Do bigger sails mean that the sailboat goes faster? Middle and high schoolers compare sailboats, and learn that simply calculating sail area is not enough. A slideshow presentation demonstrates how to calculate the Sail...

After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.

Physics is phun in this lesson. Young physicists use a lightbox to test how and where light is refracted and reflected as it travels through transparent materials. Angles of incidence and refraction, sine of both angles, and the...

Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...

Quilting is not only beautiful and unique—it is a mathematical art. Show your classes how to design a quilting block while practicing area and circumference of circles. Scholars create a star from a square and then find the circumference...

Just how scarce is water in different parts of the world? Through these water lessons, young data analysts use provided data to investigate the scarcity of water in countries of the Middle East and Africa. They use ratios and rates to...

Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...

Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....

The fourth installment of a five-part unit has young engineers designing and testing hoop gliders. They adjust the ratio of the front loop and back loop of the glider to determine the best design for the longest flight.

Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...

Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...

Exponents may have your pupils' heads spinning after an engaging lesson as they connect properties to tornadoes! Learners compare a distance between cities to the distance across a solar tornado. They use exponent properties to find the...

Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze...

Compare iPad and HDTV aspect ratios. Individuals use the interactive to determine whether the measurements of screens represent a Pythagorean triple. The pupils determine what changes are needed to make a Pythagorean triple.

Young scientists investigate methods of comparing standard and metric units with a technology-enhanced lesson that builds a connection between conversion ratios and the corresponding units. The simulation allows learners to...

Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...

Use a Ferris wheel to soar to new heights of understanding on double angle identities. Here is an interactive that applies an example of a Ferris wheel to show how doubling the angle does not double the value of a trigonometric ratio....

There's no risk of injury when working with virtual HCl! Challenge your young chemists with making calculations to create a 3M solution of HCl from the concentrated acid. They first calculate the correct ratios of HCl and water and then...

We're all from somewhere. An informative interactive provides information on immigration, foreign-born residents, and deportations. Pupils interpret the graphics to analyze how these quantities have changed over time. The resource is...

Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...

Find a cheaper way to keep buses going round and round. Small groups use their knowledge of ratios and proportions to find ways to save money on school transportation. The teams determine the number of miles buses currently travel by...

The resource will be 100 percent beneficial. The third of seven installments in 6th Grade Math starts with lessons on percent and percent problems. Pupils also learn how to divide fractions and apply ratio reasoning to convert units,...

Introduce a special relationship with right triangles. Learners discover the ratio of the sides in a 30-60-90 triangle. After watching several examples and seeing two different methods, pupils find unknown sides in triangles. Scholars...

Paper or plastic? Explore the environmental effects of using plastic bags through mathematics. Learners manipulate worldwide data on plastic bag consumption to draw conclusions.