The curriculum reinforcer, is a daily practice piece that is incorporated into almost every lesson to help my students to retain skills and conceptual understanding from earlier lessons. My strategy is to use Spiraled Review to help my students retain what they learned during the earlier part of the year. This will help me to keep mathematical concepts fresh in the students mind so that the knowledge of these concepts become a part of students' long term memories.
To open up this lesson, I will teach my students a song. The lyrics to the song is as follows:
Mode, Mode, Mode, the most
Range is the distance in between
Median, middle, Median, middle
The average is the mean.
These lyrics are to be sung to the tune of Row, Row, Row, your boat and are a way for students to remember which measurement is which. Often times, students get the measurements mixed up… If you ask them to find the mode, they find the median or if you ask them to find the median they find the mean. This song will help with that confusion
Today, the students will continue their exploration of mean and will also be introduced to median, mode, range, and outlier. They will focus on being able to find/calculate these measurements when given a set of data. I will demonstrate to my student how to calculate these different data measures by conducting a survey of how many total siblings each student has. The data gathered by this survey will be used for the purpose of modeling how to use the data items to calculate the different measures of data highlighted in this lesson.
The procedure by which we will conduct this survey is as follows:
The students will follow along and take notes as I demonstrate how to find the mean, median, mode, range, and check for outliers. Then, I will provide my students with the following data set so that they can practice finding the mean, median, mode, range, and outlier.
1) 15, 19, 12, 15, 2, 18, 17, 15, 2, 14
After the students practice finding these measurements of data, then we will discuss what these measurements tell you about the data set as well as what these measurements cannot tell you about the data set
Some examples as to questions that I might ask during this time is:
***Note: These are just a sampling of possible questions. There are many more questions that can be asked during this time that will provide wonderful amount of information about what the students know and understand.
Things that I want students to pull form this discussion are:
***Note: Students should know that the most reliable data set should have measurements for mean, median, and mode that are very close if not the same. And, it should also have a small range, and no outliers.
To demonstrate their understanding of the concepts taught in today's lesson my students will complete three tasks over a two day period. The tasks are to be completed in the following order:
Each of these tasks help students to dive into the significance of the different types of data measures in both conventional and non-conventional ways.
Please click on the tasks, which are attached to this section of this lesson so that you may be privy to the details of each of the tasks.
As previously stated, the students will complete these tasks over a two day period. They will be placed in groups of no more than four students. The grouped students will collaborate with each other on how to complete each task successfully, as well as the best way to present the tasks.
To close out this lesson, I will have each group place their tasks on the wall. All of the groups will complete a gallery walk while taking note of similarities and differences to the solution approaches in each of the tasks. I will then facilitate a discussion where students will highlight what they have noted during the gallery walk. During this time, the students should be making thoughtful comments, giving critique, asking questions, and defending their work.
Answer the following question – Why is it important to have several measures of data?