11-1 frequency tables and histograms (textbook pages:...

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Course: 7 th Grade Math DETAIL LESSON PLAN Thursday, March 29 / Friday, March 30 Student Objective (Obj. 5a, 5c) TSW… create and analyze frequency tables and histograms based on a set of data. Lesson 11-1 Frequency Tables and Histograms (Textbook Pages: 532-536) Resources Think Map Tree Map (Types of graphs) Homework Data Analysis test next class. Complete study guide. Last Night’s Homework Complete line graph / scatter plot classwork for homework. (Buckledown and MCT practice sheets) Bellwork Pass out notes on circle graphs. Have students work through you-try problem and college preference activity.. Prior Knowledge This nine weeks, we have learned a lot about different ways we can analyze data. Box-and-whisker plots, circle graphs, line graphs, and scatter plots to name just a few. Anticipatory Set TODAY we are going to look at 2 other types of graphs: Frequency Tables and Histograms Show Tree Map showing characteristics of different types of graphs learned so far. Include frequency table and histogram. Why would you want to represent data in a Frequency Table or Histogram? Well, last year I was interested in trying to find out how many of my students were pet lovers like Parris Hilton and Miley Cyrus. Here’s what I found out… (Display transparency “Pet Lovers”) Teacher Input Pass out Student Notes. Explain what a frequency table is and why they are used. Explain what a histogram is and why they are used. Guide students through example on student notes. Have students work you-try problems (independently). Classwork: Study guide Extra practice: BD-165 (Freq. Tbl, Histogram) with partner Assessment Question the students for understanding. Monitor students as they work on classwork. Data Analysis test next class. Closure We have covered quite a few types of graphs used for data analysis. 1. Which table records with tally marks how often an item occurs? Frequency Table 2. Which table is a bar graph that can be used to illustrate the frequency that an item occurs? Histogram 3. Which graph is used to shows parts of a whole ? Circle Graphs 4. Which graph is used to show a relationship between two things? Scatter Plots 5. Which graph is good to use when showing data over a period of time ? Line Graphs 6. What methods did we use in class to help us find the center of our data? Mean, Median, Mode

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Page 1: 11-1 Frequency Tables and Histograms (Textbook Pages: …images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/SouthavenMiddl… · ... 7th Grade Math DETAIL LESSON PLAN ... Lesson 11-1

Course: 7th Grade Math DETAIL LESSON PLAN Thursday, March 29 / Friday, March 30 Student Objective (Obj. 5a, 5c) TSW… create and analyze frequency tables and histograms based on a set of data. Lesson 11-1 Frequency Tables and Histograms (Textbook Pages: 532-536) Resources Think Map Tree Map (Types of graphs) Homework Data Analysis test next class. Complete study guide. Last Night’s Homework Complete line graph / scatter plot classwork for homework. (Buckledown and MCT practice sheets) Bellwork Pass out notes on circle graphs. Have students work through you-try problem and college preference activity.. Prior Knowledge

This nine weeks, we have learned a lot about different ways we can analyze data. Box-and-whisker plots, circle graphs, line graphs, and scatter plots to name just a few.

Anticipatory Set

TODAY we are going to look at 2 other types of graphs: Frequency Tables and Histograms

Show Tree Map showing characteristics of different types of graphs learned so far. Include frequency table and histogram.

Why would you want to represent data in a Frequency Table or Histogram?

Well, last year I was interested in trying to find out how many of my students were pet lovers like Parris Hilton and Miley Cyrus.

Here’s what I found out… (Display transparency “Pet Lovers”)

Teacher Input

Pass out Student Notes.

Explain what a frequency table is and why they are used.

Explain what a histogram is and why they are used.

Guide students through example on student notes.

Have students work you-try problems (independently).

Classwork: Study guide Extra practice: BD-165 (Freq. Tbl, Histogram) with partner Assessment

Question the students for understanding. Monitor students as they work on classwork. Data Analysis test next class. Closure We have covered quite a few types of graphs used for data analysis. 1. Which table records with tally marks how often an item occurs? Frequency Table 2. Which table is a bar graph that can be used to illustrate the frequency that an item occurs? Histogram 3. Which graph is used to shows parts of a whole? Circle Graphs 4. Which graph is used to show a relationship between two things? Scatter Plots 5. Which graph is good to use when showing data over a period of time? Line Graphs 6. What methods did we use in class to help us find the center of our data? Mean, Median, Mode

Page 2: 11-1 Frequency Tables and Histograms (Textbook Pages: …images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/SouthavenMiddl… · ... 7th Grade Math DETAIL LESSON PLAN ... Lesson 11-1

To easily determine if our

class is a class of pet lovers

like these celebrities are!

Floyd

Paris Hilton &

Tinkerbelle

J Lo &

Marc

Miley &

Sophie

Justin

Bieber

&

Sam

Cee Lo & Perrfect

Page 3: 11-1 Frequency Tables and Histograms (Textbook Pages: …images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/SouthavenMiddl… · ... 7th Grade Math DETAIL LESSON PLAN ... Lesson 11-1

Student Notes Lesson 11-1 Reporting Frequency Textbook Pages 532-536

Frequency Tables

Definition

It is a table that lists each item in a data set and the number of times each item occurs. Tally marks are used to keep track of how many times an item occurs.

Example

Mrs. Berg asked 18 students in her class… “How many pets do you own?”

Responses: 0, 4, 2, 1, 6, 2, 0, 1, 2, 6, 3, 2, 4, 1, 7, 2, 2, 8

Number of Pets owned by Students

Number of Pets

Owned

Tally Frequency

0 I I 2

1

2

3

4

5

6

7

8

9

You Try: Complete the rest of the chart then answer: More students owned how many pets? Answer: ______

Page 4: 11-1 Frequency Tables and Histograms (Textbook Pages: …images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/SouthavenMiddl… · ... 7th Grade Math DETAIL LESSON PLAN ... Lesson 11-1

Histograms

Definition It is a bar graph that can be used to illustrate the frequency of a set of data.

The height of each bar shows the frequency of data within that interval.

(Note: There are no spaces between the bars on a histogram)

Let’s use the frequency table from Mrs. Berg’s Pet survey to create a Histogram:

Number of Pets owned by Students

Number of Pets

Owned

Tally Frequency

0 I I 2

1 l l I 3

2 I I I I I 6

3 l 1

4 I I 2

5 0

6 l l 2

7 l 1

8 I 1

9 0

Number of Pets owned by Students

(Histogram)

9

8

7

6

Frequency 5

4

3

2

1

0-1 2-3 4-5 6-7 8-9

Intervals - Number of Pets Owned

Complete the

histogram for the rest of the intervals!

Page 5: 11-1 Frequency Tables and Histograms (Textbook Pages: …images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/SouthavenMiddl… · ... 7th Grade Math DETAIL LESSON PLAN ... Lesson 11-1
Page 6: 11-1 Frequency Tables and Histograms (Textbook Pages: …images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/SouthavenMiddl… · ... 7th Grade Math DETAIL LESSON PLAN ... Lesson 11-1
Page 7: 11-1 Frequency Tables and Histograms (Textbook Pages: …images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/SouthavenMiddl… · ... 7th Grade Math DETAIL LESSON PLAN ... Lesson 11-1
Page 8: 11-1 Frequency Tables and Histograms (Textbook Pages: …images.pcmac.org/SiSFiles/Schools/MS/DeSotoCounty/SouthavenMiddl… · ... 7th Grade Math DETAIL LESSON PLAN ... Lesson 11-1