Course: 7th Grade Math DETAIL LESSON PLAN Monday, March 19 / Tuesday, March 20 Student Objective (Obj. 5b) TSW… describe data using median, mean, mode, and range. Lesson 1-10 Median, Mean, Mode, and Range (Textbook Pages: 53-58) Homework Mean, Median, Mode, Range Practice Sheet (4 problems) Last Night’s Homework None Bellwork Buckledown MCT2 (A) – Problem #’s 1-4 Prior Knowledge

In previous classes you probably learned that you could analyze data to make predictions.

This is called “Data Analysis”. For example, data analysis can help us predict who will become president of the United States!

Maybe your mom or dad has even participated in a poll.

This leads us into today’s lesson… Anticipatory Set

But, before we get started I would like to play a little song for you.

My brother-in-law has been doing a little singing. He wrote me a song to help introduce today’s lesson!

Now, we all know that Mr. Todd CAN write some good songs. He did write the “Keep, Change, Flip” song; however he just CAN’T sing them very well.

I would like for you to listen to the song. As you are listening, I want you to try and figure out what this crazy song has to do with math! Play”short” version of song.

Call on students to share their answers. Don’t confirm any answers. Just say maybe, or good answer. Say… “Now I’d like to pass out the lyrics to the song and we’ll re-listen to the song. This version is a little different… “So listen for the hints to see if you were right!” Play “long” version of song. Say… “If you haven’t guessed… Today we will be learning about Median, Mean, Mode, and Range”.

Let’s start with the Mean…

Teacher Input

Pass out Student Notes.

Discuss mean and its use in finding averages on a report card.

Demonstrate how to calculate the mean.

Discuss median.

Show picture of Destiny’s Child. Point out Beyonce in the middle. How do I know Beyonce is in the middle?

Well, there is one person on each side of Beyonce, leaving her in the middle!

Show picture of Original Destiny’s Child with the 4th member. Now, who’s in the middle?

Students will say… there are two girls in the middle!

Demonstrate how to find the median.

Discuss mode and how it is used to determine how to fill a vending machine.

Demonstrate how to determine the mode.

Notice… there are more “1’s” than any other number.

Discuss range and how it is used with temperatures.

Demonstrate how to calculate the range.

Allow students to do you try problem.

Classwork: Color Tile Activity (with manipulatives) Buckledown Page 159

Extra Practice: Internet Practice WS 5

Assessment Observation and questioning.

Closure 1. Median = ? Middle 2. Mean = ? Average 3. Mode = ? Most 4. Range = ? Biggest to Smallest 5. Which measure of central tendency requires you to first put the numbers in order? Median 6. When finding the Median, what do you do if you have 2 middle numbers? You must average the two middle numbers by adding them together, then dividing by 2.

Student Notes Lesson 1-10 Mean, Median, Mode, Range Textbook Pages 53 - 58

Measures of Central Tendencies

Mean = Average Is the sum of the numbers in the data set divided by how many numbers are in the set.

Example: 2, 3, 1, 1, 0, 1, 2, 4 Step 1: 2 + 3 + 1 + 1 + 0 + 1 + 2 + 4 = 14 Step 2: 14 ÷ 8 = _______ Mean

Median = Middle Is the middle number in the data set arranged in order by value. If there are 2 middle numbers, find the average of the 2 middle numbers and that will be the median.

Example: 2, 3, 1, 1, 0, 1, 2, 4

Order the numbers: 0, 1, 1, 1, 2, 2, 3, 4 There are two middle numbers. 1 + 2 = 3 3 ÷ 2 = _______ Median

Mode = Most It is the number that occurs the most often in a dataset. Example: 2, 3, 1, 1, 0, 1, 2, 4 Mode = _______

Range = Biggest - Smallest The range is not a measure of central tendency; however it is a very useful way to describe data! The range describes the spread of the data. It is the difference between the highest and lowest data value in a set of numbers.

Example: 2, 3, 1, 1, 0, 1, 2, 4 4 – 0 = _______ Range

90, 85, 80, 70, 90, 65

Determine the following: Mean_______ Median_______ Mode_______ Range _______

Mandy’s Math Test Scores:

Scores:

Name: ___________________________ Date: _________ Period: _________

Mean, Median, Mode, Range

Using a calculator, find the mean, median, mode and range.

Median - you must show where you ordered the numbers to find your median!

Mode - remember some datasets may have more than one mode, others may not have a mode at all.

1) 9, 3, 15, 11, 8, 5, 5

Mean: ________ Median: ________ Mode: ________ Range: ________

2) 20, 15, 6, 5, 2, 9, 10, 2, 12

Mean: ________ Median: ________ Mode: ________ Range: ________

3) 95, 54, 78, 35, 78

Mean: ________ Median: ________ Mode: ________ Range: ________

4) 16, 16, 26, 32, 5, 7

Mean: ________ Median: ________ Mode: ________ Range: ________

Name: ____Answer Key_____________ Date: _________ Period: _________

Mean, Median, Mode, Range

Using a calculator, find the mean, median, mode and range.

Median - you must show where you ordered the numbers to find your median!

Mode - remember some datasets may have more than one mode, others may not have a mode at all.

1) 9, 3, 15, 11, 8, 5, 5

Mean: 8 Median: 8 Mode: 5 Range: 12

2) 20, 15, 6, 5, 2, 9, 10, 2, 12

Mean: 9 Median: 9 Mode: 2 Range: 18

3) 95, 54, 78, 35, 78

Mean: 68 Median: 78 Mode: 78 Range: 60

4) 16, 16, 26, 32, 5, 7

Mean: 17 Median: 16 Mode: 16 Range: 27