How many valentines are exchanged if each of five friends gives a valentine to each of their other friends? Reflect on your solution, compare it with some others listed, and think about how you would solve a similar problem for more people.
Discover a fourth spatial dimension by using analogies (point, line and plane) from lower dimensions. Model objects of lower dimensions to gain understanding of a hypercube, which exists in the fourth dimension.
You took four snapshots of some geometric shapes that you saw on your train trip around a circular track. You dropped the pictures and got them mixed up, and now you must imagine your trip to put them back in order.
Study inscribed angles in semicircles and quarter-circles. What conjectures can you make about the measure of an inscribed angle in semi- or quarter-circles?
The bank is offering four special savings plans for new customers. Use the interest rate calculator to determine the best offer, taking variables like principal and compounding into account.
Answer the journal prompts, including reflections from the workshops and your own classroom. The journal (requires a login) will save your entries for 120 days after you register, however you can print or transfer your entries to your own computer.
Observe as a sheet of letter-sized paper is cut and assembled to form a rectangular prism, a triangular prism and a cylinder. Which object would contain the greatest volume?
Did you know that there are other temperature scales besides Fahrenheit and Celsius? Read the descriptions of all the scales and then match the scale to the correct thermometer.
A limerick is a very funny piece of nonsense verse with its own special pattern of rhyme and rhythm. Use this tool to choose phrases to create your own limerick that follows the pattern.
Create line plots that have a mean of 5 but different deviations from the mean. Notice that the total deviation above the mean must equal the total deviation below the mean.
Consider two graphs representing the number of people present at two different locations over the course of the day. Interpret the graphs to guess the locations.
A line plot may not be a useful graph for investigating variation so we must come up with a new representation based on groups of data. Construct a stem and leaf plot from a set of 26 data values.
A tree diagram is a helpful tool for determining theoretical or mathematical probabilities. Toss a coin and watch as branches represent a toss of either head or tails.
Students have used three non-standard measuring tools to estimate the length of an ant tunnel. Think about the problem-solving aspect of this activity as you compare their estimates.
Compare your recall of a list of non-words versus a list of words in timed sessions. Consider whether or not there might be bias in your experimental design.
