A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...

High schoolers review the units of the metric system, and practice estimating measures before actually converting between the two systems of measurement. They participate in activities to visualize a concentration of one part per...

Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...

It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....

Young scholars will display the first five rows of Pascal's Triangle and discuss in their groups what patterns they see in the rows of numbers. They will give responses and discuss that these numbers form what is called Pascal's Triangle.

Students explore one-to-one correspondence. Through activities, students examine rhythm and patterns. From the patterns discovered, students create a visual representation of the pattern with blocks.

Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.

Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...

Learners solve exponential and log functions. In this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs. 

Graphing linear equations on the TI is easy! Through examination of graphs and identification if it is a function or not, this lesson can relate to the real world.

Young mathematicians solve composition of functions. They add, subtract, multiply and divide functions and then identify the domain and range of each function. An embedded animation shows three different applications of function...

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.

Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.

Students investigate the derivative of a function.  In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions.  The lesson promotes the idea of the derivative as a...

Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...

Have your class find the domain and range for each function. Students graph equations using the TI. They find all the x and y values as they relate to the domain and range.

Solving problems on the TI graphing calculator can be quite easy. Students observe the properties of transformation of functions and create a formula for the transformation.

Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...

Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. ...

Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.

Teach your class how to transform a graph! By identifying the domain and range of the functions, learners can observe the parabola and find the vertex of the transformed graph.

Learners collect and analyze data regarding exponential functions of the form y = abx.  High schoolers explore the affects of changing parameters on the graph of the function. 

In this trigonometric functions worksheet, students solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. Students graph inverse trigonometric functions.