Solve a real-life problem using function-building skills. Presented with an open-ended question, scholars complete a checklist to create and justify a solution in an interesting algebra project. The checklist asks for justifications of...

Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.

Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written worksheet. Learners decide the type of graph represented based on the differences in the function values....

Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result. 

Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...

Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...

Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections. 

How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...

Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.

Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.

Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.

Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...

Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...

The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are...

Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...

Students are introduced to the function of frequency tables and stem and leaf plots. In groups, they determine the frequency of their teacher coughing, ringing a bell or raising their hand. To end the instructional activity, they...

Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...

How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.

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.

Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...

The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...

Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...