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Transcript
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