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Instructional Plan Template

Mathematics Governor’s Institute 2004

(Download as Microsoft word documents: Instructional Plan 5 number summary.doc, Vocab.doc, Vocab-Key.doc, VVWA-box and whiskers.doc, VVWA-box and whiskers-Key.doc, worksheet 1.doc, worksheet 2.doc, worksheet 2 answer key.doc, worksheet 3.doc, worksheet 3 answer key.doc)

 

Names of group members: Alice Dugan, Stephanie Smith, Jim Burd

 

Topic/Theme: Five Number Summary

 

Level: Algebra I, 9th Grade

 

Time Element: 2 periods or 1 block

 

NCTM Standards Addressed: Algebra and Data Analysis

 

PA Math Standards Addressed: 2.2, 2.3, 2.4, 2.6

 

Math Assessment Anchors Addressed: M11.A.3, M11.B.1, M11.B.2, M11.E.1, M11.E.2, M11.E.4

 

Reading Assessment Anchors Addressed: R11.A.2

 

Objectives: Upon completion of this lesson, students will:

·        Practice arithmetic skills

·        Arrange data in ascending or descending order

·        Learn to determine the components of the five number summary

 

 

Instructional Strategies and Plan (include strategies used to help different types of learners, i.e. auditory, visual, etc):

1.     Pre-teach vocabulary.

2.     Review measuring skills and concepts.

3.     Model the procedure for the activity and delineate expectations for students’ behaviors during the activity.

4.     Complete activity and record results.

5.     Analyze the results.

6.     Generalize results.

 

 

Materials/Resources:

·        Flashlights

·        Calculators (preferably TI 83 Plus)

·        Pencils

·        Worksheets

1.     Finding the 5 number summary and boxplot of Gold Medals by country won at the 2000 Sydney Olympics

2.     Spreadsheet for data collection for the 2004 Athens Olympics

3.     Data Analysis worksheet

4.     Verbal and Visual Word Association (VVWA) handout

 

 

Interdisciplinary Connections:

·         Reading:

·         Identification of vocabulary, main idea, and relevant information derived from the reading and the accompanying data.

 

 

·         Technology:

·         Create box and whisker plots using the TI 83 Plus to find the five number summary.

·         Create a spreadsheet for the Athens 2004 data.

 

 

·         Other: History, Health, World Language, Physical Education:

·        Olympic Torch Activity  

·        Athens 2004 Olympics: Total Gold Medals for each participating country.

·        Olympic Events: Winning times for assigned event for the past eight Olympics.

 

 

 

Assessment Strategies:

·         Formative Evaluation (checking student understanding during the lesson):

·        Teacher will observe and question students as they engage in the activity and analyze the data.

 

 

·         Summative Evaluation (How will it be determined that the objectives were achieved?):

·        Teacher will conduct a post activity discussion.

·        Students will complete the Verbal and Visual Word Association (VVWA) handout for concept and vocabulary reinforcement.

·        Teacher will evaluate the students’ activity worksheets and spreadsheets.

 

 

Correctives/Remediation:

·        Students will develop a second box and whiskers plot based on provided data from the Sydney 2000 Summer Olympics.

         

 

 

Extensions/Enrichment:

·        Students will research and collect data from the 2004 Athens Summer Olympics to develop a box and whisker plot for their data.

 

 

 

Special Accommodations (special needs students)

·          Description of the Special Needs student selected:

Thomas:

  1. Requires development of reading and comprehension skills.
  2. Two grade levels behind in district math curriculum.
  3. Engages in noncompliant behaviors:
    1. Arguing
    2. Talking out
    3. Destruction of learning materials
  4. Motivated to be in class.

 

·          Accommodations to use with this student:

·          Reading and Mathematics Accommodations:

Ø        Read the problem to the class as students follow along.

Ø        Have students paraphrase the problem.  What are we supposed to find?

Ø        Model the procedure for the activity for the class.

