Convert each fraction to a decimal number. Round each decimal number to the indicated place value then convert to a percent.

a)27/56 (tenths)

0.4821428
0.5
60%

b) 125/396 (thousandths)

0.3156565
0.316
31.6%


c) 1496/2005 (hundredths)

0.746134663
0.75
35%

Repeating decimal:

A decimal number with digit or group of digits that repeats forever.

- repeating digits are shown with a bar.

eg. 0.777777.... = 0. Bar 7






Use calculator to convert these fractions to a repeating decimal.

a) 1/3

0. bar 3


b) 5/9

0. bar 5

c) 5/6

0.8 bar 3



Terminating decimal:

- a decimal number in which the digits stop.

-examples include 0.4, 0.86, 0.125


0.75 seventy-five
hundredths

75/100 = 3/4



HOMEWORK

a) 28 out of 8 b) 421 out of 560

Change each terminating decimal to a fraction.

Simplify the expression

(2+1) 2+ 3x4 2 divided by 2

Construct an angle bisector of a 60 degrees angle.

Difference

The "Whole Numbers" that are between 7 and 13 are :
8, 9, 10, 11, and 12

The difference between 13 and 7 is 6

Half this difference is 3
6 divided by 2 = 3

The number ID is halfway between 7 and 13
7 + 3 = 10 or 13 - 3 = 10

If you still don't understand this information try and solve these questions that we did during class.

1. What are the whole numbers between 68 and 72, 108.3 and 111.6
Answer : 69, 70, and 71 Answer : 109, 110, and 111

2. What number is halfway between the given numbers? a. 70 and 170 b. 1801 and 1813 c.18.4 and 6.2.
Answers : a.120 b.1807 c.12.3

3. Is the number in the middle closer to the left number or the right number?
30/38/40 0.6/3.4/6.6 0.891/0.732/0.641 78.68/78.22/77.77
Right Left Right Right

definitions

Whole Number - a whole number is a number without a decimal ; must also not have any place value below 0, for e.g. tenths, hundredths, thousandths, etc.

Between - anything in the middle of things. for e.g. my desk is between Diana and Kathryn in math.

Difference - how many numbers it takes to get from one number to another. 7 and 13 would be 6 because it goes 7,8,9,10,11,12,then 13, 6 numbers to get from one to the other.

Halfway - a word used to describe something that is divided into 2 equal parts.

Pictures drawn on paint by me, Credits to my cousin Alvin for showing me how to do this better. Thanks Alvin.

"Area of a Triangle"

Triangle

Triangle:
A three sided figure
Have three angles

e.g.

Because triangle is half of a square, rectangle, or a parallelogram, the formula for finding the area of triangle is Base x Height divided by two.





or area= 45 meters squared




Here is some link to truelly understand how to finding the area of a triangle:

http://www.youtube.com/watch?v=xz6gBA0M9FY&feature=related

Area

Areas - the number of square units contained in a two dimensional shape


this square has an area of 4 square units









Area is the surface space a shape takes up.

Area of square or rectangle
Length x Width= area
L x W= area

eg.
area=L x W
area= 6x3
=18cm2




Parallelogram - a four sided figure with opposite sides parallel and equal



eg.










Base(b) - a side of two-dimensional closed figure(shape)








Height(h) - the perpendicular distance from the base to the opposite side.








Base(b) is 5cm and height(h) is 3cm. Plug those value into the formula

A=b x h
A=5 x 3
A=15cm2


Find the area of this parallelogram






Find the area of this parallelogram

A=b x h
A=12 x 4
A=48m squared




Homework:

Angles

Angles - space between 2 connecting lines

Acute - an angle that is less than 90°

Obtuse- an angle that is greater than 90°and less than 180°

right- exact 90°

straight- 180°

angle bisector-the line that divides an angle into 2 equal parts

-equal angles are not mark with the same symbol

How to make an angle bisector

Method 1

1. use compass make an arc from the vertex that crosses both arms label them X and Y.

2. make an arc from point X and Y they must be equal size.

3. draw a line from point B to the arc intersection.

Method 2

1. use protractor measure the angle D,E,F .

2. divide your measurement by two.

3. make at 54 using protactor labelled Q

y) Join point Q with a straight line.

How to make Perpendicular lines.

Bisect
Bi- means two
Sect- means to cut
So bisect means to cut in two.

Directions:
1. Draw a line
2. Fold so pt A is on top of pt B.
3. Use a ruler to draw a line in the crease made by the fold.
4. Label the point where the two lines segments intersect P.
5. Measure the lengths of AP and BP
What do you noticed?
7. Use a protractor to measure the 4 angles created.
What do you notice? they are all 90*

You have created a perpendicular bisector
- a line that divides another line segment in half and is at right angles to it.
-equal line segments are marked with " hash" marks.



use a right triangle
1. Find the length of the line segment.
2. Determine the half way point.
3. Use right triangle to create a perpendicular line.


3rd way to make a perpendicular bisector.
use compass.



step one: make an arc from point A is greater then half way.
step two: make an equal sized arc intersections with a straight line, that line is a perpendicular bisector.


Draw a 12cm line segment label it PQ. Draw the perpendicular bisector of this line segment, all three was. Label the point where they intersect R.
a. what are the lengths of PR and PR?
b. what does it mean if the lengths are different?