MAT-HS.S-IC.02
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(IC) Domain: Making Inferences and Justifying Conclusions
Cluster: Understand and evaluate random processes underlying statistical experiments
MAT-HS.S-IC.02 Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.
For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? |
Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
|
MAT-HS.S-IC.03
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(IC) Domain: Making Inferences and Justifying Conclusions
Cluster: Understand and evaluate random processes underlying statistical experiments
MAT-HS.S-IC.03 Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.
|
Student Learning Targets:
Knowledge Targets
- I can identify situations as sample survey, experiment, or observational study and discuss the appropriateness of each one’s use in contexts with limiting factors.
Reasoning Targets
Skills (Performance) Targets
- I can design or evaluate sample surveys, experiments and observational studies with randomization and discuss the importance of randomization in these processes.
Product Targets
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
|
MAT-HS.S-IC.04
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(IC) Domain: Making Inferences and Justifying Conclusions
Cluster: Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
MAT-HS.S-IC.04 Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.
|
Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
- I can sample means and sample proportions to estimate population values.
- I can conduct simulations of random sampling to gather sample means and sample proportions, explain what the results mean about variability in a population, and use results to calculate margins of error for these estimates.
Product Targets
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
|
MAT-HS.S-IC.05
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(IC) Domain: Making Inferences and Justifying Conclusions
Cluster: Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
MAT-HS.S-IC.05 Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
|
Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
- I can use simulations to generate data simulating application of two treatments and use results to evaluate significant differences.
- I can evaluate effectiveness and differences in two treatments based on data from randomized experiments and explain in context.
Product Targets
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
|
MAT-HS.S-IC.06
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(IC) Domain: Making Inferences and Justifying Conclusions
Cluster: Evaluate reports based on data.
MAT-HS.S-IC.06 Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
|
Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
- I can draw conclusions about a situation being modeled.
- I can evaluate reports based on data.
Product Targets
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
|
MAT-HS.S-ID.01
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(ID) Domain: Interpreting Categorical and Quantitative Data
Cluster: Summarize, represent, and interpret data on a single count or measurement variable
MAT-HS.S-ID.01 Represent data with plots on the real number line (dot plots, histograms, and box plots).
|
Student Learning Targets:
Knowledge Targets
- I can choose an appropriate display to represent a set of data.
Reasoning Targets
- I can analyze a set of data.
Skills (Performance) Targets
- I can collect an appropriate set of data.
Product Targets
- I can construct a graph to represent a set of data.
- I can construct dot plots, histograms and box plots on a real number line.
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
Web
|
|
Vocab
- dot plot
- histogram
- box plot
|
|
|
MAT-HS.S-ID.02
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(ID) Domain: Interpreting Categorical and Quantitative Data
Cluster: Summarize, represent, and interpret data on a single count or measurement variable
MAT-HS.S-ID.02 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
|
Student Learning Targets:
Knowledge Targets
- I can use the correct measure of center and spread to describe a distribution that is symmetric or skewed.
Reasoning Targets
- I can compare two or more different data sets using the center and spread of each.
Skills (Performance) Targets
- I can describe a distribution using center and spread.
Product Targets
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
Web
|
|
Vocab
- skewed distribution
- symmetric distribution
- interquartile range
- standard deviation
|
|
|
MAT-HS.S-ID.03
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(ID) Domain: Interpreting Categorical and Quantitative Data
Cluster: Summarize, represent, and interpret data on a single count or measurement variable
MAT-HS.S-ID.03 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
|
Student Learning Targets:
Knowledge Targets
- I can identify outliers (extreme data points) and their effects on data sets.
Reasoning Targets
Skills (Performance) Targets
- I can interpret differences in different data sets in context.
- I can interpret differences due to possible effects of outliers.
Product Targets
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
|
MAT-HS.S-ID.04
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(ID) Domain: Interpreting Categorical and Quantitative Data
Cluster: Summarize, represent, and interpret data on a single count or measurement variable
MAT-HS.S-ID.04 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
|
Student Learning Targets:
Knowledge Targets
- I can identify whether data sets are approximately normal.
Reasoning Targets
Skills (Performance) Targets
- I can use the mean and standard deviation to fit the data set to a normal distribution where appropriate.
- I can use calculators, spreadsheets, and tables to estimate areas under the normal curve.
- I can interpret areas under a normal curve in context
Product Targets
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
|
|
MAT-HS.S-ID.05
|
MAT-HS Targeted Standards
(S) Concept: Statistics and Probability
(ID) Domain: Interpreting Categorical and Quantitative Data
Cluster: Summarize, represent, and interpret data on a single count or measurement variable
MAT-HS.S-ID.05 Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
|
Student Learning Targets:
Knowledge Targets
Reasoning Targets
- I can analyze a set of data.
- I can recognize associations and trends in data from a two-way table.
Skills (Performance) Targets
- I can collect an appropriate set of data.
- I can interpret joint, marginal, and relative frequencies in context.
Product Targets
- I can construct a graph to represent a set of data.
- I can create a two-way table from two categorical variables and read values from two-way tables.
|
Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. |
- |
| |
3.5 |
In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. |
| 3.0 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
| |
2.5 |
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). |
| 2.0 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
1.5 |
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). |
| 1.0 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). |
- |
| |
0.5 |
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). |
| 0.0 |
Even with help, the student demonstrates no understanding or skill. |
- |
Resources
| Web |
|
Vocab
- two-way frequency table
- joint frequency
- marginal frequency
- relative frequency
|
|
|
