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In which order should you study
the Math Mammoth "blue series" books?
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In which order to study Math Mammoth "Blue Series" books?

Most people who buy my 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 1-5, and fairly complete for grade 6. The topics missing are:

  • For grade 6: statistics, probability, and integers.

I am writing more books to make this series more complete as time goes on. You can find worksheets for these missing topics in my Golden Series books and in Light Blue grade 6.

People have frequently asked me in what order the books should be studied. The following is an outline:

Suggestion for the study order

Books Notes
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
Parts of:
Clock
Money
Measuring
Early Geometry
These books span about three grade levels (grades 1-3), and you could really decide to study these topics in between various books, however you like.
Add & Subtract 2-A
Add & Subtract 2-B
Place Value 2
Introduction to Fractions
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. You can go through some of the first lessons from Introduction to Fractions, which is for grades 2-4 approximately.
Add & Subtract 3
Place Value 3
Multiplication 1
Division 1
Here you need to study multiplication before division.
The rest of:
Clock
Money
Measuring 1
Early Geometry
Introduction to Fractions
These books span about three grade levels (grades 1-3), and you could really decide to study these topics in between various books, however you like. Introduction to Fractions is for grades 2-4.
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 4-6.
Multiplication Division 3
Fractions 1
Fractions 2
Decimals 2
Place Value 5
These books are for grades 5-6. The order of study is a suggestion only. You could study these topics in several different orders, or even simultaneously.
The Four Operations (with a Touch of Algebra)

Ratios & Proportions & Problem Solving
Fractions & Decimals 3
Percent
Geometry 2
The two books listed first deal with problem solving and some algebraic concecpts. The book Fractions & Decimals 3 goes through all of fraction and decimal arithmetic, quicker than the fraction and decimal books listed above, and with more decimal digits and larger denominators. The books here are suitable for 5th-7th grade.


  • Navigate by topic
  • Navigate by grade

The books listed below are from the Blue Series (worktexts by topic) and the Green Series (worksheet collections by topic). If you are looking for full curriculum by grade, or for workbooks/worksheets by grade level, please click on the "Navigate by grade" tab.

Addition & Subtraction

Addition 1 worktext (grade 1)
Subtraction 1 worktext (grade 1)
Add & Subtract 2-A worktext (grades 1-2)
Add & Subtract 2-B worktext (grade 2)
Add & Subtract 3 worktext (grades 2-3)
Add & Subtract 4 worktext (grades 3-4)

Place Value

Place Value 1 worktext (grade 1)
Place Value 2 worktext (grade 2)
Place Value 3 worktext (grade 3)
Place Value 4 worktext (grade 4)
Place Value 5 worktext (grades 5-6)

Multiplication & Division

Multiplication 1 worktext (grade 3)
Division 1 worktext (grade 3)
Multiplication 2 worktext (grade 4)
Division 2 worktext (grade 4)
Multiplication Division 3 worktext (grade 5)
Multiplication & Division worksheets (grades 3-6)
Numbers & Operations worksheets (grades 3-6)

Clock and Money

Clock worktext (grades 1-3)
U.S. Money worktext (grades 1-3)
Canadian Money worktext (grades 1-3)
British Money worktext (years 2-4)
European Money worktext (grades 1-3)

Measuring

Measuring 1 worktext (grades 1-3)
Measuring 2 worktext (grades 4-5)
Metric Measuring worktext (grades 1-4)
Measuring worksheets (grades 3-6)

Fractions

Introduction to Fractions worktext (grades 2-4)
Fractions 1 worktext (grades 5-6)
Fractions 2 worktext (grades 5-6)
Fractions & Decimals 3 worktext (grade 6)
Fractions worksheets (grades 3-6)

Decimals

Decimals 1 worktext (grades 4-5)
Decimals 2 worktext (grades 5-6)
Fractions & Decimals 3 worktext (grade 6)
Decimals worksheets (grades 3-6)

Geometry

Early Geometry worktext (grades 1-3)
Geometry 1 worktext (grades 4-5)
Geometry 2 worktext (grades 6-7)
Geometry worksheets (grades 3-7)

Ratio, Proportions, Percent & algebraic thinking

The Four Operations (with a Touch of Algebra)
  worktext (grades 5-6)
Ratios & Proportions & Problem Solving
  worktext (grades 5-6)
Percent worktext (grades 6-8)
Ratio, Proportion & Percent worksheets (grades 5-7)

Other topics

Integers worksheets (grades 5-6)
Statistics worksheets (grades 4-7)

Make It Real Learning

States by the Numbers series (grades 3-6)

Arithmetic I (grades 3-6)
Fractions, Percents, and Decimals I (grades 4-8)
Fractions, Percents, and Decimals II (grades 4-8)
Sets, Probability, and Statistics I (grades 6-10)
Linear Functions I (grades 9, 11)
Linear Functions II (grade 11)
Quadratic Functions I (grades 9, 11)
Exponential & Logarithmic Functions I (grades 11-12)
Periodic & Piecewise Functions I (grades 11-12)
Polynomial, Power, Logistic & Rational Functions I (grades 11-12)
Calculus I (grade 12)

Math Teaching Emails


This is a little "virtual" email course. You will receive:

A package of 300 free worksheets and sample pages; 7 math teaching articles on various topics ranging from coherent curriculum to fractions; 2 emails discussing the books; Homeschool Math newsletter (see archives).

Note: You will FIRST get an email that asks you to confirm your email address. PLEASE check also your SPAM/JUNK folder for this confirmation email.

Math Mammoth Tour


Confused about the different options? Take a 7-day virtual email tour around Math Mammoth! You'll receive:

A package of over 300 free worksheets and sample pages; 7 individual emails on 7 subsequent days that answer the most commonly asked questions, including "What is the difference between all these different-colored series?" Homeschool Math Newsletter (see archives).

This way, you'll have time to digest the information over one week, plus an opportunity to ask me personally which book would be right for your child or students.

Note: You will FIRST get an email that asks you to confirm your email address. PLEASE check also your SPAM/JUNK folder for this confirmation email.

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