Math 6A, Lesson 13, Spring 2018, 5/20/2018

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1. Discount

  • Discount = Marked price – Selling price
  • Percentage discount = ( Discount / Marked_price) x 100%
  • Selling price = (100% – Discount %) x Marked_price

2. Sales Tax and Income Tax

  • Tax = Tax_rate x Cost
  • Income_tax = Tax_rate x Income
  • Income: wage (hourly-paid), salary (annual basis)

3. Compound Discount

  • Each successive discount is based on the price after the previous discount

4. Points, Line and Planes

  • Point: has position; has no size
  • Line: has an infinite number of points; has no width; can be determined by two points; can be straight or curved
  • Ray: a part of a line with one endpoint
  • Endpoint
  • Line segment: a part of a line between two end points; has length
  • Plane: a flat surface; has no thickness
  • Parallel lines: two lines on the same plane do not intersect (meet or cut)
  • Perpendicular (lines) to each other: two lines intersect at right angle
  • Foot of the perpendicular

5. Types of angles

  • Acute angle: angle < 90 degree
  • Right angle: angle = 90 degree
  • Obtuse angle: 90 degree < angle < 180 degree
  • Reflex angle: 180 degree < angle < 360 degree

6. Complementary, supplementary, and adjacent angles

  • Complementary angles: the sum of two angles is 90 degree
  • Supplementary angles: the sum of two angels is 180 degree
  • Adjacent angles: two angles share a common side and a common vertex but do not overlap

7. Properties of Angles

  • The sum of adjacent angles on a straight line is 180 degree
  • The sum of all angles at a point is 360 degree
  • Vertically opposite angles: when two lines intersect, the vertically opposite angles are equal

8. Home Work:

  • Handout:
    • Three pages
  • Workbook:
    • Page 45: 1, 2, 3
    • Page 46: 4, 5

Math 6A, Lesson 12, Spring 2018, 5/13/2018

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1. Reverse Percentage

  • In a box, 15% of the balls are green. If there are 54 green balls, find the number of balls in the box.
  • In the library, the fine for not returning a book on loan is 125% of the price of the book. If the fine for a book that was not returned was $90, find the price of the book.

2. Percentage increase

  • Increase = Increased_value – Original_value
  • Percentage increase = ( Increase/ Original_value) x 100%
  • Increased_value = (100% + Increase %) x Original_value

3. Percentage decrease

  • Decrease = Original_value – Decreased_value
  • Percentage decrease = (Decrease / Original_value) x 100%
  • Decreased_value = (100% – Decrease %) x Original_value

4. Home Work:

  • Handout:
    • Three pages
  • Workbook:
    • Page 40: 8, 9, 10, 11

 

Math 6A, Lesson 11, Spring 2018, 5/6/2018

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1. Percentage: a percentage is a fraction with 100 as the denominator

  • Meaning of percentage: “per cent” means “by the hundred” or divided by one hundred. The term “percentage” is derived from the Latin per centum, meaning “per hundred”.

38% = 38/100 = 0.38

100% = 100/100 = 1

0% = 0/100 = 0

  • Decimals, percentages and fractions and how to express a number in each form
  • Express one quantity as a percentage of another
  • Compare quantities using percentage
  • Word problems involving percentage

2. Home Work:

  • Handout:
    • Two pages
  • Workbook:
    • Page 39: 1, 2, 3, 4, 5
    • Page 40: 6, 7

 

Math 6A, Lesson 10, Spring 2018, 4/29/2018

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Exam on ratio, rate, average rate, speed, uniform/constant speed and average speed, and Conversion of units.