 # Proportionality - Proportional Relationships

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(4)  Proportionality. The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations. The student is expected to:

(A)  compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships;

(B)  apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates;

(C)  give examples of ratios as multiplicative comparisons of two quantities describing the same attribute;

(D)  give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients;

(E)  represent ratios and percents with concrete models, fractions, and decimals;

(F)  represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers;

(G)  generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money; and

(H)  convert units within a measurement system, including the use of proportions and unit rates.