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Math Mammoth Blue Series books are worktexts or units on specific math topics.
A worktext means that each book includes both the explanations of the concepts and lots of varied problems. Thus, these books combine the textbook and workbook into one.
Each book in the series concentrates on a few topics only, such as addition & subtraction, place value, clock, measuring, money, multiplication, division, geometry, fractions, decimals, ratios, percent, integers, and so on.
Check out the sample file - you will get from the books, totally free!
This topical arrangement makes the books suitable for many situations, such as:
The books in the Blue Series currently cover all necessary topics for grades 1-7. Please click here for a suggested order of study and grade-level matching for the Blue Series books.
The PDF files in this bundle are enabled for annotating. This means that the student can complete the PDF file on the computer, using the typewriter and drawing tools available in Acrobat Reader version 9 or higher, or on a tablet device such as an iPad, using a PDF app that has annotating tools.
List of the books included
The grade-levels mentioned are recommendations only. The books themselves do not mention any grade levels and are usually usable across several grade levels.
Addition and subtraction books
Addition 1 - grade 1. Addition within 0-10, missing addend, word problems.
Subtraction 1 - grade 1. Addition and subtraction facts within 0-10, difference, "more than", word problems.
Add & Subtract 2 A - grades 1-2. Adding within 0-100 but without carrying or borrowing. Word problems.
Add & Subtract 2 B - grade 2. Carrying and borrowing are explained here, with the help of visual models.
Add & Subtract 3 - grades 2-3. Adding and subtracting within 0-1000. Lots of mental math techniques included.
Add & Subtract 4 - grades 3-4. Adding and subtracting within 0-10,000 and lots of problem solving.
Place value books
Place Value 1 - grade 1. Tens and ones. This book uses a 100-bead abacus, a visual model of base-ten blocks, number lines and a 100-chart.
Place Value 2 - grade 2. Three-digit numbers, comparing, rounding.
Place Value 3 - grade 3. Four-digit numbers, comparing, rounding.
Place Value 4 - grade 4. Numbers till millions, comparing, rounding.
Place Value 5 - grades 5-6. Numbers till trillions, rounding, scientific notation, calculator usage.
Clock and money
Clock - grades 1-3. Covers reading the clock, elapsed time, and calendar.
Money - grades 1-3. Learn to count U.S. coins, count change, and solve problems.
Canadian Money - grades 1-3. Same as above for Canadian coins and bills.
British Money - years 2-4. Same as above for UK coins and notes (pounds and pence).
Australian Money - years or grades 1-3. Same as above but using Australian cents and bills.
New Zealand Money - years or grades 1-3. Same as above but using New Zealand cents and bills.
South African Money - grades 1-4. Same as above for South African cents and rand.
European Money - grades 1-3. Same as above for Euro coins and bills.
Measuring 1 - grades 1-3. Teaches all measuring units in both customary and metric systems and some conversions. Lots of hands-on exercises with measuring cups, scales, and so on.
Measuring 2 - grades 4-5. Teaches all units in both customary and metric systems and conversions between them, including the usage of decimals and fractions with measuring units.
Metric Measuring - grades 1-5. This book contains all the lessons from the Measuring 1 and Measuring 2 books (above) that deal with metric measuring units.
Multiplication and division books
Multiplication 1 - grades 2-3. Multiplication concept, word problems, and a system to memorize the multiplication tables.
Division 1 - grade 3. Concept of division, basic division facts by one-digit numbers, remainder, word problems.
Multiplication 2 - grade 4. Multi-digit multiplication and problem solving.
Division 2 - grade 4. Long division, finding fractional parts of a quantity, and problem solving.
Multiplication & Division 3 - grades 5-6. Multiplication and division with larger numbers, factoring, primes.
Geometry & Statistics
Early Geometry - grades 1-3. Basic shapes and solids, symmetry, area, and perimeter.
Geometry 1 - grades 4-5. All basic geometry concepts for this level with lots of drawing-based exercises.
Geometry 2 - grades 6-7. The area, surface area, and volume of all basic shapes, as required in middle school geometry.
Geometry 3 - grades 6-7. Angle relationships, similar figures, congruent transformations, and constructions.
Data and Graphs - grades 2-5. Reading and making bar graphs, pictograms, line graphs, circle graphs; average (mean) and mode.
Statistics & Probability - grades 6-7. Distributions, histograms, stem-and-leaf plots, mean, median, mode, random sampling, comparing two populations, simple and compound probability.
Fractions and decimals books
Introduction to Fractions - grades 1-4. This book relies almost completely on visual fraction models, and does not go into the most difficult fraction operations such as adding unlike fractions or division.
Fractions 1 - grade 5. The first half of fraction arithmetic: equivalent fractions, fraction addition and subtraction, comparing fractions -- all explained with the help of visual models.
Fractions 2 - grades 5-6. The second half of fraction topics, concentrating on fraction multiplication & division.
Decimals 1 - grades 4-5. Builds a solid foundation for the understanding of decimal numbers with 1-2 decimal digits and some of the basic operations with them.
Decimals 2 - grades 5-6. Explaining all of decimal arithmetic, especially the "tricky" decimal multiplication and division.
Fractions & Decimals 3 - grade 6. All of fraction and decimal arithmetic, with larger denominators in fractions and up to 6 decimal digits in decimals.
Ratios, proportions, percent & algebraic thinking
Math Mammoth Percent math book cover The Four Operations (with a Touch of Algebra) - grades 5-6. Review of the four operations with whole numbers, order of operations, long division & multiplication, simple equations & expressions, exponents, introduction to functions.
Ratios, Proportions & Problem Solving - grades 5-7. Ratios, proportions, scaling geometric figures, floor plans, solving problems using the bar (block) model: problems with fractional parts or ratios.
Percent - grades 6-8. Percent, percentage of number, discounts, sales tax, circle graphs, percent of change, percent of comparison.
Expressions & Equations - grades 6-7. The beginnings of algebra: expressions and equations on an easy level, without the usage of negative numbers.
Integers - grades 6-8. Integers, addition, subtraction, multiplication, division, and coordinate grid problems.
Rational Numbers - grades 7-8. Arithmetic with negative decimals and negative fractions, complex fractions, scientific notation, and more.
Linear Equations - grades 7-8. One-step, two-step, and multi-step linear equations. This book does involve negative numbers.