TIPS4Math Grade 5 Probability Overall Expectations Students will: • Read, represent, compare, and order whole numbers to 100 000, decimal numbers to hundredths, proper and improper fractions, and mixed numbers (5m8) • Collect and organize discrete or continuous primary data and secondary data and display the data using charts and graphs, including broken-line graphs (5m71) • Read, describe, and interpret primary data and secondary data presented in charts and graphs, including broken-line graphs (5m72) • Represent as a fraction the probability that a specific outcome will occur in a simple probability experiment, using systematic lists and area models (5m73) Specific Expectations Students will: • Represent, compare, and order fractional amounts with like denominators, including proper and improper fractions and mixed numbers, using a variety of tools and using standard fractional notation (5m16) • Collect data by conducting a survey or an experiment to do with themselves, their environment, issues in their school or community, or content from another subject, and record observations or measurements (5m75) • Collect and organize discrete or continuous primary data and secondary data and display the data in charts, tables, and graphs (including broken-line graphs) that have appropriate titles, labels, and scales that suit the range and distribution of the data, using a variety of tools (5m76) • Read, interpret, and draw conclusions from primary data and from secondary data, presented in charts, tables, and graphs (including broken-line graphs) (5m79) • Determine and represent all the possible outcomes in a simple probability experiment, using systematic lists and area models (5m82) • Represent, using a common fraction, the probability that an event will occur in simple games and probability experiments (5m83) • Pose and solve simple probability problems, and solve them by conducting probability experiments and selecting appropriate methods of recording the results (5m84) Lesson Possible Outcomes Learning Focus • • • EduGAINS-Mathematics Understand and explain the meaning of probability and possible outcomes Determine and represent all the possible outcomes (e.g., coin- heads/tails, number cube- 1, 2, 3, 4, 5, 6, spinner – colours) o Use systematic lists and area models Predict an outcome for a simple probability experiment and reason why (e.g., if there are 5 red marbles and 2 blue marbles in a bag, how likely will it be that a red marble is picked? A blue marble? A green marble?) to establish the relevance of the possible outcomes Specific Expectations 5m82 Page 1 of 9 TIPS4Math Probability (Continued) Lesson Recording Experimental Probability Results Common Fractions to Represent Probability Learning Focus • • • • • • • • • • Solve Probability Problems • • • Pose a Probability Problem Grade 5 • • Predict the possible outcome of a simple probability experiment by reflecting on the possible outcomes Conduct a simple probability experiment Record results of experiment Explore and understand student generated recording methods of a simple probability experiment Investigate different ways to record results (systematic lists, area models) Establish the relationship between the number of possible outcomes, the number of desirable outcomes and the fraction representation of probability (e.g., equally partitioned coloured spinner has 4 colours- red is ¼) Represent the outcome of a probability experiment using fractions Predict the possible outcome of a simple probability experiment by reflecting on the possible outcomes Conduct a simple probability experiment Select appropriate methods of recording the results of experiment (e.g., tally chart, line plot, bar graph) Represent the probability of each event as a fraction Solve a problem by conducting a probability experiment and selecting an appropriate method of recording the results then representing outcomes using fractions Select appropriate methods of recording results and use fractions to Specific Expectations 5m75 5m76 5m79 5m82 5m16 5m82 5m83 5m75 5m76 5m79 5m82 5m83 5m84 Pose a simple probability problem, reflect on all possible outcomes, make a 5m75 prediction, design and conduct an experiment 5m76 Select appropriate methods of recording results and use fractions to explain 5m79 the