Compare the effects of relative and absolute changes on a picture. Watch what happens to a Quadperson (a drawing of a face made of quadrilaterals) if every line were made half as long or made a half-inch shorter.
Plot out a three-dimensional structure based on two-dimensional silhouettes. Look at the front and side view of figures and use a table to plot out the dimensions that mathematically represent the figures.
If you don’t know the conversion factor between a metric and a British unit, use the conversion factors you do know even though this may require more than one conversion step. Practice conversion problems with multiple conversion factors.
If you don’t know the conversion factor between a metric and British unit, use the factors you do know even though this may require more than one step. So if you need to go from meters to inches start with meters to feet and then convert feet to inches.
One way to be sure you'll have enough money to live comfortably when you retire is to put your money in a savings account where it will collect interest. Find out how simple and compound interest can help your money grow and calculate your own savings.
Economics, Mathematics, Social Studies and History
One approach for finding area is to surround the shape with a rectangle, determine the areas of the rectangle and subtract the pieces of the rectangle that are outside the original shape. Use this geoboard to create shapes and determine their areas.
The process of converting fractions to decimals can help clarify the relationship between the two. Investigate the repeating parts that emerge when you expand sevenths and 13ths fractions into decimals.
What are some different ways to represent the sum of consecutive powers of 1/2; that is, 1/2 + 1/4 + 1/8 + 1/16 + ..., etc? Explore physical, numeric, geometric and symbolic representations and consider how you represent math in your own mind.
The owner of a factory has two expensive robots to automate a manufacturing process. Use the topological concept of a configuration space to coordinate their actions and maximize their efficiency on the manufacturing floor.
The connected machine is a single function that takes an input, runs it through the network inside and produces an output. You control a network of function machines along with the input and the operation performed by each machine to solve problems.
As the pollster for candidate Higgins, you need to know how she is faring with different groups. Read her political profile, view the demographic profile of the city, decide on the groups to poll, review the results and learn about random sampling.
Calculate the area of a rectangle and a triangle as you change one or both of their dimensions. While looking at representations of several different rectangles and triangles, represent your findings in a table and determine if there is a pattern.