Shop Math

28 Hours

A preview and introductory course in basic math. Emphasis will be on real-world problems and shop applications with many examples and a high level of student participation rather than just lecture and note-taking. Subject areas to be covered are basic operations with whole numbers, common fractions and decimals; simple equations, their applications and solution methods; ratio, proportion and percentages with emphasis on problem solving uses; geometry of common shapes, areas, volumes with emphasis on the circle and triangle; angular measure and the special geometry of the triangle; use of ratios to define the trigonometry functions and the use of simple trigonometry relationships to solve every day problems. Use of the scientific calculator for solution of problems will be included.

• Basic Operations With Whole Numbers
  · Place Value and Rounding
  · Addition and Subtraction
  · Multiplication of Whole Numbers
  · Division of Whole Numbers
  · Exponents
  · Prime Factors
• Basic Operations With Fractions
  · Fractions and Mixed Numbers
  · Equivalent Fractions
  · Finding the Least Common Denominator
  · Comparing Fractions
  · Adding Fractions and Mixed Numbers
  · Subtracting Fractions and Mixed Numbers
  · Multiplying Fractions and Mixed Numbers
  · Dividing Fractions and Mixed Numbers
• Basic Operations With Decimals
  · Place Value and Decimal Equivalents
  · Significant Digits and Rounding Decimals
  · Adding and Subtracting Decimals
  · Multiplying Decimals
  · Dividing Decimals
• Equations, Formulas, and Square Roots
  · Properties of Equations
  · Solving Equations
  · Working with Formulas
  · Changing the Subject in a Formula
  · Square Root
• Ratio, Proportion, and Percent
  · Ratio
  · Solving Proportions
  · Variation
  · Meaning of Percent
  · Using Proportion with Percent Problems
  · Finding a Percent of a Number
  · Finding What Percent One Number Is of Another
  · Finding the Whole When a Percentage is Known
• Geometry
  · The Angle and Angular Measure
  · Lines and Angles
  · The Triangle
  · Quadrilaterals and Hexagons
  · The Circle
• Applied Geometry
  · Perimeter and Circumference
  · Area: Triangles and Quadrilaterals
  · Area of a Circle: Central Angles and Arc Length
  · Volume
  · Similar Figures
• Right Triangles
  · Side and Angle Relationships
  · Concept of Similar Figures and Constant Ratios
  · The Three Basic Trigonometric Functions
  · Use of the Functions to Solve Problems
  · Use of Math Tables and Calculators