The Blue Series books are self-teaching worktexts, containing both explanations and exercises. They are designed for parents and children - explaining things clearly and easily that most children can study on their own.
This index includes the complete lesson lists from all Math Mammoth Blue Series books for Grades 4-7. I have a separate index for Blue Series books for grades 1-3.
Follow the links to view the free sample pages and worksheets.
Add Subtract 4 (Grades 3 - 4)
Place Value 4 (Grade 4)
Place Value 5 (Grade 5)
Multiplication 2 (Grade 4)
Division 2 (Grade 4)
Multiplication & Division 3 (Grade 5)
Measuring 2 (Grades 4 - 5)
Metric Measuring (Grades 1 - 5)
Geometry 1 (Grades 4 - 5)
Geometry 2 (Grade 6)
Geometry 3 (Grade 7)
Geometry 4 (Grade 8)
Square Roots & The Pythagorean Theorem (Grades 7-8)
Fractions 1 (Grade 5)
Fractions 2 (Grade 5)
Decimals 1 (Grades 3 - 4)
Decimals 2 (Grades 5 - 6)
Fractions & Decimals 3 (Grade 6)
Ratios, Proportions & Problem Solving (Grades 6 - 7)
The Four Operations (with a Touch of Algebra) (Grades 6 - 7)
Percent (Grades 6 - 7)
Integers (Grades 6 - 7)
Data and Graphs (Grades 2 - 5)
Statistics and Probability (Grades 6 - 7)
Expressions and Equations (Grades 6 - 7)
Rational Numbers (Grades 7 - 8)
Linear Equations (Grades 7 - 8)
SAMPLES AND LESSON LISTS
Contents and Introduction
See sample
Addition Review
Adding in Columns
Subtraction Review
Subtract in Columns
See sample
Patterns and Mental Math
See sample
Patterns in Pascal's Triangle
Bar Models in Addition and Subtraction
See
sample
Order of Operations
Making Bar Graphs
Line Graphs See sample
Rounding
Estimating
Money and Discounts
Calculate and Estimate Money Amounts
See
sample
Review
Contents and Introduction See sample
Thousands
At the Edge of Whole Thousands
See sample
More Thousands
See sample
Practicing with Thousands
Place Value with Thousands
Comparing with Thousands
Adding and Subtracting Big Numbers
Rounding and Estimating Large Numbers
See sample
Multiples of 10, 100 and 1000
Review
Contents and Introduction See sample
A Little Bit of Millions
Place Value up to Billions
Exponents and
Powers
See sample
Adding and Subtracting Large Numbers
Rounding
Scientific Notation
See
sample
The
Calculator and Estimating See
sample
When to Use the Calculator
Review
Contents and Introduction
See
sample
Understanding Multiplication
Multiplication Tables Review
Scales Problems See sample
Multiplying by Whole Tens and Hundreds
Multiply in Parts 1 See sample
Multiply in Parts 2
More Practice
Estimating in Multiplication See
sample
Multiply in Columns—the Easy Way
Multiply in Columns—the Easy Way, Part 2
Multiplying in Columns, the Standard Way
See sample
Multiply in Columns Practice
Order of Operations Again
Money and Change
See sample
So Many of the Same Thing
Multiplying 2-Digit Numbers in Parts
See sample
Multiply by Whole Tens in Columns
See
sample
Multiplying in Parts: Another Way
The Standard Multiplication Algorithm with a Two-Digit Multiplier
Review
Contents and Introduction See sample
Review of Division
Division Terms and Division with Zero See sample
Dividing with Whole Tens and Hundreds
Finding Fractional Parts with Division
See sample
Order of Operations and Division
The Remainder, part 1
The Remainder, part 2
Long Division 1 See sample
Long Division 2
Long Division 3
Long Division with 4-Digit Numbers
More Long Division
Remainder Problems
Long Division with Money
Long Division Crossword Puzzle
Average
Problems with Fractional Parts
Problems to Solve
Divisibility See sample
Prime Numbers
Finding Factors
Review
Contents and Introduction See sample
Warmup: Mental Math
Order of Operations and Equations
Review: Addition and Subtraction
Review: Multiplication and Division See sample
Multiplying in Parts
The Multiplication Algorithm
More Multiplication
Long Division
See sample
A Two-Digit Divisor 1
A Two-Digit Divisor 2
Long Division and Repeated Subtraction
Balance Problems and Equations
More Equations
See sample
Divisibility Rules
Review: Factors and Primes
Prime Factorization 1
