
Saxon Curriculum
Saxon Math
Math K Nancy Larson (©1994)
Kindergartners will build skills including oral counting; recognizing
and sequencing numbers; identifying ordinal position; acting out addition
and subtraction stories; counting with onetoone correspondence; sorting;
patterning; graphing real objects and pictures; identifying and counting
pennies, dimes, and nickels; identifying one half; identifying shapes;
covering and replicating geometric designs; measuring using nonstandard
units of measure; telling time to the hour; and using a calendar. Individual
oral assessments are built into the program.
(112 lessons)
Math 1 Nancy Larson (©1994)
Grade 1 children will skip count by 1’s, 2’s, 5’s, and 10’s; compare
and order numbers; identify ordinal position to tenth; identify a sorting
rule; identify and extend patterns; solve routine and nonroutine problems;
master all basic addition facts and most of the basic subtraction facts;
add twodigit numbers without regrouping; picture and name fractions; measure
using inches, feet, and centimeters; compare volume, mass, and area; tell
time to the half hour; count pennies, nickels, dimes, and quarters; identify
and draw polygons; identify geometric solids; tally; and create, read,
and write observations from real graphs, pictographs, and bar graphs.
(130 lessons)
Math 2 Nancy Larson (©1994)
Grade 2 children will skip count by 1’s, 2’s, 3’s, 4’s, 5’s, 10’s, 25’s,
and 100’s; compare and order numbers; identify ordinal position to tenth;
identify sorting and patterning rules; solve routine and nonroutine problems;
master all basic addition and subtraction facts; master multiplication
facts to 5; add and subtract twodigit numbers; picture and name fractions;
measure to the nearest half inch, centimeter, and foot; compare volume;
compare and measure mass; measure perimeter and area; tell time to fiveminute
intervals; count pennies, nickels, dimes, and quarters; identify geometric
solids; identify lines of symmetry; identify angles; tally; and create,
read, and write observations from real graphs, pictographs, bar graphs,
Venn diagrams, and line graphs.
(132 lessons)
Math 3 Nancy Larson (©1994)
Grade 3 children use simulations and games to learn and practice new
concepts. Social studies and science connections are stressed. Children
will skip count by whole numbers; compare and order numbers; identify place
value; identify ordinal position to twentieth; identify and complete patterns;
solve routine and nonroutine problems; master all basic addition, subtraction,
multiplication, and division facts; add and subtract multidigit numbers;
multiply a multidigit number by a singledigit number; divide by singledigit
divisors; add positive and negative numbers; picture, name, and order fractions;
add and subtract fractions with common denominators; measure to the nearest
quarter inch, millimeter, foot, and yard; identify the volume of standard
containers; compare and measure mass; measure perimeter and area; tell
time to the minute; determine elapsed time; count money; make change for
a dollar; identify angles; identify lines of symmetry; identify function
rules; graph ordered pairs on a coordinate graph; tally; and create, read,
and write observations from real graphs, pictographs, bar graphs, Venn
diagrams, and line graphs.
(140 lessons)
Math 54 Stephen Hake and John Saxon (2nd ed. ©1995)
Math 54 (second edition) contains a thorough review of concepts and
procedures related to whole number operations, including singledigit multiplication
and division. Word problems are incrementally developed and continually
practiced throughout the year. Math 54 is a balanced, integrated mathematics
program that includes continual development of whole number concepts, whole
number computation, mental math, problem solving, patterns and functions,
measurement, geometry, fractions, decimals, statistics, and probability.
The student edition contains no answers; an answer key is provided.
(141 lessons)
Math 65 Stephen Hake and John Saxon (2nd ed. ©1995)
Math 65 (second edition) reviews and expands all of the mathematical
content from Math 54 in an integrated basic mathematics course. The emphasis
on problem solving continues as students are called upon to apply mathematical
tools and techniques to real mathematical situations through word problems.
Math 65 includes whole number concepts and computation, mental computation,
patterns and functions, measurement, and statistics and probability. Work
with fractions, mixed numbers, decimals, and geometry is significantly
expanded. Students are introduced to percentages and negative numbers.
The student edition contains no answers; an answer key is provided.
(140 lessons)
Math 76 Stephen Hake and John Saxon (3rd ed. ©1997)
Math 76 (third edition) reinforces the basic mathematical concepts and
skills that students learned in Math 54 and Math 65. Concepts, procedures,
and vocabulary that students will need in order to be successful in upperlevel
algebra and geometry courses are introduced and continually practiced.
