Download • 8.G.A.3 Describe the effect of dilations, translations, rotations, and

January 26 2016
Topic A: Dilation
•
8th Grade
Module 3 Similarity
8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Lessons 1: What Lies Behind the Same Shape?
Problem Set
Materials
Lesson 1
Sample Solutions
Lessons 2: Properties of Dilations
Problem Set
Materials
Lesson 2
Sample Solutions
Lesson 3: Examples of Dilations
Problem Set
Materials
Video Support
Video #1: Explore Dilations
Video #2: Identifying Dilations
Video #3: Geomtery-Dilations
Video #1: Drawing Dilations
Video #2: Constructing a Dilation
Video #3: Scalar Dilation Construction
Sample Solutions
Video #1: What is a dilation?
Video #2: Drawing Dilations
Video #3: Enlarging Shapes
Video #4: Dilation and Scale Factor Part 1
(Simplifying Math)
Lesson 3
Lesson 4: Fundamental Theorem of Similarity
Problem Set
Materials
Lesson 4
Sample Solutions
Lesson 5: First Consequences of FTS
Problem Set
Materials
Lesson 5
Sample Solutions
Video #1: Analyze dilation of parallelograms
Video #2: How do you find a scale factor in similar
figures?
Video #1: Understand that a dilation takes a line
not passing through the center to a parallel line
January 26 2016
Lesson 6: Dilations on the Coordinate Plane
Problem Set
Materials
Lesson 6
Sample Solutions
Lesson 7: Informal Proofs of Properties of Dilations
Problem Set
Materials
Lesson 7
Sample Solutions
Video #1: Dilation Of Objects On The Coordinate
Plane
Video #2: Coordinate Rules for Dilations on a
Graph
Video #1: 8th Grade Dilations and scale factor
Topic B: Similar Figures
•
8.G.A.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations,
reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between
them.
• 8.G.A.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel
lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so
that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
Lesson 8: Similarity
Problem Set
Materials
Sample Solutions
Video #1: Drawing Compositions of Isometries
Video #2: Determine if two figures are similar
using transformations and dilations
Video #3: Describe a sequence of transformations
Lesson 8
Lesson 9: Basic Properties of Similarity
Problem Set
Materials
Lesson 9
Sample Solutions
Video #1: Prove two figures are congruent after a
series of reflections, rotations or dilations
Video #2: The transitive property of Similar
Triangles
January 26 2016
Lessons 10: Informal Proof of AA Criterion for Similarity
Problem Set
Materials
Lesson 10
Sample Solutions
Lesson 11: More About Similar Triangles
Problem Set
Materials
Lesson 11
Sample Solutions
Lesson 12: Modeling Using Similarity
Problem Set
Materials
Lesson 12
Sample Solutions
Topic C: The Pythagorean Theorem
•
•
Video #1: Determine triangle similarity by
checking for corresponding congruent angles
Video #2: Show triangle similarity using
translation
Video #3: Establish triangle similarity using
translation and dilation
Video #4: Understand why the third angles of
similar triangles are congruent
Video #5: Similar triangles using Angle-Angle
Video #6: Prove AA similarity by overlapping
angles
Video #1: How do you find missing measurements
of similar figures using a scale factor?
Video #2: How to solve similar triangle application
problems: Flagpole Shadows
Video #3: Similar Triangles
Video #1: Application of similar triangles: part 1
Video #2: Application of similar triangles: part 2
Video #3: Application of similar triangles: part 3
Video #4: Application of similar triangles: part 4
Video #5: Application of similar triangles: part 5
Video #6: Application of similar triangles: part 6
Video #7: How to solve similar triangle application problems:
Flagpole Shadows
8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse.
8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three
January 26 2016
dimensions.
Lesson 13: : Proof of the Pythagorean Theorem
Problem Set
Materials
Lesson 13
Sample Solutions
Lesson 14: The Converse of the Pythagorean Theorem
Problem Set
Materials
Lesson 14
Sample Solutions
Video #1 What is the Pythagorean Theorem?
Video #2: How do you determine if a triangle is a
right triangle if you know its sides?
Video #3: Pythagorean Theorem proof from
similar right triangles
Video #1: How do you determine if a triangle is a
right triangle if you know its sides?
Video #2: Converse of the Pythagorean Theorem
Video #3: Converse of the Pythagorean Theorem