HSG-SRT.A.1
Verify experimentally the properties of dilations given by a center and a scale factor:
20 Lessons
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Transformations + Similarity Geometry» Unit:Sweet Similar Shapes
Geometry
» Unit:
Sweet Similar Shapes
Big Idea:Students will use a pair-share activity and activate their prior knowledge to discover how transformations connect to AA criterion.
Introduction to Similar FiguresGeometry» Unit:Similar Figures
Geometry
» Unit:
Similar Figures
Big Idea:What are dilations good for? Let's look at similar figures!
Dilation NationGeometry» Unit:Transformers and Transformations
Geometry
» Unit:
Transformers and Transformations
Big Idea:Students will review transformations using a brain pop and learn how to geometrically enlarge and shrink shapes.
Scale FactorGeometry» Unit:Similarity in Triangles
Geometry
» Unit:
Similarity in Triangles
Big Idea:Students use examples from the book Aliceâs Adventures in Wonderland to explore the concept of scale factor.
Perspective Art Project8th Grade Math» Unit:Linear Equations in two Variables
8th Grade Math
» Unit:
Linear Equations in two Variables
Big Idea:This project is fun, fun, fun for students and also so educational on a middle school and high school level connecting dilations, similar figures, and 3-D art!
Dilations on the Coordinate Plane, Center (0, 0)Geometry» Unit:Similarity in Triangles
Geometry
» Unit:
Similarity in Triangles
Big Idea:Students dilate objects on the coordinate plane and identify the scale factor of dilations that take a pre-image to an image.
Satellite Overflight 1Geometry» Unit:Scaling Up- Dilations, Similarity and Proportional Relationships
Geometry
» Unit:
Scaling Up- Dilations, Similarity and Proportional Relationships
Big Idea:Students learn how dilating a shape affects perimeter and area as they design a sign large enough to show up on Google Earth.
Dilations on the Coordinate Plane, Center (h, k)Geometry» Unit:Similarity in Triangles
Geometry
» Unit:
Similarity in Triangles
Big Idea:Students will practice performing and describing dilations with centers other than (0, 0) and scale factors greater than one or between zero and one.
Dilations using Geometer's SketchpadGeometry» Unit:Similarity in Triangles
Geometry
» Unit:
Similarity in Triangles
Big Idea:Students using Geometer's Sketchpad to investigate dilations about a variety of centers.
Properties of Dilations Extension LessonGeometry» Unit:Similarity in Triangles
Geometry
» Unit:
Similarity in Triangles
Big Idea:Students will investigate how to perform a dilation about a center (h, k) without graphing the object.
Definition of Similarity and Similar TrianglesGeometry» Unit:Triangle Similarity and Trigonometric Ratios
Geometry
» Unit:
Triangle Similarity and Trigonometric Ratios
Big Idea:Students' prior knowledge of transformations and congruence helps them make connections as they learn to use similarity shortcuts.
End of Year AssessmentGeometry» Unit:Final Assessment
Geometry
» Unit:
Final Assessment
Big Idea:This is a comprehensive assessment of all content learned to date.
Experimenting with DilationsGeometry » Unit:Similarity
Geometry
» Unit:
Similarity
Big Idea:Time for pupils to dilate...and we're not talking optometry. In this lesson, students get familiar with the major characteristics of dilations.
Finally Finals #2Geometry» Unit:Finally Finals
Geometry
» Unit:
Finally Finals
Big Idea:Students will lead review of the Geometry curriculum by creating review sheets for specific topics like circles or parallelograms and present these to their peers.
Satellite Overflight 2Geometry» Unit:Scaling Up- Dilations, Similarity and Proportional Relationships
Geometry
» Unit:
Scaling Up- Dilations, Similarity and Proportional Relationships
Big Idea:Students learn how dilating a shape affects perimeter and area as they design a sign large enough to show up on Google Earth.
HSG-SRT.A.1a
A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
3 Lessons
HSG-SRT.A.1b
The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
5 Lessons