129 lessons; 6 units

Note: as in the lower grades, the teacher's manual mentions various suggested flash cards for use throughout this course. However, due to little interest, the planned card set for this grade has never been published.

Contents

• To the Student
• Contents
• Teaching With a Purpose and a Plan
• Becoming Acquainted with Your Book

UNIT ONE - STARS AND SUCH

• Overview, Unit 1
• Lesson 1: Getting Started: Even and Odds Numbers; Counting; Ordinal Numbers; Place Value to Hundred Trillions
• Lesson 2: Addition; Carrying in Addition
• Practice
• Lesson 3: Subtraction; Working With Money; Counting by 25, 50, 100
• Lesson 4: Fractions; Like and Unlike Fractions; Symbols
• Weekly Checkup 1
• Lesson 5: Time Measures; Working with Dates
• Lesson 6: Working with Addition and Subtraction
• Practice
• Lesson 7: Missing Numbers: Addend, Minuend, Subtrahend; Rounding and Estimating
• Lesson 8: Mixed Numbers; Rounding Mixed Numbers; Adding and Subtracting Like Fractions
• Weekly Checkup 2
• Lesson 9: Linear Measures; Reference Measures
• Lesson 10: Multiplication; Multiplication Mill
• Practice
• Lesson 11: Multiplying Larger Numbers; Mixed Computation with Multiplication
• Lesson 12: Multiplying by Tens, Hundreds, Thousands
• Weekly Checkup 3
• Lesson 13: Division; Division Mill
• Lesson 14: Uses of Division; Mixed Computation with Division; The Moon
• Practice
• Lesson 15: Equivalent Fractions; Reducing Fractions; Divisibility Rules
• Lesson 16: Long Division; Finding the Average
• Weekly Checkup 4
• Lesson 17: Geometry; Geometric Shapes
• Lesson 18: Two-place Multipliers; Division Story Problems
• Practice
• Lesson 19: Positive and Negative Numbers
• Lesson 20: Decimals to Tenths; Mixed Decimals; Adding and Subtracting Decimals
• Weekly Checkup 5
• Lesson 21: Thermometers; Fahrenheit, Celsius; Negative Temperatures
• Lesson 22: Hundredths; Comparing Decimals
• Unit Review 1
• Test 1

UNIT TWO - IN THE HOUSE

• Overview, Unit 2
• Lesson 1: Liquid and Dry Measures; Changing Measures
• Lesson 2: Factoring
• Practice
• Lesson 3: Division as a Fraction; Remainder as a Fraction; Analyzing the Remainder
• Lesson 4: Proper and Improper Fractions, Sums Containing Improper Fractions
• Weekly Checkup 7
• Lesson 5: Multiples of a Number; Decimal Equivalents
• Lesson 6: Larger Multipliers; Estimating a Product; Zeros in the Multiplier
• Practice
• Lesson 7: Common Denominators; Working With Unlike Fractions
• Lesson 8: Two-place Divisors; Wrong Quotient Figure
• Weekly Checkup 8
• Lesson 9: Thousandths; Multiplying With Decimals
• Lesson 10: Borrowing in Fractions; Making a Quilt
• Practice
• Lesson 11: Finding the Missing Factor, Dividend, Divisor; Sequence Patterns
• Lesson 12: Process Order; Equations
• Weekly Checkup 9
• Lesson 13: Smaller Decimals; Two Decimal Factors
• Lesson 14: Weight Measures; Adding and Multiplying Measures
• Practice
• Lesson 15: Fraction Multiplicands; Recipe: Waffles; Twice as Nice
• Lesson 16: Subtracting Measures; Dividing Measures
• Weekly Checkup 10
• Lesson 17: More Smaller Decimals; Rounding Decimals
• Lesson 18: Fraction Multipliers; Recipe: Chewy Blond Brownies
• Practice
• Lesson 19: Adding Negative Numbers; Threshers' Dinner
• Lesson 20: Three-place Divisors; Four-place and Larger Divisors;
• Weekly Checkup 11
• Lesson 21: Using Fractions to Compare
• Lesson 22: Mixed Number Multipliers
• Unit Review 2
• Test 2

UNIT THREE - THE BLACKSMITH SHOP

• Overview, Unit 3
• Lesson 1: Fraction Dividends
• Lesson 2: Roman Numerals; Exponents
• Practice
• Lesson 3: Decimals in the Dividend; Measuring Ladders
• Lesson 4: Perimeter
• Weekly Checkup 13
• Lesson 5: Fraction Divisors
• Lesson 6: Scale Drawings
• Practice
• Lesson 7: Remainder as a Decimal; Making Gates
• Lesson 8: Square Measures
• Weekly Checkup 14
• Lesson 9: Fraction Dividend by a Fraction; Learning the Trade
• Lesson 10: More Equations
• Practice
• Lesson 11: Changing Fractions to Decimals; Prime and Composite Numbers
• Lesson 12: Finding Areas
• Weekly Checkup 15
• Lesson 13: Inverting the Divisor
• Lesson 14: Multiplying and Dividing Decimals by 10, 100, 1000, etc.
• Practice
• Lesson 15: Graphs; Tally Marks
• Lesson 16: Three Types of Fraction Problems
• Weekly Checkup 16
• Lesson 17: Comparing Fractions by Division
• Lesson 18: Repeating Decimals
• Practice
• Lesson 19: Metric Prefixes
• Lesson 20: Decimal Divisors
• Weekly Checkup 17
• Lesson 21: Ratios
• Lesson 22: Ratio Factors
• Unit Review 3
• Test 3

UNIT FOUR - ON THE FARM

• Overview, Unit 4
• Lesson 1: Percents; Meaning of 100%
• Lesson 2: Proportions; Cross Multiplication; Drawing a Sketch
• Practice
• Lesson 3: Type I Decimal Problems
• Lesson 4: More About Angles; Tomato Patch Problems
• Weekly Checkup 19
• Lesson 5: Using Pecents
• Lesson 6: Type II Decimal Problems
• Practice
• Lesson 7: Changing Uneven Decimals to Fractions; Cider Time
• Lesson 8: Circles
• Weekly Checkup 20
• Lesson 9: Less Than 1%
• Lesson 10: Type III Decimal Problems; In the Orchard
• Practice
• Lesson 11: Acres, Hectares; Sowing and Reaping
• Lesson 12: Circumference as a Circle
• Weekly Checkup 21
• Lesson 13: Percent Equivalents; Shipping Milk
• Lesson 14: Multiplication and Division 15 Family
• Practice
• Lesson 15: Type I Percent Problems
• Lesson 16: Area of a Circle
• Weekly Checkup 22
• Lesson 17: More Than 100%
• Lesson 18: Type II Percent Problems
• Practice
• Lesson 19: Adding More Signed Numbers; The Farm Pond
• Lesson 20: Drawing and Measuring Angles
• Weekly Checkup 23
• Lesson 21: Type III Percent Problems; Maple Syrup Records
• Lesson 22: Circle Graphs
• Unit Review 4
• Test 4

UNIT FIVE - OF DAYS GONE BY

• Overview, Unit 5
• Lesson 1: Rounding Percents
• Lesson 2: Geometric Solids
• Practice
• Lesson 3: Increase
• Lesson 4: Bisecting Angles; Anabaptist History
• Weekly Checkup 25
• Lesson 5: Decrease
• Lesson 6: More Geometric Solids; History's Tragedies
• Practice
• Lesson 7: Rate of Increase and Decrease
• Lesson 8: Angles in a Triangle
• Weekly Checkup 26
• Lesson 9: Finding the Original Number
• Lesson 10: Lateral Surface Area
• Practice
• Lesson 11: Taxes; New World Immigrants
• Lesson 12: Reflex Angles
• Weekly Checkup 27
• Lesson 13: Discount
• Lesson 14: Lateral Surface of a Cylinder; The United States Is Born
• Practice; Recipe: Pilgrim's Honey Apples
• Lesson 15: Finding the Rate of Discount
• Lesson 16: Making a Circle Graph; Go West, Young Man
• Weekly Checkup 28
• Lesson 17: Commission
• Lesson 18: Lateral Surface of a Square Pyramid; Edison, the Inventor
• Practice
• Lesson 19: Subtracting Signed Numbers; Inventions for the Farmer
• Lesson 20: Drawing with a Compass and Protractor
• Weekly Checkup 29
• Lesson 21: Interest; Recipe: Chocolate Chip Cookies
• Lesson 22: Estimating with Percents
• Unit Review 5
• Test 5

UNIT SIX - AFRICA AND AUSTRALIA

• Overview, Unit 6
• Lesson 1: Cubic Measures; Volume of a Cube
• Lesson 2: More Type I Problems
• Practice
• Lesson 3: Balancing Equations
• Lesson 4: Marketing Products
• Weekly Checkup 31
• Lesson 5: Volume of a Rectangular Prism
• Lesson 6: More Type II Problems; Egypt
• Practice
• Lesson 7: Solving Equations
• Lesson 8: Square Root; The Nile River
• Weekly Checkup 32
• Lesson 9: Volume of a Cylinder
• Lesson 10: More Type III Problems
• Practice
• Lesson 11: Latitude and Longitude
• Lesson 12: Record Keeping
• Weekly Checkup 33
• Lesson 13: Volume of a Pyramid; Southern Africa
• Lesson 14: Using Proportions
• Lesson 15: Making Payments
• Lesson 16: Working With Circles; Recipe: Sweet Potato Cookies
• Weekly Checkup 34
• Lesson 17: Time Zones; Australia
• Lesson 18: Fraction, Decimal and Percent Review
• Lesson 19: Geometry Review; Measurement Review
• Unit Review 6
• Test 6

• Addition and Subtraction Drill Page
• Multiplication Drill Page
• Division Drill Page
• Measurement Drill Page
• Equivalent Drill Page
• Index
• Acknowledgments