1 U n t er r i ch t spl a n Prac t ic e wit h Line Pl o t s (Ce nt ime t e rs ) Altersgruppe: 3 r d Gr ade , 4 t h Gr ade Virginia - Mathematics Standards of Learning (2009): 2.17 , 2.19, 3 .17 a, 3 .17 b, 3 .17 c , 4 .14 , 5 .15 Virginia - Mathematics Standards of Learning (2016): 3 .15 .a, 3 .15 .b Fairfax County Public Schools Program of Studies: 2.17 .a.4 , 2.19.a.1, 2.19.a.2, 2.19.a.3 , 3 .17 .a.1, 3 .17 .a.2, 3 .17 .b.1, 3 .17 .b.4 , 3 .17 .c .1, 3 .17 .c .7 , 4 .14 .a.1, 4 .14 .a.11, 4 .14 .a.2, 4 .14 .a.5 , 4 .14 .a.7 , 4 .14 .a.9, 5 .15 .a.7 , 5 .15 .a.8 Online-Ressourcen: T he P l o t T hi c ke ns Opening T eacher present s St udent s pract ice Mat h Pract ice 5 12 12 15 3 min min min min min M at h Obj e c t i v e s E x pe r i e nc e making a line plot from a table P r ac t i c e creating line plots L e ar n to gather, organize, and analyze data De v e l o p statistical skills Copyright 2015 www.matific.com Closing 2 Ope ni ng | 5 min Display the following table and line plot: S ay : The data in the table is accurate. One of the monsters made a mistake when transferring the data to the line plot. What information is displayed incorrectly in the line plot? Copyright 2015 www.matific.com 3 There should not be any “X” marks above 141. There should be one more “X” mark above 138. The data for 135 and 136 is swapped – there should be 3 “X” marks above 135 and 5 “X” marks above 136. A sk : Why should there not be any “X” marks above 141 in the line plot? There are no monsters with height 141 centimeters. To show that the height does not occur, we do not place any “X” marks above the number 141. A sk : What does each “X” mark represent? Each “X” mark represents one monster’s height. Since there are 3 “X” marks above 133, we know that 3 monsters are 133 centimeters tall. T e ac he r pr e se nt s M at h game : T he P l o t T hi c ke ns - L i ne P l o t s: C e nt i me t e r s | 12 min Using Presentation Mode/Smart Board Mode, present Matific ’s episode T he P l o t T hi c ke ns - L i ne P l o t s: C e nt i me t e r s to the class, using the projector. The goal of the episode is to create a line plot from a table of data and then answer questions about the data. Copyright 2015 www.matific.com 4 S ay : Please read the instructions. The instructions say, “Each student in the class measured the length of his/her left arm in centimeters. Use the data to construct the line plot.” S ay : Let’s look at the line plot. Where have the “X” marks been made for us? There is 1 “X” mark above the 47 and 2 “X” marks above the 50. S ay : Let’s look at the table. How many students have an arm length of 47 centimeters? How many have an arm length of 50 centimeters? Have these been accurately represented on the line plot? Two students have an arm length of 47 centimeters, and 5 students have an arm length of 50 centimeters. So the line plot is not accurate. We need to make 1 more “X” mark over the 47 and 3 more “X” marks over the 50. Make the marks over the 47 and the 50. A sk : Where else do we need to make “X” marks? Copyright 2015 www.matific.com 5 Make “X” marks as the students suggest. When the line plot is complete, click . If the line plot is accurate, the episode will proceed to a question. If the line plot is not accurate, the instructions will wiggle, and the incorrect portions of the line plot will be highlighted in red. The episode will ask a total of three questions about the data in the line plot. S t ude nt s pr ac t i c e M at h game : T he P l o t T hi c ke ns - L i ne P l o t s: C e nt i me t e r s | 12 min Have the students play T he P l o t T hi c ke ns - L i ne P l o t s: C e nt i me t e r s on their personal devices. Circulate, answering questions as necessary. Copyright 2015 www.matific.com 6 M at h P r ac t i c e : L i ne P l o t s W o r kshe e t | 15 min S ay : Today we are going to poll our classmates and then display what we find out in a line plot. The first task is to think of a question we want to ask our classmates. It should be a question that has a number for an answer. What questions could we ask our classmates where their response would be a number? Responses will vary, but may include: How old are you? How many people do you live with? How many pets do you have? How many pencils are in your desk? How many sports do you play? S ay : Now write down your question in your notebook. Remember, the answer to your question must be a number. You may choose one of the questions we discussed as a class, or you may write a different one. When students have finished writing, ask the students to complete the following: 1. Ask 10 different classmates the question. 2. Write down their answers. 3. Make a line plot of the data. Have students move around the classroom to collect data. When they have talked to 10 people, they should return to their seats to draw the line plots. Distribute rulers and paper as necessary. Remind the students that their line plots need a title and that the intervals on the number line should be equally spaced and numbered consistently. Circulate, answering questions as necessary. Copyright 2015 www.matific.com 7 C l o si ng | 3 min Display the following line plot: S ay : Name some errors that were made in this line plot. The numbers do not count up by the same amount each time. The difference between one number and the next is usually 1, but at one point, the number line jumps from 1 to 5. The space between 9 and 10 is not equal to the spaces between each of the other numbers. A sk : Why might this be misleading? We don’t get an accurate picture of the data. It looks like the data is spread out fairly evenly between 0 and 10, when really no monsters have tails of length 2, 3, or 4 centimeters. Copyright 2015 www.matific.com
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