“Reindeer Games”
Transcription
“Reindeer Games”
From the February 2012 DynaMath magazine (print edition and Web site) “Reindeer Games” Lesson Plan (for use with grades 3 to 6) Lesson Objective FEBRUARY 2012 VOL. 30, NO. 5 ISSN 0732-7773 In DynaMath’s “Reindeer Games” magazine article (above) and related content, students learn about an exciting reindeer race and explore a line graph . Discuss What Students Know About Line Graphs Ask students to identify what they already know about line graphs. List their ideas on the board for the entire class to see. (Ideas may include the parts of a line graph and where students have seen line graphs outside of school.) Step 2 Watch the Video Play the “Reading a Line Graph” video for students, accessible here (type in or click on the link): www.mathsolutions.com/videopage /videos/Final/Dynamath-MS-Reindeer.swf. Vocabulary word: Estimate While an estimate is not an exact answer, it should be based on known numerical facts. On this graph, the values of some data points must be estimated, but those values can be predicted fairly accurately based on where the points appear in relation to the numbered lines. After the video, ask students what new information about line graphs to add to the list on the board. Step 3 Read the Article (pages 3 and 4 of this document) Have students read the “Reindeer Games” article on a computer screen, whiteboard, or printout. Review the line graph with the students. Ask them to explain the meaning of the information that it shows. INSIDE • Smashing Records • America’s Top Dogs • Metric Monsters Reindeer Racers In this race in Finland, reindeer pull skiers very fast. Use these facts to figure out how fast: A human can run up to 27 mph. A grizzly bear can run up to 3 mph faster. These reindeer run up to 7 mph faster than a grizzly bear. How fast are the reindeer racers? For more about reindeer races, see page 4. Get more DynaMath at www.scholastic.com/dynamath. NAME Step 4 Complete the Activity Step 5 Discuss the Answers Step 6 Extend the Learning Alone or in small groups, have students answer the questions that follow the graph. (Page 4 of this document can be printed for students to write on.) In small groups or as a whole group, have students share their answers. Encourage students to express their answers in complete sentences. For questions 4 and 5, students should share how they arrived at their estimates and discuss why some estimation methods seem more accurate than others. Have students complete the “Exploring Line Graphs” activity to convey their understanding of line graphs and when a line graph is the best way to display a set of data. Students will work with a partner for question 2. Scholastic Inc. grants teachers permission to reproduce this page. ©2012 by Scholastic Inc. All rights reserved. Step 1 “Reindeer Games” Standards Covered Common Core State Standards for Mathematics Content Standards • Measurement and Data: Standard 3.MD Represent and interpret data. • Operations and Algebraic Thinking: Standard 4.OA • Number and Operations in Base Ten: Standard 4.NBT Generalize place value understanding for multi-digit whole numbers. • Statistics and Probability: Standard 6.SP Summarize and describe distributions. Mathematical Practice Standards 1. Make sense of problems and persevere in solving them. 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 6. Attend to precision NCTM Standards 1. Number and Operations 2. Algebra 5. Data Analysis & Probability 6. Problem Solving 7. Reasoning and Proof 8. Communication Scholastic Inc. grants teachers permission to reproduce this page. ©2012 by Scholastic Inc. All rights reserved. Use the four operations with whole numbers to solve problems. Statistics: Reading a Line Graph r e e d n i e R Games An annual reindeer race marks the end of a long animal migration Y ou’ve heard of horse races. But how about reindeer races? They’re a popular sport in countries such as Norway and Finland. In many areas shown on the map on the next page, people raise and herd reindeer, which do well in DYNAMATH cold climates. People use the reindeer for food, milk, and transportation. In early winter, reindeer migrate to where the snow is less deep. In February and March, some reindeer herders hold reindeer races at the end of the migration. Herders work with A reindeer race in Finland scientists to keep track of reindeer populations, which can vary a lot over time. “Normally, herds will rise and fall every 40 to 50 years,” says biologist Don Russell. Read the line graph on the next page to track one reindeer population. Continued on next page To order DynaMath, click here or call 1-800-724-6527 REINDEER GAMES continued Watch a Video! Many of the human racers wipe out long before the finish line! Click here for “How to Read a Line Graph” Asia FINLAND Europe North America Reindeer habitat U.S. ATLANTIC OCEAN What to Do This line graph shows the reindeer population in Svalbard (SVAHL-bahrr), Norway, for select years. Use the graph to answer the questions. 1 Story by Linda Buchwald. Kimmo Brandt/EPA/Landov (reindeer). In which year on the graph was the reindeer population in Svalbard, Norway, the lowest? 2 In which year was this reindeer population the highest? 3 Reindeer Population in Svalbard, Norway NORWAY In which year was this reindeer population about 600? 900 800 700 600 500 400 300 200 100 0 1979 1984 1989 1994 1999 2004 2009 Year 4 a. About how many more reindeer were in Svalbard in 2004 than in 1999? b. About how many more reindeer were in Svalbard in 1999 than in 1994? c. Did the population increase more between 1994 and 1999 or between 1999 and 2004? By about how many reindeer? Source: Olav Strand and Erling J. Solberg, NINA ARCTIC OCEAN Number of Reindeer PACIFIC OCEAN 5 First, figure out how much the reindeer population in Svalbard increased from 2004 to 2009. Now suppose that it increased by the same amount from 2009 to 2014. Estimate what the reindeer population in Svalbard would be in 2014. Web Extra! Visit DynaMath’s Web site: Click here or go to www .scholastic.com/dynamath! To order DynaMath, click here or call 1-800-724-6527 Exploring Line Graphs Use this activity with the “Reindeer Games” article. 1 Look at the graph on page 4. Pretend you are explaining to a new student how to find the value of a point that is located between two lines on the graph. Use the point for the year 1994 as your example. Fill in the blanks in these directions that you might give to the new student: A. Circle the point above the year 1994. This point stands for the number of _________________________ in Svalbard in 1994. B. Look at the numbers along the _______________ side of the graph. For the year 1994, the number at the line above the point must have a value of ___________________ . (The number at the line below the point is _ __________________.) C. The point for the year 1994 is located between the two lines from 1b. Because of where it is located between those two lines, a good estimate of that point’s value would be ____________________________________________ . D. Now, say your answer as a complete sentence: For the year 1994, the population of __________ in Svalbard was about ______________________ . 2 What ideas would you add to the directions in #1 to make it easier for a new student to find the value of a point on a line graph? Share your ideas with a partner. Discuss which of your ideas are alike and which are different. Ask your partner if your ideas make the directions easier to understand. 3 Say you were the owner of an ice cream shop. In which situation would a line graph best be used to show information? (Fill in the circle next to your answer.) A You are keeping a record of the number of cones you sell every day for one month. B You are keeping a record of the amount of chocolate, vanilla, and strawberry ice cream that you sold one Saturday. C You are keeping a record of how much of your total sales is sundaes. D You are keeping a record of which flavor of ice cream is most popular during the summer months. 4 In the space below, explain how you chose your answer for #3. Activity by Dale Beltzner. Photo: Shutterstock. Scholastic Inc. grants teachers permission to reproduce this page. ©2012 by Scholastic Inc. All rights reserved. “Reindeer Games” Comprehension Activity Name _____________________________________