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# Statistical Diagnosis

Lesson 10 of 12

## Objective: SWBAT demonstrate their ability to target the standards for which they need intervention to obtain and retain conceptual understanding successfully.

#### Tailor Made Review

*70 min*

This lesson is one that has to be built by the individual teacher. I say this because only the teacher and the data can determine what should happen during a lesson such as this. For this reason, I am simply providing some insight as to the best method, that I have found, in regard to reviewing for an assessment.

**Preparing to Review:**

- At least two days before a unit assessment, I give my students a quiz that encompasses all the standards of the unit.
- After my students complete the quiz, I have them grade the quizzes by switching papers knowing that they will have an opportunity to correct their wrong answers to help keep anxiety at a minimum as it pertains to quiz grades, thereby increasing integrity of the reported scores.
- I then record which students missed each of the questions presented on the quiz.

**Designing Tailor Made Review:**

- After that, I design a review day that includes stations that cover the deficit areas that were uncovered by the quiz results
- I then prepare index cards that tell my students which stations that they have to visit during the station day making their review experience unique to their needs.

*****NOTE: **

I create altered versions of the station for those of my students who are struggling. i do this to help cultivate independence and minimize the students' dependence on me, the teacher, and their higher achieving peers. When students are able to figure problems out on their own, it builds their confidence, making them more likely to "Make sense of problems and persevere in solving them," during this review day. Furthermore, in building their confidence, students will be more likely to attempt and be willing to struggle through problems that they encounter in the future.

Those who are higher achieving students will receive a challenging task of some sort to stretch their thinking and foster a deeper understanding of the concept.

**During the Review:**

- When the review day arrives, it is my job to facilitate engagement and successful completion of each station task, while observing and addressing any misconceptions that might appear.
- I will also spend time visiting with a small group of struggling students where I will utilize strategies to activate learning and bolster achievement levels. These strategies include but are not limited to; skill building, confidence building, modeling, strategic questioning, and generally filling in knowledge gaps as it pertains to the unit.

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#### Ideas for Tailoring Review

*70 min*

Here are a few ideas to help you determine the best way to review the concepts presented in this unit:

Consider the standards of this unit. This unit includes the understanding of calculating data measures and using those measures to analyze the data set being measured. Decide upon ways that you can present the material of this unit in different ways that will help your students review for the upcoming assessment. For example...

Some stations that you could create to review this unit could include the following:

**Finding Measures of Central Tendency**- At this station, you could have students figuring out mean, median, and mode.- Note: It should be clarified that mode is not really a good measure of central tendency.
**Finding Measures of Variation**- This station would have activities that would require students to figure out the range and interquartile range.**Mean Absolute Deviation**- While at this station, students would be provided an opportunity to calculate mean absolute deviation and articulate what the mean absolute deviation of a data set tells us about the data.**The Shape the Data Makes**- This would be a station where I would provide my students with several data measures and based upon what those measures say, the students should be able to come up with a data set that would fit those measures.

These are just some suggestions as to what can be done to set up stations for this unit. Understand that whatever you do should be based upon data that you have gathered about your students. This data should come from multiple sources (i.e. observation, discussion, homework, quizzes, tickets out the door, classwork... etc.).

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- LESSON 1: Unit 6 Pre-Assessment
- LESSON 2: Statistical Questioning
- LESSON 3: Calculating Mean: A measure of central tendency
- LESSON 4: Median, Mode, Range, and the Outlaw called the Outlier
- LESSON 5: The Absolutes of Mean Absolute Deviation
- LESSON 6: Quiz: Calculating & Understanding Data Measures
- LESSON 7: The Shape Data Makes: Dot Plots
- LESSON 8: Histogram... Instagram... Same Thing
- LESSON 9: So, What's the Plot of this Box?
- LESSON 10: Statistical Diagnosis
- LESSON 11: Unit 6 Assessment:Statistics
- LESSON 12: What Are Your Statistics on Statistics?