Honors Geometry: Curriculum Map/Guide with Standards
MathBits.com geometry notebook
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Quadratics Card
(Factoring & Solving Quadratic Equations)
Chapter 0 ~ Algebra Review
Chapter 1 ~ Tools of Geometry
Chapter 2 ~ Reasoning & Proof
CHAPTER 2 SUMMARY SHEET
Chapter 2 Notes Packet
Chapter 2 Notes ~ Backer's Copy
Chapter 2 Proofs - Schultz's Summary
Chapter 2 Proofs - Commonly Used Reasons
Chapter 2 Notes Packet
Chapter 2 Notes ~ Backer's Copy
Chapter 2 Proofs - Schultz's Summary
Chapter 2 Proofs - Commonly Used Reasons
Ha, ha, ha! Complementary angles...Get it?
All proofs must be done on proof paper!
PROOF PAPER |
LESSON 2.1 ~ Geometric Reasoning
* Read: Geometric Reasoning * Inductive Reasoning * Conditional Statements & Truth Values * Lesson 2.1 Reading Assignment * Lesson 2.1 worksheet LESSON 2.2 ~ Angle Pair Relationships * Complementary Angles: add = 90 * Supplementary Angles: add = 180 * Vertical Angles * More Angle Pairs * Lesson 2.2 worksheet LESSON 2.3 ~ Reasoning in Algebra * Lesson 2.3 worksheet LESSON 2.4 ~ Beginning Proofs * Lesson 2.4 worksheet LESSON 2.5 ~ Bisectors, Perpendicularity, & Vertical Angles * Lesson 2.5 worksheet * 2.REV.1 ~ Lessons 2.2 - 2.5 LESSON 2.6 ~ Complementary & Supplementary Angles * Lesson 2.6 worksheet LESSON 2.7 ~ Properties of Segments & Angles * Lesson 2.7 worksheet * 2.REV.2 ~ End of Chapter Review * EXTRA CHAPTER 2 EXAMPLES |
COMPLEMENTARY & SUPPLEMENTARY ANGLES
BACKER BREAKS IT DOWN:
There is a pattern when proving that two angles are complementary.
BACKER BREAKS IT DOWN:
There is a pattern when proving that two angles are complementary.
- A right angle is needed
- Next, an Angle Addition Postulate step (You need to show that the sum of two angles is a right angle.)
- Finally you can prove the two angles are complementary using the Definition of Complementary Angles.
- First, state the the two angles form a linear pair (assumed from diagram)
- Then you can prove they are supplementary via the Linear Pair Postulate
Chapter 3 ~ Parallel & Perpendicular Lines
Chapter 3 Notes Packet
Chapter 3 Notes ~ Backer's Copy LESSON 3.1 ~ Lines the the Coordinate Plane * Linear Equations Summary & Examples * Note sheet: Point-Slope Form * How to do #13 * Lesson 3.1 worksheet LESSON 3.2 ~ Parallel & Perpendicular Lines * Equations of Parallel Lines * Parallel Lines Summary & Examples * Equations of Perpendicular Lines * Perpendicular Lines Summary & Examples * Distance Between Lines & Points * Lesson 3.2 worksheet LESSON 3.3 ~ Angles Formed by Parallel Lines * Parallel Lines & Transversals * Angles formed by parallel lines * Lesson 3.3 worksheet LESSON 3.4 ~ Proofs with Parallel Lines * Lesson 3.4 worksheet LESSON 3.5 ~ Proving Lines Parallel * Notes on Using the Converse Theorems * Additional notes on proving lines parallel * A PowerPoint on proving lines parallel * Lesson 3.5 worksheet * 3.REV.1 ~ End of Chapter Review Chapter 3 Constructions * Construct a line parallel to a given line through a point not on the line * Construct a perpendicular bisector |
Chapter 4 ~ Similarity
Chapter 5 ~ Triangles & cONGRUENCE
CHAPTER 5 SUMMARY SHEET
Chapter 5 Notes Packet
Chapter 5 Notes ~ Backer's Copy
* Proof Paper
* Chapter 5 Proofs - Commonly Used Reasons
Chapter 5 Notes Packet
Chapter 5 Notes ~ Backer's Copy
* Proof Paper
* Chapter 5 Proofs - Commonly Used Reasons
Chapter 6 ~ Quadrilaterals
CHAPTER 6 SUMMARY SHEET
Chapter 6 Notes Packet
Chapter 6 Notes ~ Backer's Copy
Proving Quadrilaterals & Parallelograms Card
* Summary of Properties of Quadrilaterals and Proving Quadrilaterals
Chapter 6 Notes Packet
Chapter 6 Notes ~ Backer's Copy
Proving Quadrilaterals & Parallelograms Card
* Summary of Properties of Quadrilaterals and Proving Quadrilaterals
LESSON 6.1 ~ Parallelograms on the Coordinate Plane
* Lesson 6.1 worksheet LESSON 6.2 ~ Properties of Parallelograms * Introduction to Parallelograms (video) * Properties of Parallelograms * Example: algebra & opposite angles of a parallelogram (video) * Lesson 6.2 worksheet LESSON 6.3 ~ Proving Parallelograms * Lesson 6.3 worksheet * 6.REV.1 ~ Parallelograms LESSON 6.4 ~ Rectangles, Rhombi, & Squares * Example: algebra & diagonals of a rectangle (video) * Example: algebra & rhombus (video) * Lesson 6.4 worksheet LESSON 6.5 ~ Kites & Trapezoids * Lesson 6.5 worksheet * EXAMPLES of applying properties of quadrilaterals * 6.REV.2 ~ Lessons 6.1 - 6.5 LESSON 6.6 ~ Proving Special Quadrilaterals * Classifying a Quadrilateral on the Coordinate Plane (video) * Lesson 6.6.D1 worksheet * Lesson 6.6.D2 worksheet * 6.REV.3 ~ End of Chapter Review |
Chapter 7 ~ Right Triangles & Trig
Chapter 8 ~ Three-Dimension Figures
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CHAPTER 8 SUMMARY SHEET
Chapter 8 Notes Packet Chapter 8 Notes ~ Backer's Copy LESSONS 8.1 & 8.2 ~ Three-Dimension Figures * Cross Sections of 3D Figures * Stacking Visuals * Lesson 8.1 worksheet LESSON 8.3 ~ Volume of Prisms & Cylinders * Cavalieri's Principle (2) * Cavalieri's Principle (3) * Volume of Rectangular Prisms * Volume of Triangular Prisms * Volume of Cylinders * Lesson 8.3 worksheet LESSON 8.4 ~ Volume of Pyramids & Cones * Volume of Cones * Volume of Rectangular Pyramids * Volume of Triangular Pyramids * Lesson 8.4 worksheet LESSON 8.5 ~ Volume of Spheres * Volume of Spheres * Lesson 8.5 worksheet ALL Lessons: * Volume of Composite Figures Lesson 8.6 ~ Applications w/Volume * Lesson 8.6.D1 worksheet * Lesson 8.6.D2 worksheet * 8.REV.1 ~ End of Chapter Review |