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Syllabus Title: 
Geometry
Syllabus Description: 

Have fun with figures learning the basics of geometry. You’ll boost your problem-solving prowess by applying geometry concepts to calculate angles and intersecting lines, perimeters, polygons, area and volume, and more. You’ll learn about shapes and how to measure and divide them. Projects, web labs, and interactive content will help you gain the geometric know-how you need to succeed. PREREQUISITE: Successful completion of Algebra I.

Collection Semester: 
New Semester Heading: 
SEMESTER 1
New Unit Collection: 
New Unit Heading: 
Unit 1: Geometry Beginnings
New Unit Content: 
  • Nets and Drawings for Visualizing Geometry
  • Points, Lines and Planes
  • Measuring Segments
  • Measuring Angles
  • Exploring Angle Pairs
  • Midpoint and Distance in the Coordinate Plane
New Unit Heading: 
Unit 2: Geometric Reasoning
New Unit Content: 
  • Basic Constructions
  • Patterns and Inductive Reasoning
  • Conditional Statements
  • Biconditionals and Definitions
  • Deductive Reasoning
  • Reasoning in Algebra and Geometry
  • Proving Angles Congruent
New Unit Heading: 
Unit 3: Lines and Angles
New Unit Content: 
  • Lines and Angles
  • Properties of Parallel Lines
  • Proving Lines Parallel
  • Parallel and Perpendicular Lines
  • Parallel Lines and Triangles
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Unit 4: Triangles
New Unit Content: 
  • Congruent Figures
  • Triangle Congruence by SSS and SAS
  • Triangle Congruence by ASA and AAS
  • Using Corresponding Parts of Congruent Triangles
  • Isosceles and Equilateral Triangles
  • Congruence in Right Triangles
  • Congruence in Overlapping Triangles
  • Congruence Transformations
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Unit 05: Using Congruent Triangles
New Unit Content: 
  • Mid-segments of Triangles
  • Perpendicular and Angle Bisectors
  • Bisectors in Triangles
  • Medians and Altitudes
  • Indirect Proof
  • Inequalities in One Triangle
  • Inequalities in Two Triangles
New Unit Heading: 
Unit 06: Using Congruent Triangles
New Unit Content: 
  • The Pythagorean Theorem and Its Converse
  • Special Right Triangles
  • Trigonometry
  • Angles of Elevation and Depression
  • Areas of Regular Polygons
New Semester Heading: 
SEMESTER 2
New Unit Collection: 
New Unit Heading: 
Unit 07: Transformations
New Unit Content: 
  • Translations
  • Reflections
  • Rotations
  • Compositions of Isometries
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Unit 08: Similarity
New Unit Content: 
  • Similar Polygons
  • Proving Triangles Similar
  • Similarity in Right Triangles
  • Proportions in Triangles
  • Dilations
  • Similarity Transformations
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Unit 09: Perimeter and Area
New Unit Content: 
  • Perimeter and Area in the Coordinate Plane
  • Areas of Parallelograms and Triangles
  • Areas of Trapezoids, Rhombuses, and Kites
  • Polygons in the Coordinate Plane
New Unit Heading: 
Unit 10: Surface Area and Volume
New Unit Content: 
  • Surface Areas of Prisms and Cylinders
  • Surface Areas of Pyramids and Cones
  • Volumes of Prisms and Cylinders
  • Volumes of Pyramids and Cones
  • Surface Areas and Volumes of Spheres
  • Areas and Volumes of Similar Solids
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Unit 11: Quadrilaterals
New Unit Content: 
  • The Polygon Angle-Sum Theorems
  • Properties of Parallelograms
  • Proving That a Quadrilateral is a Parallelogram
  • Properties of Rhombi, Rectangles and Squares
  • Conditions for Rhombi, Rectangles and Squares
  • Trapezoids and Kites
  • Applying Coordinate Geometry
  • Proofs Using Coordinate Geometry
New Unit Heading: 
Unit 12: Circles
New Unit Content: 
  • Circles and Arcs
  • Areas of Circles and Sectors
  • Tangent Lines
  • Chords and Arcs
  • Inscribed Angles
  • Angle Measures and Segment Lengths
New Unit Heading: 
Unit 13: Probability
New Unit Content: 
  • Experimental and Theoretical Probability
  • Permutations and Combinations
  • Compound Probability
  • Probability Models
  • Conditional Probability Formulas