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Geometry is a comprehensive course that incorporates both lecture and problem solving methods essential to enhancing the student’s knowledge of the subject matter to ensure success at the next level. This course’s focus is on logical and critical thinking in the form of two column proofs dealing with segments and angles, congruent / similar triangles, parallel and perpendicular lines, special quadrilaterals and triangles, introduction to trigonometry along with coordinate geometry and properties of circles. The course includes recognizing the advanced techniques in solving systems equations two variables, and simplifying rational and irrational numbers.
Geometry Syllabus Available Below
Chapter 1-Tools for Geometry
What is Geometry and what types of Geometry are there?
Euclidean, Riemannian, and Hyperbolic
1-2 Points, Lines & Planes.
Euclidean Vector
1-3 I can solve for missing segments.
Segment Addition Postulate Example
Segment Addition Postulate and Midpoint
1-4, 1-5 Angles - I can calculate angles given multiple lines.
Measuring Angles with a Protractor
Supplementary, Complementary and Vertical Angles
Supplementary and Complementary Angles Pair Match <------------
Complementary, Supplementary, and Vertical Angles <---------
Finding Angles Between Two Points
Clocks Angles Calculator <----------
Clocks and Angles <----------
Interactive Teaching Clock <-----------
1-7 Midpoint Formula / Distance Formula
Distance Formula Calculator (check your answers)
Simplify Radicals Calculator (check answers)
Latitude/Longitude Distance Calculator
Finding Distance Based On Latitude and Longitude
Finding Second Endpoint Given Midpoint and Endpoint
1-8 Perimeter, Circumference and Area
Finding Area and Perimeter of Rectangles
Trapezoids, Parallelograms, Triangles
Polygon Area Calculator (check answers)
Chapter 1 Review
10/6 10/7 Geometry Plans Class C, D, G
Chapter 2 - Reasoning and Proof
2.1 Patterns and Inductive Reasoning
Deductive Reasoning vs Inductive Reasoning
Inductive Reasoning (10/20, 10/24)
Formula for Consecutive Odd Even Integers
Geometric Sequence (10/20, 10/24)
Geometric Sequence Assignment (10/27, 10/28)
Number of Segments (problem from final)
2.4 Deductive Reasoning
Deductive Reasoning Practice Exercise
Deductive Reasoning Practice ML
Geometry Practice on Law of Detachment and Law of Syllogism
Extra Practice for 2.1 & 2.4 (10/25 HW)
Extra Practice for 2.1 & 2.4 With Answers (10/25 HW)
Einstein's Puzzle (10/27 In Class)
Inductive and Deductive Reasoning Quizlet (11/15)
2.5 Proofs
Reasoning Using Properties From Algebra
Properties of Equality Quiz (11/7 in class)
Properties of Equality and Congruency
Logic and Proof Equality and Congruence for All! (11/7 in class)
2.6 Proving Angles Congruent
Postulates, Theorems and Proofs (11/9)
Postulates, Theorems and Proofs (Simplifying Math) (11/9)
Proving Angles Congruent <--------------------------------------------Lance!
Proving Angles Congruent Quizlet (11/15)
Chapter 3 - Parallel and Perpendicular Lines
3.1 Lines and Angles
Parallel Lines and Transversals
3.2 Properties of Parallel Lines
Theorems and Postulates for Geometry
Angles Test, Parallel Lines Cut By Transversal Test (12/1)
Angle Properties - Parallel Lines (11/28, 11/29)
3.3 Proving Lines Parallel
Proving Lines Parallel - Math Story
3.3 Proving Lines Parallel Powerpoint (11/28, 11/29)
Proving Lines Parallel Slides (11/30, 12/1)
3.4 Parallel and Perpendicular Lines
Proving Lines Parallel Powerpoint (11/28, 11/29)
3.5 Parallel Lines and Triangles
Semester 2
3.7 Equations of Lines in the Coordinate Plane (1/4, 1/5)
3.8 Slopes of Parallel and Perpendicular Lines
Chapter 3 Review
Parallel Lines, Transversals, Triangles
Angles Test, Parallel Lines Cut By Transversal Test (12/12)
Chapter 4 Congruent Figures
4.1 Proving Congruent Figures in different methods.
Similar and Congruent Shape Game
4.2 & 4.3 Employing the SSS, SAS, ASA and AAS theorems.
