TIPS4Math Grade 8 Probability Overall Expectation Students will: • Collect and organize categorical, discrete, or continuous primary data and secondary data and display the data using charts and graphs, including frequency tables with intervals, histograms, and scatter plots (8m65) • Apply a variety of data management tools and strategies to make convincing arguments about data (8m66) • Use probability models to make predictions about real-life events (8m67) Specific Expectations Students will: • 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 (8m68) • Collect and organize categorical, discrete, or continuous primary data and secondary data and display the data in charts, tables, and graphs (including histograms and scatter plots) that have appropriate titles, labels, and scales that suit the range and distribution of data, using a variety of tools (8m70) • Read, interpret, and draw conclusions from primary data and from secondary data, presented in charts, tables, and graphs (including frequency tables with intervals, histograms and scatter plots) (8m73) • Compare, through investigation, the theoretical probability of an event (i.e., the ratio of the number of ways a favourable outcome can occur compared to the total number of possible outcomes) with experimental probability, and explain why they might differ (8m80) • Determine, through investigation, the tendency of experimental probability to approach theoretical probability as the number of trials in an experiment increases, using class-generated data and technology-based simulation models (8m81) • Identify the complementary event for a given event, and calculate the theoretical probability that a given event will not occur (8m82) Lesson Learning Focus Comparing Theoretical and Experimental Probability • Theoretical Probability • • • • EduGAINS-Mathematics Compare, through investigation the theoretical probability of an event with experimental probability Explain why theoretical probability and experimental probability may differ Conduct the same probability experiment with significant trials Investigate the tendency of experimental probability to approach theoretical probability as the number of trials increases Use class- generated data as well as technology-based simulations Specific Expectations 8m68 8m70 8m73 8m80 8m68 8m70 8m73 8m81 Page 1 of 9 TIPS4Math Probability (continued) Lesson Learning Focus Complementary Events • • • • Probability Practice Grade 8 • Understand the meaning of a complementary event Identify the complementary event of a given event Calculate the probability that a given event will not occur Make connections between the probability of an event occurring and the probability of it not occurring Carry out probability experiments and solve problems related to experimental and theoretical probability of events and complementary events Specific Expectations 8m82 8m68 8m70 8m73 8m80 8m81 8m82 Consolidation and Summative Tasks EduGAINS-Mathematics Page 2 of 9 TIPS4Math Comparing Theoretical and Experimental Probability Specific Expectations: 8m68, 8m70, 8m73, 8m80 Learning Focus Minds On • • • Distinguish between experimental and theoretical probability Review representing all the possible outcomes of a probability experiment involving two independent events and determining theoretical probability Review how to determine experimental probability Action • Compare, through • investigation the theoretical probability of an event with experimental probability Explain why theoretical probability and experimental probability may differ EduGAINS-Mathematics Other Resources Blended Learning Teacher Guide: Unit 5, Activity 1: ProbabilityComparing Experimental and Theoretical Probability OERB ID: ELO1477290 Unit 5 Activity 1: Minds On OERB ID: ELO1477160 • Part A Group Work o all possible outcomes for tossing three coins • Part A Anchor Chart o strategies for determining all possible outcomes • Part B Discussion o determine all possible outcomes of flipping a coin and rolling die o theoretical probability of a prime number and a head Unit 5 Activity 1: Action • Odds Are… OERB ID: ELO1413570 o establish the difference between theoretical and experimental probability • What Are the Chances? OERB ID: ELO1411840 o tree diagram o organize outcomes in a systematic list Grade 8 TIPS4RM Grade 8 Unit 6: Probability • Day 1: Number Triangles • Day 2: Experimental and Theoretical Probability (Part 1) • Day 3: Experimental and Theoretical Probability (Part 2) Homework Help • Glossary: Probability mathies • Set Tool OERB • Dice Throw and Coin Toss o OERB ID: ELO1050760 • To Win or Not to Win! o OERB ID: ELO1413550 Gizmos • Spin the Big Wheel! (Probability) Learn Alberta Interactives • Exploring Probability Math is Fun • Probability Page 3 of 9 TIPS4Math Grade 8 Comparing Theoretical and Experimental Probability (Continued) Specific Expectations: 8m68, 8m70, 8m73, 8m80 Learning Focus Action Consolidation EduGAINS-Mathematics Blended Learning • Discussion o reflect on the effect of increasing the number of trials on experimental probability Unit 5 Activity 1: Consolidation • Group Work o Green is a Go o game to explore experimental versus theoretical probability and effect of trial size • Assignment 1: Checkpoint for Understanding Probability o theoretical probability Other Resources Page 4 of 9 TIPS4Math Theoretical Probability Specific Expectations: 8m68, 8m70, 8m73, 8m81 Learning Focus Minds • Conduct a probability experiment with few trials On Action • Conduct the same probability • Grade 8 experiment with significant trials Investigate the