Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...

What does an MRI machine have to do with a slinky? This activity challenges learners to run a current through a slinky and use a magnetic field sensor to measure the magnetic field. Groups then change the length of the slinky to see...

If I change the length, will they work better? After brainstorming the variables of wind turbine blade design, groups choose one variable to isolate and test. The groups then present their data to the class in order for all to have the...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet 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...

Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...

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...

Scholars determine distances on the coordinate plane to find areas. The instructional activity begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine...

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...

So what exactly is a random sample? The 15th part in a series of 25 introduces the class to the idea of selecting samples. The teacher leads a discussion about the idea of convenient samples and random samples. Pupils use a random...

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...

Random sampling is as easy as choosing numbers. Teams use random numbers to create a sample of book lengths from a population of 150 books. The groups continue by developing a technique to create samples to compare from two populations...

Learners build confidence working with geometric tools and develop their construction techniques in the sixth lesson plan of the 29-part series. Given a geometric description, they use a compass, protractor, or ruler to create it....

Building on the previous lesson in the 29-part series, the ninth lesson asks individuals to construct a triangle given specific criteria. First, they are given three specific side lengths, followed by two sides and the included angle....

Using patty paper, classes determine that only one triangle is possible when given two specific angle measures and a side length. As the 10th instructional activity in the series of 29, young math scholars add these criteria to those...

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...