Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...

Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then...

Workout with stretches and compressions. Scholars view what happens to the graph when multiplying a function by a number. Learners combine stretches and compressions with translations before practicing the newly learned skill by pausing...

In this functions and integers worksheet, students combine positive and negative integers through addition, subtraction, multiplication and division. They complete function tables and graph the results of linear equations. This six-page...

In this worksheet students fill out a function table after reading a short word problem. This is a good way for students to practice the necessary skills for solving word problems or setting up algebra equations.

Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...

OK, so maybe graphing linear equations can be fun. This activity includes a set of linear equation cards to be cut and place face up on a table. Learners pick a card and match it to the correct graph card. This is a really fun way to...

Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...

Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...

In this linear function worksheet, students use tables to find the values of functions. They graph linear functions and explore the significance of the coordinates. This two-page worksheet contains 4 multi-step problems. Graph paper is...

Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...

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.

Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

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,...

What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of 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.

In this using function tables to problem solve worksheet, learners interpret and complete function tables to solve problems. Students solve six word problems.

I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...

Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

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.

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...

Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...