7.PAR.4

Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.

7.PAR.4.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units presented in realistic problems.7.PAR.4.10Predict characteristics of a population by examining the characteristics of a representative sample. Recognize the potential limitations and scope of the sample to the population.7.PAR.4.11Analyze sampling methods and conclude that random sampling produces and supports valid inferences.7.PAR.4.12Use data from repeated random samples to evaluate how much a sample mean is expected to vary from a population mean. Simulate multiple samples of the same size.7.PAR.4.2Determine the unit rate (constant of proportionality) in tables, graphs (1, r), equations, diagrams, and verbal descriptions of proportional relationships to solve realistic problems.7.PAR.4.3Determine whether two quantities presented in authentic problems are in a proportional relationship.7.PAR.4.4Identify, represent, and use proportional relationships.7.PAR.4.5Use context to 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.7.PAR.4.6Solve everyday problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.7.PAR.4.7Use 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.7.PAR.4.8Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.7.PAR.4.9Use proportional relationships to solve multi-step ratio and percent problems presented in applicable situations.
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