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**LEMENT C S S C S S C S **

**ESCRIPTION Use random sampling to draw inferences about a population. **

**7.SP.1.** Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. **7.SP.2.** Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

**Draw informal comparative inferences about two **

**populations.** **7.SP.3.** 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. **7.SP.4.** Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

**Investigate chance processes and develop, use, and evaluate probability models. **

**7.SP.5**. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the

**NTENT**

Use procedure; infer Understand Use data, infer, exemplify Comparing Compare and contrast Use skills to compare two sets Carry out and explain Understand C3, B2.5

C2 B3.2, B2.5, B2.2 B2.6 B2.6 C2.6 B3, B2.7 B2.1

**LEMENT S S O O S O O O I **

**ESCRIPTION**

event occurring. **7.SP.6**. 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. **7.SP.7**. 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. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. **7.SP.8.** Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. 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. 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 that compose the event. Design and use a simulation to generate frequencies for compound events.

**Practice in Teams **

**(**Attachment #5) Explain

**NTENT**

Carry out a procedure and infer C3.1, C2.5 Construct a model and compare Construct a model and summarize Construct a model and compare Carry out a procedure Understand a concept Translate and illustrate using methods Select book and counting letters B2.7, B2.6 B2.7, B2.4 B2.7, B2.6 C3.1 B2.5 C2.1, C2.6 C2.2, C3.2 B2, C3

**LEMENT**

**ESCRIPTION**

**NTENT**

**I-2 A-1 I-3 I-4 I-5 A-2 A-3 I-6 I-7 I-8 A-4 A-5 I-9 A-6 A-7 **

**Closing Activities** (Attachment #6) **Pre-assessment** (Attachment #4)

**Engage Explore Practice **

**Evaluate Understanding** (Attachment #9)

**Enrichment/Extension Engage, explore & explain Practice in Teams **

**Practice together** (fairness) **Evaluate Understanding** (Attachment #10

**Closing activities **

(Attachment #13)

**Engage, explore, explain & **

**practice **(Punnett Squares)

**Evaluate Understanding Closing activities **

Homework Set up probability ratio Play dice game Class completes theoretical distribution table Dice game B2, C3 B2, C3 C3.1 Homework question Tree diagram B2.5, B2.6, B2.7 C3 B2.5, B2.1 Students complete probability table C3.1 Class evaluates game for fairness B2.5 C3, B2, B6 Homework problems on probability Teacher & students construct KWL chart Probability problem Homework – attachment #15; 6 word problems on probability B2 B2, C3 C3 B2 C3 C3

**A-8 **

**Post-assessment** (Attachment #17) B2, C3