Two besotted rulers must embrace proportional units in order to complete a bridge to unite their lands. It takes mathematical reasoning to deduce the problem, and solution, when engineers from Queentopia and Kingopolis try to build a bridge that meets in the middle of the river.
Overruled! addresses number and operations standards, the algebra standard, and the process standard, as established by the National Council of Teachers of Mathematics (NCTM).
Overruled!: Developing, analyzing, and explaining methods for solving problems involving proportions, such as scaling and finding equivalent ratios. Solving problems that arise in mathematics and in other contexts. Representing, analyzing, and generalizing a variety of patterns with tables, graphs, words, and symbolic rules.
|4.MD.1||Know relative sizes of measurement units within one system of units including km, m, cm….Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.|
|5.MD||Convert like measurement units within a given measurement system.|
|5.MD.1||Convert among different sized standard measurement units within a given measurement systems, and use these conversions in solving multi-step, real world problems.|
|6.RP||Understand ratio concepts and use ratio reasoning to solve problems.|
|6.RP.1||Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.|
|6.RP.2||Understand the concept of a unit rate a/b associated with the ratio a:b with b not equal to 0, and use rate language in the context of a ratio relationship.|
|2.MS.2||Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of unit chosen.|
|4.MD||Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.|
|7.G||Draw, construct, & describe geometrical figures & describe relationships between them.|
|7.G.1||Solve problems involving scale drawings of geometric figures, including computing actual lengths & areas from scale drawing & reproducing a scale drawing at a different scale.|