Unit 11 Probability and Sampling
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
I can describe the likelihood of events using the words impossible, unlikely, equally likely as not, likely, or certain.
I can tell which event is more likely when the chances of different events are expressed as fractions, decimals, or percentages.
I can use the sample space to calculate the probability of an event when all outcomes are equally likely.
I can write out the sample space for a simple chance experiment.
Chance Experiments
Khan Academy Video
Intuitive Sense of Probabilities
Khan Academy Practice
Digital Manipulative
What Are Probabilities?
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Estimating Probabilities From Illustrative Mathematics
Addressing:
NC.7.SP.5
NC.7.SP.6
NC.7.SP.7
NC.7.RP.2
Building On:
NC.7.NS.2
NC.5.NBT.3
I can explain whether certain results from repeated experiments would be surprising or not.
I can estimate the probability of an event based on the results from repeating an experiment.
I can explain why results from repeating an experiment may not exactly match the expected probability for an event.
I can calculate the probability of an event when the outcomes in the sample space are not equally likely.
Estimating Probabilities Through Repeated Experiments
Khan Academy Videos
Theoretical to Experimental Probabilities
Construct Probability Model with Observation
Khan Academy Practice
Making Predictions with Probability
Digital Manipulative
More Estimating Probabilities
Khan Academy Videos
Khan Academy Practice
Digital Manipulative
Video Lesson Summary: Estimating Probabilities From Illustrative Mathematics
I can explain why results from repeating an experiment may not exactly match the expected probability for an event.
I can calculate the probability of an event when the outcomes in the sample space are not equally likely.
I can simulate a real-world situation using a simple experiment that reflects the probability of the actual event.
More Estimating Probabilities
Khan Academy Videos
Khan Academy Practice
Digital Manipulative
Estimating Probabilities Using Simulations
Khan Academy Video
Online Manipulatives
Coin Toss Simulators
Option 1 - Shodor
Video Lesson Summary: Estimating Probabilities From Illustrative Mathematics
Video Lesson Summary: Multi-Step Experiments From Illustrative Mathematics
I can use a simulation to estimate the probability of a multi-step event.
I can write out the sample space for a multi-step experiment, using a list, table, or tree diagram.
Simulating Multi-step Experiments
Digital Manipulative
Online Manipulatives
Coin Toss Simulators
Option 1 - Shodor
Keeping Track of All Possible Outcomes
Khan Academy Videos
Counting Pot & Flower Scenarios
Khan Academy Practice
Sample Spaces for Compound Events
Video Lesson Summary: Multi-Step Experiments From Illustrative Mathematics
Addressing:
NC.7.SP.8
Building On:
NC.5.OA.2
NC.6.EE.2
I can write out the sample space for a multi-step experiment, using a list, table, or tree diagram.
I can use the sample space to calculate the probability of an event in a multi-step experiment.
Keeping Track of All Possible Outcomes
Khan Academy Videos
Counting Pot & Flower Scenarios
Khan Academy Practice
Sample Spaces for Compound Events
Multi-Step Experiments
Khan Academy Videos
Probability from Compound Sample Space
Khan Academy Practice
Probabilities of Compound Events
Video Lesson Summary: Multi-Step Experiments From Illustrative Mathematics
Addressing:
NC.7.SP.8
Building On:
NC.5.OA.2
NC.6.SP.5b
NC.6.EE.2
I can use the sample space to calculate the probability of an event in a multi-step experiment.
I can design a simulation to estimate the probability of a multi-step real-world situation.
Multi-Step Experiments
Khan Academy Videos
Probability from Compound Sample Space
Khan Academy Practice
Probabilities of Compound Events
Designing Simulations
YouTube Video
Make Predictions with Simulations for Experimental Probability
IXL Math
Probability of Compound Events
Video Lesson Summary: Multi-Step Experiments From Illustrative Mathematics
I know what the mean absolute deviation (MAD) measures and what information it provides.
I can find the MAD for a set of data
Khan Academy Videos
Mean Absolute Deviation Example
Khan Academy Practice
Video Lesson Summary: Variability and MAD From Illustrative Mathematics
I can use the mean and MAD to compare groups.
I can say what the MAD tells us in a given context.
Khan Academy Videos
Mean Absolute Deviation Example
Khan Academy Practice
Mean Absolute Deviation Practice
Video Lesson Summary: Variability and MAD From Illustrative Mathematics
I know what quartiles and interquartile range (IQR) measure and what they tell us about the data.
