Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.

Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a activity that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...

In this math worksheet, middle schoolers examine the fractional parts in order to determine the degree equivalent within a circle. Then they do the same using drawn circles.

For this math worksheet, learners determine the name for each triangle according to its classification. Then they create a truss construction model.

In this math learning exercise, students look for the solutions to the various problems involving triangles. They focus upon finding the angles and lengths of sides.

In this math worksheet, students find the measurements of the angles in degrees. Then they determine which ones are in Standard Position.

In this simplifying complex fractions and expressions worksheet, students solve 10 different problems that include simplifying fractions. First, they determine the least common denominator of all fractions with the complex fraction....

In this quadratic equations learning exercise, students solve 10 different equations that include complex roots. First, they solve for the indicated variable and express the roots of the equation in simplest form. Then, students...

In this arithmetic and geometric sequences and series worksheet, 7th graders solve and complete 10 different sets of numbers. First, they determine the common difference in each set of numbers. Then, students subtract a pair of terms and...

In this absolute value worksheet, students solve 10 different problems that include various absolute values. First, they determine the value of the number expression in each absolute value. Then, students simplify the expressions. In...

In this functions learning exercise, students solve 10 different problems that include various types of functions. First, they determine the value of the cotangent of 45 degrees. Then, students simplify the expression shown. In addition,...

In this angle sum and difference worksheet, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...

In this completing the square worksheet, 8th graders solve 10 different problems that include completing a square. First, they complete the square in the first 8 problems and write their solutions. Then, students determine what values to...

In this graphs of circles activity, 10th graders solve and graph 10 different problems related to graphing various types of circles. First, they write the equations of a circle with a given center and radius. Then, students determine the...

In this exponents worksheet, 9th graders solve 10 different equations that involve various exponents. First, they simplify the positive, negative and zero exponents. Then, students evaluate the exponents by applying the division property.

In this trigonometric word problems learning exercise, 10th graders solve 16 different problems that include various trigonometric situations. First, they determine at what angle a ladder makes with the ground. Then, students determine...

In this rational and fractional expressions worksheet, 9th graders solve 10 different problems that include simplifying various types of expressions. They simplify into simplest form each of the listed equations, including both rational...

For this direct variation worksheet, students solve ten questions about direct variation. Each problem is presented in story problem format. Students write the direct variation equation and solve for the required information.

In this probability worksheet, students compute the probability of an event happening for ten problems. Three problems ask students to find the fraction representation of an event happening.

In this arc length worksheet, students convert radians to degrees and degrees to radian measure. Ten problems are provided on this one-page worksheet.

For this imaginary unit worksheet, students solve quadratic equations. They write fractional expressions in standard form and identify the values of a complex number. Six of the ten problems on this one-page worksheet contain imaginary...

For this logarithmic worksheet, students solve given logarithm equations. Two problems may be solved by graphing. This one-page worksheet contains ten problems.

In this quadratic system worksheet, learners solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...

In this complex numbers worksheet, 9th graders solve 10 different problems related to various complex numbers. First, they multiply and divide various types of complex numbers. Then, students determine the multiplicative inverse of each...