Recorded HS

Math

Jurgensen, Brown, Jurgensen Geometry, Part One

With Jean Hoeft, MA

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.

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.

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

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.

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