Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...

A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...

This first of twelve algebra 2 resources provides a broad review of many algebra 1 concepts through a number of separable lessons and labs. Starting with the real number system and its subsystems, the sections quickly but thoroughly...

There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.

Not all data is the same. Using the interactive, pupils compare data represented in two different ways. The learners develop an understanding of the difference between discrete and continuous data and the different ways to represent each...

A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...

Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through...

Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the lesson by interpreting their answers within context.

Strengthen your understanding of logistic functions. Young mathematicians change the carrying capacity of a logistic function and see how function values change. The function models the number of members in a gym over time.

Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.

Watch as a function machine converts an input to an output. Learners determine the work applied by the function machine to write a function rule. Questions accompany the function machine animation to guide individuals to conclusions.

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...

Let the function drive the activity. The interactive displays the odometer on a car for a trip. Pupils determine and interpret the slope of the situation. Then, they find a verbal description of the equation of the function.

To be (a function) or not to be (a function). An easy-to-use interactive has pupils drag a vertical line onto several graphs to determine if they represent functions. Some challenge questions assess understanding of this idea.

Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...

Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns...

This is the ticket to learning about function rules! Using online manipulatives, scholars build a table of values and then answer questions about the related function. They examine the relationship between the input and output values and...

There is zero reason not to use the resource. Given a graph with a polynomial function and a linear function, scholars move the line in an interactive. To wrap up the lesson, they note how zeros and intersection points change.

Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...

Lean a ladder against the wall to create an angle. Class members use an interactive application to determine the angle a ladder makes with the ground. Individuals respond to five questions using inverse trigonometric functions.

This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...

When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...

Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...

Perform a switch to find the inverse of a parametric equation. Pupils match four parametric functions with the graph of the their inverses. Using the graphs, learners determine whether particular points are on the original parametric...