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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

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Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set “B”) are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) .

Spanish translation of the “B” assessments are ©2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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6-8 Grade 7 Unit 8

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

Grade 6 •Grade 7 Grade 8

Unit

Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 •Unit 8 Unit 9

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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Unit 8

Student Learning Targets

Grade 7

Section AProbabilities of Single-Step Events

1

Mystery Bags

I can get an idea for the likelihood of an event by using results from previous experiments.

2

Chance Experiments

I can describe the likelihood of events using the words “impossible,” “unlikely,” “equally likely as not,” “likely,” and “certain.”
I can tell which event is more likely when the chances of different events are expressed as fractions, decimals, or percentages.

3

What Are Probabilities?

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.

4

Estimating Probabilities through Repeated Experiments

I can estimate the probability of an event based on the results from repeating an experiment.

Section BProbabilities of Multi-step Events

7

Simulating Multi-step Experiments

I can use a simulation to estimate the probability of a multi-step event.

8

Keeping Track of All Possible Outcomes

I can write out the sample space for a multi-step experiment, using a list, table, or tree diagram.

9

Multi-step Experiments

I can use the sample space to calculate the probability of an event in a multi-step experiment.

10

Designing Simulations

I can design a simulation to estimate the probability of a multi-step real-world situation.

Section CSampling

11

Comparing Groups

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.

12

Larger Populations

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.

13

What Makes a Good Sample?

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.
I remember that when a distribution is not symmetric, the median is a better estimate of a typical value than the mean.

14

Section DUsing Samples

Section ELet’s Put It to Work

Unit 8 Resources

Student Materials Student Materials in Spanish

I can explain whether certain results from repeated experiments would be surprising or not.

5

More Estimating Probabilities

I can calculate the probability of an event when the outcomes in the sample space are not equally likely.
I can explain why results from repeating an experiment may not exactly match the expected probability for an event.

6

Estimating Probabilities Using Simulation

I can simulate a real-world situation using a simple experiment that reflects the probability of the actual event.

Sampling in a Fair Way

I can describe ways to get a random sample from a population.
I know that selecting a sample at random is usually a good way to get a representative sample.

15

Estimating Population Measures of Center

I can consider the variability of a sample to get an idea for how accurate my estimate is.
I can estimate the mean or median of a population based on a sample of the population.

16

Estimating Population Proportions

I can estimate the proportion of population data that are in a certain category based on a sample.

17

More about Sampling Variability

I can use the means from many samples to judge how accurate an estimate for the population mean is.
I know that as the sample size gets bigger, the sample mean is more likely to be close to the population mean.

18

Comparing Populations Using Samples

I can calculate the difference between two medians as a multiple of the interquartile range.
I can determine whether there is a meaningful difference between two populations based on a sample from each population.

19

Comparing Populations with Friends

I can decide what information I need to know to be able to compare two populations based on a sample from each.

20

Memory Test

I can compare two groups by taking a random sample, calculating important measures, and determining whether the populations are meaningfully different.