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.3] - 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.

Resources:


  • Computation strategy
    Purposeful manipulations that may be chosen for specific problems, may not have a fixed order, and may be aimed at converting one problem into another.
  • Decimal number
    Any real number expressed in base ten notation, such as 2.673.
  • Fraction
    A number expressible in the form a/b where a is a whole number and b is a positive whole number. (The word fraction in these standards always refers to a nonnegative number.)
  • Properties of operations
  • Rational number
    A number expressible in the form a∕b or – a∕b for some fraction a∕b. The rational numbers include the integers.
  • Whole numbers
    The numbers 0, 1, 2, 3,...
  • Ambassador Task: Uber Ride

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

  • 8.EE.A.4
    Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
  • 8.PS.2.1
    Develop a model that demonstrates Newton’s third law involving the motion of two colliding objects. State Assessment Boundary: State assessment will be limited to vertical or horizontal interactions in one dimension.
  • 8.PS.2.2
    Provide evidence that the change in an object’s speed depends on the sum of the forces on the object (the net force) and the mass of the object. Clarification Statement: Emphasis is on balanced (Newton’s first law) and unbalanced forces in a system, qualitative comparisons of forces, mass, and changes in speed (Newton’s second law) in one dimension. State Assessment Boundaries: State assessment will be limited to forces and changes in motion in one dimension in an inertial reference frame and to change in one variable at a time. The use of trigonometry is not expected in state assessment.
  • HS.ETS.3.3
    Explain the importance of considering both live loads and dead loads when constructing structures. Calculate the resultant force(s) for a combination of live loads and dead loads for various situations. Clarification Statements: Examples of structures can include buildings, decks, and bridges. Examples of loads and forces include live load, dead load, total load, tension, sheer, compression, and torsion.

Same Level Standards:

  • 7.NS.A.3
    Solve real-world and mathematical problems involving the four operations with integers and other rational numbers.