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Mr. Gussaroff's Math Site!
Geometry
Finals Review Packet
Helpful Video Links.
Module 1 (Segment Lengths, Midpoints, Angles)
Line, Segment, Ray video
Planes Video
Using the Pythagorean Theorem to Calculate Distance
Using the Distance Formula to Calculate Distance
Finding the Midpoint
Finding an Endpoint When the Midpoint is Known
Segment Addition Postulate Problems Solved
Defining an Angle
Complementary and Supplementary Angles
One Angle Addition Problem Solved
Angle Addition Postulate and Angle Bisector Problems Solved
Module 2 (Transformations) also useful for Module 3
Transformations Using Coordinate Notation - Video
Translations- Khan Academy
Reflections Over a Line - Khan Academy
Rotations - Youtube Video
Module 3 (Congruence)
Congruence - Khan Academy
Module 4 (Parallel/Perpendicular Lines)
Transversals and parallel lines - Khan Academy
Transversals and parallel lines 2 -Khan Academy
Specific Angle Relationships formed by Parallel Lines
Transversals and parallel lines 3 - Khan Academy (Solving for a variable!)
Solving for the Equation of a Parallel Line
Solving for the Equation of a Perpendicular Line
Slope Basics (What is slope?!)
Calculating the Slope of a Line - Rise/Run
Calculating Slope using a formula
Module 5 and 6 (SSS, SAS, AAS, ASA, HL)
Overview of All Triangle Congruence Theorems
Example of a SAS two-column proof
Example of determining congruence by noticing Alternate Interior Angles and Vertical Angles
Good Examples of Multiple 2-column Proofs
Module 7 (Isosceles, Equilateral, Exterior Angles, Inequalities)
The Triangle Sum Theorem Explained by tearing paper
Proof of Triangle Sum Theorem using Parallel Lines
Interior Angle Sum of a Polygon [(n-2)180°]
Exterior Angle Sum Theorem
Triangle Inequalities
Module 9 Videos (Quadrilaterals)
Quadrilateral Basics
Quadrilateral Basics Part 2
Proving opposite sides of parallelograms are congruent - Khan Academy (watch the 2 videos following this one as well)
Proof that the diagonals of a Rhombus are perpendicular bisectors
Module 10 Videos (Coordinate Proofs)
Mr. G video aligned with Distance powerpoint
Mr. G video aligned with Slope powerpoint
Proving what type of quadrilateral, using slopes - Khan Academy
Parallel and Perpendicular Slopes
Proving a Square with both Slope and Distance
Module 11 and 12 (Similarity and Dilations)
Solving For Missing Sides of Similar Triangles (using ratios)
Finding Scale Factor
Triangle Similarity Theorems
Module 13 - Trigonometry
Basics of Trig - Khan Academy
Math BFF - Solving for a Side Using Trigonometry
Module 15 (Circles - segments and angles)
Arc Measure Intro
Finding Arc Measures
Inscribed Angles
Inscribed Angle Theorem Proof
Inscribed Quadrilateral Proof
More Inscribed Quadrilaterals
Tangent Problem Solved 1
Tangent Problem Solved 2
Module 16 and 17 (Circles - Arc Length and Sector Area)
Circles - Basics - Khan Academy
Circumference and Area of Circles
Arc Length - Khan Academy
Radian Basics - Khan Academy
Converting Degrees to Radians - Khan Academy
Sector Area
Derivation of the Equation of a Circle
Module 18 and 19 (Volume, Surface Area, and Cross-Sections)
Volume Basics
Surface Area of a Cylinder
Surface Area and Volume of a Cylinder
Surface Area of Many 3d Figures
Rotating 2d shapes to get 3d shapes - Khan Academy
Slicing Shapes to get Cross-Sections
Rotating 2d shapes interactive
Cross-Section Interactive
Powerpoints , Notes, Studyguides.
Module 1 Powerpoints:
Pythagorean Theorem Powerpoint
Geometry Basic Terms Powerpoint
Geometry Basic Terms Espanol
Segment Addition, Angle Addition, and Related Definitions
Module 2 and 3 Notes and Study Guides:
Transformation Worksheet aligned with notes below
Coordinate Notation and Translation Notes (Sept 18 and 19) PDF
Reflection Notes (Sept 19 and 21) PDF
Rotation Notes (Sept 22) PDF
Module 2 Test Study Guide PDF
Module 3 NEW Study Guide (Nov 11), PDF
Module 2 and 3 Powerpoints:
Reflection Powerpoint
Rotation Powerpoint
Symmetry Basics Powerpoint
Degree of Rotational Symmetry
Congruence/Proof Powerpoint
Module 4 Powerpoints
4.2, Int/Ext Angle Powerpoint
Slope Powerpoint
Module 5 and 6 Powerpoints (SAS, SSS, ASA, AAS, HL)
Triangle Congruence Theorems PP
Triangle Proofs PP
Module 7 Powerpoints (Isosceles, Equilateral, Exterior Angles, Inequalities)
Interior Angles of Triangles and Polygons
Exterior Angles of Triangles and Polygons
Equilateral and Isosceles Triangles
Triangle Inequalities
Module 9 (Parallelograms/Quadrilaterals)
Parallelogram Powerpoint
Rectangle, Rhombus, Square Powerpoint
Trapezoid Powerpoint
Module 10 - Coordinate Proofs
Using Distance To Prove Powerpoint
Using Slope to Prove Powerpoint
Module 11/12 - Dilations, Similarity, and Proportions
Module 11 and 12 Notes
Module 13 - Trigonometry
Trig Notes Day 1
Trig Notes Day 2
Basic Trig Function Powerpoint
Quarter 3 Exam Practice Material
Mod 5/6 Study Guide
Triangle Proofs
Mod 9 Quadrilateral Organizer
Mod 9 Study Guide
Mod 11/12 Study Guide
Mod 13 Practice
Module 15 - Circles (Angles and Segments
Powerpoint 1 (Central Angles and Inscribed Angles)
Notes 15.1 Central Angles and Inscribed Angles, PDF
Powerpoint 2 (Inscribed Quadrilaterals)
Notes 15.2 Inscribed Quadrilaterals, PDF
Powerpoint 3 (Tangents)
Notes 15.3 Tangents, PDF
Powerpoint 4 (Secants)
Notes 15.4 Chords and Secants, PDF
Powerpoint 5 (Secant angles)
Notes 15.5 Chords and Secants (Angles), PDF
Module 16 and 17 - Circles (Arcs, Sectors, Radians)
Arc Length and Sector Area
Equation of a Circle
Class Lectures and Study Guide Videos
Module 1
Distance Between Two Points
Distance Formula
Midpoints
Segment Addition Postulate
Angle Basics - Complementary and Supplementary Angles
Angle Basics - Naming and Notating Angles
Angle Bisectors
Angle Addition Postulate
Linear Pair Theorem
Algebraic Proof - Angle Addition Postulate
Module 2/3
Module 3 Study Guide Problems Solved
Module 3 Study Guide 2 Problems Solved
Module 5/6
Review video for triangle proofs test
Module 9
Rectangles, Rhombi, and Squares vid
Module 7
Interior Angles of Polygons
Module 16/17
Circles 1 (Area and Circumference)
Circles 2 (Arc Length and Sector Area)
Circles 3 (Equation of a Circle)
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AP Calculus
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