Hands On: Possible or Impossible Objective Determine if an event is possible or impossible. Lesson Planning Using graphic organizers, such as the one below, will help children learn the meaning and uses of new vocabulary and to analyze the relationships between and among vocabulary. NCTM Standards Data Analysis and Probability Develop and evaluate inferences and predictions that are based on data. possible Essential Question How can you tell if an event is possible or impossible? About the Math • An event is impossible if it can never occur. An event is possible if there is a chance it may occur. An event is certain if it will always occur. • Help children relate probability to their everyday lives by encouraging them to play games with number cubes or spinners. Point out that the chance of rolling any one number on a cube labeled 1–6 is 1 out of 6. The chance of landing on one color on a 4-color spinner (equal sections) is 1 out of 4. Daily Routine 9.3 Problem of the Day Emma’s family goes for a hike in the forest. Emma puts 2 oranges and 1 juice box in her backpack for a snack. Is it possible or impossible for her to pull an orange from her backpack? possible For a complete solution, see the back of the TE. Calendar Activity • Spiral Review September Sunday 6 13 20 27 Monday Tuesday Wednesday Thursday Friday Saturday 7 14 21 28 1 8 15 22 29 2 9 16 23 30 3 10 17 24 4 11 18 25 5 12 19 26 S how children this month’s calendar. Ask, If you close your eyes and point to a date, is it possible or impossible to choose number 1? 31? 41? Materials For the teacher a bag, large red, blue, green, and yellow bear counters 10–15 minutes Engage and Explore Discuss the meanings of certain, possible, and impossible. Provide examples and have children brainstorm certain, possible, and impossible events. Ask, Is it certain to be dark outside at night? Is it possible for a 6 year old to have a fifth birthday next year? Is it possible to rain tomorrow? Place some blue and yellow bear counters in a bag. Ask, Is it certain, possible, or impossible to pull a blue bear from the bag? What about a red bear? Have volunteers pull bears to check. Give groups a bag and bear counters of different colors. Each child takes a turn placing bears in the bag while other children decide if it is possible or impossible to pull each color. Explain •If a bag has blue, yellow, and green bears in it, what colors are possible to pull from the bag? blue, yellow, green What colors are impossible? all other colors Are any colors certain? no Elaborate and Explore Have children watch as you place red and yellow bears in a bag. Have children tell if it is possible or impossible to pull each color from the bag. 1. green 2. yellow impossible 3.red possible 4. blue possible impossible 193A Chapter 9 Common CommonTG MXENL09ATE12_U3C09L3NT_193A-193B2 2 8/9/07 6:27:56 PM Differentiated Instruction Learn Math Vocabulary 10–15 minutes Check Prior Knowledge: Assess children’s understanding of things that are possible or impossible. Ask the following questions. Have children raise a hand if an event is possible: 1. A fish can swim. possible 3. A dinosaur can sing. impossible 2. A snowman can melt. possible 4. A cat can fly. impossible Comprehension: Tell children that if something can happen, then it is possible, and that if something is sure to happen, then it is certain. Explain that the difference between possible and certain is that when something is possible, it may happen but it isn’t sure to happen. If something is certain, it is sure to happen. If something is impossible, it is sure not to happen. Have children raise a hand if the following things are certain to happen. Have children say impossible aloud if the event is sure not to happen. 1. The sun will rise in the morning. 2. The bell will ring at the end of the school day. 3. Pigs can fly. impossible 4.Ice cream will never melt in the heat. impossible For Beginning, Intermediate, and Advanced activities, see the ELL Kit. Name ELL Math LanguageLesson 9.39.3 Learn Math Language: Possible If an event is possible, it means it can happen. Is it possible to pull a from the bag? 1. possible. It is not possible. 2. possible. It is not possible. 3. possible. It is not possible. 