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Lesson Plan
EngageNY

Rotations of 180 Degrees

For Students 8th Standards
What happens when rotating an image 180 degrees? The sixth lesson plan in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
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Handout
Charleston School District

Constructing Rotations

For Students 8th Standards
An instructive lesson provides the basics on how to perform rotations on the coordinate plane. The handout also covers rotating about a point other than the origin and how to perform a series of transformations. 
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Lesson Plan
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Curated OER

Transformations - Rotations in the Coordinate Plane

For Teachers 8th - 11th Standards
In this geometry activity, math scholars brainstorm examples of rotations.  Using the SMARTboard, students observe a rotation. They create their own rotation using graph paper. Finally, pupils complete a worksheet and graph rotations.
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Lesson Plan
Virginia Department of Education

Rotation

For Teachers 7th Standards
Rotate this resource into your lesson plans. Scholars rotate polygons in the coordinate plane by multiples of 90 degrees. They then compare the original and new figures to develop conjectures about coordinate points after rotations.
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Lesson Plan
Curated OER

Geometric Collages

For Teachers 4th
Fourth graders investigate the concept of geometric patterning. They create their own patterns with a few basic requirements. The patterns must illustrate the concepts of flipping, 90 and 180 degree rotations. The collages also consist...
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Lesson Plan
EngageNY

Looking More Carefully at Parallel Lines

For Students 9th - 10th Standards
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
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Worksheet
Curated OER

Rotations (2)

For Students 5th
In this graphing instructional activity, 5th graders focus on rotations. Students use rotations of 90 degrees and 180 degrees to create 6 geometric figures that are represented.
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Worksheet
Curated OER

Frieze Patterns

For Students Higher Ed
In this frieze pattern worksheet, 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 one-page...
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Lesson Plan
Curated OER

The Earth's Rotation

For Teachers 3rd - 5th
Students see a model of a globe to watch the Earth rotate. In this Earth lesson, students rotate the globe and shine a flashlight to see where the sun shines and how it rises and sets. They create a diagram and explain day and night in...
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Lesson Plan
EngageNY

Awkward! Who Chose the Number 360, Anyway?

For Students 10th - 12th Standards
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
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Worksheet
Curated OER

Rotational Symmetry

For Students 5th
In this rotational symmetry worksheet, 5th graders determine if the two figures have rotational symmetry. This worksheet explains and provides examples of rotational symmetry.
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Worksheet
Curated OER

Caley Table for the Symmetries of a Square

For Students 8th - 11th
Middle and high schoolers complete Caley's table to indicate rotating a square 90, 180, and 270 degrees. They also reflect a square across the vertical and horizontal line. This one-page worksheet contains eight movements.
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Lesson Plan
Pennsylvania Department of Education

Rotational Symmetry of Polygons and Other Figures

For Teachers 5th - 8th
Students explore geometry by participating in a shape rotation experiment. In this symmetry lesson, students identify the term symmetry and a list of other geometry vocabulary. Students analyze shapes as they are turned 90 degrees and...
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Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
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Lesson Plan
Curated OER

Tukutuku Patterns

For Teachers 4th - 5th
Students complete a series of lessons involving Tukutuku patterns, their rotations and area formulae. They determine the algebraic formulae for sequences. They use images as they work through the lessons to find the number of crosses in...
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Lesson Plan
Curated OER

Matrix Transformations

For Teachers 9th - 12th Standards
Students perform reflections of polygons. In this algebra instructional activity, students use matrices to calculate the reflection across the x and y axis. They also calculate rotation representing 90 and 180 degrees around the origin...
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Lesson Plan
Curated OER

Angle Benchmarks

For Teachers 6th
Sixth graders discuss the characteristics of specific angles and then use the information to to identify and estimate given angles. The class goes outside, identifies north, and turns a specified amount of degrees. Using a given compass,...
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Worksheet
Curated OER

Transformations in the Coordinate Plane: Reteach

For Students 6th - 7th
For this transformations worksheet, students review the terms and example diagrams for a translation, reflection, and rotation. Students then identify the coordinates for a triangle after completing the given transformations in the four...
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App
GoSoftWorks

GoSkyWatch Planetarium for iPad - The Astronomy Star Guide

For Students 6th - Higher Ed
Digital compass alignment enables navigation of the skies with true orientation at any time. Just point to the sky or "aim for the stars!" This application acts as a virtual telescope, allowing you to zoom in on any object that is...
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Lesson Plan
Curated OER

Tantalizing Tangrams: What Are Transformations?

For Teachers 4th - 6th
Students use the Internet to learn about transformations and tessellations.  For this geometry lesson, students use the Internet to define the meaning of reflections, translations, rotations, glide reflection and symmetry.  Students...
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Lesson Plan
EngageNY

Similarity

For Teachers 8th Standards
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...
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Worksheet
Curated OER

Review of Trig Ratios

For Students 11th - Higher Ed
In this trigonometric ratios activity, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the value of...
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Lesson Plan
Curated OER

Measuring Pattern Block Angles

For Teachers 6th
Sixth graders review the rotation of 180 and 360 degrees. Using the alphabet, they estimate the angle degree and identify the angles as either right, straight, obtuse or acute. In groups, they measure the pattern block angles and record...
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Lesson Plan
Curated OER

Symmetries of a Quadrilateral I

For Teachers 9th - 10th Standards
Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...

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