Download Geo A Syllabus

Geometry (Integrated Algebra) Timeline
Unit 1: Geometric Lines (Numeric)
A: Points, Lines, Segments, Planes (Definitions)
B: Naming Points, Lines, Segments, Planes
C: Measuring
1.
2.
3.
4.
Using Rulers (inches and cm)
Segment Addition Postulate
Midpoint
Bisectors
D: Congruent Segments
E: Intersecting Lines
F: Parallel (Definitions and Constructions)
Unit 2: Using Algebra with Geometric Lines
A: One and Two step Equations
B: Multistep Equations
1.
2.
3.
4.
Congruence
Segment Addition Postulate
Midpoint of a segment
Bisectors
C: Slope of Lines (Include Horizontal and Vertical Lines)
D: Graphing Parallel lines using slope intercept form
Unit 3: Angles (Numeric)
A: Defining Angles and Rays (Vertex, Acute, Obtuse, Right, Straight)
B: Three ways of Naming Angles (By vertex, with three points, with a number inside the angle)
C: Measuring Angles
1. Using Protractors
2. Angle Addition Postulate
3. Angle Bisectors
D: Congruent Angles (Define and Construct)
F: Complimentary and Supplementary (Linear Pair) Angles
E: Vertical Angles
F: Perpendicular (Definitions and Constructions)
2016-2017
Geometry (Integrated Algebra) Timeline
2016-2017
Unit 4: Using Algebra with Angles
A: Multistep Equations for Angles
1.
2.
3.
4.
5.
Angle addition postulate
Bisectors
Supplementary Angles/ “Linear Pair”
Complementary Angles
Vertical Angles
B: Slope of Perpendicular Lines (Using slope-intercept)
Unit 5: Transversal Lines
A: Defining Angles
1. Alternate Interior/Exterior
2. Corresponding
3. Same Side Interior
B: Parallel Lines Cut by a Transversal
1. Congruent Pairs
2. Supplemental Pairs
C: Algebra of Parallel Lines Cut by a Transversal
Unit 6: Triangles (Numeric)
A: Naming and Classifying Triangles with Sides (Scalene, Isosceles, Equilateral) and Angles
(Acute, Obtuse, Right).
B: Special Segments of Triangles (Median, Altitude, Perp. Bis.)
C: Triangle Angle Sum Theorem
D: Triangle Inequality Theorem
E: CPCTC (Triangle Congruency Statements)
1. Rotating Triangles
2. Reflecting Triangles
3. Translating Triangles
F: Using Triangle shortcuts to compare Triangles (SSS, SAS, AAS, ASA)
G: Similar vs Congruent Triangles
Geometry (Integrated Algebra) Timeline
Unit 7: Using Algebra with Triangles
A: Triangle Sum Theorem
B: Area of Triangles
C: Pythagorean Theorem
D: Proportional Triangles
E: Proportions of Special Right Triangles
F: Applying Right Tringle Trigonometry (sine, cosine, tangent)
Unit 8: Polygons
A: Area and Perimeter
B: Angle Theorems
1. Interior Angles
2. Exterior Angles
C: Paired Down Quadrilateral Properties
Unit 9: Surface Area and Volume (No Pythagorean or Trig involved in this chapter)
A: Literal Equations and Formulas.
B: Surface Area
1. Prisms and Cylinders
2. Cones and Pyramids
3. Spheres.
2016-2017
Geometry (Integrated Algebra) Timeline
C: Volume
1. Prisms and Cylinders
2. Cones and Pyramids
3. Spheres.
D: Surface Area and Volume of Composite Figures
Unit 10: Circles
A: Parts of a Circle (radius, diameter, chord, arc)
B: Tangents to Circles
C: Distance to Chord
D: Circle Segments
E: Circle Angles
F: Circumference and Arc Length
G: Area and Sectors
2016-2017