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Georgia:
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All of Unit 1 P1
All of Unit 1 P2 |
| Unit 1-1: |
Geometric Definitions (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Geometer's Sketchpad Visuals
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF)
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| Unit 1-2: |
Transformation Types (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.CO.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
MGSE9-12.G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
MGSE9-12.G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Video Lessons: (p1, p2, p3, p4)
Sample Quiz: (Interactive, PDF)
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| Unit 1-3: |
Coordinate Transforms (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.CO.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
MGSE9-12.G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
MGSE9-12.G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Video Lessons: (p1, p2, p3, p4, p5, p6)
Sample Quiz: (Interactive, PDF) |
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| Unit 1-4: |
Compound Transforms (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.N.Q.1:Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems (a) Identify, use, and record appropriate units of meausre within context, within data displays, and on graphs; (b) Convert units and rates using dimensionsal analysis;(c)Use units within multipstep problems and formulas; interpret units of input and resulting units of output.
Geometer's Sketchpad Transform Demonstrations
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF)
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| Unit 1-5: |
Symmetries (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.A.APR.1:Add, subtract, and multiply polynomials; understand that polynomials form a system analogous to the integers in that they are closed under these operations.
Geometer's Sketchpad Symmetry Demonstrations
Video Lessons: (p1, p2)
Sample Quiz: (Interactive, PDF)
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| Unit 1-6: |
Parallel Lines & Angles (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.CO.9: Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
Power Point Presentation
Video Lessons: (p1, p2, p3, p4, p5)
Sample Quiz: (Interactive, PDF)
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| Unit 1-7: |
Congruence Statements (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.SRT.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, (and its converse); the Pythagorean Theorem using triangle similarity.
MGSE9-12.G.SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MGSE9-12.G.CO.6:Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
MGSE9-12.G.CO.7 : Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
MGSE9-12.G.CO.8: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. (Extend to include HL and AAS.)
Video Lessons: (p1, p2, p3)
Sample Quiz: (Interactive, PDF)
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| Unit 1-8: |
Triangle Proofs and More (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.SRT.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, (and its converse); the Pythagorean Theorem using triangle similarity.
MGSE9-12.G.SRT.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
MGSE9-12.G.CO.6:Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
MGSE9-12.G.CO.7 : Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
MGSE9-12.G.CO.8: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. (Extend to include HL and AAS.)
Geometer's Sketchpad Exploration 1
Geometer's Sketchpad Exploration 2
Video Lessons: (p1a, p1b, p2, p3, p4, p5, p6)
Sample Quiz: (Interactive, PDF)
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| TEST: |
Testing Item Banks for Exam View
(213 available questions for Unit 1)
Password Required
ExamView Video Instructions (How To Make a Test)
Author: Matt Winking |
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GO TO UNIT 2 |
