TEACHERS: SUBJECT: Math Jamy Myrmel STANDARD: 5.MD.B.2-Represent and interpret data. OBJECTIVE (EXPLICIT): Display numerical data on a number line dot plot. EVIDENCE OF MASTERY (MEASURABLE): KEY VOCABULARY: Mean, Median, Mode MATERIALS: Whiteboards or paper, Presidential worksheet ENGAGE (MAKE CONTENT AND LEARNING RELEVANT TO REAL LIFE AND CONNECT TO STUDENT INTEREST) BEFORE TEACHER WILL: Pre-assessment: Use this quick assessment to see if students understand the differences between mean, median, and mode. STUDENT WILL: Discuss and solve the pre-assessment problem. Write the three long jump measurements of two different jumpers on the board and ask students to determine who is the better jumper. a. Jumper A: 220 centimeters, 224 centimeters, 224 centimeters b. Jumper B: 250 centimeters, 125 centimeters, 250 centimeters DURING Note students who do not distinguish the differences among mean, median, and mode. TEACHER WILL: Draw a horizontal line across the board and divide it into 10 equal segments labeled 1– 10. STUDENT WILL: Use the line as a dot plot to take a quick survey to see how many books students read in the last month. Ask each student Think about how many books they read last month and place a dot over the correct number. and place a dot over the number, increasing the dots vertically. When the survey is complete, analyze the results. Determine the mean (average), the median (the exact middle) and the mode (the most frequent value). Discuss the benefits of using a dot plot to capture and display data. Ask students what type of data would and would not be easy to capture in a dot plot. For example, a dot plot would not be as helpful as a line graph to display a growth chart, or it would not be as helpful as a pie chart to show parts of a whole. Discuss questions in Think, Pair, Share Guided Practice Divide the class into groups of 3–4 students. Have them each develop a dot plot that displays the number of pets owned in the group. Have them calculate the mean, median, and mode of the data. Develop a dot plot of number of pets and find mean, median, mode. Have each group share its data as you capture the data in a chart, adding up the numbers. Then create a class dot plot of the number of pets. Calculate the mean, median, and mode of the class data. Discuss the advantages of the dot plot display over the chart. Discuss the effect of having more data on the dot plot by comparing the group data to the class data. Alternate Activity: Work with students look through the newspaper for sets of current data (sports, weather, population, surveys). Have them extract data related to an interest; create a dot plot; and calculate the mean, median, and mode of the data. Discuss their conclusions about the data and whether the dot plot was the best way to represent it. AFTER Have them present their findings to the class. TEACHER WILL: Have students complete the independent practice with dot plots. STUDENT WILL: Complete a dot plot of presidential ages at inauguration and find the mean, median and mode. Independent Practice with Dot Plots Create a dot plot showing ages of Presidents at their inaugurations. Calculate the range, mean, median, and mode. President 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 George Washington John Adams Thomas Jefferson James Madison James Monroe John Quincy Adams Andrew Jackson Martin Van Buren William Henry Harrison John Tyler James K. Polk Zachary Taylor Millard Fillmore Franklin Pierce James Buchanan Abraham Lincoln Andrew Johnson Ulysses S. Grant Rutherford B. Hayes James A. Garfield Chester A. Arthur Grover Cleveland Benjamin Harrison Age at Inauguration 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 51 47 55 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 Grover Cleveland William McKinley Theodore Roosevelt William Howard Taft Woodrow Wilson Warren G. Harding Calvin Coolidge Herbert Hoover Franklin D. Roosevelt Harry S. Truman Dwight D. Eisenhower John F. Kennedy Lyndon B. Johnson Richard Nixon Gerald Ford Jimmy Carter Ronald Reagan George H.W. Bush Bill Clinton George W. Bush Barack Obama 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46 54 47