Saskatchewan Common Mathematics Assessments Post Assessment Outcome: SP5.3 Describe, compare, predict, and test the likelihood of outcomes in probability situations. 1. True or False: Indicate whether the following are examples of an outcome. _____a) choosing clothes to wear Level 1 _____b) rolling a 6 on a die 2. Explain your answer(s) in question 1. 3. You are rolling two 6 sided dice. Indicate which of the following are certain, possible, or impossible. a) The sum of the dice will be between and including 2 and 12. ________________ b) The sum of the dice will be 14.________________ c) Both dice represent odd numbers ____________________ d) You will roll doubles.____________ 4. Describe each event. Indicate which of the following are certain, possible, or impossible. a. It will rain tomorrow. _______________ Level 2 b. Someone in the class is ten years old.__________________ c. Someone in your class will visit planet Mercury._________________ 5. Describe a situation in your classroom where the outcome is possible. 6. You are playing Monopoly TM with your friends and your token is on Luxury Tax as shown below. The number of spaces your token moves in a clockwise direction is the sum of two regular dice. Describe a situation which would be impossible? Why? 7. If you flip a coin, how likely is it that you will flip “heads” compared to flipping “tails”? (check one) ____more likely ____ equally likely ____ less likely Level 3 8. Matt and Shawn have been flipping a quarter and guessing whether it will land on “heads” or “tails”. “Tails” has been flipped five times in row. How likely is it that the next flip will be “tails”? Explain your thinking. 9. Design a spinner so that when the pointer is spun: a. Landing on yellow is most likely b. Landing on purple is impossible c. Landing on green and landing on blue are equally likely d. Landing on red is least likely Explain your thinking. Level 4 Teacher Section Teacher Notes: Question Indicator Level Answer Key: Answer 1a 1b 2 3a 3b 3c 3d 4a 4b 4c 5 6 7 8 9 N/A N/A N/A SP5.3a SP5.3a SP5.3a SP5.3a SP5.3a SP5.3a SP5.3a SP5.3a SP5.3a SP5.3c SP5.3c SP5.3d 1 1 1 2 2 2 2 2 2 2 2 2 3 3 4 False True Rolling a 6 is a result of an event; choosing clothes is an action Certain Impossible Possible Possible Possible Certain Impossible One team will win the soccer game at recess Boardwalk Equally likely Equally likely – independent event Yellow is the biggest, red is the smallest, green and blue are the same size Outcome: SP5.3 Describe, compare, predict, and test the likelihood of outcomes in probability situations. Description of Levels: (based on Marzano, 2007) up to Level 1 up to Level 2 up to Level 3 up to Level 4 There is a partial understanding of some of the simpler details and processes. Prior knowledge is understood. No major errors or omissions regarding the simpler details or processes, but major errors or omissions regarding the complex processes may be present. S.P.5.3 a, b Categorize situations involving probabilities as certain, possible or impossible. Design and conduct experiments to determine if an outcome is certain, possible or impossible. No major errors or omissions regarding any of the information and/or processes that were explicitly taught. This is the target level for proficiency. S.P.5.3 c Identify possible outcomes and classify as less likely, equally likely or more likely and explain reasoning. In addition to level 3 performance, indepth inferences and applications go beyond what was explicitly taught. Can explain what an outcome is. Indicators and Learning Targets for each Level: Student-friendly descriptions of learning targets. I can explain what an outcome is. I can sort situations into certain, possible or impossible probabilities. I can make and do probability experiments. I can select, name and explain why outcomes are; as less likely, equally likely or more likely. Consider the probability of an event occurring and discuss its implications. I understand how the probability of an event can affect me and my community.
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