tendency of experimental probability to approach theoretical probability as the number of trials increases o Use class- generated data as well as technology-based simulations Blended Learning Other Resources Gizmos: • Independent and Dependent Events • Geometric Probability • Theoretical and Experimental Probability Consolidation EduGAINS-Mathematics Page 5 of 9 TIPS4Math Specific Expectations: 8m82 Learning Focus Complementary Events Other Resources Blended Learning Teacher Guide Unit 5, Activity 2: ProbabilityComplementary Events OERB ID: ELO1477290 Unit 5 Activity 2: Minds On Minds • Determine the theoretical probability of a variety of events OERB ID: ELO1477170 On • Discussion theoretical probability o justify if you’ll win a prize Unit 5 Activity 2: Action Action • Understand the meaning of a complementary event • Anchor Chart o strategies for determining possible • Identify the complementary outcomes event of a given event • Calculate the probability that a • What Aren’t the Chances? OERB ID: ELO1413560 given event will not occur • Make connections between the o complementary events probability of an event occurring and the probability of it not occurring Unit 5 Activity 2: Consolidation Consolidation • Assignment 1: Bingo! o simulation to determine experiment probability of getting a multiple of 5; conduct 20 trials EduGAINS-Mathematics Grade 8 TIPS4RM Grade 8 Unit 6: Probability • Day 4: Theoretical and Experimental Probability of Events (Part 3) • Day 5: Check Point • Day 6: Revisiting Number Triangles Homework Help • Glossary: Experimental Probability mathies • Set Tool Gizmos • Probability Simulations Page 6 of 9 TIPS4Math Grade 8 Probability Practice Specific Expectations: 8m68, 8m70, 8m73, 8m80, 8m81, 8m82 Learning Focus Blended Learning Other Resources Minds • Design a probability experiment On Action • Carry out probability experiments and solve problems related to experimental and theoretical probability of events and complementary events Consolidation Consolidation and Summative Tasks Specific Expectations:8m68, 8m70, 8m73, 8m80, 8m81, 8m82 Blended Learning EduGAINS-Mathematics Other Resources Page 7 of 9 TIPS4Math Comparing Theoretical and Experimental Probability Resource URL Teacher Guide: Unit 5, Activity 1: Probability-Comparing Experimental and Theoretical Probability Unit 5 Activity 1: Minds On Odds Are… What Are the Chances? Unit 5 Activity 1: Action Unit 5 Activity 1: Consolidation Green is a Go Assignment 1: Checkpoint for Understanding Probability TIPS4RM Grade 8 Unit 6: Probability Homework Help: Glossary: Probability mathies: Set Tool OERB: Dice Throw and Coin Toss OERB: To Win or Not to Win! Gizmos: Spin the Big Wheel! (Probability) Learn Alberta Interactives: Exploring Probability Math is Fun: Probability EduGAINS-Mathematics Grade 8 https://download.elearningontario.ca/repository/14/1477290000/GRD8MTHEU06A06/content.html https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/content.html https://download.elearningontario.ca/repository/14/1413570000/Jake_Gr%208%20Probability%20Odds%20Are.html https://download.elearningontario.ca/repository/14/1411840000/LO1151.html https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/content_2.html https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/content_3.html https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/docs/ greenisago.pdf https://download.elearningontario.ca/repository/14/1477160000/GRD8MTHEU05A01/assignment.html http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/ Unit6_Probability.pdf https://homeworkhelp.ilc.org/tools/glossary/index.php?glossary_id=3854 http://mathies.ca/learningTools.php#Ss1 https://download.elearningontario.ca/repository/1050760000/Probability%20of%20Outcomes.html https://download.elearningontario.ca/repository/14/1413550000/Jake_Gr%208_Probability_1_To_Win_or_Not_to_Win.html https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=1015 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 https://www.mathsisfun.com/data/probability.html Page 8 of 9 TIPS4Math Theoretical Probability Grade 8 Resource URL Gizmos: Independent and Dependent Events Gizmos: Geometric Probability Gizmos: Theoretical and Experimental Probability https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=249 https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=138 https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=310 Complementary Events Resource URL Teacher Guide: Unit 5, Activity 2: ProbabilityComplementary Events Unit 5 Activity 2: Minds On https://download.elearningontario.ca/repository/14/1477290000/GRD8MTHEU06A06/content_2.html Unit 5 Activity 2: Action What Aren’t the Chances? Assignment 1: Bingo! TIPS4RM Grade 8 Unit 6: Probability Homework Help: Glossary: Experimental Probability mathies: Set Tool Gizmos: Probability Simulations EduGAINS-Mathematics https://download.elearningontario.ca/repository/14/1477170000/GRD8MTHEU05A02/content.html https://download.elearningontario.ca/repository/14/1477170000/GRD8MTHEU05A02/content_2.html https://download.elearningontario.ca/repository/14/1413560000/Jake_Gr%208%20Probability%202%20What%20Aren’t%20the%20Chances.html https://download.elearningontario.ca/repository/14/1477170000/GRD8MTHEU05A02/assignment.html http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade8English/ Unit6_Probability.pdf https://homeworkhelp.ilc.org/tools/glossary/index.php?glossary_id=3607 http://mathies.ca/learningTools.php#Ss1 https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=249 Page 9 of 9
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