Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Mathed Up!
Reflections
Tracing paper is not just for art anymore — pupils can use it to find reflected images, too! Two videos show how to reflect images using tracing paper and find the reflection between the pre-image and image. Learners perform reflections...
Charleston School District
Constructing Reflections
An informative video and handout provide the basic information needed to reflect any pre-image across either of the axes on the coordinate plane. The printed resource provides a preview of reflecting across lines other than an axis....
Flipped Math
Reflections
Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...
Curated OER
Line Reflections
In this line reflections instructional activity, 10th graders solve 10 different problems that include determining different line reflections in images. They identify the line reflections in each of the illustrations shown on the sheet....
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
Illustrative Mathematics
Lines of Symmetry for Quadrilaterals
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
EngageNY
Representing Reflections with Transformations
In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...
Curated OER
Lines of Symmetry - Mirror Dance
Fifth graders analyze how to divide space or shape into mirror sections to create lines of symmetry. In this lines of symmetry lesson, 5th graders discuss symmetry in dance, math, and living. Students participate in a dance warm-up and...
Curated OER
Fall Reflections Monoprints
Create a natural autumn scene using the monoprinting method. Class members work on creating an image with reflection, foreground, and background using one line.
Curated OER
Backwards Writing: Reflections and Symmetry
Why is "ambulance" written backwards on emergency vehicles? Young geometers apply principles of symmetry to translate words written backwards. See if your school or district subscribes to Jobland, where you can view a clip that explains...
Curated OER
Line Symmetry
Teach your class about symmetry lines with this resource. This worksheet defines symmetry and explains lines of symmetry and how they work. Learners examine a variety of examples before drawing lines of symmetry in 5 figures. The...
EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
California Mathematics Project
Reflections
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
EngageNY
Sequencing Reflections and Translations
Don't get out of order! Examine the effect of order on a sequence of transformations. Learners perform reflections and translation transformations in sequence. They see that changing the order of the transformations does not always have...
Curated OER
Reflecting Reflections
A triangle rests in quadrant two, from which your class members must draw reflections, both over x=2 and x=-2. This focused exercise strengthens students' skills when it comes to reflection on the coordinate plane.
Alabama Learning Exchange
Mirror, Mirror on the Wall: Reflections of Light
Why can we see our reflection in a window but not a brick wall? Young physicists learn the Law of Reflection and various light properties that help them answer this and other questions about reflection. Use the PowerPoint to introduce...
Curated OER
Reflections
In this math learning exercise, students practice constructing reflections of shapes already present in a grid-based graph. This simple learning exercise has 12 problems for the students to solve, and includes an answer sheet.
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.
Curated OER
Mira, Mira on the Wall: Reflections
Learners investigate and perform reflections and symmetry. In this geometry lesson, students compare and contrast the relationship between reflections and symmetries.
Curated OER
Reflections
In this reflections activity, 10th graders solve and complete 34 different problems that include determining various reflections. First, they trace the figure and draw its reflection in each line. Then, 10th graders use the diagram shown...
Curated OER
Reflections
Tenth graders perform reflections on different geometric shapes. In this geometry worksheet,students define the concept of geometric reflections and find the coordinates of the reflection on a coordinate grid.
Curated OER
Reflections in the Plane
Have your class explore the concept of reflections as they use Cabri Jr. to construct a triangle and reflect it over a line. Learners reflect shapes across the coordinate plane and across the lines y = x and y = -x.
Curated OER
Identifying Lines of Symmetry and Creating Reflections over a Line
Fifth graders review the concept of a line of symmetry by using pieces of paper that have pictures such as, letters of the alphabet, polygons, and designs made from polygons in order to determine if they have symmetry. The fine, two-hour...