Bring all the factoring together. Pupils view a video presentation that shows how to combine all the factoring techniques from Unit 9 together to factor more complex polynomials. Learners practice with three items within the presentation...

In this complex and imaginary numbers worksheet, students multiply and divide imaginary and complex numbers. They solve equations containing imaginary numbers. Students determine the roots, sum and product of the roots and the roots of...

In this acid-base reaction worksheet, students calculate the ion concentration and pH for 6 solutions, graph titration results for 11 reactions and use Henderson-Hasselbach equations for three problems.

Young scholars convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor...

Young scholars identify the end behavior of polynomial graphs. In this algebra instructional activity, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of...

Students solve a problem in a systematic and mathematical way. The use of an equation is applied to a word problem situation. It is necessary that students be familiar with different types of equations.

In this Algebra I/Algebra II worksheet, learners determine the vertex and the axis of symmetry of a parabola.  The two page worksheet contains a combination of eleven multiple choice and free response questions.  Answers are...

In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.

In this math and science worksheet, students read about the process of photosynthesis and plant growth. They determine how a plant's ability to create food is dependent on the surface area of its leaves using geometric calculations. They...

Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.

In this geometry worksheet, students set up equations to solve for the missing angle or side of an isosceles triangle. All the equations turn out to be linear and not quadratic. There are 15 questions. 

Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....

Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...

In this integrated algebra worksheet, students answer 39 questions in preparation for the Regents High School Examination.  Students solve problems about various topics in algebra and algebra II including quadratics, systems of...

In this algebra worksheet, students factor equations using the difference of squares formula. They solve quadratics by factoring. There are 6 questions with an answer key.

Students solve polynomial problems. In this algebra lesson, students multiply polynomial equations using FOIL and quadratic formula. They complete the square and factor by grouping.

In this parabolas learning exercise, learners solve and complete 12 different types of problems. First, they draw a sketch of each equation shown. Then, students write the vertex form of each graph on the line provided.

Students practice with the discriminant. In this translation and rotation lesson students view a dissectible cone and discuss the discriminant for the second detree equation. They follow the examples from the instructor regarding the...

Students investigate graphing. In this parabola lesson plan, students review finding the vertex, focus, and diretex of a parabola. An assignment is listed, but not included with the lesson plan.

Twelfth graders explore Derive.  In this Calculus instructional activity, 12th graders investigate the menus and tools available in Derive.  In addition to the familiarization part of the instructional activity, students...

Students explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Students determine the regression equation...

In this polynomial worksheet, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page worksheet contains approximately six problems.

In this algebra instructional activity, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.

Student are able to devise and use problem solving strategies to explore problems systematically and mathematically. They also form and solve various types of equations. This lesson requires some prior knowledge of equations.