Download Geometry Scope and Sequence

Geometry Scope and Sequence
Throughout this course and all others in the SD93 Math Curriculum, correct and accurate
vocabulary should be emphasized. Throughout the Geometry Course, it is Essential to emphasize
correct notation.
Unit 1 One Dimensional Geometry/Tools of Geometry
Topic
Develop the Concepts of Point, Line and Plane
Develop/Define and Apply the Concepts of
 Theorem
 Postulate
 Axiom
 Ray
 Line Segment
 Parallel Lines
 Perpendicular Lines
 Skew Lines
 Ruler Postulate
 Segment Addition Postulate
 Angle Addition Postulate
 Angle (Classify)
Properties of Intersecting Lines
 Vertical Angles
 Adjacent Angles
 Complementary Angles
 Supplementary Angles
Coordinate Geometry
 Review Cartesian Coordinate Plane
 Review Distance and Midpoint Formulas
 Prove the Slope Criteria for Parallel and Perpendicular Lines
 Use the Slope Criteria to Solve Geometric Problems
 Use and Apply Ratios to Rays
Constructions
 Parallel Lines
 Perpendicular Lines
 Copy a Line Segment
 Copy an Angle
 Bisect a Line Segment
 Perpendicular Bisector of a Line Segment
 Bisect an Angle

Transformations
 Develop the Concepts of Rotation, Reflection, Translation
and Dilation
 Use Function Notation to Describe Transformations
 Understand that Dilation Does Not Maintain Congruence
days
Resources Available/Notes
While Rotation, Reflection and Translation Do (Rigid
Motion Maintains Congruence)
 Draw Transformations
 Specify a Series of Transformations that will Carry a Given
Figure Onto Another
Proofs (Introduction)
 Proof Structure
--Paragraph Proofs
--Flow Proofs
--Two-Column Proofs
--Indirect Proofs
 Theorems Include
--Vertical Angles are Congruent
--When a Transversal Intersects Parallel Lines, Alternate
Interior Angles are Congruent and Corresponding Angles are
Congruent
--Points on a Perpendicular Bisector of a Line Segment are
Exactly Those Equidistant from the Segment’s Endpoints
Unit 2 Logical Reasoning
Topic
days
Resources Available/Notes
Conditional Statements
 Inverse
 Converse
 Contrapositive
 Negation
Biconditional Statements
Deductive Reasoning
 Law of Detachment and Law of Syllogisms
Inductive Reasoning
Algebraic Reasoning
Identify Hypothesis and Conclusion
Unit 3 Two Dimensional Geometry/Triangles
Topic
Classify Triangles by Angles and by Sides
Triangle Sum Theorem
Coordinate Geometry
 Perimeter
 Area
Constructions
 Acute Triangles
 Obtuse Triangles
 Right Triangles
 Isosceles Triangles
 Equilateral Triangles
days
Resources Available/Notes
 Scalene Triangles
 Congruent Triangles
 Similar Triangles
 Perpendicular Bisectors
 Angle Bisectors
 Midpoints
 Altitudes
Triangle Congruence
 ASA, SSS, SAS
 Proofs
 Transformations
Triangle Similarity
 Proofs
 Transformations
Right Triangle Trigonometry
 Pythagorean Theorem
 Find the Sine, Cosine and Tangent Ratios
 Given Two sides of a Right Triangle Find a Specified Angle
 Given an Angle and One Side of a Right Triangle, Find a
Specified Side

Unit 4 Two Dimensional Geometry/Polygons and Other Figures
Topic
days
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Unit 5 Two Dimensional Geometry/Circles
days
Topic
Resources Available/Notes
Unit 6
Topic
Unit 7
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Topic
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Topic
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Unit 8
Unit 9
End of 2nd Semester
40 days