Circle Graphs

Sectors of circle graphs are made from central angles.

If the sector covers 25% of the graph the central angle is 25% of 360° which is 90°.

Integers

Negative numbers represent values below zero.
Positive numbers represent values above zero.

eg. above and below ground or sea level.

1 + (-2) = (-1) is an addition statement.

3 - (-1) = 4 is a subtraction statement.

Variables

Variable is an unknown number
Expression contains variables, operations and numbers, in any combination.

Practice finding the pattern
eg. 24, 21, 18, 15
and write equations for the patterns
eg. 27 - 3t = n

Divisiblility

Divisible - means when a number can be divided by another number, with no remainder or decimal.
- it is a whole number.

Divisibility Rules:
0 - ends in zero
1 - all numbers
2 - even numbers
3 - sum of the digits is 3
4 - divisible by 2 twice
5 - ends in 5 or 0
6 - divisible by 2 and 3
8 - divisible by 2 three times ( thrice )
9 - sum of the digits is 9
10 - ends in 0

Convert Fractions, Decimals and Percent

a - Fractions : eg .1

b                          2 

a - Decimals :     0.5

1

  a   - Percent :   50%

100

Transformations

Translation - slide along a straight line

Rotation - turn about a fixed point

Reflection - mirror image 

The Divisible Rule for 9

9.

- the sum of the digits is divisible by 9.

eg. 1+8+9+7+2+3+6 = 36
3+6 = 9

The Divisibility Rule for 5

5.

- all numbers ending in 0 or 5

eg. 5, 10 , 15, 20, 25, 30, 35, 40

Number of the day

Number : 4352.697

1. Half of the number : 2176.3485

2.expanded form: 4000+300+50+2+0.6+0.09+0.007

3.four thousand three hundred fifty two and six hundred ninety seven thousandths

4. round to the nearest 100: 4400

5. the digit in the tenths place: 6

Meanings

variable - a letter that represents an unknown number
eg. x, a, n

expression - any single number or variable or combination. Involving numbers and variables.
eg. 5, n, 8t, x=1, 2y - 7

value - a known or calculated amount.

Definitions

An improper fraction - is a fraction that has a greater numerator than the denominator.
eg. 9/8, 5/2, 7/3

The Divisibility rule for 8

- All numbers that are divisible by 2, three times

8 = 2 x 2 x 2

eg. 24÷2 = 12, 12÷2 = 6, 6÷2 = 3

- 24 is divisible by 8

Question 10, Page 146

10.

Fraction Decimal Percent

A) 1/4 0.25 25%

B) 3/4 0.75 75%

C) 1/5 0.20 20%

D)1/20 0.05 5%

E) 7/20 0.35 35%

Textbook Pages 137- 139

Question 10

Change each fraction to a repeating
decimal. Then use bar notation to show
the repeating part.

Today's Math Notes

Converting Fractions, Percents and Decimals.

Fractions - any whole number over any whole number.

eg. 1/2, 3/4, 5/3.

Percent - anything over 100.

eg. 60% = 60/100, 54.7% = 54.7/100

Decimal - anything over 1.

eg. 0.1/1, 0.5/1, 0.375/1

0.666666 = Repeating decimals

o.75 - Terminating Decimal

1/2 = 0.5 = an a equivalent fraction

Order of Operations

BEDMAS

4×3+12÷2
12 + 12÷2

12 + 6

18

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