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In which order to study Math Mammoth Blue Series books?

People who buy Math Mammoth Blue Series books use them for many different purposes: as a supplement to a main curriculum, for review, or for initial teaching, even to teach adults. They are self-teaching worktexts that concentrate on one or a few topics per book, which makes them suitable for various teaching scenarios.

I have not originally written the Blue Series books to be a complete curriculum, but you can use them as such. The books are complete for grades 1-7, and even cover some topics for 8th grade (Pythagorean Theorem; linear equations, geometric transformations).

People have frequently asked me in what order the books should be studied. The following is an outline or a suggestion for the study order of the books.


Suggestion for study order

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.
Introduction to Fractions
Data and Graphs
Factors & Factoring
Introduction to Fractions is approximately for grades 2-4. Have your student study the latter part of this book. Data and Graphs for grades 2-5.  The student can go through some of the middle lessons in this book. Factors & Factoring is for grades 4-6; divisibility, primes, and finding factors are topics for grade 4.
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
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.
Factors & Factoring From this book, the topic for 5th grade is prime factorization.
The rest of:
Measuring 2
Geometry 1
These two books are for grades 4-5.
GRADE 6  
Fractions & Decimals 3
Geometry 2
These books can be studied in most 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, the student should know the basics of percent.
Factors & Factoring From this book, the topics for 6th grade are: LCM, GCF, and factoring sums.
The beginning portions (the first half) of:
Percent
Integers
Statistics & Probability
The first halves of these books are for 6th grade.
GRADE 7  
The rest of:
Percent
Integers
Statistics & Probability
The latter halves of these books are technically 7th grade material.
Expressions & Equations
Rational Numbers
Linear Equations
Geometry 3
These books are suitable for 7th-8th grades and cover pre-algebra topics. They are best studied in the order presented here.
GRADE 8  
Exponents and Scientific Notation
Linear Equations
Geometry 4
These books cover topics for 8th grade.


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