The Blue Series books are self-teaching worktexts that concentrate on one or a few topics in each book, which makes them suitable for many different purposes. For example, you can use them to supplement your math curriculum, for review, to fill in gaps, or for initial teaching — even to teach adults.
The Blue Series books were not originally written to be a complete curriculum, but you can use them as such if you desire. The books do actually cover all the necessary math topics for grades 1-7, and even a few topics for 8th grade (the Pythagorean Theorem; linear equations).
People have frequently asked me in what order the books should be studied. The following is an outline or suggestion for the study order of the books.
Books | Notes |
GRADE 1 | |
Addition
1 Subtraction 1 Place Value 1 |
You could study Addition 1 and Place Value 1 somewhat simultaneously, or back and forth, and after those, go into Subtraction 1. The focus is on tens and ones, concept of addition, concept of subtraction, and memorizing basic addition/subtraction facts within 0-10 |
GRADES 1-2 | |
Parts of: Clock Money Measuring 1 Early Geometry Introduction to Fractions |
The money and measuring books span about three grade levels (grades 1-3), and you can decide to study these topics in between various books, however you like. Introduction to Fractions is approximately for grades 2-4, and Clock is for grades 1-4. Your student can go through some of the first lessons from these two. |
GRADE 2 | |
Add & Subtract 2-A Add & Subtract 2-B Place Value 2 Data and Graphs |
The first two books deal with different aspects of adding and subtracting within 0-100, and are best studied in this order. Place Value 2 is about hundreds, tens, and ones. Data and Graphs is for grades 2-5, and your student can go through some of the first lessons from it. |
GRADE 3 | |
Add
& Subtract 3 Multiplication 1 Division 1 Place Value 3 |
These books are specifically for grade 3. They can be studied in any order, except the student needs to study Multiplication 1 before Division 1. |
Rest of: Money Measuring 1 Early Geometry |
These books span about three grade levels (grades 1-3), and you may decide to study these topics in between various other books, however you like. |
Clock Introduction to Fractions Data and Graphs |
Introduction to Fractions is approximately for grades 2-4, Data and Graphs for grades 2-5, and Clock is for grades 1-4. You can go through some of the middle lessons in these books. |
GRADE 4 | |
Add & Subtract 4 Place Value 4 Multiplication 2 Division 2 Decimals 1 |
These books deal with addition and subtraction terminology & strategies, decimals, problem solving, graphs, long multiplication and long division. They are all about 4th grade level. |
Measuring 2 Geometry 1 |
These two books are fairly independent of the others, and can fit into many places. The material is for grades 4-5. |
GRADE 5 | |
Multiplication Division 3 Fractions 1 Fractions 2 Decimals 2 Place Value 5 The Four Operations (with a Touch of Algebra) |
With the exception of the Four Operations book (it's for grades 5-6), these books are for grade 5. The order of study is a suggestion only. You could study these topics in several different orders, or even simultaneously. |
The rest of: Measuring 2 Geometry 1 |
These two books are for grades 4-5. |
GRADES 6-7 | |
The Four Operations (with a Touch of Algebra) Fractions & Decimals 3 Percent Ratios, Proportions & Problem Solving Geometry 2 Statistics & Probability |
These books are suitable for 6th-7th grade, and can be studied in any order, or even side-by-side simultaneously. The book Fractions & Decimals 3 goes through all of fraction and decimal arithmetic, quicker than the fraction and decimal books listed before, and with more decimal digits and larger denominators. Before studying Geometry 2 or Statistics & Probability, the student should know the basics of percent. |
Expressions & Equations Integers Rational Numbers Linear Equations Geometry 3 |
These three books are suitable for 6th-7th grades and cover pre-algebra topics. They are best studied in the order presented here. The student has to be able to solve simple equations before studying the Pythagorean Theorem in Geometry 3. |