Warm Up: Critique Else's Reasoning
G6 Notes Proving Triangles Cong
4.4 Using Corresponding Parts of Congruent Triangles to prove congruency.
CPCTC - Concept Video 1.20, 1.19
Triangle Congruence: CPCTC (lance, review)
4.5 Describing Isosceles and Equilateral Triangles.
Equilateral and Isosceles Triangles Quiz
Properties of a Perpendicular Bisector
4.6 Proving Congruence in Right Triangles <----Geometry C HW
Congruence: Hypotenuse-Leg (HL) Congruence Theorem
Notes: All Congruent Triangles
4.7 Proving Congruence in Overlapping Triangles
Chapter 4 Review
Chapter 4: Congruent Triangles
Geometry 1 Unit 4 Congruent Triangles
Plane Geometry Unit 4 Chapter 4
Semester 2
Chapter 5 Relationships Within Triangles
5.1 Midsegments in Triangles
5.2 Perpendicular and Angle Bisectors
5.3 Bisectors in Triangles ( Circumcenter and Incenters )
5.4 Medians and Altitudes ( in Triangles )
Centroid and Orthocenter Powerpoint
5.5 Indirect Proof
Indirect Proof Powerpoint 2/24
5.6 Inequalities in One Triangle
Inequalities in One Triangle Video
Inequalities in One Triangle Powerpoint 2/28
5.7 Inequalities in Two Triangles
Mixed Review on Triangle Relationships
Chapter 6
6.1 The Polygon-Angle Sum Theorems
Polygons - Interior Angles Applet
Angles in Polygons Powerpoint (Geometry G, Take notes on Powerpoint) 3/8 3/14
6.2 Properties of Parallelograms
Properties of Parallelograms Powerpoint
Properties of Parallelograms Quiz 3/15 3/16
6.3 Proving That a Quadrilateral is a Parallelogram
Proof: Opposite Sides Of A Parallelogram
Parallelograms Proofs Practice 3/21 3/22 (MEM)
6.4 Properties of Rhombuses, Rectangles, and Squares
Properties of Parallelograms Powerpoint 3/21 3/22
6.5 Conditions for Rhombuses, Rectangles, and Squares
Conditions for Rhombuses, Rectangles, and Squares Powerpoint
6.6 Trapezoids and Kites
Properties of Parallelograms Powerpoint 3/23 3/24
6.7 Polygons in the Coordinate Plane
Polygons in the Coordinate Plane
6.8 Applying Coordinate Geometry
Applying Coordinate Geometry Video
Practice Applying Coordinate Geometry
Chapter 7 - Similarity
7.1 Ratios and Proportions
Ratio and Proportion Powerpoint 4/2 4/3
7.2 Similar Polygons
Similar Polygons Powerpoint 4/4 4/5
7.3 Proving Similar Triangles
Proving Similar Triangles Powerpoint (JR, AB, UG) 4/6 4/9
Methods for Proving Triangles Similar (JR, AB, UG)
7.4 Similarity in Right Triangles
Use Similar Right Triangles (JR, AB, UG)
Similar Right Triangles Animation (JR, AB, UG)
Geometric Mean Video (JR, AB, UG)
Radical Simplifying Millionaire Game 4/10
7.5 Proportions in Triangles
Chapter 7 Review
Chapter 8 - Right Triangles and Trigonometry
8.1 Pythagorean Theorem
I know the Pythagorean Theorem.
Pythagorean Theorem in Two Minutes
I can employ the Pythagorean Theorem to check if it is a right triangle.
How to check if a triangle is a Right Triangle
I can employ the Pythagorean Theorem to find an unknown side.
Pythagorean Theorem Simulation
Pythagorean Theorem Jeopardy Game 2
I know what a Pythagorean Triple is.
101 Primitive Pythagorean Triples
I can utilize the Pythagorean Theorem to solve real world problems.
Applying The Pythagorean Theorem
Real World Pythagorean Theorem Uses
8.2 Special Right Triangles
45-45-90 Right Triangles Practice (5/5) <----------------
30-60-90 Right Triangles Practice (5/5) <----------------
8.3 Trigonometry
Right Triangle Trigonometry Presentation
Right Triangles and Trigonometry Quiz
How to Solve for the Height Using Trigonometric Functions
Solving Right Triangles Worksheet (warm up 5/18 5/19)
Chapter 10 - Area
10.1 Areas of Parallelograms and Triangles
Area of Parallelograms and Triangles Quiz (5/3)
10.2 Areas of Trapezoids, Rhombuses and Kites
Trapezoids, Parallelograms, Triangles
Area of Trapezoids, Rhombi and Kites Quiz (5/3)
10.3 Areas of Regular Polygons
Area of Regular Polygons Video (5/3)
Area of Regular Polygons Quiz (5/17)
Chapter 11 - Surface Area and Volume
11.1 Space Figures and Cross Sections
Quizlet Space Figures and Cross Sections
Space Figures and Cross Sections
11.2 Surface Areas of Prisms and Cylinders
Surface Area of Prisms Quiz (5/18)
Surface Area of Cylinders Quiz (5/18)
11.3 Surface Areas of Pyramids and Cones
Surface Areas of Pyramids and Cones
11.4 Volumes of Prisms and Cylinders
Volume of Prisms and Cylinders Game
11.5 Volumes of Pyramids and Cones
11.6 Surface Areas and Volumes of Spheres