The Sieve of Eratosthenes and Prime Factorization
See Sample
Using Factoring When Simplifying Fractions
The Greatest Common Factor (GCF)
Factoring Sums
The Least Common Multiple (LCM)
Introduction to Ratios
Review 1
Review 2
Contents and Introduction See sample
Time Units
The 24-Hour Clock
Elapsed Time or How Much Time Passes
Measuring
Temperature: Celsius
Measuring Temperature: Fahrenheit
Temperature Line Graphs
Measuring Length
See sample
More of Measuring Length
Measuring in Inches
More Measuring in Inches and Centimeters
Feet, Yards, and Miles
See
sample
Metric Units for Measuring Length
See sample
Customary Units of Weight
Metric Units of Weight
See Sample
Customary Units of Volume
Metric Units of Volume
Review 1
Decimals in Measuring Units and More
Rounding and Estimating
The Metric System
Converting Between Customary Units of Measurement
Fractions and Decimals in Measuring Units
See sample
Review 2
Convert Customary Measuring Units
Convert Metric Measuring Units
Convert Between Customary and Metric
Review 3
Using Rates to Convert Measuring Units
Review 4
Contents and Introduction See sample
Measuring Length
See
sample
Exploring Measuring
Measuring Lines in Centimeters
Measuring to the Nearest Centimeter
Centimeter and Millimeters
See sample
Meters and Kilometers 1
Meters and Kilometers 2
Metric Units for Measuring Length
Weight in Kilograms
Grams and Kilograms
Metric Units of Weight See
sample
Milliliters and Liters
Metric Units of Volume
See
sample
Decimals in Measuring Units and More
The Metric System
Rounding and Estimating
Measuring Temperature: Celsius
See sample
Temperature Line Graphs
Time Units
The 24-Hour Clock
Elapsed Time or How Much Time Passes
Review
Contents and Introduction See sample
Review: Area of Rectangles See sample
Review: Area and Perimeter
Lines, Rays, and Angles
Measuring Angles See sample
Drawing Angles
Angle Problems
Estimate Angles
Review: Angles
Parallel and Perpendicular Lines
Parallelograms
Triangles See sample
Line Symmetry
Review: Drawing Polygons
Circles See sample
Quadrilaterals
Equilateral, Isosceles, and Scalene Triangles
Area and Perimeter Problems
Volume
Volume of Rectangular Prisms (Cuboids) See sample
A Little Bit of Problem Solving
Review 1
Review 2
Contents See sample
Quadrilaterals Review
Triangles Review
Area of Right Triangles
Area of Parallelograms See sample
Area of Triangles
Polygons in the Coordinate Grid
Area of Polygons
Area of Shapes Not Drawn on Grid See sample
Area and Perimeter Problems
Nets and Surface Area 1 See sample
Nets and Surface Area 2
Problems to Solve — Surface Area
Converting Between Area Units
Volume of a Rectangular Prism
with Sides of Fractional Length
Volume Problems See sample
Review
Contents See sample
Angle Relationships See sample
Angles in a Triangle
Basic Geometric Constructions See sample
More Constructions
Drawing Problems
Circumference of a Circle
Area of a Circle See sample
Proving the Formula for the Area of a Circle
Area and Perimeter Problems
Surface Area
Conversions Between Customary Units of Area
Conversions Between Metric Units of Area
Slicing Three-Dimensional Shapes
Volume of Prisms and Cylinders
Review
Contents See sample
Geometric Transformations and Congruence, Part 1
Geometric Transformations and Congruence, Part 2
Translations in the Coordinate Grid
Reflections in the Coordinate Grid See sample
Translations and Reflections
Rotations in the Coordinate Grid
Sequences of Transformations
Sequences of Transformations, Part 2
Dilations
Dilations in the Coordinate Grid
Similar Figures, Part 1 See sample
Similar Figures, Part 2
Similar Figures: More Practice
Review: Angle Relationships
Corresponding Angles
More Angle Relationships with Parallel Lines See sample
The Angle Sum of a Triangle
Exterior Angles of a Triangle
Angles in Similar Triangles, Part 1
Angles in Similar Triangles, Part 2
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Volume of Spheres
Volume Problems See sample
Review
Contents See sample
Square Roots See sample
Equations That Involve Taking a Square Root
The Pythagorean Theorem See sample
