This hardcover textbook has 170 lessons that review and extends skills taught in the previous levels. Review in each lesson keeps previous skills current. Bible applications enhance reading problems and illustrations. New concepts include the following areas.

*Decimals*—Nonterminating.

*Percents*—Profit and loss, compound interest.

*Measures*—Bible measure, Celsius-Fahrenheit conversion.

*Graphs*—Histogram.

*Geometry*—Plane geometry: types of angles and triangles, trapezoids, constructing designs. Solid geometry: surface area and volume.

*Algebra*—Algebraic expressions, order of operations, exponents, square roots, signed numbers.

Quizzes and speed tests are provided in a separate booklet with tear-out sheets.

Chapter tests are also in a separate booklet.

The teacher's manual comes in two volumes. Each lesson has full-size pupil's pages, with answers filled in. Extra pages guided the teacher in lesson preparation and include answer keys for quizzes, speed tests, and chapter tests.

### Contents of the Teacher's Manuals

- Materials for This Course

#### To The Teacher

- Basic Philosophy
- Plan of the Course
- Pupil's Book
- Teacher's Manual
- General Class Procedure
- Quizzes and Speed Tests
- Chapter Tests

#### Chapter 1: Adding and Subtracting Numbers

- 1. Large Numbers in Everyday Life
- 2. Studying Place Value
- 3. Rounding Numbers
- 4. Using Roman Numerals
- 5. Reviewing Addition
- 6. Adding Mentally
- 7. Reviewing Subtraction
- 8. Subtracting Mentally
- 9. Reading Problems: Finding the Necessary Information
- 10. Chapter 1 Review
- 11. Chapter 1 Test (in test booklet)

#### Chapter 2: Working with Multiplication and Division

- 12. Solving Multiplication Problems
- 13. Checking Multiplication by Casting Out Nines
- 14. Estimating and Multiplying Mentally
- 15. More Mental Multiplication
- 16. Solving Division Problems
- 17. Working with Short and Long Division
- 18. More Challenging Long Division
- 19. Finding Averages
- 20. Solving Division Problems Mentally
- 21. Working With Graphs: The Picture Graph
- 22. Reading Problems: Choosing the Correct Operation
- 23. Chapter 2 Review
- 24. Chapter 2 Test (in test booklet)

#### Chapter 3: Using English Measures

- 25. Units of Linear Measure
- 26. Units of Weight
- 27. Units of Capacity
- 28. Units of Area
- 29. Units of Time
- 30. Time Zones
- 31. Mental Conversion of English Units
- 32. Distance, Rate, and Time
- 33. Distance, Rate, and Time in Reading Problems
- 34. Working with Graphs: The Line Graph
- 35. Chapter 3 Review
- 36. Chapter 3 Test (in test booklet)

#### Chapter 4: Working With Fractions

- 37. Finding Prime Factors
- 38. Finding Greatest Common Factors
- 39. Finding Lowest Common Multiples
- 40. Introduction to Common Fractions
- 41. Simplifying and Comparing Fractions
- 42. Adding Common Fractions
- 43. Subtracting Common Fractions
- 44. Mental Multiplication of Whole Numbers and Fractions
- 45. Multiplication Problems With Fractions
- 46. Multiplication With More Challenging Fractions
- 47. Using Reciprocals to Divide by Fractions
- 48. More Practice With Dividing Fractions
- 49. Finding a Number When a Fraction of It Is Known
- 50. Reading Problems: Problems With Extra Information
- 51. Working with Graphs: The Bar Graph
- 52. Chapter 4 Review
- 53. Chapter 4 Test (in test booklet)

#### Chapter 5: Decimal Fractions

- 54. Introduction to Decimals
- 55. Comparing and Rounding Decimals
- 56. Fractions and Terminating Decimals
- 57. Fractions and Nonterminating Decimals
- 58. Adding and Subtracting Decimals
- 59. Multiplying and Dividing Decimals by Powers of Ten
- 60. Multiplying Decimals
- 61. Multiplying Mentally by Changing Decimals to Fractions
- 62. Dividing Decimals by Whole Numbers
- 63. Dividing by Decimals
- 64. Reading Problems: Choosing the Reasonable Decimal Answer
- 65. Chapter 5 Review
- 66. Chapter 5 Test (in test booklet)

#### Chapter 6: Working with Ratios, Proportions, and Percents

- 67. Writing Ratios
- 68. Writing and Using Proportions
- 69. Reading Problems: Using Proportions
- 70. Problems With More Challenging Proportions
- 71. Introduction to Percents
- 72. Fractions, Decimals, and Percents
- 73. Finding a Percentage of a Number
- 74. Finding a Percent More or Less Than a Number
- 75. Using the Scale of Miles on a Map
- 76. Using the Scale on a Blueprint
- 77. Reading Problems: Estimating a Logical Solution
- 78. Chapter 6 Review
- 79. Semester Review I: Chapters 1 and 2
- 80. Semester Review II: Chapters 3 and 4
- 81. Semester Review III: Chapters 5 and 6
- 82. Semester Test (in test booklet)

