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Handout
Charleston School District

Constructing Translations

For Students 8th Standards
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...
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Interactive
CK-12 Foundation

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
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...
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Assessment15:11
Mathed Up!

Translations

For Students 9th - 12th Standards
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...
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Unit Plan
Curated OER

Transformations in the Coordinate Plane

For Teachers 9th - 12th Standards
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
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Activity
Curated OER

Navajo Weaving: A Lesson in Math and Tradition

For Teachers 3rd - 5th
Combine geometry and tradition with a lesson that spotlights Navajo weaving. The book, The Goat in the Rug by Charles L. Blood and Martin Link hooks scholars before watching a video of Navajo people tending their sheep and beginning to...
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Lesson Plan
Virginia Department of Education

Translation and Reflection

For Teachers 7th Standards
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...
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Interactive
CK-12 Foundation

Translation of Vectors and Slope: Identical Vectors

For Students 11th - Higher Ed Standards
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...
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Unit Plan
Curated OER

Deciphering Word Problems in Order to Write Equations

For Teachers 5th - 8th Standards
Help young mathematicians crack the code of word problems with this three-lesson series on problem solving. Walking students step-by-step through the process of identifying key information, creating algebraic equations, and finally...
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Lesson Plan
Virginia Department of Education

Translate and Evaluate

For Teachers 6th - 9th Standards
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....
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Cosine

For Students 10th - 12th Standards
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.
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Activity
Exploratorium

Making a Translation Tesselation

For Teachers 3rd - 5th
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.
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Sine

For Students 10th - 12th Standards
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...
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Interactive
CK-12 Foundation

Vertical Translations: Translating a Square Root Function

For Students 10th - 12th Standards
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...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

For Students 10th - 12th Standards
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...
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Handout
Charleston School District

Transformation Basics

For Students 8th Standards
Transformations are more than the process in which sports cars become fighting robots. Listed in terms of which transformations give congruent or similar figures, several resources provide definitions and examples of the four basic...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
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.
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Interactive
CK-12 Foundation

Restricted Domain and Range: Translation of a Curve

For Students 9th - 12th Standards
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
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Interactive
CK-12 Foundation

Translation of Vectors and Slope: Rearranging a Classroom

For Students 11th - Higher Ed Standards
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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Unit Plan
Radford University

Transformational Graphing in the Real World: Bacteria – Growth or Decay?

For Teachers 9th - 12th Standards
Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...
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Handout
MLC

Decimals Worksheets

For Students 4th - 7th Standards
Make sure your students' understanding of fractions is on-point using this series of skills practice worksheets. Covering a variety of topics from basic place value and fraction/decimal conversion, to performing all four operations with...
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Lesson Plan
EngageNY

Matrix Notation Encompasses New Transformations!

For Teachers 11th - 12th Standards
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
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Activity
PBS

Using Symmetry to Create Corporate Logos

For Teachers 4th - 8th Standards
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...
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Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
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...
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Lesson Plan
EngageNY

Modeling Video Game Motion with Matrices 2

For Teachers 11th - 12th Standards
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...