Math 6A, Lesson 13, Spring 2017, 5/21/2017

1. Quickly go through the quiz about percentages

2. Perpendicular Bisectors and Angle Bisectors

• Use of compass: center, radius, pin leg, and drawing leg
• To draw a circle
• To mark off or copy a line segment
• How to draw a perpendicular bisector of a line segment?
• Any point on the perpendicular bisector of a line segment is equidistant from the two end points of the segment.

3. Angle Bisectors

• A ray AZ divides <BAC into two equal angles, <BAZ and <CAZ. The ray is called the angle bisector of <ABC
• How to draw an angle bisector?
• Any point on the angle bisector of an angle is equidistant from the two sides of the angle.

4. Class work

• Construct/draw circles, triangles, angles, equal line segments
• construct /draw perpendicular bisectors of line segments
• construct/draw angle bisectors of angles

5. Home Work:

• Page 45, 46, and 47: 1, 2, 3, 4, 5, 6, 7, 8, 9
• Page 48, 49, 50, 51: 12, 13, 14, 15, 16, 17, 18, 19

Math 6A, Lesson 12, Spring 2017, 5/14/2017

1. Quiz on percentages

2. 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

3. 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

4. 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

5. 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

6. Home Work:

• Handout two pages
• Happy Mother’s Day! Do something special with your mother 🙂

Math 6A, Lesson 11, Spring 2017, 5/7/2017

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. Home Work:

• Handout two pages
• Page 42: 18, 19, 20, 21, 22, 23