# Samples for the Math Mammoth
Blue Series, Grades 4-8

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 4-8. I have a separate index for Blue Series books for grades 1-3.

Follow the links to view the free sample pages and worksheets.

## BLUE SERIES (Grades 4-8)

Add Subtract 4 (Grades 3 - 4)

Place Value 4 (Grade 4)

Place Value 5 (Grade 5)

Multiplication 2 (Grade 4)

Division 2 (Grade 4)

Factors & Factoring (Grades 4-6)

Multiplication & Division 3 (Grade 5)

Measuring 2 (Grades 4 - 5)

Metric Measuring 2 (Grades 4 - 5)

Geometry 1 (Grades 4 - 5)

Geometry 2 (Grade 6)

Geometry 3 (Grade 7)

Geometry 4 (Grade 8)

Decimals 1 (Grade 4)

Introduction to Fractions (Grades 1-4)

Fractions 1 (Grade 5)

Fractions 2 (Grade 5)

Decimals 2 (Grades 5 - 6)

Fractions & Decimals 3 (Grade 6)

The Four Operations (with a Touch of Algebra) (Grades 5 - 6)

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

Percent (Grades 6 - 7)

Integers (Grades 6 - 7)

Data and Graphs (Grades 1 - 5)

Statistics and Probability (Grades 6 - 7)

Bivariate Data (Grade 8)

Expressions and Equations (Grades 6 - 7)

Rational Numbers (Grade 7)

Linear Equations 1 (Grade 7)

Linear Equations 2 (Grade 8)

Exponents & Scientific Notation (Grade 8)

Introduction to Functions (Grade 8)

Graphing Linear Equations (Grade 8)

Square Roots & The Pythagorean Theorem (Grades 7-8)

Systems of Linear Equations (Grade 8)

# SAMPLES AND LESSON LISTS

## 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
Place Value See sample
Adding and Subtracting Large Numbers
Rounding See sample
Rounding and Estimating
The Calculator 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

## Factors & Factoring (Grades 4-6)

Contents See sample
Divisibility
Divisibility and Factors See sample
More on Divisibility
Prime Numbers
Finding Factors See sample
Primes and Finding Factors
Prime Factorization
The Sieve of Eratosthenes and Prime Factorization See sample
The Greatest Common Factor (GCF)
Factoring Sums
The Least Common Multiple
Review

## Multiplication & Division 3 (Grade 5)

Contents and Introduction See sample
Warm-up: Mental Math
Order of Operations and Equations
Review: Multiplication and Division See sample
Multiplying in Parts
The Multiplication Algorithm See sample
More Multiplication
Long Division See sample
A Two-Digit Divisor 1
A Two-Digit Divisor 2
Long Division and Repeated Subtraction
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 2 (Grades 4 - 5)

Contents See sample
Metric Units for Measuring Length
Metric Units of Weight See sample
Metric Units of Volume
The Metric System, Part 1
The Metric System, Part 2 See sample
Rounding Measurements
Measuring Temperature: Celsius
Temperature Line Graphs
Time Units
The 24-Hour Clock
Elapsed Time 1 See sample
Elapsed Time 2
Elapsed Time 3
Revision

## Geometry 1 (Grades 4 - 5)

Contents See sample
Geometry Vocabulary Reference Sheet
Review: Area of Rectangles See sample
Problem Solving: Area of Rectangles
Review: Area and Perimeter
Lines, Rays, and Angles
Measuring Angles See sample
Drawing Angles
Estimating Angles
Angle Problems
Parallel and Perpendicular Lines
Parallelograms
Triangles See sample
Line Symmetry
Review: Angles
Polygons
Classifying Quadrilaterals 1
Classifying Quadrilaterals 2 See sample
Classifying Quadrilaterals 3
Classifying Triangles 1
Classifying Triangles 2
Volume See sample
Volume of Rectangular Prisms (Cuboids)
Volume Is Additive
Area and Perimeter Problems
Star Polygons
Review 1
Review 2

## Geometry 2 (Grade 6)

Contents
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

## Geometry 3 (Grade 7)

See contents and sample lessons

## Geometry 4 (Grade 8)

Contents
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

## Introduction to Fractions (Grades 1 - 4)

See contents and sample lessons

Visit web page

## Fractions 1 (Grade 5)

Contents
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 and Whole Numbers 1 See sample
Multiply Fractions and Whole Numbers 2
Multiply Fractions by Fractions 1
Multiply Fractions by Fractions 2 See sample
Fraction Multiplication and Area See sample
Simplifying Before Multiplying
Multiplying Mixed Numbers
Multiplication as Scaling/Resizing
Fractions Are Divisions
Dividing Fractions: Sharing Divisions See sample
Dividing Fractions: Fitting the Divisor
Dividing Fractions: Summary
Dividing Fractions: The Shortcut
Review

## Decimals 1 (Grades 3 - 4)

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

## Decimals 2 (Grades 5 - 6)

Contents
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
More Practice and Review
Divide Decimals by Whole Numbers 1 See sample
Divide Decimals by Whole Numbers 2
Review 1
Multiply and Divide by Powers of Ten 1
Multiply and Divide by Powers of Ten 2
Multiply and Divide by Powers of Ten 3
Multiply Decimals by Decimals 1
Multiply Decimals by Decimals 2
Multiplication as Scaling
Decimal Multiplication—More Practice
Dividing Decimals—Mental Math
More Division with Decimals
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
Problem Solving
Review 2

