Proportional Reasoning

Students will explain equivalent ratios by using a variety of models. For example, tables of values, tape diagrams, bar models, double number line diagrams, and equations.

Students will recognize and represent proportional relationships between quantities

Relate proportionality to fraction equivalence and division. For example, 3 6 is equal to 4 8 because both yield a quotient of and, in both cases, the denominator is double the value of the numerator (MGSE4.NF.1)

Understand real world rate/ratio/percent problems by finding the whole given a part and find a part given the whole(MGSE6.RP.1,2,3;MGSE7.RP.1,2)

Use proportional relationships to solve multistep ratio and percent problems(MGSE7.RP.2,3)

Students will graph proportional relationships

Interpret unit rates as slopes of graphs(MGSE8.EE.5)

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane(MGSE8.EE.6)

Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed (MGSE8.EE.5)