Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the...

Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...

Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...

Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.

Students 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.

Fifth graders examine the many uses of coordinate grids. In this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better.  Students complete several...

In this one to one functions worksheet, students solve 27 short answer and graphing problems.  Students determine if a function is one to one given a graph or an equation.  Students graph functions to determine if it is one to...

Pupils explore quadratic functions in this algebra instructional activity. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this instructional activity.

For this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...

In this arithmetic and geometric sequences worksheet, 11th graders solve and complete 34 various types of problems. First, they find the described term in each sequence. Then, students complete the geometric sequences and find the value...

In this graphing functions instructional activity, students solve and complete 13 different problems that include identifying and graphing various functions. First, they graph each of the functions shown on the graphs provided. Then,...

Learners perform investigation of quadratic functions while taking part in the solving of various types of problems. They explore the changes in the coefficients on the quadratic function to observe the patterns. The lesson includes...

Students demonstrate good random sampling techniques for data collection, select and develop graphic presentations of data and analyze the data to solve a problem presented.

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

Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.

Students study three structures of a plant as well as their locations and functions.  In this botany lesson students complete several activities on plant organs and their functions.

Third graders design a plate to represent the three parts of a tree. In this tree parts lesson plan, 3rd graders learn about the functions of each part and design the plate to resemble the rings of the tree.

In this graphing functions instructional activity, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.

In this roots and zeros worksheet, 11th graders solve and complete 9 different problems. First, they state the number of positive real zeros, negative real zeros, and imaginary zeros for each function. Then, students find all the zeros...

In this rational zero theorem activity, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...

In this composition of functions activity, 11th graders solve and complete 11 different problems. First, they find the value of x in each of the given functions. Then, students determine the value of both compositions in each function.

In this relations and functions activity, students answer 5 multiple choice questions that involve finding domain and range and function notation.

In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.

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