Compute unit rates associated with ratios of fractions to solve real-world and mathematical problems.
Recognize and represent proportional relationships between quantities. a. Understand that a proportion is a relationship of equality between ratios.
Represent proportional relationships using tables and graphs. o Recognize whether ratios are in a proportional relationship using tables and graphs.
Compare two different proportional relationships using tables, graphs, equations, and verbal descriptions.
.Identify the unit rate (constant of proportionality) within two quantities in a proportional relationship using tables, graphs, equations, and verbal descriptions.
Create equations and graphs to represent proportional relationships.
Use a graphical representation of a proportional relationship in context to:
Explain the meaning of any point (x, y).
Explain the meaning of (0, 0) and why it is included. o Understand that the y-coordinate of the ordered pair (1, r) corresponds to the unit rate and explain its meaning.
Solve problems involving scale drawings of geometric figures by:
• Building an understanding that angle measures remain the same and side lengths are proportional.
• Using a scale factor to compute actual lengths and areas from a scale drawing. • Creating a scale drawing.
Understand that statistics can be used to gain information about a population by:
• Recognizing that generalizations about a population from a sample are valid only if the sample is representative of that population.
• Using random sampling to produce representative samples to support valid inferences
Generate multiple random samples (or simulated samples) of the same size to gauge the variation in estimates or predictions, and use this data to draw inferences about a population with an unknown characteristic of interest.
Recognize the role of variability when comparing two populations.
Calculate the measure of variability of a data set and understand that it describes how the values of the data set vary with a single number.
Understand the mean absolute deviation of a data set is a measure of variability that describes the average distance that points within a data set are from the mean of the data set.
Understand that the range describes the spread of the entire data set.
Understand that the interquartile range describes the spread of the middle 50% of the data.
Informally assess the difference between two data sets by examining the overlap and separation between the graphical representations of two data sets
Links for additional understandings:
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