Lesson Plan
EngageNY

Properties of Dilations

For Teachers 8th Standards
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
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...
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...
Activity2:06
PBS

Human Tree: Ratios

For Students 6th - 7th Standards
Create a personal tree. By visiting an exhibit at the National Museum of Mathematics, the resource introduces the idea of fractals. The exhibit takes an image of the person and creates a tree by repeating scaled images on the shoulders...
Lesson Plan
Virginia Department of Education

Quadratic Modeling

For Teachers 10th - 12th Standards
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....
Lesson Plan
EngageNY

The Scaling Principle for Area

For Teachers 9th - 10th Standards
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. 
Lesson Plan
EngageNY

General Pyramids and Cones and Their Cross-Sections

For Teachers 9th - 10th Standards
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...
Lesson Plan
EngageNY

Coordinates of Points in Space

For Teachers 11th - 12th Standards
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...
Lesson Plan
EngageNY

Basic Properties of Similarity

For Teachers 8th Standards
Does the symmetry and transitive property apply to similarity? The 10th segment in a series of 16 presents the class with a group of explorations. The explorations have pairs show that similarity is both symmetrical and transitive....
Lesson Plan
EngageNY

Linear Transformations as Matrices

For Teachers 11th - 12th Standards
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Dilations

For Students 9th - 10th
Investigate dilations using this interactive resource. Students are given an opportunity to explore how scale factors can be used to enlarge or reduce the size of a given figure. Be sure to follow the link to the printable activities,...
Unit Plan
Texas Education Agency

Texas Gateway: Generalizing Geometric Properties of Ratios in Similar Figures

For Students 9th - 10th Standards
Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding...