Mathematics at work 12 Measurement and Probability
Specific Curriculum Outcomes
M01 Students will be expected to demonstrate an understanding of the limitations of measuring instruments, including precision, accuracy, uncertainty, and tolerance, and to solve problems.
P01 Students will be expected to analyze and interpret problems that involve probability.
M01 Students will be expected to demonstrate an understanding of the limitations of measuring instruments, including precision, accuracy, uncertainty, and tolerance, and to solve problems.
P01 Students will be expected to analyze and interpret problems that involve probability.
M01 activities
- What's the difference between accuracy and precision? a TEDEd video from Matt Anticole - This video explains the difference between accuracy and precision using the story of William Tell.
- How Accurate are the Pumps in Gas Stations? - Gas pumps show the amount of gas pumped to the thousandths of a litre. How much is that and how is it measured? Pumps are precise to 0.001 litre, because it can measure and record volumes in increments that small. But the pump is not accurate to one thousandth of a litre.
- Measuring Accuracy and Precision from Sarah Carter (@mathequalslove) - Dropping white board markers onto a target and using the data to measure accuracy and precision.
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- Precision and Accuracy Dart Game - A virtual dart game. Try throwing three darts and the computer will calculate your accuracy (how close your worst throw is from the bulls-eye) and precision (the radius of the circle enclosing all your shots). You could use actual suction cup darts on a white board, and then have students take the actual measurements to make this more hands on.
P01 Activities
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- Where would you buy your coffee from? from Krista Harris (@KristaHarris19)
- Can You Recognize Random? - Dan Meyer suggests a video from Brit Cruise to demonstrate how hard it is for humans to create a random list. This video shows why humans are terrible at generating random sequences. Why flipping a coin is different & introduces the concept of frequency stability.
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- Shot at the Glory from John Berray - Have students write the numbers from 1 to 10 on a piece of paper. Beside each number, each student writes down either true or false. The teacher also creates a list of 10 numbers with true and false. Have everyone stand by their desk. The teacher reads their answers off to see which students have the same answer. If a student doesn't have the same answer as the teacher they sit down and if they get the same answer they remain standing. Will anyone make it to the end? What is the probability?
- Counting Principals and The Price is Right from Bob Lochel - What could be more fun than using combinatorial games from The Price is Right to learn about probability!