![Picture](/uploads/2/6/2/1/26215381/439905879.jpg?378)
Curriculum Outcomes
Measurement: Develop spatial sense through direct and indirect measurement.
1. Demonstrate an understanding of the limitations of measuring instruments, including:
• precision
• accuracy
• uncertainty
• tolerance
and solve problems. [C, PS, R, T, V] [ICT: C6–4.4, C6–4.5]
Number: Develop number sense and critical thinking skills.
1. Analyze puzzles and games that involve logical reasoning, using problem-solving strategies. [C, CN, PS, R]
Statistics: Develop statistical reasoning.
1. Solve problems that involve measures of central tendency, including:
• mean
• median
• mode
• weighted mean
• trimmed mean. [C, CN, PS, R]
2. Analyze and describe percentiles. [C, CN, PS, R]
Probability: Develop critical thinking skills related to uncertainty.
1. Analyze and interpret problems that involve probability. [C, CN, PS, R]
Measurement: Develop spatial sense through direct and indirect measurement.
1. Demonstrate an understanding of the limitations of measuring instruments, including:
• precision
• accuracy
• uncertainty
• tolerance
and solve problems. [C, PS, R, T, V] [ICT: C6–4.4, C6–4.5]
Number: Develop number sense and critical thinking skills.
1. Analyze puzzles and games that involve logical reasoning, using problem-solving strategies. [C, CN, PS, R]
Statistics: Develop statistical reasoning.
1. Solve problems that involve measures of central tendency, including:
• mean
• median
• mode
• weighted mean
• trimmed mean. [C, CN, PS, R]
2. Analyze and describe percentiles. [C, CN, PS, R]
Probability: Develop critical thinking skills related to uncertainty.
1. Analyze and interpret problems that involve probability. [C, CN, PS, R]
Things You Need to Know
- Accuracy: the extent to which a measurement is measured and reported correctly.
- Things that can affect accuracy include human error, faulty measuring devices, incorrect calculations/conversions, etc.
- Example: suppose Mr. Scott is 5'11" tall. If someone were to incorrectly measure his height as 5'8", that would be an inaccurate measurement.
- Precision: the degree of exactness to which a measurement is reported
- Things that can affect precision include the scale of the measuring device and human choice of reporting.
- The "degree of precision" is the extent of exactness that the measurement is reported. Typically, the smaller the unit that the measurement is reported, the higher the degree of precision.
- Example: Mr. Scott's height is reported as being about 2 meters tall. The degree of precision is meters, and is not very precise. Now it's reported as 5'11". The degree of precision here is in feet and inches, and is pretty precise. Now it's reported as 1824 mm. The degree of precision here is mm, and is extremely precise.
- Tolerance: the allowance to which a measurement is allowed to change. This is frequently used in manufacturing.
- Tolerance is denoted by using the "plus or minus" sign, ±, followed by the tolerance amount.
- Example: the tolerance when making the waist of a pair of jeans is ± 1/4 inch. If the waist is supposed to be 32", then the pants could be as small as 31 3/4 inches and as large as 32 1/4 inches.
- Probability: the mathematical likelihood of something happening.
- Probability can reported as a fraction, as a ratio, as a decimal, or (most commonly) as a percentage.
- Probability is found by taking the number of possible successful outcomes and putting it in a fraction over the total number of possible outcomes.
- Example: there are 4 white socks, 2 black socks, and 2 green socks in a drawer (total of 8 socks). The probability of picking a white sock from the drawer is 4/8, which is 50%.
- Odds: the ratio of number of possible successful outcomes to number of unsuccessful outcomes
- This is always expressed as a ratio.
- Example: there are 4 white socks, 2 black socks, and 2 green socks in a drawer (total of 8 socks). The odds of picking a green sock from the drawer is 2:6, because there are 2 green socks and 6 other socks in total.
- Tree diagram: a way of visually representing all possible choices that can happen in a game or scenario.
- These are useful for seeing how choices can lead to success or failure, and help you build a strategy.
Interactive Activities
- Plinko - good way to get probability practice
Sample Problems
![]()
|
![]()
|
Class Notes