Learners convert quadratic functions from standard form to vertex form. For this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.

Students investigate the horizontal intercepts of functions. In this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...

Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...

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

In this minima/maxima learning exercise, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations. ...

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 quadratic equations learning exercise, students complete the square, factor a trinomial, and solve using square roots. There are eight questions with a provided workspace.

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

Students go on a field trip to the Iona Wastewater Treatment Plant and learn about sewage, waste, and pollution. In this treatment plant lesson plan, students also complete collection samples of quadrats.

Students 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 an...

Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...

Math manipulatives are wonderful for demonstrating any number of mathematical concepts in a concrete and visual way. Learners review the addition property of equality and the zero property using a scale model kit (not shown). They...

These multiplication problems give scholars a chance to display their knowledge of math properties. They use the zero property to solve one problem, write a related multiplication fact for a division problem, and complete a final...

Which property is shown? Scholars examine 10 multiplication equations to determine which property each displays. The properties aren't written for them, so this is a little more challenging. There are no numbers over 12 here. 

Learn to identify the properties of parabolas. Students define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...

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 Algebra I/Algebra II worksheet, students 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 this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...

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

Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.

Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...

Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.

What's it like to be a deep-sea explorer? Tap into the imaginations of your fifth and sixth graders with a vivid lesson, the second part of a six-part adventure. Learners close their eyes and submerge themselves in an expedition aboard...

Block play can teach children about gravity, physics, and spatial relationships. A hands-on lesson incorporates these concepts with an activity in which learners examine the relationship between levels in a pile. Scholars begin to...