Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...

Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...

Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...

The bounce of a golf ball changes the result in golf, mini golf—and a great math activity. Scholars graph the height of golf ball bounces before finding a line of best fit. They analyze their own data and the results of others to better...

Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix. 

Smells like learning! Young scholars collect data on the length of time a stick of deodorant lasts. After modeling the data with a graph and function, they make predictions about deodorant use over time.

Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...

Bring the sun to your class! Young scholars analyze actual solar wind data in the second lesson plan of a five-part series. Their analysis includes speed, temperature, and density data.

Students explore the concept of functions. For this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.

In this functions learning exercise, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs provided, making a rough sketch on a coordinate plane. Then, students predict what each graph will...

Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.

Students solve and graph linear equations. In this algebra instructional activity, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.

Young scholars are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are...

high schoolers construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...

In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...

Seventh graders explore linear equations.  In this graphing lesson, 7th graders explore constant rates of change.  Students discover the real-life application of graphs and demonstrate their ability to read graphs and write...

Pupils investigate the horizontal intercepts of functions. In this algebra lesson plan, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...

Students compare and contrast exponential and power functions. In this precalculus lesson plan, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of less than one.

Students create a poster to explain composite functions. In this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.

In this math worksheet, young scholars explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.

Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.

Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...

In this math worksheet, pupils graph the linear functions in comparison to the inequalities. Then they compare the line segments on the coordinate plane.

Young scholars identify the end behavior of polynomial graphs. In this algebra instructional activity, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of...