Pupils graph linear equations. In this algebra lesson, students perform transformation on linear equations. They identify the slope and y-intercept of each line.

Students evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.

Students explore the concept of linear functions. In this linear functions lesson, students translate linear functions from tables to graphs to equations. Students use an applet to write a function rule for a linear function in...

Students choose natural phenomena to research. They design and conduct experiments or simulations. Students predict, gather, and analyze data. They graph the results using a spreadsheet software.

In this combinations worksheet, students determine the number of combinations in a given situation. They explore sets and determine if the relation is reflexive, symmetric or transitive. This one-page worksheet contains seven problems.

Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced. 

Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...

Students explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.

High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...

Students explore the concept of the inverse function. They learn that the inverse of a function is a reflections over the line y=x. Students learn how to determine if a function has an inverse. They discuss how changing the domain of a...

Students explore the concept of trig identities. In this trig identity lesson, students use Mathematica to graph trig identities. Students see the trig identities graphically and enforce the notion that two trig functions can be equivalent.

Learners explore the concept of solving systems of equations with two equations and two unknowns. In this solving systems of equations lesson, they work through problems of solving systems by substitution, elimination, and graphing....

Students explore slope as a rate of change. In this eighth grade mathematics instructional activity, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining...

Learners use surveys to explore how to design graphs, tables, and diagrams. They discuss articles which can stimulate ideas for research topics, or surveys of their own.

It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...

Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.

Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...

Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...

What do guitars, candles, and helicopters have in common? They're all in this resource. Learners complete an assessment task to determine the amount of profit made in a guitar class based on given information regarding variable...

What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...

Hit a home run with your lessons. A two-part activity has learners explore quadratic equations that model the path of a baseball. They see how changing the initial speed of the ball affects its maximum height, maximum horizontal...

This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs...

Students collect and graph data and use the internet to research the skeletal muscles.

Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...