Is it possible for an equation to be a function and not a function at the same time? By completing a short assessment, young mathematicians answer this question. Class members provide an explanation on how an equation represents a...

The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second instructional activity in a series of...

Introduce the concept of domain and range with a video that starts with the formal definitions of the domain and range and moves on to the practical descriptions used to determine them. The presentation explains how to find the domain...

Function, function, what is your notation. Introduce your class to function notation with a video that shows examples of how to evaluate functions at numerical values along with algebraic values. The last example shows pupils how they...

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.

What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it. 

Take the work out of worksheets and use these problems and worked-out answer key as a resource. The problems reinforce skills in domain and range, identifying graphs, and even and odd functions.

There is more to the eye than just a graph on paper. The presentation shows three different piecewise graphs and asks an assortment of questions. The resource includes topics such as domain and range, intervals of increasing and...

Join the family picnic and see how all the functions come together in a PowerPoint that highlights their main features. As it includes topics such as domain, range, and intercepts, the slides are a great guide to promote class discussions. 

Using the CEVIS space bike as a context, groups work together to calculate the settings required for astronauts to reach their necessary exercise. Pupils calculate the prescribed exercise settings and complete the last section, which can...

Calculating domain and range of a function is a challenge! A helpful video shows learners the steps to finding the domain and estimating the range algebraically. Scholars understand the relationship of the domain and range. 

The abstract notion of domain and range can be troublesome. A math lesson explains the concept of determining domain and range from a graph. The instructor makes clear connections between the graph and the numeric values. There are 29...

What is a function? Teachers have been asking pupils this question from the time they started their algebra careers. A helpful video walks through the process of using the vertical line test to determine a function while showing various...

An understanding of the basics of a function is key to success in upper-level math courses! A video describes in detail the important aspects of functions including domain, range, combinations, compositions, and vertical line test. 

Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...

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 move...

The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...

This complete multiple choice and short answer practice end-of-year test for algebra 1 offers a wealth of opportunities for customization. Offer it as a whole, to track progress or prepare the class for the format of the test, or...

Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...

Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.

Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function. 

Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...

Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...

Show learners that function notation and multiplication notation are not the same. In the example, Katie is given a function, C(x), which is the cost of producing x amount of DVDs. Ask learners if Katie can divide the function notation,...