE.1 (1) Apply properties of operations to add and subtract linear expressions with rational coefficients.
    TCV.7.EE.1 (2) Apply the distributive property to factor and expand linear expression and rational coefficients.

    Essential Questions:
    •  How do I simplify expressions?
    •  What properties and conventions do I need to understand in order to simplify and evaluate algebraic expressions?

     

    Key Vocabulary: Note per DOE - Vocabulary is not to be memorized by students

    Algebraic expression            
    term                 
    numerical expression         Coefficient                                                                          
     Associative property         
    constant
    Commutative property        
    variable
    Distributive property
    Resources:
    • CC.7.EE.1(1)
      • Glencoe CCSS Course 2 p. 367-374
      • Glencoe CCSS Course 2 p. 395-410
      • 7th Grade Station Activity p. 95
      • CCGPS Framework: Area & Algebra
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Concept 2 : Writing Variable Expressions  [CC.7.EE.2]
CC.7.EE.2 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 + 0.05 a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”

Essential Questions:
  • What strategies can I use to help me understand and represent real situations using algebraic expressions and equations?
  •  How can we represent values using variables?

 

Key Vocabulary: Note per DOE - Vocabulary is not to be memorized by students
Resources:
  • CC.7.EE.2
    • Glencoe CCSS Course 2 p. 387-394
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Concept 3:  Equations & Word Problems  [CC.7.EE3(1,2,3) ;  CC.7.EE.4a(1,2) 
TCV.7.EE.3 (1) Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form.
TCV.7.EE.3 (2) Convert between forms of rational numbers as appropriate when solving multi-step equations.
TCV.7.EE.3 (3) Assess the reasonableness of answers to problems with positive and negative numbers using mental computation and estimation strategies.
TCV.7.EE.4a (1) Solve equations of the form px + q = r and p(x + q) = r fluently, where p, q, and r are specific rational numbers.
TCV.7.EE.4a (2) Solve word problems of the form px + q = r and p(x + q) = r fluently, where p, q, and r are specific rational numbers

Essential Questions:
  • How is an equation like a balance? How can the idea of balance help me solve an equation?
  • What is the difference in an expression and an equation?
  • How can we use variables to solve equations?
Key Vocabulary:
equation
Resources:
  • CC.7.EE.3(1):
  • Glencoe CCSS Course 2 p. 489-491
  • 7th Grade CCGPS Frameworks: Algebra Magic   Student  |  Teacher
  • 7th Grade CCGPS Frameworks: The Drop   Student Teacher
  • 7 Algebraic Thinking page 371
  • CC.7.EE.3(2):
  • Glencoe CCSS Course 2 p. 225-227
  • Glencoe CCSS Course 2 p. 307-309
  • 7 Station Activity Book pages 98-104
  • CCGPS Frameworks:  Calendar Equations    Student Teacher
  • 7th Grade CCGPS Frameworks: The Drop   Student Teacher
  • CC.7.EE.3(3):
  • 7th Grade CCGPS Frameworks: Algebra Magic   Student  |  Teacher
  • CC.7.EE.4a(1)
  • Glencoe CCSS Course 2 p. 429-496
  • 7 Station Activity p. 98-103
  • CC.7.EE.4a(2)
    • Glencoe CCSS Course 2 p. 429-496
    • 8th Station Activity p. 103-111

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Concept 4: Inequalities & Word Problems   [CC.7.EE.4b(1)]
TCV.7.EE.4b (1) 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.

Essential Questions:
  •  How can I tell the difference between an expression, equation and an inequality?
  • How do I solve inequalities?
Key Vocabulary: Note per DOE - Vocabulary is not to be memorized by students
inequalities
Resources:
  • CC.7.EE.4b(1)
    • Glencoe CCSS Course 2 p. 497-528
    • 8th Station Activity p. 103-111
    • CCGPS Frameworks Inequality Statements        Student Teacher
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Concept 5:  Graphing Inequalities in 1 Variable [CC.7.EE.4b(2)]
TCV.7.EE.4b (2) Graph the solution set of the inequality and interpret it in the context of the problem it solves.

Essential Questions:
  • 1.. How do I graph inequalities?
Key Vocabulary: Note per DOE - Vocabulary is not to be memorized by students
 
Resources:
  • CC.7.EE.4b(2)
    • Glencoe CCSS Course 2 p. 497-528
    • 8th Grade Station Activity Book pages 103-111
Back to Concepts  |  Back to Top

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