Students are asked to explain the relationship between f(s) and f (-x). They are asked to determine how the equation of f(x) differs from the equation of f(-x). Students determine the conditions when f(x) is the same as f(-x). They graph...

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

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.

Students, using a specified website, plot quadratic curves to distinguish how different values of a affect a graph. They investigate how the constant and the absolute value of a function affects the graph. They identify the parabola...

It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...

So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...

Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...

In this factoring trinomials worksheet, 9th graders solve and complete 36 various types of problems. First, they write each trinomial in factored form. Then, students write all of the factor pairs of the third term and circle the pair...

Students investigate properties of parabolas. In this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.

In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...

Have your learners investigate parabolas. In this Algebra II lesson, students explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix.  Students interpret the equation for a...

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...

For this reciprocal worksheet, students identify the number that differs from its reciprocal by 1.  The significance of this number is that it is the golden ratio.  The solution to the problem is provided.

Students analyze data on debt and write an equation. In this statistics instructional activity, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned...

Students graph quadratic equations on paper and check their results on the graphing calculator. They predict the direction of the graph and the vertex point. Students use the vertex, axis of symmetry and knowledge of which direction the...

Calculus young scholars find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...

Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.

In this graphs and equations worksheet, students solve and complete 5 various types of problems. First, they complete a table of values for a given quadratic function. Then, students use the graph to find an estimate for the solutions of...

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. 

This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...

Graph quadratic functions and find the zero in this instructional activity. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated....

Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.

Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...

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...