Saxon Math Books:
Once your child masters flashcards on addition, subtraction, multiplication & division, you can start them on the Saxon 5/4, we like using the 1st editions, more information about the differences in editions below. We do a lesson a day, sometimes two. Then we grade the lessons, and rework any missed problems before moving on to the next lesson.
The first number in the title represents a loose grade level recommendation for average math students, while the second number represents an advanced grade level. For example, Math 54 is loosely indicated for average 5th graders and advanced 4th graders.
Was speaking with a college math teacher once that has taught for over 30 years now, 25 years of high school before teaching college. He LOVED and taught Saxon for most of those years. He was telling us that if you are going to use the tests, use them 8 lessons later, instead of the suggested 4 or 5. Especially if you have a child that seems to be struggling a bit with the tests, but is doing well on the lessons. By waiting that few extra chapters it reinforces more of the concepts that will be on the test. And he loved hearing that so many homeschool parents were still using Saxon! It’s one of his favorites.
For more information and Facebook groups to connect with using the Saxon Math:
https://www.facebook.com/groups/rcsaxonmath/
https://www.facebook.com/groups/441768659255706/
Recommended book editions for Saxon Math
As I find additional ISBN Numbers, I will post them below.
5/4, 1st ed. : 0939798212 (ISBN from 7th printing, June 1996)
Math 54 Teacher’s Edition (with answers in red throughout):
0939798220 (ISBN from 6th printing, August 1997)
6/5, 1st ed.: 0939798182 (ISBN from 4th printing, May 1990)
Math 65 Teacher’s Edition (with answers in red throughout):
0939798190 (ISBN from 10th printing, May 1998)
7/6, 1st ed.: 0939798158 (ISBN from 6th printing, May 1990)
8/7, 1st ed.: 0939798549 (ISBN from 6th printing, March 1995)
Algebra 1/2, 1st ed.
Algebra 1, 1st ed.
Algebra 2, 1st ed.
Advanced Math, 1st.
Calculus, 2 ed.
The differences in editions are not going to matter for the vast majority of the students. If you find that your student is struggling with some of the latest editions, try finding a 1st edition book. We first started with a 5/4 3rd edition and our daughter struggled horribly. We found a first edition and she was able to better understand the lessons and excelled.
We recommend the use of Saxon math books 54, 65, 76, 87, Algebra 1/2, Algebra 1, Algebra 2, Advanced Math, and Calculus.
There have been some changes with the editions. There are between 2 to 4 editions of these books.
To summarize the edition changes for each of these books:
For Books 5487.
The changes in these books have mostly been formatting changes, and an increase in the length of the explanations. This has been a gradual change. The earlier books had shorter explanations, and a simpler format. This makes them a little better for self teaching, since the students have an easier time navigating the books. They also have introduced “Warmup boxes” and “investigation lessons”. This complicates the format of the day and tends to waste time. We recommend that these boxes and investigation lessons all be skipped and the child just do the Practice and Problem Sets. The main strength of Saxon is the problem sets. This part is still just as good. As long as the students are working the problem sets correctly, they will be fine.
Note: The Softcover Homeschool Edition and the Hardcover student edition, have the exact same content. Either one will be just as good.
For Algebra 1/2 through Advanced Math
The changes in these books are a little more mixed. They have improved some things and added a few lessons on various topics. The only major change that we don’t like, is the addition of calculator problems. They have also removed the trigonometry and logarithm tables because they can be found with a calculator. It is better for students to go all the way through the math course before starting to use these aids. When using later editions, at the very least calculator use should be confined to those problems for which it is absolutely necessary. It can be virtually eliminated by obtaining a set of trig and log tables. These can be readily printed off the internet.
Calculus
Calculus is the book that actually has the most changes. The first edition Calculus book is very good. However, it does miss subjects that are usually taught in last term of college level calculus course. Students who were taking the Calculus BC Advanced Placement test, usually had to learn a few things that were not taught in the books. A pair of teachers who were using the book, realized this and wrote the additional lessons needed to fill in the gaps. This was incorporated into the second edition, which is what is currently available. The only downside is addition of calculator problems in this book as well. However, the positives in this case far outweigh the negatives.