outcome of the experiment 5m82 5m83 5m84 Consolidation and Summative Tasks EduGAINS-Mathematics Page 2 of 9 TIPS4Math Specific Expectations: 5m82 Learning Focus Possible Outcomes Blended Learning Teacher Guide Unit 5 Activity 3: Probability OERB ID: ELO1476850 Unit 5 Activity 3: Minds On Minds • Review probability vocabulary OERB ID: ELO1476760 On • Weather Forecast video • Probability Line Action • Understand and explain the meaning Unit 5 Activity 3: Action of probability and possible outcomes OERB ID: ELO1476760 • Probability • Determine and represent all the o 1 – Introduction possible outcomes (e.g., coin- heads/ o 2 – Describing Probability of an tails, number cube- 1, 2, 3, 4, 5, 6, spinner – colours) Outcome • Use systematic lists and area models • Spinners video • Exploring Probability • Predict an outcome for a simple probability experiment and reason why (e.g., if there are 5 red marbles and 2 blue marbles in a bag, how likely will it be that a red marble is picked? A blue marble? A green marble?) to establish the relevance of the possible outcomes Unit 5 Activity 3: Consolidation Consolidation • Discussion – spinner /probability line • Assignment 1: Probability Spinner Problems EduGAINS-Mathematics Grade 5 Other Resources Guide to Effective Instruction: Data Management and Probability Grades 4 – 6 • pp 81 – 92: Grade 5 Learning Activity: Lost Socks NCTM Illuminations • What are my chances? • Adjustable Spinner Page 3 of 9 TIPS4Math Recording Experimental Probability Results Specific Expectations: 5m75, 5m76, 5m79, 5m82 Learning Focus Blended Learning Teacher Guide Unit 5 Activity 3: Probability OERB ID: ELO1476850 Minds On Action • Review possible outcomes in probability experiments • Predict the possible outcome of a simple probability experiment by reflecting on the possible outcomes Conduct a simple probability experiment Record results of experiment Explore and understand student generated recording methods of a simple probability experiment Investigate different ways to record results (systematic lists, area models) • • • • Grade 5 Unit 5 Activity 3: Action OERB ID: ELO1476760 • Probability o 3 – Conducting a Probability Experiment – Marbles o 4 – Conducting a Probability Experiment – Spinner o 5 - Conclusion • Toads and Vines – Level 1 • Check Your Understanding Questions • Discussions – Area Models for Probability Other Resources Guide to Effective Instruction: Data Management and Probability Grades 4 – 6 • pp 81 – 92: Grade 5 Learning Activity: Lost Socks mathies • Set Tool NCTM Illuminations • What are my chances? • Adjustable Spinner Consolidation EduGAINS-Mathematics Page 4 of 9 TIPS4Math Common Fractions to Represent Probability Specific Expectations: 5m16, 5m82, 5m83 Learning Focus Minds • Review possible ways of recording results of a probability experiment On Action • Establish the relationship between the number of • • • • • Grade 5 Blended Learning Other Resources mathies • Set Tool possible outcomes, the number of desirable outcomes and the fraction representation of probability (e.g., equally partitioned coloured spinner has 4 colours- red is ¼) Represent the outcome of a probability experiment using fractions Predict the possible outcome of a simple probability experiment by reflecting on the possible outcomes Conduct a simple probability experiment Select appropriate methods of recording the results of experiment (e.g., tally chart, line plot, bar graph) Represent the probability of each event as a fraction Consolidation Solve Probability Problems Specific Expectations: 5m75, 5m76, 5m79, 5m82, 5m83, 5m84 Learning Focus Minds • Given a probability expressed as a fraction explain and describe in words its meaning On Action • Solve a problem by conducting a probability • Blended Learning Other Resources experiment and selecting an appropriate method of recording the results then representing outcomes using fractions Select appropriate methods of recording results and use fractions to explain the outcome of the experiment. Consolidation EduGAINS-Mathematics Page 5 of 9 TIPS4Math Pose a Probability Problem Specific Expectations: 5m75, 5m76, 5m79, 5m82, 5m83, 5m84 Learning Focus Blended Learning Teacher Guide Unit 5 Activity 3: Probability OERB ID: ELO1476850 Minds On Action • Review solving probability