6.SP.4: Demonstrate an understanding of probability by identifying all…
Demonstrate an understanding of probability by identifying all possible outcomes of a probability experiment, differentiating between experimental and theoretical probability, determining both, and comparing experimental results with the theoretical probability.
The Manitoba Mathematics, Kindergarten to Grade 8 outcome 6.SP.4 (Statistics and Probability) for Grade 6 says: “Demonstrate an understanding of probability by identifying all possible outcomes of a probability experiment, differentiating between experimental and theoretical probability, determining both, and comparing experimental results with the theoretical probability.” This Fieldbook unit teaches it hands-on, with everyday materials and a printable teacher guide and student sheet for every lesson. Official wording: Manitoba Mathematics, Kindergarten to Grade 8.
Is It Fair? Chance and Probability Grades 6–7
Is a six harder to roll? Which bag gives the best chance of a red? Why does horse 7 always win? Can you design a fair game? Four lessons with dice, coins, counters and spinners where students test their hunches and find out what chance really does.
- Is a six harder to roll? 50–60 min
Teams roll a die 30 times and get lopsided results, then pool the whole class's rolls and watch every face settle close to one-sixth. Students place events on a probability scale from 0 to 1, write probabilities as fractions, decimals and percents, and explain why experimental probability gets closer to theoretical probability with more trials.
- Which bag would you pick from? 50–60 min
To win a prize you must pull a red counter from one of four bags. Teams find that the bag with the most red counters gives the worst chance, and that two bags with different numbers of counters give exactly the same chance. Students find and compare probabilities, use the complement, and test their predictions by drawing with replacement.
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