Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...

Two videos show first how to perform a rotation, given the center, the angle, and the direction of rotations. Individuals then see how to find what the rotation is from one figure to another. Pupils practice doing both in seven problems...

When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third lesson on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous two lessons....

You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their...

Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...

Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...

Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is...

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....

In this angle and radian measure worksheet, students find the measurement of a central angle. Students determine the speed of rotation, linear speed of a point, and radians per second. This two-page worksheet contains twelve problems. ...

In this van Allen Radiation Belts learning exercise, students are given the formula for the field line of the Earth's inner magnetic field. Students use this equation to find the polar coordinates of a field line in the van Allen Belts....

Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...

In this trigonometric ratios instructional activity, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find...

This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...

In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.

In this math worksheet, students apply their knowledge of angles and rotation to solve a word problem involving an old pocket watch.  They discuss gears, rotation and accuracy.

In this polynominoes instructional activity, students solve 9 different types of polynominoes problems. First, they identify that a polynominoe is a polygon made from squares of the same size and connected to each square. Then, students...

Time to learn about sundials. Scholars see how to build sundials after learning about Earth's rotation and its relation to time. The unit describes several different types of possible sundials, so choose the one that fits your needs — or...

For this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.

In this trigonometry worksheet, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given trig...

In this math worksheet, students will work independently to trace a stencil on an x-axis. Then students will follow a procedure to trace the image on the horizontal line of reflection. Students will observe that reflections and rotations...

In this polygons and angles activity, 10th graders complete 5 different questions related to polygons and angles, in addition to symmetry and transformations. First, they define polygon and how they are named. Then, students define...

For this polynominoes worksheet, 10th graders solve 9 different problems relating to various types of polynominoes, such as triominoes and tetrominoes. First, they determine how many different types of triominoes they can locate and draw...

For this motion worksheet, students calculate the initial angular acceleration, and the angular speed before and after impact for different objects. This worksheet has 3 problems to solve.

In this trigonometry learning exercise, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page learning exercise contains explanation, examples, and...