Students explore the concept of logarithms.  In this logarithms activity, students discuss the logarithm properties.  Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a...

Young scholars recognize, describe and extend patterns in three activities. They organize data, find patterns and describe the rule for the pattern as well as use the graphing calculator to graph the data to make and test predictions. In...

Pupils explore financial applications of linear functions. As they investigate the steps necessary to plan a fundraising event, learners explore minimizing cost and maximizing profits.

Here is a 15 minute activity that can be used as review, a warm, or as a quick example of how to relate functions to the real world. Learners complete an application activity and draw conclusion about functions then discuss open and...

In this Algebra II lesson, high schoolers explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.

Students explore change represented in graphs comparing distance and time. They exchange and share their graphs. Students interpret and create distance versus time line-graphs, and write stories based on these graphs. They interpret a...

Students explore mathematics by viewing cartoons. For this math functions lesson, students read several "Peanut" cartoons on their worksheets as they solve fraction problems and compare them to the comic strip. Students utilize addition,...

Have your learners investigate parabolas. In this Algebra II lesson, students explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix.  Students interpret the equation for a...

Middle-schoolers explore the concept linear equations. They use the internet to navigate through videos and problems. Pupils problem solve to determine rates of change, slope, and x and y-intercepts.

Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...

Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...

Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging lesson helps learners make a connection between factors, zeros, and solutions. Pupils explore the relationship between the...

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,...

Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...

Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...

Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...

Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...

An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...

It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...

Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...

Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.

Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson.