EngageNY
Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
EngageNY
General Pyramids and Cones and Their Cross-Sections
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...
EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth instructional activity in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads...
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...
Curated OER
Transformations Using Matrices
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...
Curated OER
High School Examination: Mathematics B
In this high school examination worksheet, 12th graders solve problems dealing with parabolas, coordinates, probability, dialations, intervals, and trignomeric ratios. This worksheet is designed as a end of course...
Curated OER
Transformations
In this transformations worksheet, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
Curated OER
Transfromations
In this geometry learning exercise, 10th graders solve questions that involve rotations, reflections, and dilations. The one page learning exercise contains ten multiple choice questions. Answers are not provided.
Curated OER
Similar Figures
In this geometry worksheet students explore similar polygons and determine measure of missing sides and angles. Students use indirect measurement with similar triangles and determine the area and volume of similar figures. The seven...
Curated OER
A Geometry Worksheet - Similar Triangles
In this similar triangles worksheet, high schoolers find the scale factor of 6 sets of similar triangles. Students find the scale factor of two similar triangles given a sketch with measurements. High schoolers use proportions to find a...
Curated OER
Black Hole...Fade-out!
In this black hole worksheet, students read about how images fade to black when they reach an event horizon of a black hole. Students solve 3 problems about black holes using a given equation for luminosity. They find the time it takes...
Curated OER
Transformations and Translations
In this transformations/translation worksheet, students draw transformations based on shapes and vectors of given translations. A reference web site is given for additional activities.
Curated OER
Effect of Transformations on Coordinates
For this effect of transformations on coordinates worksheet, students determine the coordinates of 4 geometric shapes on a grid after a given transformation.
University of Waterloo (Canada)
University of Waterloo: Cemc: Geometry and Spatial Sense: Transformations [Pdf]
Accompanied by links to online activities and demonstrations, middle schoolers learn about the different types of transformations on a coordinate grid through this lesson plan. The lesson is designed to match the Grade 7 Ontario...