West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
Curated OER
Trigonometric Graphs
In this trigonometric graphs worksheet, 11th graders solve and complete 16 different problems. First, they determine the period of the given functions. Then, students describe the period, amplitude, and vertical shift of each function....
CK-12 Foundation
Vertical Translations
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how to...
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...
Curated OER
Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas instructional activity, 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...
Curated OER
Trigonometry Review Sheet
Get the trig facts fast, and use the review sheet as a guide in the classroom. The worksheet also includes a document version if any changes are needed to the problems. The information includes a small degree/radian chart, a graph of all...
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...
Curated OER
Trigonometric Graphs: Vertical and Horizontal Shift of Functions
In this vertical and horizontal shift of functions, students describe the period, amplitude, horizontal shift and vertical shift of each given function. This three-page worksheet contains seven multi-step problems.
Curated OER
Four Graph Transformations with Shifts and Reflections Problems
In this transformations worksheet, students sketch functions with shifts and reflections. The original functions and space for the graphs are provided.
Curated OER
Four Graphs of Transformations Problems
In this transformations worksheet, learners sketch transformations of given graphs in four problems. In one of these problems students match graphs to equations.
Curated OER
Parabolas
High schoolers investigate parabolas and their equations. In this parabolas and their equations lesson, students graph quadratic equations on their graphing calculator. High schoolers find the axis of symmetry of a parabola. Students...
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.
Point Pleasant Beach School District
Parabola Project
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...
Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
Concord Consortium
Writing and Sketching II
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.
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Curated OER
"Graph It"
Students work in teams to conduct short surveys of their classmates. They show their results using at least two different types of graphs.
Students separate into teams and are asked that each team to choose something that they are...
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...
Texas Instruments
Changing Functions
Your algebra 2 learners show what they can do in this assessment activity on shifting, reflecting, and stretching graphs. Given the graphs of various functions, they write the represented equation.
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Curated OER
Transportation Math
Students explore the concept of exponents. In this exponents lesson, students evaluate various bases to powers. The bases to a given power are in the context of miles driven, stops on a route, and minutes spent in route. Students read...
Math Drills
Translations (2)
Do the two-step and use coordinates to move your graph side to side with translations. By using the coordinates as the guide for the shifts, learners graph straight on the worksheet and compare their answers with the key.
Howard Hughes Medical Institute
Paleoclimate: A History of Change
Earth's climate changed drastically throughout the history of the planet, so why do scientists blame humans for recent changes? Observe data covering the history of the planet that proves the natural climate change patterns. Then, learn...