# Samples for the Math Mammoth
Blue Series, Grades 4-6

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 4-6. 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 and Division 3 (Grade 5)

Measuring 2 (Grades 4 - 5)

Metric Measuring (Grades 1 - 5)

Geometry 1 (Grades 4 - 5)

Geometry 2 (Grades 6 - 7)

Fractions 1 (Grade 5)

Fractions 2 (Grade 5)

Decimals 1 (Grades 3 - 4)

Decimals 2 (Grades 5 - 6)

Fractions & Decimals 3 (Grades 6 - 7)

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)

Statistics and Probability (Grades 6 - 7)

LIST OF BOOKS

## Add & Subtract 4 (Grades 3 - 4)

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

## Place Value 4 (Grade 4)

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

## Place Value 5 (Grade 5)

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

## Multiplication 2 (Grade 4)

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

## Division 2 (Grade 4)

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

## Multiplication & Division 3 (Grade 5)

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
Prime Factorization 2 See Sample
Greatest Common Factor (GCF)
Least Common Multiple (LCM)
Introduction to Ratios
Review

## Measuring 2 (Grades 4 - 6)

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

## Metric Measuring (Grades 1 - 5)

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

## Geometry 1 (Grades 4 - 5)

Contents and Introduction See sample
Lines, Rays, and Angles
Drawing Right Angles
Measuring Angles See sample
Drawing Angles
Estimate Angles
Parallel and Perpendicular Lines
Triangles See sample
Equilateral and Isosceles Triangles
Quadrilaterals
Polygons 1
Circles See sample
Review: Drawing Figures
Congruent Figures
Similar Figures
Congruent Transformations
Area of Rectangles
Area Versus Perimeter
Area of Right Triangles See sample
Area of Parallelograms
Area of Triangles
Area of Polygons
Area and Perimeter Problems
Volume of a Box
Volume of Rectangular Prisms (Cuboids)
Surface Area of a Rectangular Prism
Pyramids, Prisms, Cylinders, and Cones
A Little Bit of Problem Solving
Review: Geometry

## Geometry 2 (Grades 6 - 7)

Contents and Introduction See sample
Angle Relationships
Classify Triangles
Angles in a Triangle
Quadrilaterals Review
Angles in Polygons See sample
Drawing Problems
Congruent and Similar Figures
Similar Figures and Scale Ratio
Congruent Transformations
Transformations in the Coordinate Grid
Review: Area of Polygons 1 See sample
Review: Area of Polygons 2
Circumference of a Circle
Area of a Circle
Area and Perimeter Problems See sample
Converting Between Metric Area Units
Converting Between Customary Area Units
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Surface Area See sample
Converting Between Units of Volume
Basic Compass and Ruler Constructions 1 See sample
Basic Compass and Ruler Constructions 2
Bisecting Lines and Angles
Geometry Review

## Fractions 1 (Grade 5)

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

## Fractions 2 (Grade 5)

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

## Decimals 1 (Grades 3 - 4)

Contents and Introduction See sample
Decimal Numbers - Tenths
Adding and Subtracting with Tenths See sample
Two Decimal Digits - Hundredths
Comparing Decimals See sample
Comparing Decimals and Fractions
Adding and Subtracting Hundredths
Adding and Subtracting Decimals in Columns
Multiplying Decimals by Whole Numbers
Using Decimals with Measuring Units
Rounding to the Nearest Whole Number See sample
Rounding and Estimating
Multiplying Decimals in Columns
Money
The Art of Estimation
Review

## Decimals 2 (Grades 5 - 6)

Contents and Introduction See sample
Review: Tenths and Hundredths
More Decimals: Thousandths
Comparing Decimals See sample
Rounding
Add and Subtract Decimals
Multiplying Decimals by Whole Numbers See sample
Multiplying Decimals in Columns
Multiplying Decimals by Decimals
More Decimal Multiplication
Long Multiplication
Dividing Decimals - Mental Math
Long Division with Decimals See sample
More Long Division with Decimals
Multiply and Divide by Powers of Ten
Divide Decimals by Decimals 1 See sample
Divide Decimals by Decimals 2
Decimals in Measuring Units and More
Rounding and Estimating
The Metric System
Converting Between Customary Units of Measurement
Number Rule Puzzles
Problem Solving
Review

## Fractions & Decimals 3 (Grades 6 - 7)

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
Scientific Notation
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
Simplifying Fractions Using Factoring
Fraction Terminology
Review: Fractions and Mixed Numbers
Subtracting Mixed Numbers
Adding Unlike Fractions
Review: Simplifying Fractions See sample
Add and Subtract Fractions: More Practice
Multiplying Fractions
Simplifying Before Multiplying See sample
Divide Fractions
Many Operations and Fraction Equations
Comparing Fraction and Decimal Division
Multiplication, Division, and Fractions
Problems with Fractional Parts
Ratio Problems Involving Fractions
Scaling in Maps See sample
Fractions Review

## Ratios & Proportions & Problem Solving (Grades 6 - 7)

Contents and Introduction See sample
Introduction to Ratios
Ratios and Fractions
Ratios and Rates
Using Equivalent Ratios See sample
Aspect Ratio
Using Ratios to Convert Measuring Units
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

## The Four Operations (with a Touch of Algebra) (Grades 6 - 7)

Contents and Introduction See sample
Warmup: Mental Math
Review of the Four Operations
Mental Math Review
Addition and Subtraction Review
Multiplication and Division See sample
Terminologies for the Four Operations
Expressions
Equations See sample
Balance Problems and Equations
More Equations
Powers and Exponents
Order of Operations and Equations See sample
The Order of Operations
Multiplying in Parts and
the Multiplication Algorithm
A Three-Digit Multiplier, Plus Zeroes See sample
Multiplication and Area
Multiplying and Dividing in Parts
Long Division
Long Division Practice Puzzle
A Two-Digit Divisor
Long Division and Remainder
Word Problems
Coordinate Grid 1
Introduction to Functions See sample
Coordinate Grid 2
Functions Again
Using Two Variables - Functions
Review

## Percent (Grades 6 - 7)

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

## Integers (Grades 6 - 7)

Contents and Introduction Integers See sample
Addition and Subtraction as Movements
Adding Integers 1: Counters See sample
Adding Integers 2
Subtracting a Negative Integer
Add and Subtract Roundup
Coordinate Grid
Multiplying Integers
Dividing Integers See sample
Multiply and Divide Roundup
Movements in the Coordinate Grid
Coordinate Grid Practice See sample
Functions Again
Graphing Linear Functions
Review 1
Review 2

## Statistics & Probability (Grades 6 - 7)

Contents and Introduction Statistics & Probability See sample
Graphs
Bar Graphs
Making Bar Graphs See sample
Making Histograms 1
Making Histograms 2
Double Bar Graphs
Line Graphs 1
Line Graphs 2
Reading Line Graphs See sample
Double and Triple Line Graphs
Average
Average (Mean)
Mean, Mode and Bar Graphs See sample
Mean, Median and Mode
Using Mean, Median and Mode See sample
Review
Circle Graphs
Data Analysis
Stem-and-Leaf Plots
Range
Statistics Project (optional)
Simple Probability
Probability Problems from Statistics
Counting the Possibilities
Compound Probability See sample
More Practice with Probability
Review 2

Please read the complete descriptions of the books at
www.mathmammoth.com/blue-series.php