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...
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Matrix Analysis of Networks
Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a town...
Curated OER
Properties of Exponential Functions
In this algebra learning exercise, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
Curated OER
Transformation of Graphs
In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph. The four page worksheet contains seventy-two problems. Answers...
Scholastic
Study Jams! Transformations
Flip, spin, and shift with this vocabulary-rich video on transformations. Learners watch different movements and see how to move an object without affecting its size. The video follows with a multiple choice assessment that...
Curated OER
Algebra
Learners practice using a function machine online to help them with functions. They examine the relationship between input and output. They discover the rule for the change when completing these types of problems.
Curated OER
Inverse Trigonometric Functions-Using a Calculator
In this geometry worksheet, 10th graders use a calculator to evaluate the inverse of a trigonometric function. The one page interactive worksheet contains ten questions. Answers and hints are included.
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 instructional activity, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent function...
Curated OER
The Reciprocal Function Family
In this Algebra II worksheet, 11th graders examine the reciprocal function family in the form y = a/(x – h) + k, identifying the vertical and horizontal asymptotes. The two page worksheet contains explanation, examples, and two practice...
Embedded Math
Trig Graph
You and your learners will enjoy having many copies of this trigonometric graph set on the Cartesian coordinate grid with a domain running from -360 degrees to 360 degrees and a range running from -2 to 2.
Radford University
Animal Decline
Where did they all go? Small groups collect data on different animal species that are on a decline. Teams develop equations to model the populations over time and then create presentations about the decline of their animals. Classmates...
Curated OER
Vertical and Horizontal Translations
Eleventh graders study seven functions. They use their handheld calculator to determine which family of functions the equation belongs, the parent function described, and they calculate the vertical and horizontal translation.
Curated OER
Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
Visa
Making it Work Together: Money and Roommates
Balancing money and first-time roommates can feel like a daunting prospect. Support your class members in understanding how financial agreements between roommates function, as well as the underlying importance of how to communicate about...
Curated OER
Computer Graphing Calculator Explorations
High schoolers explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This activity connects transformations to the vertex form of a quadratic equation.
Fall River Schools
Parabolas Are All Around Us
Moving parabolas off of graph paper and into the real world is the task at hand in this detailed poster project. First, learners perform a cumulative activity identifying many characteristics of an assigned quadratic equation. Next, they...
Curated OER
Powerful Patterns
Students use logical thinking to create, identify, extend and translate patterns. In this pattern instructional activity, students make patterns with objects, numbers, and shapes. Students extend and translate these patterns in several...
Curated OER
Making Money Work For You
Learners differentiate between saving and investing money. In this algebra lesson, students compare different investment options, recognizing the risks and rewards of investing and integrate investing into their financial planning.
Curated OER
Translations and Scale Changes
Students perform translation and transformation of functions. In this algebra lesson, students write the formula for the different transformation and graph given translation. They compare the change to the parent function.
Illustrative Mathematics
High School Graduation
An exercise in finding the approximate time that a name would be called at a graduation. Estimating time may be difficult for some of the class, so this resource would not be a good choice for learning this standard. It does end with a...
Virginia Department of Education
Transformationally Speaking
Young mathematicians explore transformations of graphs by graphing sets of functions on the same pair of axes. They use their graphs to determine the effect that the values of a and b in y = ax + b have on the graph of y = x.
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
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