At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...

Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...

Instead of the typical quadratic questioning, explore the function and look at the three different ways a parabola can be written. The main task is when given several clues, young mathematicians must write an equation that matches the...

Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...

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...

Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations. 

Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...

What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.

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...

Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....

Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...

You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...

Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...

Find quadratics in the world. Learners select ways to compare and contrast linear and quadratic functions and how to demonstrate knowledge of parabolas in the world. Teachers assign a third task challenging individuals to find equations...

What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...

Writing and sketching functions—what more could you want to do? Learners write and sketch functions that meet certain conditions as they complete a short task. They find a parabola that encompasses three quadrants of the coordinate plane...

Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.

Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet,...

But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...

In this Consumption Function activity, students plot consumption functions on a graph, answer questions about it, and show changes on various consumption schedules.

Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...

It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...

Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...

Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.