MAT-07.SP.03
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: TOPIC
MAT-07.SP.03 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.
For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.
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Student Learning Targets:
- I can find the difference in the mean or the median of two different data sets.
- I can demonstrate how two data sets that are very different can have similar variabilities.
- I can draw inferences about the data sets by making a comparison of these differences relative to the mean absolute deviation or interquartile range of a set of data.
Vocabulary:
Measures of Center (Measures of central tendencies)
Variability
mean
median
mode
mean absolute deviation
interquartile range.
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Rubric - Resources |
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MAT-07.SP.04
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Draw informal comparative inferences about two populations
MAT-07.SP.04 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.
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Student Learning Targets:
- I can apply central measures t draw conclusions.
- I draw conclusions from different population samples.
- I can make inferences about two populations.
Proficiency Scale
Click HERE to access the Proficiency Scale for 7.SP.4
Vocabulary:
Measures of Variability
Measures of Center
Mean
Median
Absolute Deviation
Interquartile Range
Population
Random Sample
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Rubric - Resources |
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MAT-07.SP.05
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Investigate chance processes and develop, use, and evaluate probability models
MAT-07.SP.05 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
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Student Learning Targets:
- I can define probabilite as a ratio that compares favorable outcomes to all possible outcomes.
- I can recognize and explain that probabilities are expressed as a number between 0 to 1.
- I can interpret a probability near 0 as unlikely to occur and a probability near 1 as likely to occur.
- I can interpret a probability near 1/2, as being equally able to occur as to not occur
Vocabulary:
Likely
unlikely
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Rubric - Resources |
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MAT-07.SP.06
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Investigate chance processes and develop, use, and evaluate probability models
MAT-07.SP.06 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.
For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
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Student Learning Targets:
- I can collect data on a chance process to approximate its probability.
- I can use probability to predict the number of times a particular event will occur given a specific number of trials.
- I can use variability to explain why the experimental probability will not always exactly equal the theoretical probability.
Vocabulary
Theoretical Probability
Experimental Probability
Relative Frequency
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Rubric - Resources |
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MAT-07.SP.07
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Investigate chance processes and develop, use, and evaluate probability models
MAT-07.SP.07 Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
- a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
- b. Develop a possibly model (which may not be uniform) by observing frequencies in data generated from a chance process.
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Student Learning Targets:
Reasoning Targets
- I can explain the difference between theoretical and experimental probability of an event
Skills Domain (Performance) Targets
- I can find experimental probability of an event
- I can find theoretical probability of an event
Proficiency Scale
Link to Proficiency Scale PDF
Resources
Websites
Vocabulary
- probability
- theoretical probability
- experimental probability
- outcome
- event
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MAT-07.SP.07.a
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Investigate chance processes and develop, use, and evaluate probability models
Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
MAT-07.SP.07.a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
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Student Learning Targets:
- I can find the theoretical probability.
- I can find the number of favorable outcomes.
- I can find the number of possible outcomes.
- I can use a proportion to solve for the total number of outcomes or favorable number of outcomes.
- I can use theoretical probabilities to solve real-world problems.
Vocabulary
- List
- Event
- Outcomes
- Event
- Tree diagram
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MAT-07.SP.07.b
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Investigate chance processes and develop, use, and evaluate probability models
Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
MAT-07.SP.07.b Develop a possibly model (which may not be uniform) by observing frequencies in data generated from a chance process.
For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?
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Student Learning Targets:
- I can find experimental probability.
Vocabulary
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MAT-07.SP.08
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Investigate chance processes and develop, use, and evaluate probability models
MAT-07.SP.08 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
- a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
- b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space with compose the event.
- c. Design and use a simulation to generate frequencies for compound events.
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Student Learning Targets:
- I can find the theoretical Probability
- I can find the experimental Probability
- I can determine the relationship between experimental and theoretical probability
- I can predict the experimental probability of an event based on the theoretical probability
- I can determine the likelihood of an event occurring based on the probability
- I can use organized lists tree diagrams, tables, simulations, and mathematical computations to determine the probability of compound events.
Vocabulary
Compound events
sample space
tree diagram
outcomes
favorable outcomes
simulation
Proficiency Scale
Link to Proficiency Scale
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Rubric - Resources
Khan Academy
Theoretical Probability
Marble Probability
Compound Probability using a sample space
Compound Probability using a tree diagram
Dependent Events
Big Ideas Math: Probability is found in Chapter 9 of the Big Ideas math book
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MAT-07.SP.08a
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Investigate chance processes and develop, use, and evaluate probability models
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
MAT-07.SP.08a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills Domain (Performance) Targets
Product Targets
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Rubric - Resources |
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MAT-07.SP.08b
7th Grade MAT Targeted Standards Domain (SP) Statistics and Probability Cluster: Investigate chance processes and develop, use, and evaluate probability models
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
MAT-07.SP.08b Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space with compose the event.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills Domain (Performance) Targets
Product Targets
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Rubric - Resources |
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