EngageNY
Four Interesting Transformations of Functions (Part 3)
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin to...
Flipped Math
Transformations of Functions, Pt. 2
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...
Curated OER
Trigonometric Graphs: Vertical Shift and Stretching
In this trigonometric graph instructional activity students describe the period, amplitude and vertical shift of given functions. They graph the trigonometric function. This four-page instructional activity contains 16 multi-step problems.
Curated OER
Building a Quadratic Function Form
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...
EngageNY
Four Interesting Transformations of Functions (Part 1)
Understanding how functions transform is a key concept in mathematics. This introductory instructional activity makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses...
Modesto Junior College
Graphical Transformations of Functions
Transform your knowledge from average to excellent with this comprehensive guide to function transformations. All of the types of shifts, stretches, and reflections are included with an explanation and coordinating graph to show...
CK-12 Foundation
Changes in Period and Amplitude of the Sine Function
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
Curated OER
Families of Functions
In this Algebra II learning exercise, 11th graders shift the absolute value function horizontally and vertically, stretch and shrink, and reflect parent function. The two page learning exercise contains three problems. Answers are not...
Curated OER
Slope Exploration
In this slope exploration worksheet, 9th graders solve and complete 18 different problems that include graphing and investigating the slope of various equations. First, they graph each pair of points and draw a line that contains both...
EngageNY
Four Interesting Transformations of Functions (Part 2)
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 instructional activity in a 26-part series focuses on...
CK-12 Foundation
Sine Graph and Cosine Graph: Changing Amplitude
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
DiscoverE
Kicking Machine
Don't kick the resource to the curb; you'll definitely regret it. Future engineers devise a kicking machine that launches a ping-pong ball toward a target. They can use a pendulum, a rubber band, or both, depending on whether they want...
PBS
Toothpicks and Transformations
High schoolers investigate quadratic functions using geometric toothpick designs. They review transformations of quadratic functions-vertical and horizontal shifts, and stretches and shrinks. Students match the symbolic form of the...
Curated OER
Transformations: Dilating Functions
Students dilate functions using transformation. In this algebra lesson, students complete vertical dilation, stretch and shrink. They perform reflection across the x and y axis.
Physics LAB
Basic Practice With Springs
For this springs worksheet, learners answer 14 questions about springs, spring constants, the acceleration of masses connected to springs, the elasticity constant of springs, the energy stored in springs and the speed at which masses...
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine lesson, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent function shift the graph. ...
Curated OER
Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
Curated OER
Projectile Motion (or You Bet Your Grade)
Learners experiment with the velocity of a spring. For this velocity lesson, students conduct trials in order to determine the initial velocity of a spring. They stretch the spring different amounts and fire it both horizontally and...
Curated OER
Strings and Springs
Ninth graders explore physics with springs and strings. In this force and motion lesson, 9th graders rotate through four stations exploring how various springs stretch and bounce, and how mass and length affect a pendulum's swing. They...
Curated OER
Easy Worksheet: Writing Equations of Functions
In this writing equations of functions instructional activity, learners solve 4 short answer problems. Students write equations of transformed parabolas and absolute value equations given a stretch/shrink factor and vertical horizontal...
Curated OER
Inching Worms
Third graders have a blast trying to measure live, wiggly, stretching worms to the nearest inch. Groups record their data onto a class graph and then compare characteristics. They share their findings with the rest of the class. Fun...
Carnegie Mellon University
Natural Gas and Pennsylvania’s Future
Beginning with a general discussion about natural gas, methane, and hydrocarbons, a few videos and diagrams are projected to support the lecture. Individuals participate in a brief activity by drinking juice through a straw, and then...