### MAT1000: Geometry

05/01/2023 to 04/30/2024 • Modified 06/08/2023

### Course Description

This year-long course combines the skills of algebraic thinking with the abstract concepts of plane geometry to give a good foundation in mathematical logical thinking and the skills needed to develop sequential proofs. Students will explore and practice inductive and deductive reasoning, the Pythagorean Theorem, properties and principles related to polygons, and a more detailed look at trigonometric ratios. Students will have access to engaging multimedia video lectures, notes pages for each lesson summarizing the video content, practice problems, and assessments.

Algebra I

### Schedule

Module 1: Fundamentals of Geometry

• Week 1: Points, Lines, Planes, and Angles
• Week 2: Coordinate Tools
• Week 3: Transformations and Module 1 Assessment

Module 2: Reasoning & Writing Geometric Proofs

• Week 4: Inductive and Deductive Reasoning
• Week 5: Mathematical Proof and Module 2 Assessment

Module 3: Parallel & Perpendicular Lines

• Week 6: Lines with Transversals
• Week 7: Slope and the Equation of a Line
• Week 8: More Equation of a Line
• Week 9: Module 3 and Quarter 1 Assessments

Module 4: Triangle Congruence

• Week 10: Triangles and Congruence
• Week 11: Proving Triangle Congruence
• Week 12: Special Triangle Congruence and Module 4 Assessment

Module 5: Properties & Attributes of Triangles

• Week 13: Segments in Triangles
• Week 14: Relationships in Triangles
• Week 15: Special Right Triangles and Module 5 Assessment

• Week 16: Polygons and Parallelograms
• Week 17: Other Special Quadrilaterals
• Week 18: Module 6 and Quarter 2 Assessments

Module 7: Similarity

• Week 19: Similarity Relationships
• Week 20: Applying Similarity and Module 7 Assessment

Module 8: Right Triangles & Trigonometry

• Week 21: Trigonometric Ratios
• Week 22: Applying Trigonometric Ratios
• Week 23: Vectors and Module 8 Assessment

Module 9: Extending Perimeter Circumference, & Area

• Week 24: Developing Geometric Formulas
• Week 25: Applying Geometric Formulas
• Week 26: Geometric Probability
• Week 27: Module 9 and Quarter 3 Assessments

Module 10: Spatial Reasoning

• Week 28: Three-Dimensional Figures
• Week 29: Surface Area and Volume
• Week 30: More Volume and Module 10 Assessment

Module 11: Circles

• Week 31: Lines and Arcs in Circles
• Week 32: Angles and Segments in Circles
• Week 33: More Segments in Circles and Module 11 Assessment

Module 12: Transformational Geometry

• Week 34: Congruence Transformations
• Week 35: Patterns
• Week 36: Module 12 and Quarter 4 Assessments

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