Students learn to simplify expressions containing parentheses as the first
step to solving multistep equations. They are introduced to exponents;
square roots; geometric formulas; and adding, subtracting, multiplying,
and dividing signed numbers. Math 76 students work extensively with ratios,
percentages, fractions, mixed numbers, and decimals. Daily mental math
and problemsolving exercises enhance students’ repertoire of skills and
increase their mathematical power. The student edition contains no answers;
an answer key is provided.
(138 lessons)
Math 87 Stephen Hake and John Saxon (1st ed. ©1997)
Math 87 (first edition) is a transition program for students who have
completed Math 76 but are not ready to begin pre algebra. Basic mathematical
concepts and skills are reviewed and reinforced. Concepts, procedures,
and vocabulary needed to succeed in upperlevel mathematics courses are
introduced and developed incrementally with continual practice.Math 87
includes the study of fractions, decimals, percents, and ratios; perimeter,
circumference, area, and volume; and exponents, scientific notation, and
signed numbers. Students continually practice problemsolving techniques
through word problems. The student edition contains no answers; an answer
key is provided.
(135 lessons)
Algebra 1/2 John Saxon (2nd ed. ©1997)
Algebra 1/2 (second edition) covers all topics normally taught in pre
algebra as well as additional topics from geometry and discrete mathematics.
It is recommended for use by seventh graders who plan to take firstyear
algebra in the eighth grade, or by eighth graders who plan to take firstyear
algebra in the ninth grade. Algebra 1/2 represents the culmination of the
study of pre algebra mathematics. Students completing the program
should be wellversed in the following areas: fractions, decimals, mixed
numbers, signed numbers, numbers in base 2, arithmetic operations involving
all these forms of numbers, order of operations, percents, proportions,
ratios, divisibility, rounding, place value, unit conversions, scientific
notation, and word problems involving these pre algebraic concepts. Students
are introduced to rudimentary algebra topics such as the evaluation of
algebraic expressions, the simplification of algebraic expressions, and
the solution of linear equations in one unknown. Also included are geometric
concepts and topics such as perimeter, area, surface area, volume, classification
of geometric figures and solids, geometric constructions, and symmetry.
The student edition contains answers to odd numbered problems; an answer
key with all answers is provided.
(137 lessons)
Algebra 1 John Saxon (3rd ed. ©1997)
Algebra 1 (third edition) covers topics typically treated in a firstyear
algebra course. Specific topics include arithmetic and evaluation of expressions
involving signed numbers, exponents and roots, properties of real numbers,
absolute value and equations and inequalities involving absolute value,
scientific notation, unit conversions, solution of equations in one unknown
and solution of simultaneous equations, the algebra of polynomials and
rational expressions, word problems requiring algebra for the solution
(such as uniform motion and coin problems), graphical solution of simultaneous
equations, Pythagorean theorem, algebraic proofs, functional notation and
functions, solution of quadratic equations by factoring and completing
the square, direct and inverse variation, exponential growth, computation
of the perimeter and area of twodimensional regions, computation of the
surface area and volume of a wide variety of geometric solids, and statistics
and probability. The student edition contains answers to odd numbered problems;
an answer key with all answers is provided.
(120 lessons)
Algebra 2 John Saxon (2nd ed. ©1997)
Algebra 2 (second edition) not only treats topics that are traditionally
covered in secondyear algebra but also covers a considerable amount of
geometry. Specific algebra topics covered include the following: graphical
solution of simultaneous equations, scientific notation, radicals, roots
of quadratic equations including complex roots, properties of real numbers,
inequalities and systems of inequalities, logarithms and antilogarithms,
exponential equations, basic trigonometric functions, algebra of polynomials,
vectors, polar and rectangular coordinate systems, and a wide spectrum
of algebraic word problems. Time is spent developing geometric concepts
and writing proof outlines. Students completing Algebra 2 will have studied
the equivalent of one semester of informal geometry. Applications to other
subjects such as physics and chemistry, as well as "realworld" problems,
are covered, including gas law, force vector, chemical mixture, and percent
markups. Set theory, probability and statistics, and other topics are also
included. The student edition contains answers to odd numbered problems;
an answer key with all answers is provided.
