Katherine Lemley

Probability and Analysis
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Mathematics Lesson Plan #1 for Grade 6: Probability and Data Analysis

 

Written by Melissa Mang and Katherine Lemley

 

MST Standard 3, Key Idea 5: Students use measurement to

both metric and English measure to provide a major link

between the abstractions of mathematics and the real world in

order to describe and compare object and data.

 

Social Studies Standard 3:  Geography

 

English Language Arts:  Standard 1

 

Materials: Pencil, paper, calculator, transparency of

definitions of mean, median, and mode and test scores /average

rainfall data set (10 rainfall  measurements).

 

Anticipatory Set: “For the past few days we have been working  on graphing sets of data using line plots and finding the mode and the mean.  Does everyone remember the activity we did yesterday involving test scores?  Very good.  That’s exactly right! We recorded everybody’s math test on the board and found the mode and the mean. Now, can anyone predict how you would go about finding the middle value of a set?  Today we will be working on a third type of average known as the median. Now, take out your average rainfall measurements from your chosen cities of the U.S. you (hopefully) all brought in today.”

 

Objective (s):

1. The student will be able to describe and calculate the mode,

mean, and median using rainfall data they collected and by

using the appropriate formulas.

2. From this lesson, a student will be able to calculate the

averages and compare and contrast their data to determine

which cities are rainier (or less rainy) than others during

September.

3. From this lesson, a student will be able to write a paragraph

describing and interpreting the results.

 

Purpose: Understanding how and why mean, median, and

mode are accurate and efficient ways to display data using a

real-life example.

 

Input: Rainfall transparency and average rainfall data from

students (10)

 

Model: Using the transparency on the overhead, demonstrate

how to find the median using the math test scores from

yesterday. Make a simple graph. Also, remind them how to

find mean and mode. Tell them they may use their calculators

as well.

 

 Activity:

1. I will then explain to the class how to find the median by

organizing the data and finding the middle.

2.  I will provide the class a few examples to practice with as a

I walk around and observe everyone.

3.  Then the class will use their rainfall data to calulate the

median of each city.

4. Then, I will use the overhead to create a graph of the

students calculated data. Using the graph, the students will

determine which city recieved the most rainfall.

 

Check for Understanding: Ask a student to describe what

they will be doing. 

                                                           

Guided Practice: During the activity, walk around to each

student and ask each if they could tell me what the results tell

them.  Assess at the end when all students hand in a paragraph

interpreting the data (for example, which city had the most

rainfall and why they think so). Allow about 15 minutes for

students to complete the task. When class has completed the

activity, have them share their findings. Then I will write the

findings on the overhead.  Then, have the students complete a

graph at their desks. Discuss and compare the results,

theorizing why, for example, cities near the coastline get more

rain than ones in the middle of the country.

 

Evaluate/Closure: Have the students share their opinions on

why certain cities seem to get more rain in September than

others.  Also, have the students write a summary of what they

learned to be handed in.

 

Independent Practice: Students will go home and create and

write a word problem including data to be used to find the

median, mean, and mode. 

 

 

 

 

 

 

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