Standards Map

Mathematics > Grade 7 > Ratios and Proportional Relationships

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Mathematics | Grade : 7

Domain - Ratios and Proportional Relationships

Cluster - Analyze proportional relationships and use them to solve real-world and mathematical problems.

[7.RP.A.2.a] - Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.


Resources:


  • Coordinate plane
    A plane in which a point is represented using two coordinates that determine the precise location of the point. In the Cartesian plane, two perpendicular number lines are used to determine the locations of points. In the polar coordinate plane, points are determined by their distance along a ray through that point and the origin, and the angle that ray makes with a pre- determined horizontal axis.
  • Proportion
    An equation that states that two ratios are equivalent, e.g., 4/8 = ½ or 4 : 8 = 1 : 2.
  • Ratio
    A relationship between quantities such that for every a units of one quantity there are b units of the other. A ratio is often denoted by a:b and read “a to b”.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

  • GEO.G-SRT.C.6
    Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
  • GEO.G-C.B.5
    Derive, using similarity, the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
  • MII.G-SRT.C.6
    Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
  • MII.G-C.B.5
    Derive, using similarity, the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

Same Level Standards:

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  • 7.ETS.1.4
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