Watch the net of a rectangular prism fold up into a three-dimensional object. Then calculate and add the value for each face of the prism to get the total surface area.
Pentominos are figures made from five squares where each square must touch at least one other square from corner to corner and side to side. How many pentominos can you make?
For a given set of data points, the line that minimizes the sum of the squared errors is the least squares line. Find the least squares line that best represents the height and foot length of 17 people in a scatter plot.
The Five-Number Summary divides ordered numeric data into four groups with each group having the same number of data values. You will create a five-noodle summary for two different sets of noodles.
Line plots are good for small amounts of data while frequency bar graphs are better for large amounts. Observe how to transition from line plot to frequency bar graph.
Measure the lengths and diagonals of three squares with a ruler. Look over your measurements and try to come up with a rule of thumb for estimating the length of a diagonal if you know the length of a side.
Imagine a cake shaped like a cube that is frosted on all six sides and will be cut into smaller cube-shaped pieces. Make predictions about the number of pieces and the amount of frosting on each piece of cake using the table to check your predictions.
Learn about several three-dimensional geometric shapes and the terminology used to describe them. Learn how to calculate their surface area and volume, and explore their mathematical properties.
Test your knowledge of polyhedra, prisms, pyramids, volume, surface area, Euler’s Theorem and platonic solids. Take this 39-question test, review your correct and incorrect answers, and print out your assessment.
Practice classification/pattern recognition skills by guessing which button out of sixteen the computer has chosen. Go through a series of online questions about the buttons that differ in size, color, shape and number of holes to determine the answer.
Someone makes up a mystery algorithm and keeps it secret. With the help of the function machine, try to discover the algorithm with as few guesses as possible.
Review the transitions between various graphical representations of data and discuss the advantages of a histogram have over a stem and leaf plot. Also consider the disadvantages of a histogram.
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.