The Pythagorean Theorem: Applications See sample
A Proof of the Pythagorean Theorem
Review
Contents and Introduction See sample
Fraction Terminology
Review: Mixed Numbers
Adding Mixed Numbers See sample
Subtracting Mixed Numbers 1
Subtracting Mixed Numbers 2
Equivalent Fractions 1 See sample
Equivalent Fractions 2
Adding and Subtracting Unlike Fractions See sample
Finding the (Least) Common Denominator
Add and Subtract: More Practice
Adding and Subtracting Mixed Numbers
Comparing Fractions See sample
Measuring in Inches
Review
Contents and Introduction See sample
Simplifying Fractions 1
Simplifying Fractions 2
Multiply Fractions by Whole Numbers See sample
Multiplying Fractions by Fractions See sample
Fraction Multiplication and Area See sample
Simplifying Before Multiplying
Multiplying Mixed Numbers
Multiplication as Scaling/Resizing
Fractions Are Divisions
Dividing Fractions 1: Sharing Divisions
Dividing Fractions 2: Fitting the Divisor See sample
Dividing Fractions 3a: The Shortcut
Dividing Fractions 3b: Using the Shortcut
Dividing Mixed Numbers
Introduction to Ratios
Fractions to Decimals 1
Fractions to Decimals 2 - With a Calculator
Review
Contents and Introduction See sample
Decimal Numbers—Tenths
Adding and Subtracting with Tenths
Two Decimal Digits—Hundredths See sample
Adding and Subtracting Decimals in Columns
Add and Subtract Decimals Mentally
Using Decimals with Measuring Units See sample
Using Mental Math with Money See sample
Review
Contents and Introduction See sample
Review: Tenths and Hundredths
More Decimals: Thousandths
Decimals on a Number Line
Add and Subtract Decimals—Mental Math
Add and Subtract Decimals in Columns
Comparing Decimals See sample
Rounding Decimals
Multiply a Decimal by a Whole Number
See sample
More on Multiplying Decimals
Multiplying Decimals by Decimals
More Practice and Review
Divide Decimals by Whole Numbers 1 See sample
Divide Decimals by Whole Numbers 2
Review 1
Multiply Decimals by Decimals
Multiplication as Scaling
Decimal Multiplication—More Practice
Dividing Decimals—Mental Math
More Division with Decimals
Multiply and Divide by Powers of Ten 1
Multiply and Divide by Powers of Ten 2
The Metric System, Part 1
The Metric System, Part 2
Divide Decimals by Decimals 1 See sample
Divide Decimals by Decimals 2
Converting Between Customary Units of Measurement
Rounding Measurements
Problem Solving
Review 2
Contents and Introduction See sample
Place Value with Decimals
Comparing Decimals
Add and Subtract Decimals See sample
Rounding Decimals
Review: Multiply and Divide Decimals Mentally
Review: Multiply Decimals by Decimals
Review: Long Division with Decimals
Problem Solving with Decimals
Fractions and Decimals
Multiply and Divide by Powers of Ten
Review: Divide Decimals by Decimals See sample
Divide Decimals by Decimals 2
Convert Customary Measuring Units
Convert Metric Measuring Units
Convert Between Customary and Metric
Decimals Review
Review: Add and Subtract Fractions and Mixed Numbers
Add and Subtract Fractions: More Practice
Review: Multiplying Fractions 1 See sample
Review: Multiplying Fractions 2
Dividing Fractions: Reciprocal Numbers See sample
Divide Fractions
Problem Solving with Fractions 1
Problem Solving with Fractions 2
Fractions Review
Contents and Introduction See sample
Introduction to Ratios
Ratios and Fractions
Ratios and Rates
Unit Rates
Using Equivalent Ratios
Aspect Ratio
Using Ratios to Convert Measuring Units See sample
Solving Proportions 1: Equivalent Rates
Solving Proportions 2: Cross Multiplying
Why Cross Multiplying Works
Solving Proportions 3: Practice
Scaling Figures 1
Scaling Figures 2
See sample
Floor Plans
Problem Solving with Bar Models 1 See sample
Problem Solving with Bar Models 2
Problem Solving with Bar Models 3
Problem Solving with Bar Models 4
Ratio Problems and Bar/Block Models 1
Ratio Problems and Bar/Block Models 2
See sample
Review
Contents and Introduction See sample
Warmup: Mental Math 1
Warmup: Mental Math 2
Review: Addition and Subtraction
Review: Multiplication and Division See sample
