Try to judge when you think a minute has passed without counting in your head or watching a clock. Use the online stopwatch to record your guesses, get some friends to guess as well and try to come up with reasons for the variations in responses.
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.
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?
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.
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.
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.
Does the ratio of height to distance and the angle of elevation change as you move a ladder? Identify any patterns that exist between the height-to-distance ratios and the angles.
Determine the median of eleven noodles. Consider what you would or would not be able to tell about the other noodles if you could only see the median noodle.
You can cut geometric figures into pieces that you can rearrange to form different geometric figures. Show how the midline cut of any triangle can be used to form a parallelogram.
Use the slider on the graph to see all possible shapes of Ms. Anwar’s 2,000 sq. ft. backyard. Come up with an equation relating the length (x) and the width (y).
The computer makes up a mystery operation and you have to figure out what it is. Keep entering pairs of numbers for the computer to calculate and try to find the pattern in the answers the computer gives until you think you know what's going on.
Strengthen your understanding of place value by looking at systems based on numbers other than 10. Work with manipulatives to calculate base four addition and subtraction problems.