When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a learning exercise that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Let your use of the resource be in proportion to its usefulness. Pupils investigate similar triangles by measuring side lengths and considering given angle measures. The results of the investigation help develop generalizations about...

Investigate the proportional relationships of length, area, and volume. Learners use the dimensions of rectangular prisms to create ratios and proportions. They compare the different ratios to solve more advanced problems.

What would happen if your entire world was flipped upside down? In addition to changing the distance and size of an object, lenses flip the image upside down. The simulation allows scholars to vary the object, move the object, move the...

Resistance is not futile, it is voltage divided by current. A creative simulation presents a wire graphic and allows participants to alter the area, length, and resistivity. As scholars increase or decrease a variable within the...

How accurate are robots? Groups draw lines by moving robots backwards and forwards by one rotation of the wheels. Using the appropriate formula, they determine the percent error in the length of the lines in relation to the calculated...

Make solutions to projectile motion problems magically appear using equations. Pupils watch a clip from a Harry Potter movie and find the length of time it takes for a remembrall to fall into Harry's hands. They use a projectile motion...

What sets of whole numbers make up the measures of side lengths in right triangles? Pupils use an interactive triangle to learn about Pythagorean triples. Individuals find missing values in triples and learn more about Pythagorean...

Learn to use the Pythagorean Theorem with non-right triangles. Pupils use the interactive to discover the relationship between the lengths of sides for acute and obtuse triangles. They compare the squares of the sides of the triangles to...

Young mathematicians to the rescue! Pupils use an interactive to find lengths relating a ladder against a building. The problems involve determining how long a ladder must be to reach a given floor to what floor can a given ladder reach.

Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...

Why do many tightrope walkers use a balancing pole? The simulation explores the benefits of balancing poles and the features that are most important. Pupils control the pole length, pole mass, pole stiffness, and the initial angle of...

What forces are at work when playing tetherball? Using a simulator, pupils control the ball mass, tether length, and ball speed to better understand the physics of the game. A worksheet and challenge questions reinforce the concepts...

How much energy is required to break apart an atomic nucleus and does it vary based on the type of atom? Scholars virtually experiment with a linear accelerator in order to answer these questions. They alter the voltage, length of the...

How can heat power an engine? Scholars observe a heat engine working and control variables to determine the most efficient setup. They change the amount of heat input as well as the stroke length. Energy efficiency numbers prove the...

Can you easily lift more than your own weight? With a pulley system, almost anyone can manage this challenge. Scholars adjust the mechanical advantage (number of pulleys), weight of object being lifted, and the length of rope pulled. The...

How can a magnifying glass or reading glasses make things appear larger? Scholars simulate moving a lens closer or farther from an object to observe the resulting image. They also alter the lens focal length. The simulation shows the...

How can a pan flute sound one note while we hear a chord? The simulation explores sound waves, vibrations, and harmonics at the molecular level. Scholars control the pipe into which air is being blown, the length of the pipe, and which...

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...

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...

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...

There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.

Congruent figures: two figures that want to be just like each other. Individuals learn to distinguish between figures that are congruent and those that are not. Measuring the lengths of line segments and angles helps in this endeavor.

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.