Balance Problems and Equations
More Equations See sample
Order of Operations and Equations See sample
Powers and Exponents
Multiplying in Parts
The Multiplication Algorithm
More Multiplication
Multiplying and Dividing in Parts
Long Division
A Two-Digit Divisor 1
A Two-Digit Divisor 2
Long Division and Repeated Subtraction
Review of the Four Operations 1
Review of the Four Operations 2
Lessons in Problem Solving
Coordinate Grid
Number Patters in the Coordinate Grid See sample
More Number Patters in the Coordinate Grid
Review
Contents and Introduction See sample
Percent
What Percentage . . . ? See sample
Percentage of a Number (Mental Math)
See sample
Percentage of a Number: Using Decimals
Discounts See sample
Practice with Percent
Finding the Total When the Percent Is Known
Tenth of a Percent
Ratios, Fractions, and Percents
Review
Circle Graphs
Percent of Change
See sample
Percent of Change, Part 2
Percent of Change: Applications
Comparisons with Percent
Review: Percent See sample
Contents See sample
Coordinate Grid
Coordinate Grid Practice See
sample
Addition and Subtraction on the Number Line
Addition of Integers: Counters and More See sample
Subtraction of Integers
Adding or Subtracting Several Integers
Add and Subtract Roundup
Graphing
Distance and More Practice
Multiplying Integers
Dividing Integers See sample
Negative Fractions
The Order of Operations
Review
Contents and Introduction
See sample
Reading Graphs and Charts
Bar Graphs and Pictographs
More Practice with Bar Graphs and Pictographs
Making Bar Graphs 1
Making Bar Graphs 2 See sample
Making Histograms
Double Bar Graphs
Line Graphs 1
Line Graphs 2
Temperature Line Graphs
Reading Line Graphs See sample
Double and Triple Line Graphs
Graphs: More Practice
Average See sample
Average (Mean)
Mean, Mode, and Bar Graphs See sample
Circle Graphs
Review
Contents and Introduction Statistics & Probability See sample
Understanding Distributions
Mean, Median and Mode
Using Mean, Median and Mode See sample
Range
Measures of Variation
Making Histograms See sample
Boxplots
Stem-and-Leaf Plots
Statistics Project (Optional)
Statistics Review
Review of Data Analysis
Random Sampling See sample
Using Random Sampling
Comparing Two Populations
Comparing Two Samples
Review 1
Probability
Probability Problems from Statistics
Experimental Probability
Counting the Possibilities
Using Simulations to Find Probabilities
Probability of Compound Events See sample
Review 2
Contents See sample
The Order of Operations 1
The Order of Operations 2
Expressions, Part 1 See
sample
Terminology for the Four Operations
Words and Expressions
Expressions, Part 2
Writing and Simplifying Expressions 1: Length and Perimeter
More on Writing and Simplifying Expressions
Writing and Simplifying Expressions 2: Area See sample
Expressions and Equations
Simplifying Expressions
Multiplying and Dividing in Parts
The Distributive Property 1 See sample
The Distributive Property 2
Properties of the Four Operations
Equations
Solving Equations See sample
Writing Equations
Inequalities
Growing Patterns
Using Two Variables
Review 1
Review 2
Contents and Introduction Rational Numbers
See sample
Fractions and Decimals
Rational Numbers
See
sample
Adding and Subtracting Rational Numbers
Multiply and Divide Rational Numbers 1
See sample
Multiply and Divide Rational Numbers 2
See sample
Many Operations with Rational Numbers
Scientific Notation
Equations with Fractions
See sample
Equations with Decimals
Review
Contents and Introduction Linear Equations
See sample
Solving Equations
Addition and Subtraction Equations
Multiplication and Division Equations
Word Problems 1
See sample
Constant Speed
Review 1
Two-Step Equations
See
sample
Two-Step Equations Practice
Growing Patterns
See
sample
A Variable on Both Sides
See
sample
Some Problem Solving
Using the Distributive Property
Word Problems 2
Inequalities
Word Problems and Inequalities
Graphing See
sample
An Introduction to Slope
Speed, Time and Distance
See
sample
Review 2
Please read the complete
descriptions of the books at
www.mathmammoth.com/blue-series.php