Explore the concept of graphing exponential functions. High school mathematicians are given exponential functions such as y=2*3^x, and they graph them on a coordinate plane.  They are given two exponential graphs and must write an...

How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...

Put everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...

Profit from this interactive on graphing and interpreting functions. An interactive allows learners to plot a square root function representing a company's profits. They answer some challenge questions that require interpreting this...

Explore the graphs of functions and equations with a resource that teaches scholars how to graph functions as a set of input-output points. They learn how the graph of a function is the graph of its associated equation.

Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.

No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...

Double win with a comprehensive learning exercise and an excellent worked out answer key. The learning exercise itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig...

Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...

Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.

In this linear function worksheet, students use tables to find the values of functions. They graph linear functions and explore the significance of the coordinates. This two-page worksheet contains 4 multi-step problems. Graph paper is...

Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each...

Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...

The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...

Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.

Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...

Piecewise functions are the hodge-podge of algebra. Here, pupils watch as each graph is created and then pieced together to make a function. The first example creates a graph step-by-step, while the second problem posts a graph...

Take a look in the window. Pupils watch a presentation to discover how to graph a polynomial using a graphing calculator and using the window to find the extrema. Scholars use their knowledge from previous lessons to gain a rough idea of...

Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 

The fox population chases the rabbit population. Groups model the populations of foxes and rabbits with two trigonometric functions. Individuals graph both trigonometric models on the same graph, and then teams determine an explanation...

Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.

Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.

So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.

Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...