- Quizzes and Speed Tests
- Chapter Tests 1 - 6
- Index
- Symbols
- Formulas
- Tables of Measure

#### Chapter 7: More Work with Percents

- 83. Percents Over 100%: Adding and Subtracting Percents
- 84. Another Way to Find a Percent More or Less
- 85. Working With Fractions of Percents
- 86. Finding What Percent One Number Is of Another
- 87. Finding a Number When a Percent of It Is Known
- 88. Understanding the Percent Formulas
- 89. Working With Commissions
- 90. Calculating the Rate of Increase or Decrease
- 91. Multiplying Mentally by Changing Percents to Fractions
- 92. Reading Problems: Solving Multi-step Problems
- 93. Working With the Histogram
- 94. Chapter 7 Review
- 95. Chapter 7 Test (in test booklet)

#### Chapter 8: Money and Banking

- 96. Calculating Profit and Loss
- 97. Profit and Loss as a Percent of Sales
- 98. Calculating Sales Tax
- 99. Calculating Interest
- 100. Finding Interest for Part of a Year
- 101. Working With Compound Interest
- 102. Calculating Unit Prices
- 103. Keeping a Multi-column Expense Record
- 104. Reading Problems: More Multi-step Problems
- 105. Chapter 8 Review
- 106. Chapter 8 Test (in test booklet)

#### Chapter 9: Geometry—Working With Lines and Planes

- 107. Introduction to Geometric Terms
- 108. Working With Angles
- 109. Working With Triangles
- 110. Using a Compass to Make Geometric Designs
- 111. Finding Perimeters
- 112. Radius, Diameter, and Circumference of a Circle
- 113. Introduction to Area
- 114. Area of a Square and a Parallelogram
- 115. Area of a Triangle
- 116. Area of a Trapezoid
- 117. Area of a Circle
- 118. Working With Graphs: The Circle Graph
- 119. Reading Problems: Using a Parallel Problem
- 120. Chapter 9 Review
- 121. Chapter 9 Test (in test booklet)

#### Chapter 10: Geometry—Working With Solid Figure

- 122. Introduction to Solid Geometry
- 123. Surface area of Rectangular Solids
- 124. Surface Area of Cylinders
- 125. Volume of Rectangular Solids
- 126. Volume of Cubes
- 127. Volume of Cylinders
- 128. Volume of Cones
- 129. Working With Graphs: Drawing Circle Graphs
- 130. Reading Problems: Drawing a Sketch
- 131. Chapter 10 Review
- 132. Chapter 10 Test (in test booklet)

#### Chapter 11: Metric and Bible Measures

- 133. Introduction to the Metric System
- 134. Metric Units of Weight
- 135. Metric Units of Capacity
- 136. Metric Units of Area
- 137. Adding and Subtracting Compound Measures
- 138. Multiplying and Dividing Compound Measures
- 139. Converting between Metric and English Measures
- 140. Changing from Celsius to Fahrenheit Temperature
- 141. Changing from Fahrenheit to Celsius Temperature
- 142. Working with Biblical Measures
- 143. Chapter 11 Review
- 144. Chapter 11 Test (in test booklet)

#### Chapter 12: Introduction to Algebra

- 145. Introduction to Algebraic Expressions
- 146. Using the Correct Order of Operations
- 147. Evaluating Expressions With Literal Numbers
- 148. Solving Equations by Addition and Subtraction
- 149. Solving Equations by Multiplication and Division
- 150. Reading Problems: Choosing the Correct Equations
- 151. Reading Problems: Writing Equations
- 152. Working With Exponents
- 153. Working With Square Roots
- 154. Making a Table Based on a Formula
- 155. Making a Graph Based on a Formula
- 156. Introduction to Signed Numbers
- 157. Adding Signed Numbers
- 158. Subtracting Signed Numbers
- 159. Multiplying and Dividing Signed Numbers
- 160. Chapter 12 Review
- 161. Chapter 12 Test (in test booklet)

#### Chapter 13: Year-End Reviews

- 162. Review of Chapters 1 and 2: Numeration and Basic Mathematical Operations
- 163. Review of Chapters 3 and 11: English and Metric Measure
- 164. Review of Chapter 4: Fractions
- 165. Review of Chapters 5 and 6: Decimals, Ratios, and Proportions
- 166. Review of Chapters 6-8: Percents, Money, and Banking
- 167. Review of Chapters 9 and 10. Geometry
- 168. Review of Chapter 12: Algebra
- 169. Final Review
- 170. Final Test (in test booklet)

- Quizzes and Speed Tests 84 - 169
- ...
- 102. Quiz: Finding Simple Interest
- ...

- Chapter Tests 7 - 13
- Index
- Symbols
- Formulas
- Tables of Measure