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Lesson Plan
EngageNY

Discovering the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
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Assessment
Mathed Up!

Negative Scale Factor

For Students 9th - 12th
Class members investigate the effect of a negative scale factor dilation on coordinate shapes as they watch a short video that shows an example of a geometric figure undergoing a dilation with a negative scale factor. Learners then try a...
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Instructional Video3:31
Corbett Maths

Enlargements with Fractional Scale Factors

For Students 6th - 12th Standards
Enlargements make it bigger, right? A video shows viewers how to perform a basic dilation with a fractional scale factor. They learn how to use the scale factor to find the location of the transformed vertex by multiplying the horizontal...
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Lesson Plan
Willow Tree

Transformations

For Students 8th - 11th Standards
How does something go from here to there? Describe it with a transformation. Young mathematicians learn how to translate, reflect, rotate, and dilate an image. 
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Assessment
Bowland

Three of a Kind

For Teachers 6th - 9th
One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.
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Worksheet
Curated OER

Visual Analogies

For Students 4th - 8th
Here are four questions which require learners to examine four pairs of visual analogies and then choose a figure that completes a missing part of an analogy that is the same as the one shown. They then get to create their own visual...
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Worksheet
Curated OER

Triangles

For Students 10th
In this triangles worksheet, 10th graders solve and graph 8 different problems that include various transformations. First, they write a rule for the composition of a dilation of a scale factor. Then, students determine whether a graphed...
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Worksheet
Curated OER

Geometry Glencoe Chapter 13 Test

For Students 8th - 12th
In this Geometry Chapter 13 review activity, students complete 20 multiple choice questions and 1 bonus question regarding volume, dilation, and midpoint and distance between points of 3D objects.
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Worksheet
Curated OER

Black Holes...III

For Students 9th - 12th
In this black holes worksheet, students use a formula for time dilation which causes delays in events that occur near the black hole. They solve 6 problems using the equation.
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Worksheet
Curated OER

Black Holes....II

For Students 8th - 10th
In this black hole worksheet, students use the equation for time dilation to solve 8 problems including determining the time it takes to receive a GPS signal from space, the time delay for the GPS-Earth system, the distance a radio...
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Worksheet
Curated OER

Six Exercise Sets on Transformations

For Students 8th - 11th Standards
Middle and high schoolers solve fifteen problems from six exercise sets covering transformations, reflections, rotations, and enlargements. The solutions are provided.
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Interactive
Curated OER

Similar Figures

For Students 7th - 10th
In this similar figures worksheet, students identify the meaning of similar, corresponding sides, and congruent.  They use proportions to find the length of a missing side.  Students dilate given figures according to a scale factor. ...
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Workbook
1
1
University of Utah

Geometry: Transformations, Congruence, and Similarity

For Students 8th Standards
Rigid motions are to congruence as what are to similarity? Investigate properties of rigid motions and define congruence in terms of rigid motions with the ninth chapter of a 10-part eighth grade workbook series. The lesson then prompts...
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Worksheet
Curated OER

Transformations on the Coordinate Plane

For Students 7th - 10th Standards
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
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Worksheet
Curated OER

Transformations Using Matrices

For Students 10th
In this transformations worksheet, 10th graders solve and complete 16 different types of problems. First, they graph the image of the figure using the transformation given. Then, students find the coordinates of the vertices of each...
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Worksheet
Curated OER

High School Examination: Mathematics B

For Students 12th
In this high school examination instructional activity, 12th graders solve problems dealing with parabolas, coordinates, probability, dialations, intervals, and trignomeric ratios.  This instructional activity is designed as a end of...
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Assessment
Charleston School District

Review Unit 2: Congruence and Similarity

For Students 8th Standards
Review for the test with a comprehensive list of terms and concepts for the unit on congruence and similarity. It divides divides the sections in the order of the lessons presented during the unit. 
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Lesson Plan
EngageNY

Justifying the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
The 14th lesson in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...
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Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
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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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Assessment
Charleston School District

Pre-Test Unit 2: Similar and Congruent

For Students 8th Standards
A pre-test contains questions about transformations that lead to congruent and similar images. It also covers angle relationships associated with triangles and parallel lines intersected by a transversal. 
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Assessment
EngageNY

End-of-Module Assessment Task - Grade 8 Mathematics (Module 3)

For Students 8th Standards
Everything the class knows about similarity in one small package. The last portion of a 16-part series is a three-question assessment. In it, pupils demonstrate their application of similar figures and their associated transformations. 
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Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 2

For Teachers 11th - 12th Standards
The 10th activity in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and...
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Assessment
EngageNY

Mid-Module Assessment Task - Precalculus (module 1)

For Teachers 11th - 12th Standards
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...

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