# Samples for the Math Mammoth
Blue Series, Grades 4-7

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 (Grades 6 - 7)

Geometry 3 (Grades 5 - 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)

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)

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
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

## 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
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

## Geometry 2 (Grades 6 - 7)

Contents and Introduction See sample
Quadrilaterals Review
Drawing Problems
Area of Right Triangles
Area of Parallelograms
Area of Triangles
Area of Polygons See sample
Polygons in the Coordinate Grid
Area and Perimeter Problems 1 See sample
Review: Area of Polygons 1
Review: Area of Polygons 2
Circumference of a Circle
Area of a Circle
Proving the Formula for the Area of a Circle
Area and Perimeter Problems 2
Slicing Three-Dimensional Shapes
Nets and Surface Area 1
Nets and Surface Area 2
Surface Area See sample
Volume of a Rectangular Prism with Sides of Fractional Length
Converting Between Units of Volume See sample
Volume Problems
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Geometry Review

## Geometry 3 (Grades 5 - 7)

Contents and Introduction See sample
Angle Relationships
Classify Triangles
Angles in a Triangle
Angles in Polygons
Congruent Figures
Similar Figures
Similar Figures and Scale Ratio See sample
Congruent Transformations
Transformations in the Coordinate Grid See sample
Basic Geometric Constructions See sample
More Constructions
Bisecting Lines and Angles
Drawing Problems
Geometry Review
Square Roots
Equations That Involve Taking a Square Root
The Pythagorean Theorem
The Pythagorean Theorem: Applications See sample
Proof of the Pythagorean Theorem
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 See sample
Fraction Terminology
Review: Fractions and Mixed Numbers
Subtracting Mixed Numbers
Adding Unlike Fractions
Review: Simplifying Fractions
Add and Subtract Fractions: More Practice
Multiplying Fractions
Simplifying Before Multiplying
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
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

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

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

## 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 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

## Data and Graphs (Grades 2 - 5)

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

## Statistics & Probability (Grades 6 - 7)

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

## Expressions & Equations (Grades 6 - 7)

Contents and Introduction See sample
Terminology for the Four Operations
The Order of Operations 1
The Order of Operations 2
Expressions See sample
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
More Equations See sample
Inequalities
Growing Patterns
Using Two Variables
Review 1
Review 2

## Rational Numbers (Grades 7 - 8)

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

## Linear Equations (Grades 7 - 8)

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