Growth: Grades 6+ Math - Data, Statistics, and Probability

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5: Data, Statistics, and Probability

5.1: Collect, Represent, and Analyze Data

5.1.1: Bivariate Data

5.1.1.1: [RIT 199 - 243] Describes data in a scatter plot, including the interpretation of outliers and clusters

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

5.1.1.2: [RIT 206 - 249] Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

5.1.1.3: [RIT 213 - 239] Constructs scatter plots of bivariate data

Correlation
Graphing Skills
Least-Squares Best Fit Lines
Trends in Scatter Plots

5.1.1.5: [RIT 220 - 238] Approximates the line of best fit on a scatter plot

Correlation
Least-Squares Best Fit Lines
Trends in Scatter Plots

5.1.1.6: [RIT 220 - 246] Determines whether two quantitative variables have a positive linear, negative linear, or zero association

Correlation
Graphing Skills
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

5.1.1.7: [RIT 221 - 221] Distinguishes between linear and nonlinear relationships in scatter plots

Correlation

5.1.1.8: [RIT 222 - 222] Understands the relationship between the value of the correlation coefficient and the strength and direction of a linear relationship

Correlation

5.1.1.9: [RIT 231 - 247] Determines a pair of quantitative variables that has either a positive, negative, or zero correlation

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

5.1.1.11: [RIT 234 - 267] Interprets the meaning of the slope or y-intercept of a line of best fit or regression line

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

5.1.1.12: [RIT 244 - 263] Analyzes linear trends in scatter plots to make predictions

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

5.1.1.14: [RIT 246 - 254] Estimates the slope of a line of best fit

Correlation
Least-Squares Best Fit Lines
Trends in Scatter Plots

5.1.1.15: [RIT 261 - 276] Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a scatter plot

Correlation

5.1.1.16: [RIT 261 - 261] Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a real-world context

Correlation

5.1.1.17: [RIT 262 - 262] Approximates the equation of the line of best fit

Correlation
Least-Squares Best Fit Lines
Trends in Scatter Plots

5.1.1.18: [RIT 271 - 271] Compares two sets of bivariate data to draw conclusions

Correlation
Graphing Skills

5.1.2: Data Analysis

5.1.2.3: [RIT 152 - 184] Compares categories in bar graphs with multi-unit scales to determine which is greater than or greatest

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)

5.1.2.5: [RIT 157 - 176] Compares categories in tables or charts to determine which is greater than or greatest

Mascot Election (Pictographs and Bar Graphs)

5.1.2.6: [RIT 158 - 176] Compares categories in pictographs with multi-unit scales to determine which is greater than or greatest

Mascot Election (Pictographs and Bar Graphs)

5.1.2.7: [RIT 163 - 215] Reads and interprets data from a circle graph

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

5.1.2.10: [RIT 167 - 167] Reads pictographs with single-unit scales to determine how many in a category

Mascot Election (Pictographs and Bar Graphs)

5.1.2.12: [RIT 169 - 192] Reads tables or charts to determine how many in a category

Mascot Election (Pictographs and Bar Graphs)

5.1.2.14: [RIT 171 - 201] Compares multiple categories in bar graphs with multi-unit scales to answer questions

Graphing Skills

5.1.2.15: [RIT 172 - 179] Compares categories in tables or charts to determine which is less than or least

Graphing Skills

5.1.2.16: [RIT 172 - 194] Reads bar graphs with multi-unit scales to determine how many in a category

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

5.1.2.18: [RIT 173 - 208] Compares multiple categories in tables or charts to answer questions

Mascot Election (Pictographs and Bar Graphs)

5.1.2.19: [RIT 175 - 200] Determines the question to ask in order to collect data for a given purpose

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Stem-and-Leaf Plots

5.1.2.21: [RIT 176 - 193] Compares categories in bar graphs with multi-unit scales to determine which is less than or least

Graphing Skills

5.1.2.22: [RIT 177 - 177] Compares multiple categories in pictographs with multi-unit scales to answer questions

Mascot Election (Pictographs and Bar Graphs)

5.1.2.26: [RIT 180 - 180] Reads line or dot plots with whole-number scales to determine how many in a category

Mascot Election (Pictographs and Bar Graphs)

5.1.2.27: [RIT 182 - 234] Reads and interprets data in a scaled line graph

Elevator Operator (Line Graphs)
Graphing Skills

5.1.2.29: [RIT 185 - 205] Reads pictographs with multi-unit scales to determine how many in a category

Mascot Election (Pictographs and Bar Graphs)

