Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...

Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...

Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...

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...

Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...

There are many equations Algebra I students are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson exposes learners to a wide variety of...

What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...

Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...

It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.

Functions as inputs for other functions? After reviewing function notation and how to input values to evaluate functions, class members input functions into functions, essentially determining the composition of functions.

Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.

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

Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...

Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.

Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase...

Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.

For this algebra worksheet, students look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...

Use this graphing functions activity to have learners complete four tables and graph the results on the included coordinate grid.

Explore the concept of graphing exponential functions. High school mathematicians are given exponential functions such as y=2*3^x, and they graph them on a coordinate plane.  They are given two exponential graphs and must write an...

Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...

Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...

Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...