When given a list of data values or a dot plot, I can find the quartiles and interquartile range (IQR) for the data.
I can use IQR to describe the spread of data.
I can use a box plot to answer questions about a data set.
I can use medians and IQRs to compare groups.
Quartiles and Interquartile Range
Khan Academy Video
YouTube Video
BoxPlots with Similar Variability
IXL Math
Calculate Quartiles and Interquartile Range
Using Box Plots
Khan Academy Videos
Construct a Box and Whisker Plot
YouTube Video
BoxPlots with Similar Variability
Khan Academy Practice
I can calculate the difference between two means as a multiple of the mean absolute deviation.
When looking at a pair of dot plots, I can determine whether the distributions are very different or have a lot of overlap.
I can explain why it may be useful to gather data on a sample of a population.
When I read or hear a statistical question, I can name the population of interest and give an example of a sample for that population.
Comparing Groups
Khan Academy Video
Khan Academy Practice
Larger Populations
Khan Academy Video
Identifying a Sample and Population
Video Lesson Summary: Sampling From Illustrative Mathematics
11
Addressing:
NC.7.SP.1
NC.7.SP.2
NC.7.SP.4
Building On:
NC.5.NBT.1
I can explain why it may be useful to gather data on a sample of a population.
When I read or hear a statistical question, I can name the population of interest and give an example of a sample for that population.
I remember that when a distribution is not symmetric, the median is a better estimate of a typical value than the mean.
I can determine whether a sample is representative of a population by considering the shape, center, and spread of each of them.
I know that some samples may represent the population better than others.
Larger Populations
Khan Academy Video
Identifying a Sample and Population
What Makes a Good Sample?
Khan Academy Videos
Identifying a Sample and Population
Khan Academy Practice
Video Lesson Summary: Sampling From Illustrative Mathematics
12
I know that selecting a sample at random is usually a good way to get a representative sample.
I can describe ways to get a random sample from a population.
13
Addressing:
NC.7.SP.1
NC.7.SP.2
NC.7.SP.4
NC.7.NS.2
NC.7.RP.2
Building Toward:
NC.7.SP.1
NC.7.SP.2
NC.7.SP.4
Building On:
NC.6.SP.5
I can explain why it may be useful to gather data on a sample of a population.
When I read or hear a statistical question, I can name the population of interest and give an example of a sample for that population.
I can estimate the proportion of population data that are in a certain category based on a sample.
Estimating Population Measures of Center
Khan Academy Videos
Identifying a Sample and Population
Khan Academy Practice
Estimating Population Proportions
YouTube Video
Khan Academy Practice
Making Inferences from Random Sample
Video Lesson Summary: Using Samples From Illustrative Mathematics
14
Addressing:
NC.7.SP.1
NC.7.SP.2
Building Toward:
NC.7.SP.2
Building On:
NC.6.SP.3
I know that as the sample size gets bigger, the sample mean is more likely to be close to the population mean.
I can use the means from many samples to judge how accurate an estimate for the population mean is.
15
Addressing:
NC.7.SP.3
NC.7.SP.4
Building Toward:
NC.7.SP.3
Building On:
NC.6.SP.5
I can determine whether there is a meaningful difference between two populations based on a sample from each population.
I can calculate the difference between two medians as a multiple of the interquartile range.
16
Addressing:
NC.7.SP.3
NC.7.SP.4
Building On:
NC.6.SP.4
I can decide what information I need to know to be able to compare two populations based on a sample from each.
I can decide whether mean and MAD or median and IQR would be more appropriate for describing the center and spread of a data set.
I can draw an appropriate graphical representation for a set of data.
I can explain what the mean and MAD or the median and IQR tell us in the context of a situation and use them to answer questions.
Comparing Populations with Friends
YouTube Videos
Use Multiple Samples to Compare Probabilities
Using Random Samples to Compare Populations
Illustrative Activity
Using Data to Solve Problems
Virtual Nerd
Khan Academy Video
YouTube Video
Khan Academy Practice
Video Lesson Summary: Using Samples From Illustrative Mathematics
17
Addressing:
NC.7.RP.2
NC.7.SP.1
NC.7.SP.2
NC.7.SP.4
NC.7.SP.7
Building On:
NC.6.SP.5
I can compare two groups by taking a random sample, calculating important measures, and determining whether the populations are meaningfully different.
YouTube Video