5.1.2.37: [RIT 196 - 212] Reads and interprets data from line or dot plots with whole-number scales

Mascot Election (Pictographs and Bar Graphs)

5.1.2.40: [RIT 198 - 221] Reads and interprets data from a scatter plot

Correlation
Graphing Skills
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

5.1.2.45: [RIT 204 - 204] Interprets data in a table or chart

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

5.1.2.47: [RIT 205 - 240] Identifies the median, quartiles, extreme values, and outliers from a box plot

Box-and-Whisker Plots

5.1.2.48: [RIT 209 - 227] Reads and interprets data from a histogram

Histograms

5.1.2.54: [RIT 222 - 248] Reads and interprets data from a stem-and-leaf plot

Stem-and-Leaf Plots

5.1.2.56: [RIT 228 - 228] Determines the range from a stem-and-leaf plot

Stem-and-Leaf Plots

5.1.2.57: [RIT 231 - 231] Determines the median from a stem-and-leaf plot

Stem-and-Leaf Plots

5.1.2.58: [RIT 233 - 233] Determines the mode from a stem-and-leaf plot

Stem-and-Leaf Plots

5.1.2.63: [RIT 243 - 243] Compares the means and medians of related data sets from random samples represented in histograms

Populations and Samples

5.1.3: Data Representation

5.1.3.2: [RIT 174 - 200] Represents data in tables or charts

Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.3.4: [RIT 189 - 189] Represents data in pictographs with single-unit scales

Mascot Election (Pictographs and Bar Graphs)

5.1.3.5: [RIT 192 - 211] Represents data in line or dot plots with whole-number scales

Histograms
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.3.6: [RIT 194 - 201] Represents data in pictographs with multi-unit scales

Mascot Election (Pictographs and Bar Graphs)

5.1.3.7: [RIT 196 - 224] Represents data in circle graphs

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

5.1.3.8: [RIT 197 - 197] Represents data in line graphs

Elevator Operator (Line Graphs)
Graphing Skills

5.1.3.9: [RIT 198 - 219] Identifies the data display that best represents a given set of data or scenario

Mascot Election (Pictographs and Bar Graphs)

5.1.3.10: [RIT 204 - 204] Represents data in picture graphs with multi-unit scales

Mascot Election (Pictographs and Bar Graphs)

5.1.3.13: [RIT 213 - 239] Constructs scatter plots of bivariate data

Correlation
Graphing Skills
Least-Squares Best Fit Lines
Trends in Scatter Plots

5.1.3.15: [RIT 225 - 227] Represents data in frequency tables

Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.3.16: [RIT 226 - 226] Represents data in stem-and-leaf plots

Stem-and-Leaf Plots

5.1.3.17: [RIT 228 - 254] Represents data in histograms

Histograms
Real-Time Histogram
Sight vs. Sound Reactions

5.1.4: Measures of Center and Spread (Variability)

5.1.4.1: [RIT 199 - 214] Interprets the mode in the context of a data set

Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.4.2: [RIT 202 - 216] Interprets the median in the context of a data set

Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.4.3: [RIT 204 - 226] Determines the median of a data set that is ordered

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)

5.1.4.4: [RIT 205 - 240] Identifies the median, quartiles, extreme values, and outliers from a box plot

Box-and-Whisker Plots

5.1.4.5: [RIT 209 - 222] Determines the mode of a data set

Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.4.6: [RIT 213 - 237] Determines the mean of a data set

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)

5.1.4.7: [RIT 215 - 215] Defines the mode

Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.4.8: [RIT 216 - 222] Describes how the median is calculated

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.4.9: [RIT 216 - 216] Describes how the mean is calculated

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)

5.1.4.10: [RIT 217 - 248] Determines the median of a data set that is not ordered

Mean, Median, and Mode
Reaction Time 2 (Graphs and Statistics)

5.1.4.11: [RIT 219 - 248] Determines the range of a data set

Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.4.12: [RIT 221 - 221] Defines the median

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.1.4.14: [RIT 228 - 228] Determines the range from a stem-and-leaf plot

Stem-and-Leaf Plots

5.1.4.15: [RIT 231 - 231] Determines the median from a stem-and-leaf plot

Stem-and-Leaf Plots

5.1.4.17: [RIT 233 - 233] Determines the mode from a stem-and-leaf plot

Stem-and-Leaf Plots

5.1.4.19: [RIT 238 - 243] Explains why the mean and median differ in a single data set

Mean, Median, and Mode

5.1.4.21: [RIT 243 - 243] Compares the means and medians of related data sets from random samples represented in histograms

