Show budding mathematicans how to find the sine of pi over 12. The third instructional activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using...

For this Algebra II/Pre-calculus worksheet, students explore radian measure of an angle and convert between degree and radian measure. The seven page worksheet contains explanation, examples, and nineteen multi-part problems. Answers are...

Students determine the contact angle of water on different surfaces. In this physics lesson, students calculate their percent error using a mathematical formula. They explain the advantages of using non-wetting surface for certain...

Students identify tangents, chords and secants. For this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.

In this right triangle trigonometry instructional activity, students use trigonometric ratios to determine the length of a missing side of a triangle or to find a specified angle measurement. This four-page instructional activity...

In this trig ratios worksheet, learners determine the angle measurement of trigonometric ratios. They find the value of trigonometric function. This approximately four-page worksheet contains 24 problems. Answers are provided on the last...

In this geometry activity, 10th graders use right triangle trigonometry to find the missing angle measure or side length in right triangles. The one page interactive activity contains ten questions. Answers and hints are included. 

In this parallel lines worksheet, students solve 13 short answer and fill in the blank problems. Students determine which lines are parallel given a statement such as if these angle measures are equal then which lines are parallel?...

In this central and inscribed angles learning exercise, 10th graders identify and solve 20 different problems that include determining inscribed angles and intercepted arcs. First, they determine the measure of point P if the given...

Young scholars develop two units of measurement to relate to the astronomical unit and the light year. In this astronomy lesson, students use a Twizzler to develop a measurement unit similar to the astronomical unit. They use a moving...

Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...

After reviewing characteristics of seven types of triangles, young geometers discover how to find the missing angle of a triangle. Then, they practice identifying triangles, find missing angles, and find missing side lengths of...

Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...

Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...

Use this comprehensive pre-instruction assessment tool to focus your teaching where your class needs it most. Multiple choice questions assess your budding geometers' conceptual and vocabulary knowledge, but they do not solve any...

Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...

Even though there is a wide variety of different triangles in the world, knowing a single equation allows us to find the area of each and every one of them. Follow along with this step-by-step presentation as Zoe clearly models how to...

What time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.

Expand trigonometric ratios beyond right triangles. Pupils start with a review of trigonometric ratios and then take a look at angles in standard position to determine their measurements. Scholars discover how to find coterminal angles...

Boat ramps move with waves and changes in water level. Scholars decide on the proper length for a ramp so the angle connecting both sides is appropriate. They visualize the situation and use a simulation to view the results with their...

Watch the excitement grow as learners experiment with homemade rockets. Pupils create their own rockets from a soda bottle and experiment with launch angles. They discover the launch angle has a significant effect on the distance the...

Why does Earth experience summer, fall, winter, and spring? Using an informative demonstration, learners see how the angle of the sun on Earth and the rotation of Earth determine the seasons. Scholars work in pairs to learn that the...

A connecting-the-dots activity seems too easy for seventh grade but connecting vertices may prove a challenge. Class members first examine a figure created by drawing squares around the inside of an octagon and connecting the...

Examine the relationship between time and geometry. A series of five lessons provides a grade-appropriate problem from elementary through high school. Each problem asks learners to compare the movement of the hands on a clock to an angle...