Chapters and content

Syllabus - Geometry

Fall 2017

Instructor Name: Mr. Soule

E-Mail: asoule@sanford.org

Available after school: Typically all days except Wednesday

Please let me know if you need a video, worksheet, or additional notes on a topic.

Learning Objectives:

Chapter 0

• Algebraic Expressions
• Linear equations
• Linear inequalities
• Ordered Pairs
• Systems
• Square roots and simplifying radicals

Unit 1: Tools of Geometry

Remember, for extra practice materials- use the online text! Same pages as we use in class.

• GA. Experiment with transformations in the plane
• NQC. Reason quantitatively and use units to solve problems

1-1  Points, lines, planes

1-2  segments

1-3  points and midpoints

1-4  Angle measure

1-5  angle and constructions  (see website for help on basic constructions)  Pg.42#42

Tough problem in class HERE

1-7 transformations  (be sure to use rules on page #70)

1-8  3-dimensional (rules on page#78)  pg.80#19,21,23.  pg.101#45,47  Some extra practice HERE

Unit 2: Logical Arguments and Line Relationships
Remember, for extra practice materials- use the online text! Same pages as we use in class.

• NQC. Reason quantitatively and use units to solve problems.
• GC. Prove geometric theorems
• AH. Understand solving equations as a process of reasoning and explain the reasoning.
• FB. Interpret functions that arise in applications in terms of the context.

(Logical Arguments will come later on, and we will revisit)

2-7 parallel lines and transversals KNOW all relationships on page #169. Pg.174+#34,35,37,39,49 Pg.176#57,59,61
(you NEED to know these relationships. These will not be written on the board)

2-8 slopes and equations pg.181#1,3,5,7,9 Pg.182#17,21,25,29,31,33,41

2-10 perpendiculars and distance pg.200#15,17,19,21,23,27,31,33

Unit 3: Rigid Transformations and Symmetry
Remember, for extra practice materials- use the online text! Same pages as we use in class.

• GA.Experiment with transformations in the plane
• GH. Use coordinates to prove simple geometric theorems algebraically.

Basically guys...if you flip thru these pages, you will KNOW what we practiced. If you can CONSTRUCT reflections, translations, and rotations...you are great! If you can determine all the isometries using the charts for (x,y) shortcuts...perfect! This SHOULD be a relatively easy quiz?!
Let me know if you need ANY extra practice materials! 3-1 reflections

3-2 translations

3-3 rotations

3-4 compositions of transformations

3-5 symmetry

Unit 4: Triangles and Congruence
Remember, for extra practice materials- use the online text! Same pages as we use in class.

• GB. Understand congruence in terms of rigid motions.
• GC. Prove geometric theorems.
• GH. Use coordinates to prove simple geometric theorems algebraically.
• 
  

4-1 angles

4-2 congruent

4-3 SSS SAS

4-4 ASA AAS

4-5 right triangles

4-6 isosceles and equilateral

4-7 coord. proof

Unit 5: Relationships in Triangles

• GC. Prove geometric theorems
• AI. Solve equations and inequalities in one variable.

5-1 bisectors

5-2 medians and altitudes

5-3 inequalities

5-5 tri inequalities

5-6 2 triangle inequalities

Unit 6: Quadrilaterals

• GC. Prove geometric theorems
• AI. Solve equations and inequalities in one variable.

6-1 angles of polygons

6-2 parallelograms

6-3 tests

6-4 rectangles

6-5 rhombi, squares

6-6 trapezoids and kites

Unit 7: Similarity

• GD. Prove theorems involving similarity
• AI. Solve equations and inequalities in one variable.

7-1 dilations

7-2 similar

7-3 AA

7-4 SSS, SAS

7-5 parallel and proportional

7-6 parts

Unit 8: Right Triangles and Trigonometry

• GE. Define trigonometric ratios and solve problems involving right triangles.
• AI. Solve equations and inequalities in one variable.

8-1 geometric mean
8-2 Pythagorean and converse
8-3 Special Right Triangles
8-4 Trigonometry
8-5 Elevation and depression
8-6 Law of Sines
8-7 Law of Cosines

Unit 9: Circles

• GF. Understand and apply theorems about circles
• GG. Find arc lengths and areas of sectors

9-1 circles

9-2 angles and arcs

9-3 arcs and chords

9-4 inscribed angles

9-5 tangents

9-6 secants, tangents, angle measures

9-7 equations of circles

9-8 equations of parabolas

Unit 10: Extending Area

• GF. Understand and apply theorems about circles
• GG. Find arc lengths and areas of sectors

10-1 areas, Parallelograms and triangles

10-2 trapezoids, rhombi, kites

10-3 circles and sectors

10-4 polygons and composite

10-5 non rigid

10-6 surface area

Unit 11: Extending Surface Area and Volume

• GA. Experiment with Transformations in the Plane
• GI. Explain volume formulas and use them to solve problems
• AG. Create Equations that describe numbers or relationships

11-1 cross sections

11-2 prism and cylinders

11-3 pyramids and cones

11-4 spheres