Extended Mathematics 11 Statistics
Specific Curriculum Outcomes
S01 Analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries.
S02 Demonstrate an understanding of normal distribution, including: standard deviation and z-scores.
S03 Interpret statistical data, using: confidence intervals, confidence levels and margin of error.
S01 Analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries.
S02 Demonstrate an understanding of normal distribution, including: standard deviation and z-scores.
S03 Interpret statistical data, using: confidence intervals, confidence levels and margin of error.
S01 Activities
- Sharing Numbers from Francis Su - The teacher selects a number from 1 to 9 and tells 3 students. Each student has to either add 1 or double the number they've been told to get their number. Then each of them tell 3 other people their number, etc. until everyone in the room had a number. Each student estimates the mean and median of the of numbers in the room then writes their number on the board (or submits it electronically) so that the actual mean and median can be calculated. This is a good problem to get folks thinking like data scientists!
- Paper Airplane Stats from Erick Lee - Students create paper airplanes and fly them to collect data and record it with a Google Form. They then use this data to calculate a variety of measures and create several different types of graphs.
- Boxplot Polygraph Activity on Desmos - Students use statistics vocabulary (mean, quartiles and the 5-number summary) to identify a specific boxplot.
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- Analyzing the Ages of Academy Award Winners from Sarah Carter - Students create a back-to-back stem-and-leaf plot to display the ages of best actor winners from the Academy Awards.
- Data and Standard Deviation from Bryan Anderson - Directions: Using the numbers 1 to 9, using each only once, create a data set of 4 numbers that fit the following criteria: The four numbers have the smallest possible standard deviation: ___ , ___ , ___ , ___. The four numbers have the largest possible standard deviation:___ , ___ , ___ , ___
S02 Activities
- Create a histogram with your students from Post-It - Use Post-it notes to work with your students to create a fun histogram that will help them understand how continuous data can be collected, arranged, and displayed.
- Histogram Polygraph Activity on Desmos - This Custom Polygraph is designed to spark vocabulary-rich conversations about histograms. Key vocabulary that may appear in student questions includes: shape, center, spread, roughly symmetric, skew right, skew left, mean, median, range, peak, unimodal, and bimodal. In the early rounds of the game, students may notice graph features from the list above, even though they may not use those words to describe them. That’s where you can step in. After most students have played 2-3 games, consider taking a short break to discuss strategy, highlight effective questions, and encourage students in their use of increasingly precise academic language.
- Histogram Desmos Activity from David Petro - This is meant to be a consolidation task to be done after the class has been introduced to histograms and the distinction between continuous and discrete data. It starts with two card sorts then there are a few slides to get some idea of the connection of average.
This is part of a bigger activity http://engaging-math.blogspot.ca/2016/12/introducing-histograms.html
- What Does The Normal Distribution Sound Like? Popcorn! - A youtube video that shows popcorn popping alongside a bar graph. You can also use a video showing popcorn popping in a Stir Crazy popcorn popper.
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