Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...

Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...

Explore theorems involving circles. Individuals watch a video that reviews the basic parts of a circle. They learn about circle theorems and compete a worksheet of problems that use these theorems — putting their skills to work right away!

It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...

For this limits worksheet, students find the limits of functions. They identify an equation of the line tangent to a curve. Students identify the velocity of objects. This two-page worksheet contains five problems.

In this derivatives worksheet, 11th graders solve and complete 2 various types of problems. First, they use the definition of a derivative to find the variable expression shown for each function. Then, students write the equation of the...

In this differentiation worksheet, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page worksheet contains approximately 12 multi-step problems.

In this graphs worksheet, 10th graders identify and solve 10 different problems that include reading various graphs of lines. They determine the equation for each graph whether it is dealing with tangent, cotangent, secant or cosecant.

In this inverse trig activity, students solve and complete 24 various types of problems. First, they evaluate each of the trigonometric inverses shown. Then, students find x and y in each trigonometric derivative. They also find the...

In this angles in circles worksheet, students explore angles outside a circle. Using given trigonometric ratios, they find the missing angle measurement or the length of a line. This one-page worksheet contains ten problems.

For this trigonometric functions worksheet, 11th graders solve 10 different problems that include applying various trigonometric functions in each. First, they determine the nearest degree that contains the measure of an acute angle...

Learn how to evaluate the derivatives of polynomials.  Mathematicians find the derivative of a quadratic function and determine the value at a given value.  Students compare the slope of the secant line through two points with...

In this calculus exam worksheet, students solve 40 multiple choice and short answer problems.  Students find derivatives, second derivatives, normal lines, slopes, etc.

Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry instructional activity, students create secant lines on the navigator to analyze the derivative. They move the lines around and make...

To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...

In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.

Tenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.

In this equations activity, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This two-page...

In this supplemental trigonometry worksheet, students determine the indicated limit, identify the tangent for an increasing function, find the relative and absolute extremes and write the formula for an equation and slope of a line. ...

In this derivative and slope learning exercise, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page learning exercise contains seven...

Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...

The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.

High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...

 A short assessment asks participants to find the original radius required to replace a table top. The problem provides a hypothetical situation of having a segment of a broken glass table top. Pupils find the radius of the...