4. possible. It is not possible. LS56 Math Language © Harcourt ¥ Grade 1 Objective Model possible and impossible events. Materials For each group 10–15 minutes Visual, Kinesthetic 6 index cards, 3 labeled “possible,” 3 labeled “impossible”; crayons; red, blue, and green connecting cubes Some children may mix up possible and impossible. •Review the meanings of possible and impossible. Emphasize that impossible means “not possible.” •Have children draw a red, blue, or green cube on an “impossible” and “possible” index card. •Ask children to take turns using connecting cubes to model each card for their group. For example, for the card “[blue cube] impossible,” they may make a pile with only green and red cubes. Intervention, Strategic Skills For more help, use S15, S16. For practice, return to page 194. Objective Model and identify possible and impossible events with numbers and figures on spinners. 10–15 minutes Visual, Kinesthetic Materials For partners Spinners (see Teacher Resource Book) •Have partners identify possible and impossible events on various spinners. Partners label a 3–section spinner 1, 2, and 3. Then children write two sentences describing numbers that are possible and impossible to land on. (For example, It is possible to land on 2; it is impossible to land on 4.) •Have children draw a rectangle, circle, triangle, and a square on a 4–section spinner and write sentences describing possible and impossible events. Challenge each child to make his or her own spinner and tell possible and impossible events to a partner. Lesson 9.3 193B MXENL09ATE12_U3C09L3NT_193A-193B3 3 Common CommonTG 8/9/07 6:29:03 PM Lesson 9.3 Name Possible or Impossible Vocabulary OBJECTIVE • Determine if an event is possible or impossible. You can tell if an event is possible or impossible. Lesson Organizer It is possible to pull a blue bear. Vocabulary Power, p. 193A possible, impossible Materials For each child crayons Lesson Resources ELL Kit Teacher Guide See Investigate the Lesson Concept, p. 193A. See ELL Language Support, p. 193B. Is it possible or impossible to pull a the ? Circle the answer. 1. Quick Review Write how many. from 2. 2. 2 circles possible possible impossible impossible 3. 4. Explore Use these questions to build understanding. Math Conversation Reasoning • Have children use a paper bag and bear counters to solve and check each exercise. possible possible impossible impossible Take the red bear out of the bag before letting someone pull a bear out. Look at Exercise 4. Explain how to make it from the . certain to pull a © Harcourt What would you put in a bag so that it is • Ask, possible to pull a green or red bear counter? Chapter 9• Lesson 3 one hundred ninety-three a green bear and a red bear counter • How could you show a classmate what impossible means? Possible answer: Show a bag Name Reteach 9.3 6/18/07 5:06:59 PM Practice/homework 9.3 Lesson 9.3 Name Possible or Impossible Check for Understanding • Use Exercises 3 and 4 as every-child response. 193 0DF MXENL09ASE1X_U3C09L03.indd 193 with only paper clips in it and tell him or her that it is impossible to pull a crayon from the bag. Connect Discuss Exercises 1–2. It is impossible to pull a green bear. CommonTGA NL Common NLTGA 1. 0 triangles possible impossible You can tell if an event is possible or impossible. It is possible to pull a bear. It is impossible to pull a cube. Possible or Impossible Color the cubes to make each sentence true. 1. It is possible to pull a blue cube. 2. It is impossible to pull a red cube. Intervention a child misses 3 and 4 …Intervene with • Reteach Activity, TE p. 193B • Reteach 9.3 Intervention, On-Level Skill L40 • Summarize Use Talk Math to focus on children’s understanding of the Essential Question. Check children’s work. Circle things that are possible. Mark an X on things that are impossible. Use 3. It is possible to pull a yellow cube. to act it out if you need to. Check children’s work. 4. It is impossible to pull a blue cube or a green cube. Check children’s work. Problem Solving 1. Wade could pull 1 bear from the bag. Check children’s work. is impossible. Draw an X on bowl where pulling a is certain. 