Charleston School District
Constructing Translations
Provide an introduction to translations and the notation used to denote a translation on the coordinate plane. An independent practice portion provides the pupils several opportunities to practice the skill of translations along with...
Mathed Up!
Translations
Introduce translations as transformations that move figures in horizontal and vertical distances with a video that shows how to translate the figures. A second video covers how to determine the translation that has occurred. Pupils work...
Corbett Maths
Transformations: Translations
Slide into vector transformations. Column vectors define the translation of figures by defining the number of units to move horizontally and vertically on the coordinate graph. Pupils develop an understanding of how to read the...
Virginia Department of Education
Translation and Reflection
Bring about the change you want to see in the world or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to develop...
Exploratorium
Making a Translation Tesselation
Make masterful art using math. An interesting activity has learners create artwork involving tesselations. First they cut out a base shape from index cards, then they apply translations to complete their masterpieces.
CK-12 Foundation
Vertical Translations: Vertical Shift of Sinusoidal Functions
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
Virginia Department of Education
Translate and Evaluate
Translate, evaluate, educate. Discover how to translate and evaluate expressions. Young mathematicians first review words and phrases that indicate operations and learn to write algebraic expressions from verbal descriptions....
CK-12 Foundation
Horizontal Translations or Phase Shifts: Sine
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal Translations
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
CK-12 Foundation
Vertical Translations: Translating a Square Root Function
How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin to...
CK-12 Foundation
Translation of Vectors and Slope: Identical Vectors
Translate vectors to find equivalent ones. An interactive shows 10 randomly displayed vectors. Pupils grab the vectors and move them to group them with similar vectors in magnitude and direction. Scholars find the groups of vectors that...
Academy of American Poets
Incredible Bridges: “Translation for Mamá” by Richard Blanco
Who or what do you miss? That's the question that launches an activity that asks writers to craft a paragraph filled with sensory details that shows how they feel. Next, they listen to Richard Blanco reading his poem, "Translation for...
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...
CK-12 Foundation
Translating Sine and Cosine Functions: Translating Sine
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
Flipped Math
Transformations
Transformations come in many forms. To start the informative resource, pupils first review the different types of transformations. Scholars work in more detail with translations by drawing the transformations and writing the algebraic...
West Contra Costa Unified School District
Graphing Family of Functions
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
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...
Corbett Maths
Transformations of Graphs
Geometric transformations in algebra ... what? Given four transformations, the narrator explains how each affect the graph of the original function. The transformations involve translations and reflections, both horizontally and...
Virginia Department of Education
Translate and Evaluate
Hopefully nothing gets lost in translation. Pupils translate between verbal phrases and algebraic expressions. They then use candy to determine what values to substitute into the expressions.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Cosine
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...
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...
CK-12 Foundation
Translation of Vectors and Slope: Rearranging a Classroom
Find out if vectors are equal in the classroom. Pupils use the interactive to create vectors showing the movements boys perform in rearranging classroom furniture. The scholars determine which boy moved furniture the farthest, or if they...
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