Ninth graders investigate multiplication of binomials and factoring of trinomials.  In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.

Students identify the vertex and intercepts of a parabola. In this algebra lesson, students graph parabolas and factor quadratic equations. They perform transformation on the parabolas.

If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...

Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections. 

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.

Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson plan on relationships between two numerical...

Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.

Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...

How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...

Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...

Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.

Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...

A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...

Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...

Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...

Pupils use their knowledge of the vertex form of a quadratic equation to graph parabolas using a graphing calculator, given a specific move to make. this instructional activity may be used as a review or as extra practice, in groups or...

In this algebra worksheet, 11th graders solve a variety of problems using linear and quadratic properties as they pertain to functions. There are 12 questions.

Students identify properties of parabolas. In this algebra instructional activity, students factor quadratic equations and identify the properties of parabolas. They find the roots, vertex and intercepts of a parabola.

In this quadratic linear systems of equations worksheet, students solve ten word problems using systems of equations.  The solutions are provided.

In this nature of roots worksheet, students solve 10 different problems that include determining the sum and product in each one. First, they determining the sum of the roots in the given equation. Then, students determine the product of...

Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...

In this root worksheet, students determine the roots of given quadratic equations.  They solve algebraically or by graphing.  This one-page worksheet contains 8 problms.

In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.