problems • Pose a simple probability problem, reflect on all possible outcomes, make a prediction, design and conduct an experiment select appropriate methods of recording results and use fractions to explain the outcome of the experiment • Grade 5 Consolidation Other Resources Guide to Effective Instruction: Data Management and Probability Grades 4 – 6 • pp 81 – 92: Grade 5 Learning Activity: Lost Socks mathies • Set Tool NCTM Illuminations • What are my chances? • Adjustable Spinner Unit 5 Activity 3: Consolidation OERB ID: ELO1476760 • Assignment 2: Create Your Own Probability Experiment Consolidation & Summative Tasks Specific Expectations: 5m16, 5m75, 5m76, 5m79, 5m82, 5m83, 5m84 Blended Learning EduGAINS-Mathematics Other Resources Page 6 of 9 TIPS4Math Possible Outcomes Resource Teacher Guide: Unit 5 Activity 3: Probability Unit 5 Activity 3: Minds On Unit 5 Activity 3: Action Probability Exploring Probability Unit 5 Activity 3: Consolidation Assignment 1: Probability Spinner Problems Guide to Effective Instruction: Data Management and Probability Grades 4 – 6 NCTM Illuminations: What are my chances? NCTM Illuminations: Adjustable Spinner EduGAINS-Mathematics Grade 5 URL https://download.elearningontario.ca/repository/14/1476850000/GRD5MTHEU06A08/content_3. html https://download.elearningontario.ca/repository/14/1476730000/GRD5MTHEU05/GRD5MTHEU05/ GRD5MTHEU05A03/content.html https://download.elearningontario.ca/repository/14/1476730000/GRD5MTHEU05/GRD5MTHEU05/ GRD5MTHEU05A03/content_2.html http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=22 http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.STAT&ID2=AB. MATH.JR.STAT.PROB&lesson=html/object_interactives/probability/explore_it.html https://download.elearningontario.ca/repository/14/1476730000/GRD5MTHEU05/GRD5MTHEU05/ GRD5MTHEU05A03/content_3.html https://download.elearningontario.ca/repository/14/1476730000/GRD5MTHEU05/GRD5MTHEU05/ GRD5MTHEU05A03/assignment.html http://oame.on.ca/eduproject/ontariomathedresources/files/Data%20Management%20Probability%204-6.pdf http://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/6-8/WhatAreMyChances-AS.pdf https://illuminations.nctm.org/adjustablespinner/ Page 7 of 9 TIPS4Math Recording Experimental Probability Results Resource URL Teacher Guide: Unit 5 Activity 3: Probability Unit 5 Activity 3: Action Probability Toads and Vines Guide to Effective Instruction: Data Management and Probability Grades 4 – 6 mathies: Set Tool NCTM Illuminations: What are my chances? NCTM Illuminations: Adjustable Spinner Grade 5 https://download.elearningontario.ca/repository/14/1476850000/GRD5MTHEU06A08/content_3. html https://download.elearningontario.ca/repository/14/1476730000/GRD5MTHEU05/GRD5MTHEU05/ GRD5MTHEU05A03/content_2.html http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=22 http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.STAT&ID2=AB. MATH.JR.STAT.PROB&lesson=html/object_interactives/probability/use_it.html http://oame.on.ca/eduproject/ontariomathedresources/files/Data%20Management%20Probability%204-6.pdf http://mathies.ca/learningTools.php#Ss1 http://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/6-8/WhatAreMyChances-AS.pdf https://illuminations.nctm.org/adjustablespinner/ Common Fractions to Represent Probability Resource URL mathies: Set Tool EduGAINS-Mathematics http://mathies.ca/learningTools.php#Ss1 Page 8 of 9 TIPS4Math Pose a Probability Problem Resource URL Teacher Guide: Unit 5 Activity 3: Probability Assignment 2: Create Your Own Probability Experiment Guide to Effective Instruction: Data Management and Probability Grades 4 – 6 mathies: Set Tool NCTM Illuminations: What are my chances? NCTM Illuminations: Adjustable Spinner EduGAINS-Mathematics Grade 5 https://download.elearningontario.ca/repository/14/1476850000/GRD5MTHEU06A08/content_3. html https://download.elearningontario.ca/repository/14/1476730000/GRD5MTHEU05/GRD5MTHEU05/ GRD5MTHEU05A03/assignment.html http://oame.on.ca/eduproject/ontariomathedresources/files/Data%20Management%20Probability%204-6.pdf http://mathies.ca/learningTools.php#Ss1 http://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/6-8/WhatAreMyChances-AS.pdf https://illuminations.nctm.org/adjustablespinner/ Page 9 of 9
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