Lessons: Geometry & Trigonometry
GEOMETRY Lessons in Saxon Math Books
(Download the Geometry Lesson pdf)
Saxon Advanced Math
Lesson 1 – Geometry Review
Lesson 2 – More on Area – Cylinder and Prisms – Cones and Pyramids – Spheres
Lesson 3 – Pythagorean Theorem – Triangle Inequalities (1) – Similar Polygons – Similar Triangles
Lesson 4 – Construction
Lesson 5 – Areas of Similar Geometric Figures – Diagonals of Rectangular Solids
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
Lesson 11 – Circles – Properties of Circles
Lesson 12 – Angles and Diagonals in Polygons – Proof of the ChordTangent Theorem
Lesson 13 – Intersecting Secants – Intersecting Secants and Tangents – Products of Chord Segments –
Products of Secant and Tangent Segments
Lesson 15 – Assumptions – Proofs
Lesson 17 – Proofs of the Pythagorean Theorem – Proofs of Similarity
Lesson 20 – Two Special Triangles
Lesson 31 – Symmetry – Reflections – Translations
Lesson 33 – Quadrilaterals – Properties of Parallelograms – Types of Parallelograms – Conditions for
Parallelograms – Trapezoids
Lesson 34 – Linear Regression
Lesson 35 – The Distance Formula
Lesson 36 – Angles Greater Than 360°
Lesson 37 – The Line as a Locus – The Midpoint Formula
Lesson 42 – Conic Sections – Circles
Lesson 48 – Perpendicular Bisectors
Lesson 58 – Distance from a Point to a Line
Lesson 63 – Circles and Completing the Square
Lesson 68 – Locus Definition of a Parabola – Translated Parabolas – Applications – Derivation
Lesson 71 – The Ellipse (1)
Lesson 72 – One Side Plus Two Other Parts
Lesson 73 – Regular Polygons
Lesson 78 – The Hyperbola
Lesson 89 – The Ellipse (2)
Lesson 99 – The Arithmetic and Geometric Means
Lesson 106 – Translations of Conic Sections – Equations of the Ellipse – Equations of the Hyperbola
Lesson 123 – The General Conic Equation
Lesson 125 – Using the Graphing Calculator to Graph
Saxon Algebra 2 (2nd and 3rd Editions)
Lesson A – Geometry review – Angles
Lesson B – Perimeter – Area – Volume – Surface Area – Sectors of circles
Lesson 1 – Polygons – Triangles – Transversals – Proportional segments
Lesson 2 – Circle relationships
Lesson 7 – Equations from geometry
Lesson 8 – Graphing linear equations – Interceptslope method
Lesson 10 – Pythagorean Theorem
Lesson 11 – Inscribed angles
Lesson 12 – Equation of a line
Lesson 13 – Area of an isosceles triangle
Lesson 14 – Equation of a line through two points – Equation of a line with a given slope
Lesson 17 – Angle relationships
Lesson 18 – Similar triangles
Lesson 19 – AA means AAA
Lesson 20 – Line parallel to a given line
Lesson 22 – Uniform motion problems – equal distances – Similar triangles and proportions
Lesson 23 – Graphical solutions
Lesson 24 – Overlapping triangles
Lesson 25 – Parallel lines
Lesson 26 – Overlapping right triangles
Lesson 29 – Uniform motion problems:
Lesson 30 – Deductive reasoning – Euclid – Vertical angles are equal – Corresponding interior and
exterior angles – 180° in a triangle
Lesson 31 – Perpendicular lines – Remote interior angles
Lesson 32 – Congruency – Congruent triangles
Lesson 34 – Uniform motion problems:
Lesson 35 – Angles in polygons – Inscribed quadrilaterals
Lesson 37 – Parallelograms
Lesson 39 – Parallelogram proof – Rhombus
Lesson 49 – Linear intercepts – Transversals
Lesson 54 – Similar triangles
Lesson 56 – Angles in circles – Proofs
Lesson 66 – 306090 triangles
Lesson 72 – Lines from experimental data
Lesson 74 – Uniform motion with both distances given
Lesson 79 – Metric volume – 454590 triangles
Lesson 87 – Slope formula
Lesson 88 – The distance formula
Lesson 100 – Graphs of parabolas
Lesson 123 – Locus – Basic construction
Lesson 124 – Conditions of congruence – Proofs of congruence – Isosceles triangles
Lesson 125 – Distance defined – Equidistance – Circle proofs
Lesson 126 – Rectangles – Squares – Isosceles trapezoids – Chords and arcs
Lesson 127 – Lines and planes in space
Lesson 128 – Circumscribed and inscribes – Inscribed triangles – Inscribed circles – Proof of the
Pythagorean Theorem – Inscribed angles
Saxon Algebra 1 (3rd Edition)
Lesson 1 – Lines and Segments
Lesson 2 – Angles – Polygons – Triangles – Quadrilaterals
Lesson 3 – Perimeter – Circumference
Lesson 8 – Area
Lesson 10 – Conversions of Area
Lesson 15 – Surface Area
Lesson 20 – Volume
Lesson 51 – Graphs of Linear Equations – Graphs of Vertical and Horizontal Lines
Lesson 52 – Conversions of Volume
Lesson 56 – Rearranging Before Graphing
Lesson 60 – Geometric Solids – Prisms and Cylinders
Lesson 72 – Pyramids and Cones
