CCSS.Math.Con.HSF-LE.A.1a ( High School - Functions ): Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
CCSS.Math.Cont.3.G.A.1 ( Grade 3 ): Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
CCSS.Math.Cont.3.G.A.2 ( Grade 3 ): Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
CCSS.Math.Cont.6.RP.A.1 ( Grade 6 ): Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
CCSS.Math.Cont.6.RP.A.2 ( Grade 6 ): Understand the concept of a unit rate 𝘢/𝘣 associated with a ratio 𝘢:𝘣 with 𝘣 ≠ 0, and use rate language in the context of a ratio relationship.
CCSS.Math.Cont.6.RP.A.3b ( Grade 6 ): Solve unit rate problems including those involving unit pricing and constant speed.
CCSS.Math.Cont.7.RP.A.1 ( Grade 7 ): Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
CCSS.Math.Cont.7.RP.A.2a ( Grade 7 ): 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.
CCSS.Math.Cont.7.RP.A.2b ( Grade 7 ): Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
CCSS.Math.Cont.7.RP.A.2c ( Grade 7 ): Represent proportional relationships by equations.
CCSS.Math.Cont.7.RP.A.2d ( Grade 7 ): Explain what a point (𝘹, 𝘺) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, 𝘳) where 𝘳 is the unit rate.
CCSS.Math.Cont.7.RP.A.3 ( Grade 7 ): Use proportional relationships to solve multistep ratio and percent problems.
CCSS.Math.Cont.8.EE.B.5 ( Grade 8 ): Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.