Advanced Math Part A Honors (Geometry with Advanced Algebra)
Advanced Math Part A continues the Saxon methodology of spiral learning. Students who plan to take calculus, physics, or even social sciences will benefit from taking this course. This book will require 2 years to complete (4 full semesters – 1st year: Lessons 1 – 60 Part A, 2nd year: Lessons 61 – 125 Part B). The lessons are incremental and provide in-depth coverage of trigonometry, logarithms, analytic geometry, and upper-level algebraic concepts. Practices such as intermediate algebraic concepts and trigonometry begun in Algebra 2 are continued as well as newer lessons on functions, matrices, statistics, and the graphing calculator.
NOTE: The Geometry requirement can also be satisfied by completing a three-course series of Saxon books including Algebra I, Algebra II, and Advanced Math I. All of the standard concepts normally found in an individual Geometry course are found within these three courses.
Parental Involvement: Parents should verify that their students are completing their math assignments daily and grading the work. Test taking:
1) MUST be completed at home.
2) MUST be proctored by a parent or caregiver.
3) MUST be signed by parent or caregiver to ensure that supervision occurred.
4) The use of calculators will be permitted.
5) NO access to the internet or any other technological device is allowed.
*Math Lab Tutoring will be available Thursdays from 8:00 AM – 2:00 PM in the RCJ Math Lab.
*All CEDAR policies apply. Cost: $20.00 per student per Thursday. One-on-one tutoring is also available with Mr. Jared Parker by request.
Pre-requisite: Algebra 2. Must have a “B” or better in Algebra 2.
Diagnostic Test must be taken, while being proctored by a parent, and submitted with the parent's signature before placement in the course will be confirmed for 1st time students.
Tests may be handed in at the front desk or emailed to Mrs. Parker at parkerbunch7@bellsouth.net.
NOTE: For transcripts – please title this class "Geometry with Advanced Algebra" (1 credit) after students have completed Advanced Mathematics lessons 1 – 60
Resources and Materials:
Saxon Advanced Mathematics with Solutions Manual 2nd Edition
— Author: John Saxon
— ISBN-13: 978-1-60032-973-9 — This kit includes all the textbooks needed for this class
Scientific calculator or graphing calculator
Additional Required Materials: 1 ½” binder, notebook paper, pencils, dry erase markers, rulers, compass, protractor, and graph paper
Categories: Honors; Math
Target Levels: Grade 10; Grade 11; Grade 12
High School Credits: 1
Robin Parker
Tuition and Class Schedule by Academic Term:
Tuition and Fees
Tuition Fee: $725.00
Paid Security Guard Fee for Safety of Students: $25.0
Topics and Objectives:
Lesson 1 – Geometry Review
Lesson 2 – More on Area, Cylinders and Prisms, Cones and Pyramids, Spheres
Lesson 3 – Pythagorean Theorem, Triangle Inequalities (1), Similar Polygons, Similar Triangles
Lesson 4 – Construction
Lesson 5 – Exponents and Radicals, Complex Numbers, Areas of Similar Geometric Figures, Diagonals of Rectangular Solids
Lesson 6 – Fractional Equations, Radical Equations, Systems of Three Linear Equations
Lesson 7 – Inductive and Deductive Reasoning, Logic, The Contrapositive, Converse and Inverse
Lesson 8 – Statements of Similarity, Proportional Segments, Angle Bisectors and Side Ratios
Lesson 9 – Congruent Figures, Proof Outlines
Lesson 10 – Equation of a Line, Rational Denominators, Completing the Square
Lesson 11 – Circles, Properties of Circles, The Quadratic Formula
Lesson 12 – Angles and Diagonals in Polygons, Proof of the Chord-Tangent Theorem
