Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs. 

Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel. 

Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...

How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...

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...

Make the abstract a bit more concrete with an interactive that asks learners to slide an input value through a function to determine the output. Changing the slope and y-intercept allows them to see the how the output values change.

Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...

Get in one last practice. Pupils work through 12 problems and a performance task to review the topics in Unit 1. The problems cover analyzing and modeling with graphs, algebraic properties of equality, and adding, subtracting, and...

For this function tables worksheet, 11th graders solve 10 different problems that include completing various function tables. First, they read and identify each rule given for the tables. Then, students use the rule to determine the...

Learners differentiate between a relation and a function. In this algebra lesson, students identify a pair of coordinates as being a relation or a function. They analyze graphs for function as they solve word problems.

In this stairs and slope activity, 11th graders solve and complete 12 various problems that include identifying stairs that meet the given guidelines using slope. First, they use a ruler to measure the risers and treads from one set of...

Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.

Learners investigate trigonometric function.  In this Algebra II lesson, students explore functional notation and transformational graphing of trigonometric functions. 

Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.

Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.

Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...

Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...

A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...

Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....

In this function rules worksheet, students complete each function table or rule. Students complete the input and output sections for each table using the given numbers. Students complete two test prep questions.

Second graders decipher a pattern using input and output. In this functions lesson, 2nd graders use input and output numbers to find a pattern involving addition and subtraction. Students use the pattern they discovered to help solve...

Investigation of a nomograph teaches young scholars to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Young scholars make...

Create polynomials with specific values. The task consists of writing three polynomial functions that evaluate to specific values for any given number. Scholars first find a polynomial that evaluates to one for a given value, then a...