Ø        Model the calculator procedures and mathematical computations required for the activities.

Ø        Provide a guided activity record sheet with tables to complete.

 

·          Behavioral Accommodations:

Ø        Give explicit instructions for student behavior during the activity.

Ø        Establish and maintain eye contact during oral directions.

Ø        Use close proximity to assist the student in focusing on directions and staying on task.

Ø        Use praise and rewards for good behavior.

Ø        Allow the student to have a responsible job during the activity.

 

 

Name___________________________________________

 

Five Number Summary

Vocabulary Terms

       

 

Ascending order

 

 

        Descending order

 

 

Minimum

 

 

Maximum

 

 

Range

 

 

Median

 

 

Lower Quartile (Q1)

 

 

Upper Quartile (Q3)

 

 

Interquartile Range

 

 

Box and Whiskers Plot

 

 

 

Name___Key________________________________________

 

Five Number Summary

Vocabulary Terms

 

       

 

Ascending order              Numbers arranged from lowest to highest

 

Descending order            Numbers arranged from highest to lowest

 

Minimum                         Smallest number

 

Maximum                        Largest numbers

 

Range                              Difference between maximum and minimum

 

Median                            The middle value when arranged from smallest to largest

 

Lower Quartile (Q1)        The value halfway between the minimum and the median

 

Upper Quartile (Q3)         The value halfway between the maximum and the median

 

Interquartile Range        The difference between the upper quartile and the lower quartile (Q3 – Q1)

 

 

Box and Whiskers Plot   The graph representing the interquartile range (box) and the lower and upper quartile (whiskers)

 

 

Name_________________________________________

 

Vocabulary: Box and Whiskers Plot

Verbal and Visual Word Association (VVWA)

 

Directions:

  1. Write Box and Whiskers Plot in the upper left box below.
  2. Draw a visual representation of Box and Whiskers Plot in the upper right box below.
  3. In the lower right box below, write or draw examples or characteristics of Box and Whiskers Plot to make a personal association with this vocabulary term.
  4. In the lower left box below, write a definition in your own words for Box and Whiskers Plot.

 

Vocabulary Term

Visual Representation

Definition

Personal Association

 

 

Name_____Key____________________________________

 

Vocabulary: Box and Whiskers Plot

Verbal and Visual Word Association (VVWA)

 

Directions:

  1. Write Box and Whiskers Plot in the upper left box below.
  2. Draw a visual representation of Box and Whiskers Plot in the upper right box below.
  3. In the lower right box below, write or draw examples or characteristics of Box and Whiskers Plot to make a personal association with this vocabulary term.
  4. In the lower left box below, write a definition in your own words for Box and Whiskers Plot.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

 

 

Name: __________________________________________

 

Gold medals won by each country at the

2004 summer Olympics in Athens

 

  1. Create a spreadsheet
    1. Column A should contain the names of countries that won two or more gold medals.  Information can be found using www.ATHENS2004.com.
    2. Column B should contain the number of gold medals won by each of the countries listed in column A.
    3. The spreadsheet should be sorted in Descending order of gold medals won.
    4. Staple the spreadsheet to this worksheet.

 

  1. Use the data to create a box and whiskers graph.  Use a labeled horizontal axis.

 

 

 

 

 

 

 

 

 

 

 

  1. Give the values for your 5-number summary, showing work where appropriate:
    1. Minimum = _____
    2. Lower Quartile (Q1) = _____
    3. Median = _____
    4. Upper Quartile (Q3) = _____
    5. Maximum = _____

 

 

 

 

Name: __________________________________________

 

Number of gold medals won by each country at the

2000 summer Olympics in Sydney

 

Country

Number of Gold Medals:

Algeria

1

Argentina

0

Armenia

0

Australia

16

Austria

2

Azerbaijan

2

Bahamas

1

Barbados

0

Belarus

3

Belgium

0

Brazil

0

Britain

11

Bulgaria

5

Cameroon

1

Canada

3

Chile

0

China

28

Chinese Taipei

0

Colombia

1

Costa Rica

0

Croatia

1

Cuba

11

Czech Republic

2

Denmark

2

Estonia

1

Ethiopia

4

Finland

2

France

13

Georgia

0

Germany

13

Greece

4

Hungary

8

Iceland

0

India

0

Indonesia

1

Iran

3

Ireland

0

Israel

0

Italy

13

Jamaica

0

Japan

5

Kazakhstan

3

Kenya

2

Korea

8

Kuwait

0

Kyrgyzstan

0

Latvia

1

Lithuania

2

Macedonia

0

Mexico

1

Moldova

0

Morocco

0

Mozambique

1

Netherlands

12

New Zealand

1

Nigeria

0

North Korea

0

Norway

4

Poland

6

Portugal

0

Qatar

0

Romania

11

Russia

32

Saudi Arabia

0

Slovenia

2

Slovakia

1

South Africa

0

Spain

3

Sri Lanka

0

Sweden

4

Switzerland

1

Thailand

1

Trinidad & Tobago

0

Turkey

3

Ukraine

3

United States

40

Uruguay

0

Uzbekistan

1

Vietnam

0

Yugoslavia

1

 

  1. List the number of gold medals won in descending order for those countries which have won two or more gold medals.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. Use the data to create a box and whiskers graph.  Use a labeled horizontal axis.

 

 

 

 

 

 

 

 

 

 

 

  1. Give the values for your 5-number summary, showing work where appropriate:
    1. Minimum = _____
    2. Lower Quartile (Q1) = _____
    3. Median = _____
    4. Upper Quartile (Q3) = _____
    5. Maximum = _____

 

 

 

 

 

ANSWER KEY

 

Number of gold medals won by each country at the

2000 summer Olympics in Sydney

 

 

  1. List the number of gold medals won in descending order for those countries which have won two or more gold medals.

 

40

32

28

16

13

13

13

12

11

11

11

8

8

6

5

5

4

4

4

4

3

3

3

3

3

3

3

2

2

2

2

2

2

2

2

 

 

 

 

 

 

 

 

 

 

 

 

  1. Use the data to create a box and whiskers graph.  Use a labeled horizontal axis.

 

 

                                                               

 

 

 

  1. Give the values for your 5-number summary, showing work where appropriate:
    1. Minimum = 2
    2. Lower Quartile (Q1) = 3
    3. Median = 4
    4. Upper Quartile (Q3) = 11
    5. Maximum = 40

 

 

Name:  ________________________________________

 

Organize your data by listing it from the smallest to the largest number:

 

1.      45, 59, 23, 75, 101, 2, 34

 

 

 

2.      759, 215, 72, 39, 578, 3

 

 

 

Organize your data by listing it from the largest to the smallest number:

 

3.      14, 15, 92, 13, 29, 58, 34, 78

 

 

 

4.      257, 34, 1, 67, 89, 102, 45

 

 

 

Find the median of each of the above answers.

 

            1.

 

 

            2.

 

 

            3.

 

 

            4.

 

 

 

 

 

Name:  ANSWER KEY

 

Organize your data by listing it from the smallest to the largest number:

 

5.      45, 59, 23, 75, 101, 2, 34

 

2, 23, 34, 45, 59, 75, 101

 

6.      759, 215, 72, 3, 578, 3

 

3, 3, 72, 215, 578, 759

 

Organize your data by listing it from the largest to the smallest number:

 

7.      14, 15, 92, 13, 29, 58, 34, 78

 

13, 14, 15, 29, 34, 58, 78, 92

 

8.      257, 34, 1, 67, 89, 102, 45

 

1, 34, 45, 67, 89, 102, 257

 

Find the median of each of the above answers.

 

            1.  45

 

 

            2. 

 

 

            3. 

 

 

            4.  67

 

 

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