Lesson 13 – Intersecting Secants, Intersecting Secants and Tangents, Products of Chord Segments, Products of Secant and Tangent Segments
Lesson 14 – Sine, Cosine, and Tangent, Angles of Elevation and Depression, Rectangular and Polar Coordinates, Coordinate Conversion
Lesson 15 – Assumptions, Proofs
Lesson 16 – Complex Fractions, Abstract Equations, Division of Polynomials
Lesson 17 – Proofs of the Pythagorean Theorem, Proofs of Similarity
Lesson 18 – Advanced Word Problems
Lesson 19 – Nonlinear Systems, Factoring Exponentials, Sum and Difference of Two Cubes
Lesson 20 – Two Special Triangles
Lesson 21 – Evaluating Functions, Domain and Range, Types of Functions, Test for Functions
Lesson 22 – Absolute Value, Reciprocal Functions
Lesson 23 – The Exponential Function, Sketching Exponentials
Lesson 24 – Sums of Trigonometric Functions, Combining Functions
Lesson 25 – Age Problems, Rate Problems
Lesson 26 – The Logarithmic Form of the Exponential, Logarithmic Equations
Lesson 27 – Related Angles, Signs of Trigonometric Functions
Lesson 28 – Factorial Notation, Abstract Rate Problems
Lesson 29 – The Unit Circle, Very Large and Very Small Fractions, Quadrantal Angles
Lesson 30 – Addition of Vectors, Overlapping Triangles
Lesson 31 – Symmetry, Reflections, Translations
Lesson 32 – Inverse Functions, Four Quadrant Signs, Inverse Trigonometric Functions
Lesson 33 – Quadrilaterals, Properties of Parallelograms, Types of Parallelograms, Condition for Parallelograms, Trapezoids
Lesson 34 – Summation Notation, Linear Regression, Decomposing Functions
Lesson 35 – Change in Coordinates, The Name of a Number, The Distance Formula
Lesson 36 – Angles Greater Than 360˚, Sums of Trigonometric Functions, Boat-in-the-River Problems
Lesson 37 – The Line as a Locus, The Midpoint Formula
Lesson 38 – Fundamental Counting Principle and Permutations, Designated Roots, Overall Average Rate
Lesson 39 – Radian Measure of Angles, Forms of Linear Equations
Lesson 40 – The Argument in Mathematics, The Laws of Logarithms, Properties of Inverse Functions
Lesson 41 – Reciprocal Trigonometric Functions, Permutation Notation
Lesson 42 – Conic Sections, Circles, Constants in Exponential Functions
Lesson 43 – Periodic Functions, Graphs of Sin and Cos
Lesson 44 – Abstract Rate Problems
Lesson 45 – Conditional Permutations, Two-Variable Analysis Using a Graphing Calculator
Lesson 46 – Complex Roots, Factoring Over the Complex Numbers
Lesson 47 – Vertical Sinusoid Translations, Arctan
Lesson 48 – Powers of Trigonometric Functions, Perpendicular Bisectors
Lesson 49 – The Logarithmic Function, Development of the Rules of Logarithms
Lesson 50 – Trigonometric Equations
Lesson 51 – Common Logarithms and Natural Logarithms
Lesson 52 – The Inviolable Argument, Arguments in Trigonometric Equations
Lesson 53 – Review of Unit Multipliers, Angular Velocity
Lesson 54 – Parabolas
Lesson 55 – Circular Permutations, Distinguishable Permutations
Lesson 56 – Triangular Areas, Areas of Segments, Systems of Inequalities
Lesson 57 – Phase Shifts in Sinusoids, Period of a Sinusoid
Lesson 58 – Distance from a Point to a Line, “Narrow” and “Wide” Parabolas
Lesson 59 – Advanced Logarithm Problems, The Color of the White House
Lesson 60 – Factorable Trigonometric Equations, Loss of Solutions Caused by Division
**Lesson 61 – Single-Variable Analysis, The Normal Distribution, Box-and-Whisker Plots
**Lesson 62 – Abstract Coefficients, Linear Variation
**Lesson 63 – Circles and Completing the Square
**Lesson 64 – The Complex Plane, Polar Form of a Complex Number, Sums and Products of Complex Numbers
**doing 4 extra lessons if there’s time and if there’s interest