Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...

It's always nice to have a plan B. Pupils investigate an alternate formula for the area of a triangle that uses sine. A set of challenge questions shows how the new formula relates to the well-known formula of (1/2)bh.

When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...

The more rectangles, the better the estimate. Using the interactive, pupils explore estimating the area under a curve using left-hand sums. Learners respond to challenge questions on how to get better estimates using the same technique.

Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...

There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate to...

Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.

Determine whether the soccer field has the right area. Pupils create a virtual soccer field based upon constraints. They determine the equation that models the area and continue to investigate other potential areas.

Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...

Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....

What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...

Use a combination of tiling a rectangle to find area and find the greatest common factor of the lengths of two sides and the area they create. Pupils increase and decrease the sides of the rectangle before answer five questions...

There's nothing normal about an extraordinary resource. Scholars change the dimensions of a normal distribution using a slider interactive. Determining the area under the graph gives probabilities for different situations.

Using a slider, scholars build triangular numbers and their associated rectangles and use the geometric display to find the pattern to determine the next triangular number. They then relate that number to the area of the rectangle to...

Determine the area of a square with quadratics. Pupils use the interactive to visualize the process of completing the square. Scholars build a square area model to represent a quadratic expression then determine the amount that...

Think outside the box and use an engaging, interactive app that shows the relationship between square roots and squares using an actual square. Pupils find that moving a slider increases the side length of a square and its associated area.

Walking in the park can be good for the body and for mathematics skills. Young scholars use an interactive app to investigate the relationship between squares and square roots using a square with adjustable length. The program also...

Future mathematicians use an interactive to see how changing the size of a basketball court and the size of a region in the court affects the probability that a ball will randomly fall within the specified region. No calculations are...

Cover the cork board with pictures of the house. The interactive provides pictures of a house to duplicate and cover a given area. The pictures' dimensions are expressed as binomials. Pupils determine the area of the cork board based...

Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...

Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...

Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...

All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.

Who said life was fair? An interactive uses an area diagram to represent the probabilities of flipping unfair coins. Pupils use the diagram to calculate the probabilities of outcomes of flipping the two coins. The scholars must decide...