Students differentiate between exponential growth and decay. In this algebra lesson, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.

Students investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how the...

A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...

Show your class how engineers use graphs to understand large and complex systems. The resource provides the beginnings of graph theory by introducing the class to set theory, graphs, and degree distributions of a graph. 

What a packed lesson! Provide your class with the opportunity to learn about the cell cycle in several exciting ways. Biologists first learn about the theory behind mitosis, then proceed to view onion tips under the microscope and create...

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Here is an activity that presents a real-world problem about the relationship between crude oil production and the gas mileage of modern automobiles. After learners write functions to describe the relationships, they are asked to...

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.

Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.

Use this SMART board activity to review the familial relationships in Romeo and Juliet. Review the characters from the play using descriptions first, then in the context of the other characters. The SMART board file (included) guides...

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...

Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.

Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...

Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...

An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 

Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.

Students model quadratic and linear equations. In this algebra lesson, students solve word problems using equations. They create scatter plots and make predictions using correlations.

Get an interdisciplinary edge. Scholars study air contamination and slope. They record the time it takes for air fresheners to reach them at variable distances. They document their times, classify them by distance, and draw a scatter...

Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...

Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.

Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

Explore linear and nonlinear models to help your class build their function skills. In a continuation of the previous lesson, learners continue to analyze and sketch functions that model real-world situations. They progress from linear...

How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...