This is our catalog of courses. We will occasionally adjust the course listing to reflect the addition of new courses and the retirement of others.
Gain the foundational skills of Geometry — including two and three-dimensional shapes, lines, rays, and figures in a plane; use deductive and analytical reasoning, logic, and problem-solving skills that connect Algebra and Geometry.
Total classes: 14
Prerequisite: Algebra 1 or equivalent coursework
Suggested grade level: 10th grade and up
Suggested credit: One full semester Math
Description
Students will study two and three dimensional shapes as well as lines, rays, and similar figures in a plane. Deductive reasoning will be used throughout the text to immerse students in proofs and the varying postulants and theorems that are used. Basic as well as more advanced constructions will be used along with algebra to connect algebra with the geometry that they are learning. We will be using the college entrance tests as a guide for the tests and quizzes so that students are familiar with the types of questions they will be expected to know and answer.
Outline
Week One: Chapter 1: Sections 1-1 to 1-2
Algebra Review
Week Two: Chapter 1: Sections 1-3 to 1-5
Topics to Include: Segments, Rays, Distance; Angles; Postulates and theorems relating to points, lines, and planes
Week Three: Chapter 2: Sections 2.1 to 2.4
Topics to include: If-then statements; Properties of Algebra; Proving Theorems; Special pairs of Angles
Week Four: Chapter 2: Sections 2.5 to 2.6
Topics to Include: Perpendicular Lines; Planning a proof
Week Five: Chapter 3: Sections 3.1 to 3.3
Topics to Include: Definitions; Properties of Parallel lines; Proving Lines parallel
Week Six: Chapter 3: Sections 3.4 and 3.6
Topics to Include: Angles of a Triangle; Angles of a polygon; Inductive Reasoning
Week Seven: Chapter 4 Sections 4.1 to 4.4
Topics to Include: Congruent figures; Proving triangles congruent; Using congruent triangles; Isosceles triangle theorems
Week Eight: Chapter 4 Sections 4.5 to 4.7
Topics to Include: Other methods for proving triangles congruent; Using more than one pair of congruent triangles; medians, altitudes, and perpendicular bisectors
Week Nine: Chapter 5 Sections 5.1 to 5.3
Topics to Include: Properties of Parallelograms; Ways to prove that quadrilaterals are parallelograms; Theorems involving parallel lines
Week Ten: Chapter 5 Sections 5.4 to 5.5
Topics to Include: Special parallelograms; Trapezoids
Week Eleven: Chapter 6 Sections 6.1 to 6.4
Topics to Include: Inequalities; Inverses and contrapositives; Indirect proofs; Inequalities for one triangle
Week Twelve: Chapter 6 Section 6.5 and Chapter 7 sections 7.1 to 7.3
Topics to Include: Ratios and Proportions; Properties of proportions; Similar polygons
Week Thirteen: Chapter 7.4-7.6
Topics to include: Postulate for similar triangles; Theorems for similar triangles; Proportional lengths
Week Fourteen: Review and Final
Materials and Homework
Course Materials: Geometry by Jurgensen, Brown and Jurgensen, ISBN# 0-395-77120-X (www.amazon.com/exec/obidos/ASIN/039577120X/catholictreas-20)
Homework: 4-5 assignments per week with 15-20 problems per lesson. Expect to spend 30 to 60 minutes a day on homework.
