Unit 8 Probability & Sampling
Lesson
Standards
Learning Targets
Additional Resources
Lesson 1:
I can get an idea for the likelihood of an event by using results from previous experiments.
Khan Academy Video
Online Manipulatives
Coin Toss Simulators
Option 1 - Shodor
Video Lesson Summary: G7U8V1 Estimating Probabilities From Illustrative Mathematics
Lesson 2:
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.
Khan Academy Video
Intuitive Sense of Probabilities
Khan Academy Practice
Digital Manipulative
Video Lesson Summary: G7U8V1 Estimating Probabilities From Illustrative Mathematics
Lesson 3:
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.
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: G7U8V1 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.
Khan Academy Videos
Theoretical to Experimental Probabilities
Construct Probability Model with Observation
Khan Academy Practice
Making Predictions with Probability
Digital Manipulative
Video Lesson Summary: G7U8V1 Estimating Probabilities From Illustrative Mathematics
Lesson 5:
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.
Khan Academy Videos
Khan Academy Practice
Digital Manipulative
Video Lesson Summary: G7U8V1 Estimating Probabilities From Illustrative Mathematics
I can simulate a real-world situation using a simple experiment that reflects the probability of the actual event.
Khan Academy Video
Online Manipulatives
Coin Toss Simulators
Option 1 - Shodor
Video Lesson Summary: G7U8V2 Multi-Step Experiments From Illustrative Mathematics
Lesson 7:
I can use a simulation to estimate the probability of a multi-step event.
Digital Manipulative
Online Manipulatives
Coin Toss Simulators
Option 1 - Shodor
Video Lesson Summary: G7U8V2 Multi-Step Experiments From Illustrative Mathematics
Lesson 8:
I can write out the sample space for a multi-step experiment, using a list, table, or tree diagram.
Lesson 9:
Addressing:
NC.7.SP.8
Building On:
NC.5.OA.2
NC.6.EE.2
I can use the sample space to calculate the probability of an event in a multi-step experiment.
Lesson 10:
Addressing:
NC.7.SP.8
Building On:
NC.5.OA.2
NC.6.SP.5b
I can design a simulation to estimate the probability of a multi-step real-world situation.
Lesson 11:
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: G6U8V4 Variability and MAD From Illustrative Mathematics
Lesson 12:
I can use the mean and MAD to compare groups.
I can say what the MAD tells us in a given context.
Lesson 13:
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.
Lesson 14:
I can use a box plot to answer questions about a data set.
I can use medians and IQRs to compare groups.
Khan Academy Videos
Construct a Box and Whisker Plot
YouTube Video
BoxPlots with Similar Variability
Khan Academy Practice
Lesson 15:
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.
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: G7U8V3 Sampling From Illustrative Mathematics
Lesson 16:
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.
Lesson 17:
Addressing:
NC.7.SP.1
NC.7.SP.2
Building On:
NC.5.NBT.1
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.
Lesson 18:
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.
Lesson 19:
Addressing:
NC.7.SP.1
NC.7.SP.2
NC.7.SP.4
Building Toward:
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.
Lesson 20:
Addressing:
NC.7.NS.2
NC.7.RP.2
NC.7.SP.1
NC.7.SP.2
NC.7.SP.4
Building Toward:
NC.7.SP.1
NC.7.SP.2
I can estimate the proportion of population data that are in a certain category based on a sample.
YouTube Video
Khan Academy Practice
Making Inferences from Random Sample
Video Lesson Summary: G7U8V4 Using Samples From Illustrative Mathematics
Lesson 21:
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.
Lesson 22:
Addressing:
NC.7.SP.3
NC.7.SP.4
Building Toward:
NC.7.SP.3
Building On:
NC.6.SP.5b
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.
Lesson 23:
I can decide what information I need to know to be able to compare two populations based on a sample from each.
Lesson 24:
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.
Virtual Nerd
Khan Academy Video
YouTube Video
Khan Academy Practice
Lesson 25:
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