M.4.3.5 Investigate chance M.4.4.5 Understand that processes. Develop an patterns of association can understanding of events as also be seen in bivariate certain, impossible, likely, or categorical data by unlikely to Understand displaying frequencies and that probability of a chance relative frequencies in a event is a number between 0 two-way Construct and and 1 that expresses the interpret a two-way table likelihood of the event summarizing data on two occurring. categorical variables collected from the same subjects. Use relative frequencies calculated for row or columns to describe possible association between two variables. M.4.3.6 Investigate chance M.4.4.6 Use random processes. Determine the sampling to draw inferences probability of basic events about a population. (e.g., in the results of Understand that statistics tossing a coin, rolling a die, can be used to gain or drawing cards from a information about a population by examining a deck of cards, chance of sample of the population. baby being born on a certain Understand that random day of week, etc.) and sampling tends to produce express the likelihood of an representative samples occurrence as a ratio, and support valid fraction, or percent. inferences. Use data from a random sample to draw inferences a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. M.4.4.7 Draw informal comparative inferences about two populations. Informally assess the degree of visual overlap of two numerical data distributions with similar variability, measuring the difference between the centers by expressing it as a multiple of a measure of variability. Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. M.5 Algebraic Thinking: Students will develop and apply concepts of basic algebra, patterns, relationships, expressions, equations, and functions to explore, analyze, and solve mathematical and real-life problems. M.5.1 M.5.2 M.5.3 M.5.4 Level 0.0-1.9 Grade Level 2.0-3.9 Grade Level 4.0-5.9 Grade Level 6.0-8.9
M.4.3.5 Investigate chance processes. Develop an understanding of events as certain, impossible, likely, or unlikely to Understand that probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. M.4.4.5 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for row or columns to describe possible association between two variables. M.4.3.6 Investigate chance processes. Determine the probability of basic events (e.g., in the results of tossing a coin, rolling a die, or drawing cards from a deck of cards, chance of baby being born on a certain day of week, etc.) and express the likelihood of an occurrence as a ratio, fraction, or percent. M.4.4.6 Use random sampling to draw inferences about a population. Understand that statistics can be used to gain information about a population by examining a sample of the population. Understand that random sampling tends to produce representative samples and support valid inferences. Use data from a random sample to draw inferences a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. M.4.4.7 Draw informal comparative inferences about two populations. Informally assess the degree of visual overlap of two numerical data distributions with similar variability, measuring the difference between the centers by expressing it as a multiple of a measure of variability. Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. M.5 Algebraic Thinking: Students will develop and apply concepts of basic algebra, patterns, relationships, expressions, equations, and functions to explore, analyze, and solve mathematical and real-life problems. M.5.1 Level 0.0-1.9 M.5.2 Grade Level 2.0-3.9 M.5.3 Grade Level 4.0-5.9 M.5.4 Grade Level 6.0-8.9
01%20GPS%20Overview.docx