CHESTERTON ACADEMY COURSE SYLLABUS

MATHEMATICS 9: ALGEBRA I

Course Description:

This is a remedial algebra course for students that are behind in their algebra skills. Topics covered are: order of operations with standard mathematical notation, solving equations of one variable and systems of equations, a basic understanding of functions and graphs, solving linear systems of equations, and solving quadratic equations.

Students that pass this course will be prepared to advance to Geometry or Algebra II/Trigonometry.

Course Materials

Brown et. al., Algebra: Structue and Method – Book 1, (Evanston Illinois: McDougal Littel, 2000).

Grading:

50% Exams and Quizzes

40% Homework

10% Participation

Lesson Outline

Unit Week Chapter / Topic

Unit 1 Weeks 1-3 Ch. 1, Variables

Unit 2 Weeks 4-7) Ch. 2, Multiplication and Addition

Unit 3 Weeks 8-10) Ch. 3, Solving Equations and Problems

Unit 4 Weeks 11-14) Ch. 4, Exponents and Polynomials

Unit 5 Weeks 14-18) Ch. 5, Factoring

Unit 6 Weeks 19-21) Ch. 6, Fractions with Variables

Unit 7 Weeks 22-24) Ch. 8, Functions and Graphing

Unit 8 Weeks 25-27) Ch. 9, Solving Systems of Equations

Unit 9 Weeks 28-30) Ch. 11, Irrational Numbers (Radicals)

Unit 10 Weeks 31-33): Ch. 12, Quadratic Functions

This is a remedial algebra course for students that are behind in their algebra skills. Topics covered are: order of operations with standard mathematical notation, solving equations of one variable and systems of equations, a basic understanding of functions and graphs, solving linear systems of equations, and solving quadratic equations.

Students that pass this course will be prepared to advance to Geometry or Algebra II/Trigonometry.

Course Materials

Brown et. al., Algebra: Structue and Method – Book 1, (Evanston Illinois: McDougal Littel, 2000).

Grading:

50% Exams and Quizzes

40% Homework

10% Participation

Lesson Outline

Unit Week Chapter / Topic

Unit 1 Weeks 1-3 Ch. 1, Variables

Unit 2 Weeks 4-7) Ch. 2, Multiplication and Addition

Unit 3 Weeks 8-10) Ch. 3, Solving Equations and Problems

Unit 4 Weeks 11-14) Ch. 4, Exponents and Polynomials

Unit 5 Weeks 14-18) Ch. 5, Factoring

Unit 6 Weeks 19-21) Ch. 6, Fractions with Variables

Unit 7 Weeks 22-24) Ch. 8, Functions and Graphing

Unit 8 Weeks 25-27) Ch. 9, Solving Systems of Equations

Unit 9 Weeks 28-30) Ch. 11, Irrational Numbers (Radicals)

Unit 10 Weeks 31-33): Ch. 12, Quadratic Functions

CHESTERTON ACADEMY COURSE SYLLABUS

MATHEMATICS 9: GEOMETRY

Course Description: The main purpose of this course is to develop the students’ skills in geometry, by introducing them first to the geometry of Euclid (5th century BC), and then by studying the various aspects of geometry as they have come down to us through the ages. But before beginning the study of geometry itself, we will begin by reviewing necessary algebra skills to insure that all students are well-prepared for their further math pursuits. After about eight weeks of algebra, we will spend eight weeks with Euclid’s Elements, studying his proofs of important geometrical “propositions” (later called “theorems”). We will spend the remainder of the time working through as much of the Geometry textbook as is reasonably possible. Students will be expected to do daily reading and homework, both individually and in groups, and to present problems on the board. Students should also expect regular quizzes and tests. In addition, all students will be required to make one formal presentation to the class each semester. And they will be expected to do all of this in a way that promotes not only their own learning, but also the learning of the whole class.

Course Materials

Algebra (McDougall Littell—excerpts)

Euclid, The Thirteen Books of Euclid’s Elements

Geometry (McDougall Littell)

Grading:

65% Exams and Quizzes

20% Homework

10% Participation

5% Presentation

Lesson Outline Week Topic

1-8 Algebra Review: PERMDAS; Language of Algebra; Problem Solving; Transforming Equations; Word Problems; Exponents; FOILing and unFOILing; Linear Equations; Simultaneous Equations; Quadratic Formula and Equations

9-16 Euclid’s Elements: Postualates, Common Notions and Propositions; Proofs; Student Presentations;

17-19 Geometry (McDougall Littell): Chapters 1-2; Daily lessons and homework; Theorem Packets; Chapter Test(s)

20-23 Geometry: Chapters 3-4; Daily lessons and homework; Theorem Packets; Chapter Test(s)

24-26 Geometry: Chapters 5-6; Daily lessons and homework; Theorem Packets; Chapter Test(s)

27-28 Trigonometry Worksheets, Packets; Daily lessons and homework; Test

29-31 Geometry: Chapters 7-8; Daily lessons and homework; Theorem Packets; ChapterTest(s)

32-34 Geometry: Chapters 9-10; Daily lessons and homework; Theorem Packets; Chapter Test(s)

35-36 (As time allows) Geometry: Chapters 11-12; Daily lessons and homework; Theorem Packets; Chapter Test(s)

Course Materials

Algebra (McDougall Littell—excerpts)

Euclid, The Thirteen Books of Euclid’s Elements

Geometry (McDougall Littell)

Grading:

65% Exams and Quizzes

20% Homework

10% Participation

5% Presentation

Lesson Outline Week Topic

1-8 Algebra Review: PERMDAS; Language of Algebra; Problem Solving; Transforming Equations; Word Problems; Exponents; FOILing and unFOILing; Linear Equations; Simultaneous Equations; Quadratic Formula and Equations

9-16 Euclid’s Elements: Postualates, Common Notions and Propositions; Proofs; Student Presentations;

17-19 Geometry (McDougall Littell): Chapters 1-2; Daily lessons and homework; Theorem Packets; Chapter Test(s)

20-23 Geometry: Chapters 3-4; Daily lessons and homework; Theorem Packets; Chapter Test(s)

24-26 Geometry: Chapters 5-6; Daily lessons and homework; Theorem Packets; Chapter Test(s)

27-28 Trigonometry Worksheets, Packets; Daily lessons and homework; Test

29-31 Geometry: Chapters 7-8; Daily lessons and homework; Theorem Packets; ChapterTest(s)

32-34 Geometry: Chapters 9-10; Daily lessons and homework; Theorem Packets; Chapter Test(s)

35-36 (As time allows) Geometry: Chapters 11-12; Daily lessons and homework; Theorem Packets; Chapter Test(s)