(129 lessons)
Advanced Mathematics John Saxon (2nd ed. ©1996)
In Advanced Mathematics (second edition), topics from algebra, geometry,
trigonometry, discrete mathematics, and mathematical analysis are interwoven
to form a fully integrated text. Specific topics covered in the text include
permutations and combinations, trigonometric identities, inverse trigonometric
functions, conic sections, graphs of sinusoids, rectangular and polar representation
of complex numbers, De Moivre’s theorem, matrices and determinants, the
binomial theorem, and the rational roots theorem. A rigorous treatment
of Euclidean geometry is also presented. Word problems are developed throughout
the problem sets and become progressively more elaborate. The graphing
calculator is used to graph functions and perform data analysis. Conceptuallyoriented
problems that prepare students for college entrance exams (such as the
ACT and SAT) are included in the problem sets. The student edition contains
answers to odd numbered problems; an answer key with all answers is provided.
(125 lessons)
Calculus John Saxon and Frank Wang (1st ed. ©1997)
Calculus treats all the topics normally covered in an Advanced Placement
ABlevel calculus program, as well as many from a BClevel program. The
text begins with a review of those mathematical concepts and skills required
for calculus. In the early problem sets, students practice setting up word
problems they will later encounter as calculus problems. The problem sets
contain multiplechoice and conceptually  oriented problems similar to
those found on the Advanced Placement examination. Whenever possible, students
are provided an intuitive introduction to concepts prior to a rigorous
examination of them. Proofs are provided for all important theorems. For
example, three proofs, one intuitive and two rigorous, are given for the
Fundamental Theorem of Calculus. Numerous applications to physics, chemistry,
engineering, and business are also treated in both the lessons and the
problem sets. Use of this text has allowed students to take the Advanced
Placement examination and score well. The student edition contains answers
to odd numbered problems; an answer key with all answers is provided.
(117 lessons)
Physics John Saxon (1st ed. ©1993)
Physics was written with both average and gifted students in mind. The
subject is taught at an introductory level, allowing the average high school
student to grasp the concepts of Newton’s laws, statics, dynamics, thermodynamics,
optics, dc circuits, waves, electromagnetics, and special relativity. The
topics are covered to a depth appropriate for college students majoring
in nonengineering disciplines. Consequently, gifted students who use this
book will have great success with the Advanced Placement physics examination
and average students who are willing to do the homework will also be able
to pass the examination. This book does not require that the teacher have
a background in physics. Any teacher who has taught second year algebra,
especially Saxon’s Algebra 2, can teach this book successfully. Topics
from the Advanced Placement Level B Exam can be covered before the exam
is given in early May. The student edition contains answers to odd numbered
problems; an answer key with all answers is provided.
(100 lessons)
Saxon Phonics
Phonics K Lorna Simmons (©1998)
Phonics K begins by working with auditory discrimination skills to
see if the child is aware of different sounds of the English language,
indicating readiness to learn to read. When the child is ready, the sound,
name, and written form of each letter is taught. In order to provide plenty
of time for practice, one week is devoted to each letter. When a new letter
is taught, the child reviews all previously taught letters to ensure sufficient
exposure to and mastery of each letter. After learning three letters, the
child begins to blend sounds to create words and unblend words to spell.
The child is never asked to read or write with sounds that have not been
taught. Oral assessments are included to monitor progress. Games and activities
are provided for remediation and motivation.
Phonics K Teaching Tools (packaged in Home Study Kit with Student Materials
and Teacher’s Manual)
(140 lessons)
Phonics 1 Lorna Simmons (©1998)
Phonics 1 begins by teaching a new letter or letter cluster every day,
then reviewing those letters for as long as necessary. The firstgrader
learns two letters, then begins blending sounds to read and unblending
words to spell. As the child progresses, he or she is given small books
(readers) that contain words to blend. Comprehension and spelling tests
are provided to monitor progress. Games and activities are also provided
for remediation and motivation. Each day the child reviews all previous
learning and is given an additional worksheet for continued reinforcement.
Spelling rules are taught so that the child learns to spell by using knowledge
instead of memorization only. Common suffixes and a few prefixes are taught.
Phonics 1 Teaching Tools (packaged in Home Study Kit with Student Materials
and Teacher’s Manual)
(140 lessons)
Phonics 2 Lorna Simmons (©1998)
Phonics 2 begins with a quick review of vowels and consonants and then
moves to decoding and reading comprehension. The secondgrader reviews
all situations covered in Phonics 1, then is exposed to higher levels of
comprehension (through the presentation of factual as well as fictional
content), harder spelling words, higherlevel vocabulary, and an indepth
study of prefixes and suffixes. The child is also presented with information
regarding the history of the English language. As in Phonics 1, comprehension
and spelling tests are provided to monitor progress, and games and activities
are provided for remediation and motivation. Worksheets are provided for
continual reinforcement.
Phonics 2 Teaching Tools (packaged in Home Study Kit with Student Materials
and Teacher’s Manual)
(140 lessons)
