7SP-Use+random+sampling+to+draw+inferences+about+a+population

7.MP.3. Construct viable arguments and critique the reasoning of others. 7.MP.6. Attend to precision. 7.MP.1. Make sense of problems and persevere in solving them. 7.MP.2. Reason abstractly and quantitatively. 7.MP.3. Construct viable arguments and critique the reasoning of others. 7.MP.5. Use appropriate tools strategically. 7.MP.6. Attend to precision. 7.MP.7. Look for and make use of structure. || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Learning Target/Task Analysis**===
 * ===**Common Core Standard**===
 * 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. //For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.// || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**===
 * 7SP1**
 * 7SP2**
 * ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**=== || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking**=== ||
 * 7.SP.1 Students recognize that it is difficult to gather statistics on an entire population. Instead a random sample can be representative of the total population and will generate valid results. Students use this information to draw inferences from data. A random sample must be used in conjunction with the population to get accuracy. For example, a random sample of elementary students cannot be used to give a survey about the prom.**


 * Example 1:** The school food service wants to increase the number of students who eat hot lunch in the cafeteria. The student council has been asked to conduct a survey of the student body to determine the students’ preferences for hot lunch. They have determined two ways to do the survey. The two methods are listed below. Determine if each survey option would produce a random sample. Which survey option should the student council use and why?

1. Write all of the students’ names on cards and pull them out in a draw to determine who will complete the survey. 2. Survey the first 20 students that enter the lunchroom. 3. Survey every 3rd student who gets off a bus.


 * 7.SP.2 Students collect and use multiple samples of data to answer question(s) about a population. Issues of variation in the samples should be addressed.**


 * Example 1:** Below is the data collected from two random samples of 100 students regarding student’s school lunch preference. Make at least two inferences based on the results.



Solution: • Most students prefer pizza. • More people prefer pizza and hamburgers and tacos combined.

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**I can use random sampling to draw inferences about a population.**

 * (7SP1) I can use random sampling to represent total population.**
 * (7SP2) I can use data from random samples to draw inferences.**

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Essential Vocabulary**

 * counting principle, sample space, compound event, independent event, dependent event, theoretical probability, experimental probability, variation/variability, distribution, measures of center, measures of variability**

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Differentiation**

 * peer tutoring, guided notes, blogs, grouping, foldables, justification of answers, inquiry based learning to accelerate/remediate, conduct surveys and include the process of statistical measures to summarize data collected**

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Instructional Resources**===
 * Math Partners resources,**

http://qta.quantiles.com/qtaxon/goal/29768/ http://qta.quantiles.com/qtaxon/goal/29769/

http://www.montgomery.k12.nc.us/18032092913393583/site/default.asp
 * http://www.kutasoftware.com,**
 * http://www.mathgoodies.com,**

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===
 * 7.MP.1. Make sense of problems and persevere in solving them.**
 * 7.MP.2. Reason abstractly and quantitatively.**
 * 7.MP.3. Construct viable arguments and critique the reasoning of others.**
 * 7.MP.5. Use appropriate tools strategically.**
 * 7.MP.6. Attend to precision.**
 * 7.MP.7. Look for and make use of structure.**