Standards Map

Mathematics > Grade 7 > Expressions and Equations
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Mathematics | Grade : 7

Domain - Expressions and Equations

Cluster - Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

[7.EE.B.4.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 an 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?

Resources:


  • Fluency
    Fluency in the grades 1–6 standards is the ability to carry out calculations and apply numerical algorithms quickly and accurately. Fluency in each grade involves a mixture of knowing some answers from memory (instant recall), knowing some answers from patterns (e.g., “adding 0 yields the same number”), and knowing some answers from the use of other strategies. The development of fluency follows a specific progression in these grades that begins with conceptual understanding and eventually requires students to “know from memory their math facts,” use various strategies to arrive at answers, and develop proficiency using the standard algorithm for each operation. (See standards 1.OA.B.3, 2.OA.B.2, 3.OA.B.5, 3.OA.C.7 and 3.NBT.A.2, 4.NBT.B.4, 5.NBT.B.5, 6.NS.B.2 and 6.NS.B.3.)
  • Rational number
    A number expressible in the form a∕b or – a∕b for some fraction a∕b. The rational numbers include the integers.
  • Ambassador Task: Salty Proportions

Predecessor Standards:

  • 6.EE.B.6
    Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
  • 6.EE.B.7
    Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

Successor Standards:

  • 8.EE.C.7.b
    Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
  • 8.EE.C.8
    Analyze and solve pairs of simultaneous linear equations.
  • AI.A-CED.A.1
    Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear, quadratic, and exponential functions with integer exponents.)*
  • MI.A-CED.A.1
    Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential functions with integer exponents.*

Same Level Standards:

  • 7.RP.A.2
    Recognize and represent proportional relationships between quantities.
  • 7.NS.A.3
    Solve real-world and mathematical problems involving the four operations with integers and other rational numbers.