Task 1. Describe the Processes for Adding, Subtracting, Multiplying, and Dividing Fractions.

Figure 1. Place Value of Whole Numbers

Subtraction.

Multiplication.

Common Fractions

Figure 2. Fractional Parts of A Unit

Improper Fraction.

Figure 4. 1/4 Is Larger Than 1/6.

Reducing Fractions

Changing to a Given Denominator.

Changing an Improper Fraction to a Whole or Mixed Number.

Reducing a Fraction to its Lowest Terms.

Finding the Least Common Denominator of A Group of Fractions Having Different Denominators.

Addition

Subtraction - od164070023

Subtracting Mixed Numbers.

Multiplication

Shop Work Problems.

Division - od164070027

Complex Fractions

Conclusion - od164070029

Task 2. Describe the Processes for Converting Fractions to Decimals and Decimals to Fractions

Definition of Terms

Reduction of a Common Fraction to a Decimal Fraction

Reduction of a Decimal Fraction to a Common Fraction

Table 1. Decimal Equivalent of Some Common Fractions.

Subtraction - od164070035

Division - od164070036

Accuracy

Conclusion - od164070038

Practical Exercise 1. - od164070039

Practical Exercise 1. - Continued

Lesson 1. Practical Exercise -Answers

Task 1. Describe the Process for Converting Linear Measurements from the English to the Metric System

Table 2. English System Linear Measurements

Table 4. Linear Measurements Equivalent Values.

Table 5. Decimal And Metric Equivalents of Fractions of an Inch.

Converting From the English System to the Metric System.

Converting From the English System to the Metric System. - Continued - od164070047

Converting From the English System to the Metric System. - Continued - od164070048

Task 2. Describe the Processes for Solving Problems Using Ratio and Proportion.

Ratio and Proportion

Proportion

Inverse Proportion.

Pulley Trains and Gear Trains

Figure 8. Pulleys

Figure 9. Pulley Train

Worm and Worm Gearing

Task 3. Describe the Processes for solving Problems Using Trigonometry.

Trigonometric Functions

Figure 12. Sides in Referernce to Angle "A."

Trigonometric Functions - Continued

Figure 13. Value of An Angle in Terms Of the Sides

Procedure for using these Rules.

Figure 14. Find the Side Opposite Angle "A."

Calculations with Angles

Calculations with Angles - Continued

Trigonometric Tables

Table 6. Trigonomertic Tables

Table 7. Trigonometric Tables Cont.

Use of Tables.

Interpolation

Interpolation

Angle Corresponding to a Given Function

Summary - od164070073

Table 8. Trigonometric Table.

Solution of Right Triangles

Figure 18. Find Angle "B" And Sides "A" And "B"

Figure 19. Find Angle B And Sides "B" And "C."

Figure 20. Find Angle B and Sides "A" And "C"

Figure 21. Find Angles A and B, and Side "B"

Special Right Triangles

Figure 23. Functions of A 45,, Angle.

Derivation of the 30,, - 60,, Triangle Relationship.

Figure 24. Relationships Between 30, and 60 ,,Angles.

Table 11. Trigonometric Tables

Practical Applications

General Procedure for Solving Problems in Trigonometry

Figure 25. Layout Of Plug Inserted in Opening

Figure 26. Find The Dimension Of "X."

Law of Sines

Law of Sines - Continued

Figure 27. Solve Using The Laws of Sine , Cosine And Tangent.

The Terms In Equations Presented In A Above Can be Rearranged In the Form

The Terms In Equations Presented In A Above Can be Rearranged In the Form - Continued

Law of Cosines

Law of Cosines - Continued - od164070095

Law of Cosines - Continued - od164070096

Law of Cosines - Continued - od164070097

Law of Tangents

Area of Triangles

Conclusion - od164070100

Conclusion - Continued - od164070101

Practical Exercise 2 - od164070102

Requirement - od164070103

Figure 29. Gear Train

Figure 30. Find The Distance "X"

Table 12. Trigonometric Tables.

Lesson 2. Practical Exercise- Answers - od164070107

Lesson 2. Practical Exercise- Answers cont. - od164070108

References - od164070109

References - od164070110

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