Course Description
Course Name: Geometry
Subject: Math
Course Number: 1206310
Credit Earned: 1.0 credit
Prerequisites: Algebra I or its equivalent
Course description: One day in 2580 B.C., a very serious architect stood on a dusty desert with a set of plans. His plans called for creating a structure 480 high, with a square base and triangular sides, using stone blocks weighing two tons each. The Pharaoh wanted the job done right. The better our architect understood geometry, the better were his chances for staying alive.
Geometry is everywhere, not just in pyramids. Engineers use geometry to bank highways and build bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, we’ll take you on a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving.
This course is all about points, lines and planes. Just as importantly, this course is about acquiring a basic tool for understanding and manipulating the real world around you.
Scope & Sequence:
Module 1
Checklist, Motif and Course Information, Pretest Module 1, Building Blocks of Geometry, Mathematical Language, Segments, Segments and the Coordinate Plane, Quiz, Exploring Angles, Angle Addition Postulate and Bisectors, Angle Relationships, How to Use a Compass, How to Use a Protractor, Survey, Review, Module 1 Post Test
Module 2
Checklist, Module 2 Pretest, Lines and Angle Pairs, Properties of Parallel Lines, Slope, Linear Equations, Writing Equations of Lines, Quiz, Logical Reasoning, Algebraic Properties, Algebraic Proofs, Proving Lines Parallel, Survey, Module 2 Review, Oral Component, Module 2 Test
Module 3
Checklist, Module 3 Pretest, Classifying Triangles, Interior and Exterior Angles in Triangles, Angle Puzzler, Isosceles and Equilateral Triangles, Triangle Inequalities, Quiz, Proofs in Geometry, Exploring Triangle Congruence, Proofs of Congruence in Triangles, Congruence and Right Triangles, Discussion, Module 3 Survey, Module 3 Review, Module 3 Test
Module 4
Checklist, Module 4 Pretest, Midsegment of a Triangle, Perpendicular Bisectors in Triangles, Medians and Altitudes, Angle Bisectors, Similar Polygons, Similarity in Right Triangles, Quiz, Proportions in Triangles, Applications of the Pythagorean Theorem, Special Right Triangles, Trig Ratios, Scale Drawing Project, Module 4 Survey, Module 4 Review, Oral Component, Module 4 Test, Semester Exam Review, Semester Exam
Module 5
Checklist, Module 5 Pretest, Polygons and Quadrilaterals, Parallelograms, Proving Quadrilaterals are Parallelograms, Rectangles, Rhombi and Squares, Investigating Rectangles, Rhombi and Squares, Quiz, Trapezoids, Kites, Quadrilateral Query, The Golden Ratio Discussion, Module 5 Survey, Module 5 Review, Module 5 Test
Module 6
Checklist, Module 6 Pretest, Angle Measures of Polygons, Perimeter, Areas of Rectangles and Squares, Areas of Parallelograms and Rhombi, Areas of Triangles, Trapezoids and Kites, Quiz, Area of Regular Polygons, Three Dimensional Figures, Surface Area of Prisms, Surface Area of Pyramids, Volume of Prisms, Volume of Pyramids, Module 6 Survey, Module 6 Review, Module 6 Oral Component, Module 6 Test
Module 7
Checklist, Module 7 Pretest, Parts of Circles, Equations of Circles, Circumference and Area of Circles, Arcs and Angles, Sectors and Segments, Arcs and Chords, Quiz, Inscribed Angles, Secants, Tangents, and Angle Measures, Tangents, Segments in a Circle, Cylinders, Cones and Spheres, Applications with Circles, Circles Discussion, Module 7 Survey, Module 7 Review, Module 7 Test
Module 8
Checklist, Module 8 Pretest, Transformations, Reflections, Translations, Rotations, Dilations, Quiz, Symmetry, Matrices, Glide Reflection, Tessellations, Module 8 Survey, Module 8 Review, Module 8 Test, Semester 2 Review, Oral Component, Semester 2 Exam
