Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...

Reflect upon the graphs of quadratic functions. Given a quadratic function to graph, pupils determine whether the graph after a horizontal and vertical reflection is still a function. The final two questions ask scholars to describe a...

Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...

Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.

What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth lesson in a 26-part series focuses on horizontal...

Need a real scenario to compare functions? This lesson has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs. 

Graph growth in the US. Given population and area data for the United States for a period of 200 years, class members create graphs to interpret the growth over time. Graphs include population, area, population density, and population...

Graphing doesn't need to be tedious!  When pupils understand key features and transformations, graphing becomes efficient. This instructional activity connects transformations to the vertex form of a quadratic equation. 

Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...

How many things does one transformation tell you? Learners compare and contrast the graphs of different parent functions with the same transformation. Using a rational and absolute value function, pupils identify key features of their...

Mathematicians typically reference eight different types of functions. Scholars learn about the requirements for graphing a function and must decide how many different functions fit. To finish, they define each specific function meeting...

Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...

Take the road to a greater knowledge of functions. Young mathematicians graph an absolute value function representing a road connecting several towns. Given a description, they identify the locations of the towns on the graph.

Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these...

Find the function that fits. Scholars first identify the graph of a function that looks the same after a horizontal translation. They must then find the equation of a function whose graph lies only in two adjacent quadrants.

Pupils must graph the location of a train using the time given a timetable. They analyze the different legs of the trip, graph the return trip, and compare the two graphs. The lesson ends with a discussion of similarities and...

Challenge your classes to think between the curves. Given two function formed by the combination of two exponential functions, individuals must write three functions in which all values would lie between the given. The question is...

To examine mathematical functions in a modeling situation pupils combine quadratic and step functions to represent a presented scenario. They both graph and write a function to represent data shown in a table. 

Pupils use graphs to analyze two pricing schemes for postcards. After determining which is the best deal, individuals determine what is wrong with the other pricing structures and explain their thinking.

Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...

Here is a study guide that breaks graphing quadratic functions into three simple steps. Quadratic functions in vertex and intercept form are included. Use during a lesson or afterward for skills practice. Note: Make sure your class has...

Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...

Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...

Fit functions to data by using an interactive app. Individuals plot a scatter plot and then fit lines of best fit and regression curves to the data. The use of an app gives learners the opportunity to try out different functions to see...