FIRST QUARTER
Chapter 1:
· Intro to Geometry
· Two Column proof
· Probability
· Geometry in Nature
· Career Profile Trial Lawyer used Deductive Reasoning
Chapter 2:
· Perpendicular Lines
· Complementary and Supplementary Angles
· Add, Subt., Mult., and Div. Angles and Segments
· Transitive and Substitution properties angles and segments
· Vertical angles
· Career Profile Bees and Geometry
Chapter 3:
· Proving triangles congruent
· Using congruent triangles to prove congruent parts
· Types of triangles
· Theorems for isosceles triangles
· Congruent triangles used to produce taller and stronger buildings
· Career Profile Patterns used to decide the past
SECOND QUARTER
Chapter 4:
· Perpendicularity
· Perpendicular bisectors
· Equidistance
· Career Profile Plotting the structure of a molecule using Geometry
· Computer Use: “Green Globs” Changing slope and intercepts on linear equations
Chapter 5:
· Parallel lines
· Pairs of angles (alt. Int. and ext. some-side int. and ext. corres.)
· Special types of quadrilaterals
· Historical snapshot - Inductive Reasoning used in maps
· Career Profile Navigation using a sextant
Chapter 6:
· Lines and Planes in Space
· Historical Snapshot - Probability and Pi
· Career Profile Geometry in architecture
· Computer Use “Geometer’s Sketchpad” Create 3 dimensional figures
Chapter 7:
· Polygons
· Sum of measures
· Total number of diagonals
· Regular Polygons
· Career Profiles Angle measure and diamonds
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THIRD QUARTER
Chapter 8:
· Similar polygons
· Proofs similar polygons
· Ratio and proportion
· Geometry of coasting upside down
Chapter 9:
· Pythagorean Theorem
· Mean Proportional
· Right triangle families
· Special right triangles
· Career Profile - Using lasers to measure distances
Chapter 10:
· Circles
· Arcs
· Chords, secants, and tangents
· Angles of circles
· Career Profile Orbits of planets and asteroids
FOURTH QUARTER
Chapter 11:
· Area
· Ratios of areas
· Hero’s and Brahmagupta’s formulas
· Crystal patterns in molecules
Chapter 12:
· Surface area
· Volume
· Career Profiles Packaging Engineer
· Historical Snapshot The shape of the universe
Chapter 13:
· Coordinate Geometry
· Slope
· Writing linear equations
· Systems of equations
· Graphing inequalities
· Equations of circles
· Career Profile Ultrasound and the 3-D coordinate plane
· (There generally is not enough time to cover this entire chapter.)
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