In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...

Students learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...

Learners explore the concept of linear equations. In this linear equations instructional activity, students examine graphic organizers on steps to solve linear equations. Learners then practice solving linear equations as they play a...

Students use Cartesian coordinates. In this graphing lesson students use simple formulae, interpret coordinates, and create graphical representations. They express their work algebraically.

Students evaluate the area of a picture frame and write algebraic representations. In this algebra instructional activity, students work in groups to find the area of different picture frames.  Students then write algebraic...

In this story problem worksheet, students read story problems, write equations, and solve. They use the law of sines, the law of cosines, the distance formula, and rates to solve problems. This two-page worksheet contains seven story...

In this heat index formula worksheet, high schoolers find the heat index for 3 scenarios.  Students use matrix multiplication to determine the heat index given temperature and relative humidity.

In this formula worksheet, students read short story problems and determine the correct formula. They compute compound interest, use the Richter equation to figure magnitude and find the pH of given solutions. This one-page worksheet...

Middle schoolers find the area of polygons.  In this area of polygons lesson, students find the area of parallelograms, rectangles, squares, and other polygons.  They identify each given figure and determine the appropriate...

Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. For this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...

Learners review for the Regents Exam. In this math lesson, students review core concept for the Regents exam by working a variety of problems. A printable worksheet is provided.

Twelfth graders use Algebra and Geometry to solve a real life problem at the Zoo.

In this volume worksheet, students compute the volume of geometric shapes. Each problem is an application (or word) problem. Students are given the appropriate formula and dimensions of the shape. Two problems ask about surface area.

In this algebra learning exercise, students plot points in order to find the slope, midpoint, or distance between two points. There are 16 questions.

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...

Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....

Solve a real-life problem using function-building skills. Presented with an open-ended question, scholars complete a checklist to create and justify a solution in an interesting algebra project. The checklist asks for justifications of...

Investigate the order of operations! Learners participate in interactive multi-media activities to examine and solve multi-step equations, inequalities. They evaluate formulas and simplify monomials and polynomials.

Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...

This real-life model of braking distance motivates learners to approach quadratic equations algebraically, numerically, graphically, and descriptively.

Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...

Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.

Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...