EngageNY
Definition of Reflection and Basic Properties
Discover the results of reflecting an image. Learners use transparency paper to manipulate an image using a reflection in this fourth lesson of 18. They finish by reflecting various images across both vertical and horizontal lines.
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.
Charleston School District
Constructing Dilations
Pupils multiply the vertical and horizontal distances from the center of dilation by the scale factor. The independent practice prompts the class to analyze the relationship between the image and pre-image. The lesson is part three in a...
Curated OER
Coordinate Graphs, Translations and Reflections
Students perform translations and reflections. In this algebra lesson, students use the TI calculator to graph functions. They move the functions around on the coordinate plane using translation and reflection.
PBS
Using Symmetry to Create Corporate Logos
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the alphabet and...
Curated OER
Brain Train
A lengthy presentation on geometric reflections is here for your young geometers. Learners consider a shape, then must choose between four reflections to find the one that is a true vertical, horizontal, or diagonal reflection of the...
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
Circular Trigonometric Functions
In this Pre-calculus/Trigonometry worksheet, students estimate the amplitude, period, and horizontal and vertical translations of a graph and find a rule that models the data. The three page worksheet contains fourteen problems. Answers...
Curated OER
Families of Functions
In this Algebra II worksheet, 11th graders shift the absolute value function horizontally and vertically, stretch and shrink, and reflect parent function. The two page worksheet contains three problems. Answers are not provided.
Curated OER
Transformations and Translation of Functions
Students translate functions horizontally and vertically. In this algebra lesson, students identify the parts of the formula that allows the graph to move left, right, up and down. They perform a transformation on the coordinate plane.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Curated OER
Frieze Patterns
In this frieze pattern learning exercise, students draw frieze patterns that can be constructed from a given motif. They perform translations, glide reflections, horizontal and vertical reflections and 180 degree rotations. This...
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...
Concord Consortium
Functions by the Slice
Piece by piece ... dismantling a function can highlight interesting patterns. The task asks learners to slice functions in sections with the same vertical change. They then recreate the graph with these slices positioned horizontally....
Curated OER
Crossword: Les fruits et les légumes
Start by cutting out the mini-flashcards on the last two pages. Almost 40 different fruits and vegetables are shown with their French translation. After using these cards to build vocabulary, learners complete the crossword puzzle on the...
Curated OER
Unit Squares and Triangles
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle and angle...
Curriculum Corner
7th Grade Math "I Can" Statement Posters
Translate the Common Core math standards into a series of achievable "I can" statements with this collection of classroom displays. Offering posters for each standard, this resource is a great way to support your seventh graders as they...
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,...
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.
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
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...
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.