## Fractions & Decimals 3 (Grade 6)

Contents
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

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

Contents
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 5 - 6)

Contents
Warm-up: Mental Math
The Order of Operations See sample
Equations
Review: Addition and Subtraction
Review: Multiplication and Division See sample
Balance Problems and Equations 1
Balance Problems and Equations 2
Multiplying and Dividing in Parts
More Mental Math
Review of the Four Operations 1
Review of the Four Operations 2
Lessons in Problem Solving
The Coordinate Grid
The Coordinate Grid, Part 2
Number Patterns in the Coordinate Grid See sample
More Number Patterns in the Coordinate Grid
Review

## Percent (Grades 6 - 7)

See contents and sample lessons

## Integers (Grades 6 - 7)

Contents
Coordinate Grid
Coordinate Grid Practice See sample
Addition and Subtraction on the Number Line 1 See sample
Addition and Subtraction on the Number Line 2
More Addition of Integers
Subtraction of Integers
Adding and Subtracting Several Integers
Distance Between Numbers
Multiplying Integers 1
Multiplying Integers 2
Dividing Integers See sample
Negative Fractions
Review

## Data and Graphs (Grades 1-5)

See contents and sample lessons

Visit web page

## Statistics & Probability (Grades 6 - 7)

Contents
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
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

## Rational Numbers (Grade 7)

Contents
Rational Numbers See sample
Repeating Decimals
Fractions and Decimals
Adding Rational Numbers
Adding and Subtracting Rational Numbers
Multiply and Divide Rational Numbers 1 See sample
Multiply and Divide Rational Numbers 2
Calculations with Rational Numbers
More Practice with Calculations
Problems to Solve
Equations with Fractions See sample
Equations with Decimals
Review

## Linear Equations 1 (Grade 7)

Contents
Solving Equations
Addition and Subtraction Equations
Multiplication and Division Equations
Word Problems 1
Constant Speed
Review 1
Two-Step Equations, Part 1 See sample
Problems to Solve
More Problems to Solve
Growing Patterns
Using the Distributive Property
Two-Step Equations, Part 2
Word Problems and Equations, Part 1 See sample
Word Problems and Equations, Part 2
Equations with Fractions, Part 1 See sample
Equations with Fractions, Part 2
Word Problems and Equations, Part 3
Inequalities See sample
Word Problems and Inequalities
More on Inequalities
Review 2

## Linear Equations 2 (Grade 8)

Contents
Algebra Terms (For Reference)
Review: Integer Addition and Subtraction
Equations Review, Part 1
The Distributive Property
Equations Review, Part 2
Equations Review, Part 3 See sample
Combining Like Terms
Word Problems
A Variable on Both Sides See sample
Word Problems and More Practice
Simplifying Linear Expressions
More Practice
Age and Coin Word Problems See sample
Equations with Fractions 1
Equations with Fractions 2 See sample
Formulas, Part 1
Formulas, Part 2
More on Equations
Percent Word Problems
Miscellaneous Problems
Review

## Exponents and Scientific Notation (Grade 8)

Contents
Powers and the Order of Operations
Powers with Negative Bases
Laws of Exponents, Part 1 See sample
Zero and Negative Exponents
More on Negative Exponents
Laws of Exponents, Part 2
Laws of Exponents, Part 3
Scientific Notation: Large Numbers
Scientific Notation: Small Numbers See sample
Significant Digits
Using Scientific Notation in Calculations, Part 1 See sample
Using Scientific Notation in Calculations, Part 2
Review

## Introduction to Functions (Grade 8)

Contents
Functions
Linear Functions and the Rate of Change 1 See sample
Linear Functions and the Rate of Change 2
Linear Functions as Equations
Linear versus Nonlinear Functions See sample
Modeling Linear Relationships
Describing Functions 1
Describing Functions 2 See sample
Describing Functions 3
Comparing Functions 1
Comparing Functions 2
Review

## Graphing Linear Equations (Grade 8)

Contents
Graphing Proportional Relationships 1 See sample
Graphing Proportional Relationships 2
Comparing Proportional Relationships
Slope, Part 1
Slope, Part 2
Slope, Part 3 See sample
Slope-Intercept Equation 1
Slope-Intercept Equation 2
Write the Slope-Intercept Equation See sample
Horizontal and Vertical Lines
The Standard Form
More Practice (optional)
Parallel and Perpendicular Lines
Review

## Systems of Linear Equations (Grade 8)

Contents
Equations with Two Variables
Solving Systems of Equations by Graphing
Number of Solutions
Solving Systems of Equations by Substitution See sample
Applications, Part 1 See sample
The Addition Method, Part 1
Addition Method, Part 2
More Practice
Applications, Part 2
Speed, Time, and Distance problems See sample
Mixtures and Comparisons
Review

## Square Roots & the Pythagorean Theorem (Grade 8)

Contents
Square Roots See sample
Irrational Numbers
Cube Roots and Approximations of Irrational Numbers
Fractions to Decimals
Decimals to Fractions
Square and Cube Roots as Solutions to Equations
More Equations that Involve Roots
The Pythagorean Theorem See sample
Applications of the Pythagorean Theorem 1
A Proof of the Pythagorean Theorem and of Its Converse
Applications of the Pythagorean Theorem 2 See sample
Distance Between Points
Review

## Bivariate Data (Grade 8)

Contents
Scatter Plots
Scatter Plot Features and Patterns See sample
Fitting a Line
Equation of the Trend Line See sample
Two-Way Tables
Relative Frequencies See sample
Review

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