Saturday, March 25, 2023, 5:40 AM
Site: Learnbps
Course: BPSS (MAT) Mathematics Standards (SMAT)
Glossary: MATHS: Statistics and Probability
M
MATHS.SCP.01
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Understand independence and conditional probability and use them to interpret data.
MATHS.SCP.01 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the out comes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

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 indepth 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 indepth 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


MATHS.SCP.02
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Understand independence and conditional probability and use them to interpret data.
MATHS.SCP.02 Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

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 indepth 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 indepth 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


MATHS.SCP.03
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Understand independence and conditional probability and use them to interpret data.
MATHS.SCP.03 Understand the conditional probability of A given B as P(A and B)/P (B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A , and the conditional probability of B given A is the same as the probability of B.

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 indepth 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 indepth 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


MATHS.SCP.04
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Understand independence and conditional probability and use them to interpret data.
MATHS.SCP.04 Construct and interpret twoway frequency tables of data when two categories are associated with each object being classified. Use the twoway table as a sample space to decide if events are independent and to approximate conditional probabilities.
For example, collect data from a random sample of students in your school on their favorite subject among ma th, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results. 
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 indepth 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 indepth 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


MATHS.SCP.05
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Understand independence and conditional probability and use them to interpret data.
MATHS.SCP.05 Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer. 
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 indepth 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 indepth 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


MATHS.SCP.06
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Use the rules of probability to compute probabilities of compound events in a uniform probability model.
MATHS.SCP.06 Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A , and interpret the answer in terms of 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 indepth 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 indepth 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


MATHS.SCP.07
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Use the rules of probability to compute probabilities of compound events in a uniform probability model.
MATHS.SCP.07 Apply the Addition Rule, P(A or B) = P( A) + P(B) – P(A and B), and interpret the answer in terms of 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 indepth 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 indepth 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


MATHS.SCP.08
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Use the rules of probability to compute probabilities of compound events in a uniform probability model.
MATHS.SCP.08 Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(BA) = P(B)P(AB), and interpre t the answer in terms of the model.
 a. Substandard
 b. Substandard

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 indepth 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 indepth 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


MATHS.SCP.09
MATHS Targeted Standards (S) Concept: Statistics and Probability (CP) Domain: Conditional Probability and the Rules of Probability Cluster: Use the rules of probability to compute probabilities of compound events in a uniform probability model.
MATHS.SCP.09 Use permutations and combinations to compute probabilities of compound events and solve problems.

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 indepth 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 indepth 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


MATHS.SIC.01
MATHS Targeted Standards (S) Concept: Statistics and Probability (IC) Domain: Making Inferences and Justifying Conclusions Cluster: Understand and evaluate random processes underlying statistical experiments
MATHS.SIC.01 Understand statistics as a process for making inferences about population parameters based on a random sample from that population.

Student Learning Targets:
Knowledge Targets
 I can explain the meaning of the labels of a graph.
 I can explain the need for an appropriate scale/interval for the given data.
 I can identify data points.
 I can recognize the strength of a correlation (strong vs weak).
 I can define correlation; positive correlation, negative correlation, and no correlation.
Reasoning Targets
 I can determine when a line is appropriate on a graph (example scatter plot vs. a distancetime graph).
 I can interpret a circle graph and how the parts relate to each other and to the whole.
 I can interpret a bar graph and describe the relationship between the parts.
 I can determine the correlation between two variables.
 I can explain how to make inferences about a population based on a sample of that population.
Skills (Performance) Targets
 I can provide a written interpretation of graphical information.
 I can answer questions about a given graph.
 I can answer questions about a given set of data.
Product Targets

Proficiency Scale
Score 

Description 
Sample Activity

4.0 
In addition to Score 3.0, the student demonstrates indepth 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 indepth 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

