Bowels Physics
Light, Reflection, and Mirrors
Explore the connection of light, reflection, and mirrors. A comprehensive lesson introduces the basics of light in relation to reflection and mirrors. After an explanation of the vocabulary, the presentation shows how to create ray...
Mathed Up!
Mixed Transformations
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
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...
PHET
Bending Light
Different colors of the spectrum travel at different speeds through media, causing them to refract at different angles—which allows humans to see their colors. Through a simulation, pupils see how air, water, and other media bend light....
EngageNY
Mid-Module Assessment Task: Grade 8 Module 2
It's time for a concept check! Check for student understanding over the three types of rigid transformations. The assessment follows the first 10 lessons in this series and to test pupils' proficiency of these concepts. Individuals...
EngageNY
Sequences of Rigid Motions
Examine the various rigid transformations and recognize sequences of these transformations. The lesson asks learners to perform sequences of rotations, reflections, and translations. Individuals also describe a sequence that results in...
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...
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.
Balanced Assessment
Mirror, Mirror II
Apply the concept of similar triangles to design a space in a room. Scholars use similar triangles to determine how a spotlight reflects from a mirror. After drawing the path of the spotlight, individuals find the smallest possible width...
EngageNY
Similarity
Use the coordinate plane to show two figures are similar. The lesson incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation exists between two...
Messenger Education
Snow Goggles and Limiting Sunlight
Why would someone need contact lenses that offer UV protection? With a 28-page packet full of instruction and worksheets, students discuss solar radiation and its potential harm to eyes. They make snow goggles similar to ones hunters...
University of Colorado
Rings and Things
Galileo first observed Saturn's rings in 1610. Through the use of a flashlight and baby powder, classes see how they can observe the rings of the outer planets from far away. Another demonstration shows how these rings, made of ice and...
Polar Trec
Who Will Melt First?
If the Greenland ice sheet melted, sea levels would rise by about 20 ft; if the Antarctic ice sheet melted, sea levels would rise by 200 ft. Scholars explore ice melting through the analysis of different ice samples, clean and dirty ice....
EngageNY
Mid-Module Assessment Task - Precalculus (module 1)
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is the...
EngageNY
Composition of Linear Transformations 2
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of transformations.
EngageNY
Linear Transformations Review
Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
Bowland
Pointzero: Confined
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes slides and...
EngageNY
End-of-Module Assessment Task — Precalculus (Module 1)
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
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...
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Teach Engineering
Concentrated Solar Power
The seventh segment in an eight-part unit promotes the idea of concentrating the sun to increase the power of a photovoltaic panel. Pupils learn about devices used such as reflectors or lenses.
EngageNY
Composition of Linear Transformations 1
Learners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices.
West Contra Costa Unified School District
Congruence Through Transformations
Transform your lesson on transformations. Learners use given congruent triangles and tracing paper to determine the single transformation that carries one to the other. The concept is extended to combinations of transformations to...