Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
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...
EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
Curated OER
Transformations on the Coordinate Plane
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...
Curated OER
Transformations
In this transformations worksheet, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
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 page...
Curated OER
Equation of a Circle
Young scholars write the equation of a circle. In this geometry activity, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.
Curated OER
Scale Factor Area Perimeter
Mathematicians compare triangles at different scales. In this geometry instructional activity, learners calculate the area and perimeter of triangles. They use the Ti to make observation of the change that takes place as the triangles...
Curated OER
New York State Standards
In this math worksheet, students review for the high school exit exam of New York. They solve problems using algebra, geometry, and precalculus. There are 30 questions.
Curated OER
Determine the Coordinate of Transformations
Students investigate transformation on a coordinate plane. In this geometry activity, students identify pairs of coordinates and their location on the grid. They perform rotation and reflection of each polygon.
Curated OER
Introduction to Unit V-Transformations
Pupils investigate transformations. In this Algebra I/Geometry lesson, students explore reflections, translations, rotations and dilations. The lesson includes examples of transformations in art, architecture, and nature.
Curated OER
Data Representation
Pupils solve real life scenarios using math. In this geometry lesson, students collect, predict and interpret data. They measure a chair using different measurements and choose what would make the chair the best design.
Curated OER
Effect of Transformations on Coordinates
In this effect of transformations on coordinates worksheet, students determine the coordinates of 4 geometric shapes on a grid after a given transformation.
Curated OER
Transfromations
In this geometry worksheet, 10th graders solve questions that involve rotations, reflections, and dilations. The one page worksheet contains ten multiple choice questions. Answers are not provided.
Curated OER
Cracks on the Walls
Students observe the cracks in school walls and pavements. In this geometry instructional activity, students explore the factors to be considered before building a structure. They complete a graphing and calculation worksheet after the...
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.
Curated OER
Three Dimensional Sketching
Pupils become familiar with drawing segments and points. They understand how perspective drawing differs from three dimensional sketching. They demonstrate three dimensional and perspective drawing.