represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt

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represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt

calculate unit rates from rates in mathematical and real-world problems

determine the constant of proportionality (k = y/x) within mathematical and real-world problems

solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems

convert between measurement systems, including the use of proportions and the use of unit rates

generalize the critical attributes of similarity, including ratios within and between similar shapes

describe π as the ratio of the circumference of a circle to its diameter

solve mathematical and real-world problems involving similar shape and scale drawings

represent sample spaces for simple and compound events using lists and tree diagrams

select and use different simulations to represent simple and compound events with and without technology

make predictions and determine solutions using experimental data for simple and compound events

make predictions and determine solutions using theoretical probability for simple and compound events

find the probabilities of a simple event and its complement and describe the relationship between the two

use data from a random sample to make inferences about a population

solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents

solve problems using qualitative and quantitative predictions and comparisons from simple experiments

determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces