*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 - WIND, WEATHER AND WATER

- Overview, Unit 1
- Lesson 1: Getting Started: Counting Numbers; Ordinal Numbers; Place Value
- Lesson 2: Addition; Subtraction, Making Change
- Practice
- Lesson 3: Multiplication; Division; Process Order
- Lesson 4: Fractions; Symbols; Equivalent Fractions; Adding / Subtracting Fractions
- Weekly Checkup 1
- Lesson 5: Time Measures; Working With Dates
- Lesson 6: Working With Addition and Subtraction; Rounding and Estimating
- Practice
- Lesson 7: Uses of Division; Finding Average
- Lesson 8: Mixed Numbers; Divisibility Rules
- Weekly Checkup 2
- Lesson 9: Linear Measures; Reference Measures; Changing Measures;
- Lesson 10: Larger Multipliers
- Practice
- Lesson 11: Division as a Fraction; Remainders as Fractions; Analyzing the Remainder
- Lesson 12: Proper and Improper Fractions
- Weekly Checkup 3
- Lesson 13: Larger Divisors; Estimating Quotients; Missing Factors, Dividends and Divisors
- Lesson 14: Drawing Sketches; Process order
- Practice
- Lesson 15: Factoring; Prime and Composite Numbers
- Lesson 16: Multiples of a Number; Working With Unlike Fractions
- Weekly Checkup 4
- Lesson 17: Geometry; Geometric Figures
- Lesson 18: Decimals to Thousandths; Comparing Unlike Decimals; Mixed Decimals; Adding and Subtracting Decimals
- Practice
- Lesson 19: Positive / Negative Numbers; Adding Signed Numbers; Thermometers
- Lesson 20: Borrowing in Fractions; Decimal Equivalents
- Weekly Checkup 5
- Lesson 21: Equations; Using Fractions to Compare
- Lesson 22: Smaller Decimals; Multiplying Decimals; Rounding Decimals
**Unit Review 1**
**Unit Test 1**

#### UNIT TWO - IN THE BAKERY

- Overview, Unit 2
- Lesson 1: Liquid and Dry Measures; Metric Prefixes; Weight Measures; Subtracting and Dividing Measures
- Lesson 2: Fraction Multiplicands; Cancellation;
*Ordering Supplies*
- Practice
- Lesson 3: Fraction Multipliers; Multiplying with Mixed Numbers; Multiplying with Fractions Vertically
- Lesson 4: Roman Numerals; More Equations
- Weekly Checkup 7
- Lesson 5: Fraction Dividends;
*Recipe: Raisin Oatmeal Cookies*
- Lesson 6: Fraction Divisors; Inverting the Divisor
- Practice
- Lesson 7: Comparing Fractions by Division
- Lesson 8: Profit and Loss
- Weekly Checkup 8
- Lesson 9: Ratios; Ratio Factors;
*Recipe: Cinnamon Rolls*
- Lesson 10: Three Types (Type I, II, III) of Fraction Problems
- Practice
- Lesson 11: Sequence Patterns; Exponents
- Lesson 12: Parts of the Selling Price
- Weekly Checkup 9
- Lesson 13: Decimal Dividends; Multiplying / Dividing Decimals by 10, 100, etc.
- Lesson 14: Changing Fractions to Decimals; Repeating Decimals; Equivalents
- Practice
- Lesson 15: Decimal Divisors;
*Polly's Mistake*; *Recipe: Chocolate Crinkle Cookies*
- Lesson 16: Unit Price; Changing Uneven Decimals to Fractions; Equivalents
- Weekly Checkup 10
- Lesson 17: Graphs and Tally Marks
- Lesson 18: Three Types (Type I, II, III) of Decimal Problems
- Practice
- Lesson 19: Adding Signed Numbers
- Lesson 20: Record Keeping
- Weekly Checkup 11
- Lesson 21: Angles; Drawing and Measuring Angles
- Lesson 22; Multiplication / Division 15 Family;
*Cherry Week*; *Recipe: Cherry Bars*
**Unit Review 2**
**Test 2**

#### UNIT THREE - THE NEW HOUSE

- Overview, Unit 3
- Lesson 1: Percents; Percent Equivalents
- Lesson 2: Scale Drawing;
*Excavations*
- Practice
- Lesson 3: Less Than 1%; More Percent Equivalents; More Than 100%
- Lesson 4: Perimeter
- Weekly Checkup 13
- Lesson 5: Type I Percent Problems
- Lesson 6: Type II Percent Problems
- Practice
- Lesson 7: Type III Percent Problems
- Lesson 8: Finding Areas
- Weekly Checkup 14
- Lesson 9: Multiplication and Division 16 Family;
*The Frolic*
- Lesson 10: Balancing Equations
- Practice
- Lesson 11: Estimating With Percents; More Percent Equivalents;
*Rafters*
- Lesson 12: Working With Triangles; Types of Triangles; More Areas
- Weekly Checkup 15
- Lesson 13: Increase; Decrease
- Lesson 14: Discount;
*Roofing*
- Practice
- Lesson 15: Circles; Diameter; Radius; Circumference of a Circle
- Lesson 16: Rate of Increase and Decrease; Rate of Discount
- Weekly Checkup 16
- Lesson 17: Geometric Solids
- Lesson 18: Interest
- Practice
- Lesson 19: Lateral Surface Area
- Lesson 20: More Interest
- Weekly Checkup 17
- Lesson 21: Volume; Volume of a Rectangular Prism
- Lesson 22: Drawing With a Compass and Protractor
**Unit Review 3**
**Test 3**

#### UNIT FOUR - TO MARKET

- Overview, Unit 4
- Lesson 1: Mental Addition
- Lesson 2: Assets and Liabilities; Retail and Wholesale
- Practice
- Lesson 3: Commission;
*Selling Produce*
- Lesson 4: Circle Graphs
- Weekly Checkup 19
- Lesson 5: Mental Subtraction;
*Oink, Oink*
- Lesson 6: Rate of Interest; Rate of Commission
- Practice
- Lesson 7: Recording Income
- Lesson 8: Area of a Circle
- Weekly Checkup 20
- Lesson 9: Mental Multiplication;
*Shipping Milk*
- Lesson 10: Finding the Base
- Practice
- Lesson 11: Acres, Hectares
- Lesson 12: Lateral Surface of a Cylinder
- Weekly Checkup 21
- Lesson 13: Mental Division
- Lesson 14: Board Feet; Cord of Firewood
- Practice
- Lesson 15: When the Rate Is Over 100%
- Lesson 16: Lateral Surface Area of a Cone;
*Making a Bluebird House*
- Weekly Checkup 22
- Lesson 17: Taxes
- Lesson 18: Percent of Profit or Loss
- Practice
- Lesson 19: Subtracting Signed Numbers
- Lesson 20: Total Surface Area
- Weekly Checkup 23
- Lesson 21: Finding the Original Amount
- Lesson 22: Making Payments
**Unit Review 4**
**Test 4**

#### UNIT FIVE - ACCOUNTS AND RECORDS

- Overview, Unit 5
- Lesson 1: Checking Account
- Lesson 2: Volume of a Cube; Capacity Measures
- Practice
- Lesson 3: Checkbook Register
- Lesson 4: Bisecting Angles; Copying Angles
- Weekly Checkup 25
- Lesson 5: Monthly Statements
- Lesson 6: Volume of a Triangular Prism and Trapezoidal Prism
- Practice
- Lesson 7: Savings Account;
*The New Buggy*
- Lesson 8: Copying a Triangle; Constructing Parallel Lines
- Weekly Checkup 26
- Lesson 9: Property Tax; Income Tax
- Lesson 10: Volume of a Cylinder
- Practice
- Lesson 11: Proportions;
*Windmills*
- Lesson 12: Using Proportions
- Weekly Checkup 27
- Lesson 13: Successive Discounts
- Lesson 14: Volume of a Pyramid; Volume of a Cone
- Practice
- Lesson 15: Mortgage Loans; Land Contract
- Lesson 16: Promissory Notes;
*Get Rich Quick*
- Weekly Checkup 28
- Lesson 17: Finding the Principal
- Lesson 18: Volume of a Sphere and Hemisphere
- Practice
- Lesson 19: Multiplying Signed Numbers;
*Ordering Berry Plants*
- Lesson 20: Using More Proportions
- Weekly Checkup 29
- Lesson 21: Compound Interest
- Lesson 22: Constructing Perpendicular Lines
**Unit Review 5**
**Test 5**

#### UNIT SIX - EUROPE

- Overview, Unit 6
- Lesson 1: Solving Equations;
*Europe*
- Lesson 2: Latitude and Longitude
- Practice
- Lesson 3: Rewriting Equations
- Lesson 4: Square Root; Extracting the Square Root
- Weekly Checkup 31
- Lesson 5: Coordinates
- Lesson 6: Dividing Signed Numbers
- Practice
- Lesson 7: Simplifying Equations;
*The Birth of Anabaptism*
- Lesson 8: Hypotenuse
- Weekly Checkup 32
- Lesson 9: Mean, Medium and Mode
- Lesson 10: Degrees and Direction
- Practice
- Lesson 11: Time Zones
- Lesson 12: Land Descriptions;
*Italy*
- Weekly Checkup 33
- Lesson 13: Measure of Speed;
*Switzerland*; *Recipe: Chocolate Bon Bons*
- Lesson 14: Inverse Proportions;
*Deutschland*; *Recipe: German Noodle Casserole*
- Lesson 15: Metric-English Conversions; Mega and Micro
- Lesson 16: International Date Line
- Weekly Checkup 34
- Lesson 17: Whole Number, Decimal, Fraction Review
- Lesson 18: Percent and Proportion Review
- Lesson 19: Measurement and Geometry Review
**Unit Review 6**
**Test 6**

- Important Dates in the Development of the Metric System
- Addition and Subtraction Drill Page
- Multiplication Drill Page
- Division Drill Page
- Equivalent Drill Page
- Formula Drill Page
- Glossary
- Index
- Acknowledgments