Populations and Samples

5.2: Probability and Sample Spaces

5.2.2: Probability

5.2.2.1: [RIT 168 - 201] Identifies a simple event given the likelihood of the event as more likely, less likely, neither likely nor unlikely, impossible, or certain

Spin the Big Wheel! (Probability)

5.2.2.2: [RIT 185 - 213] Describes the likelihood of simple events occurring

Probability Simulations
Spin the Big Wheel! (Probability)

5.2.2.3: [RIT 193 - 225] Makes predictions based on theoretical probabilities of simple events

Probability Simulations
Spin the Big Wheel! (Probability)

5.2.2.4: [RIT 196 - 249] Determines theoretical probabilities of simple events

Geometric Probability
Lucky Duck (Expected Value)
Spin the Big Wheel! (Probability)

5.2.2.5: [RIT 208 - 236] Identifies the likelihood of a simple event as more likely, less likely, neither likely nor unlikely, impossible, or certain, given the probability of the event

Geometric Probability
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

5.2.2.7: [RIT 215 - 238] Determines the probability of the complement of an event

Probability Simulations
Theoretical and Experimental Probability

5.2.2.8: [RIT 215 - 247] Determines experimental probabilities of simple events

Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

5.2.2.10: [RIT 224 - 232] Describes the likelihood of compound events occurring

Independent and Dependent Events
Spin the Big Wheel! (Probability)

5.2.2.11: [RIT 224 - 224] Writes proportions to make predictions based on experimental probabilities

Estimating Population Size
Polling: Neighborhood

5.2.2.12: [RIT 224 - 224] Determines the odds of simple events

Probability Simulations

5.2.2.13: [RIT 229 - 245] Makes predictions based on experimental probabilities of simple events

Probability Simulations

5.2.2.14: [RIT 230 - 239] Understands independence as it relates to previous outcomes

Independent and Dependent Events

5.2.2.17: [RIT 238 - 269] Determines probabilities of compound independent events

Independent and Dependent Events

5.2.2.18: [RIT 239 - 242] Determines conditional probabilities of events without replacement

Independent and Dependent Events

5.2.2.19: [RIT 240 - 240] Modifies sample space to change the probability of an event

Independent and Dependent Events
Lucky Duck (Expected Value)

5.2.2.20: [RIT 245 - 266] Determines probabilities using geometric models

Geometric Probability

5.2.2.21: [RIT 246 - 246] Makes predictions based on probability distributions

Lucky Duck (Expected Value)

5.2.2.22: [RIT 253 - 278] Determines conditional probabilities of compound events using relative frequencies

Independent and Dependent Events

5.2.2.23: [RIT 257 - 257] Makes predictions based on theoretical probabilities of compound events

Independent and Dependent Events

5.2.2.24: [RIT 257 - 278] Determines probabilities using the general Multiplication Rule of probability

Independent and Dependent Events

5.2.2.25: [RIT 258 - 266] Determines probabilities of compound dependent events

Independent and Dependent Events

5.2.3: Sample Spaces

5.2.3.1: [RIT 193 - 219] Determines the sample space for a simple event using lists, tree diagrams, or charts

Probability Simulations
Theoretical and Experimental Probability

5.2.3.2: [RIT 196 - 227] Determines the sample space for two compound events using organized lists, tree diagrams, or charts

Independent and Dependent Events
Permutations and Combinations

5.2.3.4: [RIT 211 - 232] Determines the sample space for more than two compound events using organized lists, tree diagrams, or charts

Independent and Dependent Events
Permutations and Combinations

5.2.3.6: [RIT 243 - 272] Uses permutations and combinations to determine the number of possible outcomes

Permutations and Combinations

5.3: Population Sampling and Research Design

5.3.1: Populations/Random Processes

5.3.1.1: [RIT 187 - 217] Identifies a data collection method that best answers a question

Polling: City
Polling: Neighborhood

5.3.1.2: [RIT 202 - 210] Identifies random samples

Polling: City
Polling: Neighborhood

5.3.1.5: [RIT 217 - 250] Writes and solves proportions to make inferences about populations

Estimating Population Size
Polling: Neighborhood

5.3.1.6: [RIT 230 - 257] Identifies a sampling method that produces the most representative sample

Polling: City
Polling: Neighborhood

5.3.1.7: [RIT 231 - 232] Identifies an appropriate research design, including surveys, experiments and observational studies, to answer a question

Polling: City
Polling: Neighborhood

Content correlation last revised: 9/27/2021