Curated OER
Reflection
Eighth graders use a stencil to make a figure with which they discover the horizontal line of reflection, the vertical line of reflection, and the diagaonal line of reflection using coordinates.
Curated OER
Transformations
Pupils explore the concept of transformations. In this transformations lesson, students use Geometer's Sketchpad to construct cyclic and dihedral figures. Pupils study reflection and rotation symmetry. Students discuss vertical,...
EngageNY
Four Interesting Transformations of Functions (Part 4)
What do you get when you cross piecewise functions with transformations? An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise functions...
Concord Consortium
Shooting Arrows through a Hoop
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
Curated OER
Investigating Transformations
In this trigonometry worksheet, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page worksheet contains explanation, examples, and forty-seven questions. Answers are not included.
Curated OER
Logarithmic Transformations
Using the TI calculator to visualize and make predictions, high schoolers perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
Curated OER
Exponential Transformations
Perform transformations on exponential functions! Teach your class how to perform dilation, compression, and translation. They graph exponential functions using the TI Calculator.
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Mathematics Assessment Project
Aaron's Designs
Learners first create designs for greeting cards by applying transformations of shapes on a coordinate plane, and then determine a sequence of transformations that produces a given design.
Curated OER
Millennium Bridge
Learners read and plot coordinates in all four quadrants and state where a shape will be after translation. They explore the concept of translation using a a four quadrant grid of the of River Tyne running through all 4 quads. In...
Curated OER
Properties of Exponential Functions
In this algebra activity, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
Curated OER
Translating Between Verbal and Algebraic Expressions
Students translate between verbal and algebraic expressions. After folding paper into four sections (multiplication, division, addition, and subtraction), students list code words under the appropriate section title. Next, they...
Curated OER
Redo the Playground
Students redesign a classic piece of playground equipment. In this architecture lesson students take existing designs and formulate additions or changes for improvements. Students translate their ideas into visual form and communicate...
Curated OER
Introduction to Unit V-Transformations
Students investigate transformations. In this Algebra I/Geometry lesson, students explore reflections, translations, rotations and dilations. The lesson includes examples of transformations in art, architecture, and nature.
Curated OER
Graphing Square Root and Other Radical Functions
In this activity, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page activity contains twelve problems.
Curated OER
Finding a Line of Best Fit
Pupils engage in the practice of creating a scatter plot with the data obtained from measuring different resting heart rates. The data is used to create the table that is translated into a graph. The lesson gives instructions for the use...
Curated OER
Geometry Practice Exam
In this reflections and rotations activity, students reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.
Curated OER
Geometry Exam
In this reflections and symmetry activity, students draw lines of symmetry in shapes and patterns and reflect letters over lines in graphs. Students complete 20 problems.
Curated OER
Reflection
Students examine how some transformations, such as reflections and rotations, do not change the figure itself, only its position or orientation.
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...
EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
Curated OER
Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Curated OER
Summer Intern
Your young apprentices build a function describing the percent concentration of salt in a brine. The rational function is then related to the parent function, y= 1/x, and graphed. Finally, the apprentices predict the amount of fresh...
EngageNY
Basic Trigonometric Identities from Graphs
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...