Geometry

Chapter 1
Unit 1-1 Unit 1-2 Unit 1-3 Unit 1-4 Unit 1-5 Unit 1-6
Unit 1-1 Points, Lines, & Planes Outline
  1. What are the dimensions of a point? of a line?
  2. Planes
    • What are colinear points?
    • What are coplanar points?
  3. Identifying lines and points in a plane
  4. Assignment 1-1: Part A Pg. 8 #8-10, 14-16, 17-22, 24, 27-30 Part B #56-64
Unit 1-2 Measuring and Constructing Segments
  • Standard 1b: Copy and compare segments for congruence.
  • Standard 1c: Use the Segment Addition Postulate to solve for missing segment lengths.
Outline
  1. Distance or Length of a Line Segment
  2. Algebra Review: Absolute Value & Distance, and Solving for a Variable
  3. Segment Addition Postulate
  4. Solving for Missing Line Segment Lengths
  5. Assignment 1-2: Pg 10 #65-68, Pg. 16 #9-12, 29, 31, 32, 36
Unit 1-3 Using Midpoint and Distance Formulas
  • Standard 1d: Use the Midpoint Formula to find midpoints and bisectors of line segments
  • Standard 1e:Use the Distance Formula and the Pythagorean Theorem segment lengths using midpoints and segment bisectors
Outline
  1. The Pythagorean Theorem
  2. Distance between points
    • Horizontal Distance (x)
    • Vertical Distance (y)
  3. Finding segment lengths using midpoints and segment bisectors
  4. The Distance Formula
  5. Midpoint Formula
  6. Assignment 1-3: Part A Pg. 24 #1-10, 16-30 even, 36-40 Part B Pg. 26 #41, 42, 45
Unit 1-4 Perimeter and Area in the Coordinate Plane
  • Standard 1f: Classify polygons
  • Standard 1g: Find perimeters and areas of polygons in the coordinate plane.
Outline
  1. Classifying Polygons
  2. Using the Distance Formula to Classify a Polygon
  3. Using Slope to Classify a Polygon in the coordinate plane
  4. Assignment 1-4: Pg. 34 #3-10, 13-22, 30
  • Screencast
  • Powerpoint
  • PDF Slides
  • Geogebra
Unit 1-5 Measuring and Constructing Angles
  • Standard 1h: Name, measure, and classify angles.
  • Standard 1i: Identify congruent angles and equal angle measures.
  • Standard 1j: Use the Angle Addition Postulate to solve for angle measures.
  • Standard 1k: Construct and Bisect Angles.
Outline
  1. Constructing an Angle with a Protractor and/or Compass
    • Replicating an angle with a compass
    • Constructing a right angle
    • Constructing acute and obtuse angles
  2. Angle Addition Postulate
  3. Assignment 1-5: Pg. 43 #4-12 even, 23, 24, 26, 27, 34, 38, 39 Part B #31, 32
Unit 1-6 Describing Pairs of Angles
  • Standard 1l: Identify complementary and supplementary angles. Identify linear pairs and vertical angles.
  • Standard 1m: Identify and solve for complementary and supplementary angles.
  • Standard 1n: Identify and solve for linear pairs and vertical angles.
Outline
  1. Adjacent Angles
    • Angle Addition Postulate
    • Linear Pairs
  2. Vertical Angles
  3. Complimentary Angles
  4. Supplementary Angles
  5. Constructing Angles
    • Constructing a Linear Pair
    • Constructing Adjacent Angles
  6. Assignment 1-6: Part A Pg 52 #3-6, 8, 10, 11-18, 20 Part B #29, 30