Lesson 75 – Writing the Equation of a Line – SlopeIntercept Method of Graphing
Lesson 81 – Graphical Solutions of Equations – Inconsistent Equations –Dependent Equations
Lesson 91 – Spheres
Lesson 92 – Uniform Motion Problems About Equal Distances
Lesson 94 – Uniform Motion Problems of the Form
Lesson 97 – Angles and Triangles – Pythagorean Theorem – Pythagorean Triples
Lesson 98 – Distance Between Two Points – Slope Formula
Lesson 99 – Uniform Motion – Unequal Distances
Lesson 106 – Linear Equations – Equation of a Line Through Two Points
Lesson 107 – Line Parallel to a Given Line – Equation of a Line with a Given Slope
Lesson 110 – Vertical Shifts – Horizontal Shifts – Reflection About the x Axis – Combination of
Shifts and Reflections
Saxon Algebra 1 (2nd Edition)
Lesson A – Lines and segments
Lesson B – Geometry review – Perimeter – Area
Lesson C – Geometric shapes – Volume – Degree measure
Lesson 2 – Surface area
Lesson 8 – Conversions of area and volume
Lesson 28 – Volume conversions
Lesson 54 – Graphs of linear equations
Lesson 55 – Vertical and horizontal lines
Lesson 61 – More on area and volume
Lesson 84 – Graphical solutions
Lesson 85 – Writing the equation of a line
Lesson 93 – Slopeintercept method of graphing
Lesson 96 – Uniform motion problems of the form
Lesson 101 – Pythagorean Theorem
Lesson 102 – Distance between two points
Lesson 104 – Uniform motion – unequal distances
Lesson 112 – Equation of a line through two points
Lesson 115 – Line parallel to a given line
Lesson 116 – Equation of a line with a given slope
Lesson 119 – Consistent, inconsistent, and dependent equations
TRIGONOMETRY Contained in Saxon High School Math Courses
(Download the Trigonometry Lessons in pdf)
Algebra 2 (2nd and 3rd Editions)
Lesson 43 – Sine, cosine, and tangent
Lesson 44 – Solving right triangles
Lesson 54 – Polar coordinates
Lesson 59 – Rectangular form to polar form
Lesson 63 – Addition of vectors
Lesson 72 – Negative angles
Lesson 76 – Negative vectors
Advanced Math
Lesson 14 – Sine, Cosine, and Tangent – Angles of Elevation and Depression – Rectangular and Polar
Coordinates – Coordinate conversion
Lesson 24 – Sums of Trigonometric Functions
Lesson 27 – Related Angles – Signs of Trigonometric Functions
Lesson 29 – The Unit Circle
Lesson 32 – Inverse Trigonometric Functions
Lesson 36 – Angles Greater Than 360 Degrees – Sums of Trigonometric Functions
Lesson 39 – Radian Measure of Angles
Lesson 41 – Reciprocal Trigonometric Functions
Lesson 43 – Periodic Functions – Graphs of Sine and Cosine of Angles
Lesson 47 – Vertical Sinusoid Translations – Arctan
Lesson 48 – Powers of Trigonometric Functions
Lesson 50 – Trigonometric Equations
Lesson 52 – Arguments in Trigonometric Equations
Lesson 53 – Angular Velocity
Lesson 57 – Phase Shifts in Sinusoids – Period of a Sinusoid
Lesson 60 – Factorable Trigonometric Equations, Loss of Solutions By Division
Lesson 64 – Polar Form of a Complex Number
Lesson 65 – Radicals in Trigonometric Equations
Lesson 66 – Phase Shifts and Period Changes
Lesson 76 – Functions of (x) – Functions of the Other Angle – Trigonometric Identities (1) – Rules
covering Trigonometric Identities
Lesson 80 – Trigonometric Identities (2)
Lesson 81 – Law of Cosines
Lesson 84 – Sketching Sinusoids
Lesson 85 – Advanced Trigonometric Equations
Lesson 87 – Sum and Difference Trigonometric Identities – Tangent Identities
Lesson 90 – DoubleAngle Identities – HalfAngle Identities
Lesson 93 – Advanced Trigonometric Identities
Lesson 94 – Graphs of Secant and Cosecant – Graphs of Tangent and Cotangent
Lesson 96 – More DoubleAngle Identities – Triangle Area Formula – Proof of the Law of Sines
Lesson 97 – Ambiguous Case involving the Law of Sines
Lesson 100 – Trigonometric Product Identities – More Sum and Difference Trigonometric Identities
Lesson 110 – Graphs of Arcsine, Arccosine, Arcsecant, Arccosecant, Arctangent, and Arccotangent
Saxon Test Booklets & Answer Keys
I am working on collecting and digitizing the 1st & 2nd edition Test booklets and Answer Keys as it has gotten extremely difficult to find them anymore. The books are much easier to find. If you have a Test Form or Answer Key packet you would like to sell,or donate, a copy for me to scan and digitize for this project, please contact me. The later editions are much easier to find, so we will not provide any past the 2nd editions below.

Saxon 6/5 1st Edition – Home Study Packet Answers 
Algebra 12 2nd Edition Test Answers


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