Unit 4 Rigid Transformations & Congruence
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
Building Toward:
NC.8.G.2
Building On:
NC.4.MD.6
I know the difference between translations, rotations, and reflections.
I can identify corresponding points before and after a transformation.
2
Addressing:
NC.8.G.2
Building Toward:
NC.8.G.2
Building On:
NC.7.G .1
I can use grids to carry out transformations of figures.
I can decide which type of transformations will work to move one figure to another.
I can use the terms translation, rotation, and reflection to precisely describe transformations.
Grid Moves
Digital Manipulative
3.2 Transformation Information
Khan Academy Videos
Khan Academy Practice
Making the Moves
Digital Manipulative
Khan Academy Videos
Khan Academy Practice
Video Lesson Summary: Rigid Transformations From Illustrative Mathematics
3
I can apply transformations to points on a grid if I know their coordinates.
Digital Manipulative
5.2 Reflecting Points on the Coordinate Plane
5.3 Transformation of a Segment
Khan Academy Video
Reflecting Points Across Horizontal and Vertical Lines
Reflecting Quadrilateral Over x-axis
Khan Academy Practice
Video Lesson Summary: Rigid Transformations From Illustrative Mathematics
4
Addressing:
NC.8.G.2
NC.8.G.3
Building On:
NC.4.MD.1
I can apply transformations to a polygon on a grid if I know the coordinates of its vertices.
I can describe the effects of a rigid transformation on the lengths and angles in a polygon.
Describing Transformations
Khan Academy Videos
Khan Academy Practice
No Bending or Stretching
Digital Manipulative
Khan Academy Videos
Introduction to Transformations
Finding Measures Using Rigid Transformations
Properties Preserved After Rigid Transformations
Khan Academy Practice
Find Measures Using Rigid Transformations
Video Lesson Summary: Rigid Transformations From Illustrative Mathematics
Video Lesson Summary: Properties of Rigid Transformations From Illustrative Mathematics
5
Addressing:
NC.8.G.2
Building Toward:
NC.8.G.2
Building On:
NC.7.G.5
I can describe how to move one part of a figure to another using a rigid transformation.
I can describe the effects of a rigid transformation on a pair of parallel lines.
If I have a pair of vertical angles and know the angle measure of one of them, I can find the angle measure of the other.
Rotation Patterns
Digital Manipulative
8.3 A Pattern of Four Triangles
YouTube Video
IXL Math
Rotations - Find the Coordinates
Moves in Parallel
YouTube Video
Rigid Motions and Parallel Lines
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Properties of Rigid Transformations From Illustrative Mathematics
6
I can find missing side lengths or angle measures using properties of rigid transformations.
7
I can decide visually whether or not two figures are congruent.
8
I can decide using rigid transformations whether or not two figures are congruent.
9
I can use distances between points to decide if two figures are congruent.
YouTube Video
Khan Academy Videos
Testing Congruence by Transformations
Congruence by Transformation Example
Khan Academy Practice
Congruence and Transformations
Video Lesson Summary: Congruence From Illustrative Mathematics
10
Addressing:
NC.8.G.2
NC.8.G.5
Building On:
NC.7.G.5
If I have two parallel lines cut by a transversal, I can identify alternate interior angles and use that to find missing angle measurements.
Khan Academy Video
Angles Between Transversal and Parallel Lines
Geogebra
Khan Academy Practice
Angle Relationships with Parallel Lines
Video Lesson Summary: Angles in a Triangle From Illustrative Mathematics
11
Addressing:
NC.8.G.2
NC.8.G.5
Building On:
NC.7.G.2
If I know two of the angle measures in a triangle, I can find the third angle measure.
12
Addressing:
NC.8.G.5
Building Toward:
NC.8.G.6
Building On:
NC.7.NS.3
NC.8.G.2
I can explain using pictures why the sum of the angles in any triangle is 180 degrees.
Digital Manipulative
Khan Academy Videos
Proof: Sum of Measures of Angles in Triangle are 180 Degrees
Khan Academy Practice
Finding Angle Measures Using Triangles
Video Lesson Summary: Angles in a Triangle From Illustrative Mathematics