In this algebra worksheet, students solve quadratic equations. They factor and graph their solutions. There are 5 questions with an answer key.

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...

Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

Students explore the concept of quadratic equations.  In this quadratic equations worksheet, students are given the parent graph y=x^2 and must determine the equations of two quadratic equations that have been shifted.

There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of...

One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...

Find relationships between the structure of a function and its graph. An engaging lesson plan explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.

The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs,...

Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through...

Instead of the typical quadratic questioning, explore the function and look at the three different ways a parabola can be written. The main task is when given several clues, young mathematicians must write an equation that matches the...

Students explore the concept of quadratic equations.  In this quadratic equations activity, students determine what shifts of a parent graph will look like by describing in sentences.  Students factor quadratic expressions and...

This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...

This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), learners generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

In this quadratic applications worksheet, high schoolers complete graphs, charts, comparison charts, and more having to do with quadratic equations. Students complete 5 different activities.

Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...

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...

In this functions worksheet, students explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.

In this linear quadratic system worksheet, students explore a system with a linear and a quadratic equation. With the given equations, students graph the parabola. They identify the axis of symmetry, the slope, points of intersection,...

This fun activity guides learners through an exploration of the effects of replacing f(x) with -f(x), f(x) + c, k f(x), and f(x + c). Using graphing calculators, students experiment with variations of the graph of y = x^2 to design a...

Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...

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

Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the...

Examine key features of various functions through exploration. A comprehensive lesson plan has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...