Quadratic Function Teacher Resources

This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...

Students investigate the properties behind the quadratic equation. In this algebra instructional activity, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.

Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...

When first looking at this polynomial and thinking about factoring it into binomials, the task seems daunting because the numbers just look icky. But watch this video and see the instructor demonstrate how to factor by the A-C method....

Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty...

What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.

These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...

Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...

Start this activity with a brief description of how to solve absolute value inequalities. A space is provided to help classify the inequalities into types (greater than, less than, or equal to) and for learners to show how to graph their...

Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.

Students investigate parabolas and their equations.  In this parabolas and their equations lesson, students graph quadratic equations on their graphing calculator.  Students find the axis of symmetry of a parabola. ...

Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...

In this polynomial activity, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs, and...

Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...

High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...

Eleventh graders explore quadratic equations.  In this Algebra II lesson plan, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations.  The lesson...

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 lesson may be used as a review or as extra practice, in groups or individually.

Learners investigate quadratic equations as they use a CBR to collect and analyze data regarding a bouncing ball. Pupils explore different methods for determining the equation of the parabolic path including quadratic regression and...

Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them...

Students solve two functions at once. In this algebra lesson plan, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.

Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Students make a scatter...

Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.

By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....

High schoolers factor polynomial equations. In this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.