5. Circle the bowl where pulling a 2. Wade could pull 1 penny from the bag. 3. Wade could pull 1 cube from the bag. 4. Wade could pull 1 marble from the bag. 193 Chapter 9 RW56 MXENL08AWK1X_RT_CH09_L3.indd 1 Common CommonTG MXENL09ATE12_U3C09L3W_193-194.in2 2 PW56 Reteach Practice © Harcourt • Grade 3 © Harcourt • Grade 1 6/8/07 3:50:18 PM 8/9/07 6:30:16 PM Practice Point out that if it is possible to pull a certain color cube from a bag, then at least one cube in the bag must be that color. If it is impossible, then no cubes can be that color (that color will never be pulled). If all the cubes in the bag are the same color, that color will always be pulled. Color the cubes to make each sentence true. Check children’s work. 1. It is possible 2. It is impossible to pull a red to pull a yellow cube. cube. The coloring must not include yellow cubes. The coloring must include at least 1 red cube. Problem Solving Reasoning 3. It is impossible Review the definitions of certain and impossible with children before they solve the problem. 4. It is possible to pull a blue cube. to pull a green cube or a red cube. The coloring must not include blue cubes. For the advanced learner, see Advanced Learners activity, p. 193B. The coloring must include at least 1 green and 1 red cube. Closure Today we learned how to tell if an event is possible or impossible. is impossible. Draw an X on the bag where pulling a is certain. 5. Circle the bag where pulling Assess Explain why it is possible or impossible to pull a green cube from a bowl of red and green cubes. Is it possible or impossible to pull a blue cube from the bowl? impossible Mixed Review and Test Prep Write the number. Possible answer: The first, second, and fourth bags. Each of those bags has a blue bear in it so it is possible to pull it. 194 one hundred ninety-four MXENL09ASE1X_U3C09L03.indd 0DF 194 MXENL08AWK1X_PS_C09_L3.indd Page 56 5/21/07 9:50:12 AM naren /Volumes/ju107/HCSC026/Enrich_G1_indd%0/Book_pages/Workbook_pages/National/MX... MXENL08AWK1X_EN_C09_L03.indd Page 56 5/6/07 7:12:20 PM anil Enrich 9.3 Name Lesson 9.3 Possible or Impossible the bag. from Check children’s work. Children must not color any of the crayons purple. 2. It is impossible to pull a purple crayon. Draw and color to solve. Check children’s drawings. Children must color at least 1 ball orange and color no balls blue. but impossible to pull a . 1. Will you color any crayons red? Circle. yes no 2. Will you color any crayons green? Circle. yes no 4. Paul is eating grapes from a bowl. It is possible to pull a green grape. It is also possible to pull a purple grape. Color Paul’s grapes. Grapes should be colored green and purple. make it impossible to get a banana. Draw fruit to make it possible to get an orange. Children should draw at least 1 new orange. Stretch Your Thinking Draw a bag with 6 marbles in it. Then write your own problem like Exercise 3. Check children’s work. Pictures will vary. EW56 MXENL09ATE12_U3C09L3W_193-194.in3 A 0 seagulls C 5 seagulls B 3 seagulls D 6 seagulls Nora’s Crayons 5. Challenge Look at the picture below. Cross out fruit to . Color them so that is it possible to blue 11:55:57 AM 3. Color the crayons in Nora’s box. Color the crayons to make the story true. pull an orange 4. twenty 20 Problem Solving Lesson 9.3 9.3 Nora is handing out crayons. It is impossible to pull a red crayon. It is possible to pull a green crayon. impossible 3. Draw 6 3. eleven 11 /Volumes/ju101/HCSC004/HCSC_indd%0/Anc_G1_NL_Chap /Chap_G1_09 How can you color the crayons in Nora’s box? possible 2. four 4 Possible or Impossible Read the story. Circle possible or impossible. 1. Jake pulled 9 Name 6/22/07 1. fourteen 14 5.There are 3 seagulls on the beach. 3 more seagulls join them. How many seagulls are on the beach in all? © Harcourt TAKE HOME ACTIVITY • Let your child place three forks and two spoons in a paper bag. Ask your child to tell if it is possible or impossible to pull a spoon from the bag and to explain his or her answer. Ask the same question about forks. Repeat the entire activity with five spoons in the bag, and then with only forks, and other combinations of forks and spoons. 3 Enrich © Harcourt • Grade 1 PS56 3. No crayons should be red. Some crayons should be green. Common CommonTGA NL NLTGA From which bags is it possible to pull a ? Explain. 9.3 REMEMBER! 9.3 worksheet on page 193B Practice Workbook p. SR14 Lesson 9.3 194 Problem Solving © Harcourt • Grade 1 Common CommonTG 8/9/07 6:30:45 PM