Number patterns in algebra

In Mr Madge's maths class we are studying algebra. We are currently learning about the following:

Number Patterns in Algebra:

Numeric patterns in algebra are patterns made from numbers.
The numbers can be in a list. Any math operation (addition, subtraction, multiplication, or division) can be used to make the pattern
Many of the patterns in algebra you see will use addition. The same number will be added to each number in the list to make the next number in the list.
Example
       2, 4, 6, 8, 10, 12, 14…
The pattern in algebra is to add 2 every time. The next number is 16, then 18.

Examples for Number Patterns in Algebra:

Example 1:

            2,5,8,11,14,17…

Solution:

The pattern in algebra is to add 3 every time. The next number is 20, then 23.

Example 2:

            1,3,5,6,9,11,13,15,…

Solution:

Can you guess what the solution is

(Source) tutor vista

Zeros that do not affect the value

Today in mathematics we looked at zeros in numbers that do not affect their value.
When writing decimals one or more zeros can be added to the right of the decimal point, after the last digit, without affecting the value of the number.
For example:
4.2 = 4.20 = 4.200
2.5 = 2.50 = 2.500

Can you think of any other examples?

Compact and expanded form

One way to help us understand large numbers is to write the numerals in expanded form:

Compact form - 4326

Expanded form - 4000 + 300 + 20 + 6 or (4×1000) + (3×100) + (2×10) + (6×1)

How would you write 3452 in expanded form?

How do we do this for decimals? Easy!

Whole numbers			∙	Fractions/Decimals
Hundreds	Tens	Ones	∙	Tenths	Hundreths
	8	2	∙	3	7

We say 82.37 as “eighty two point three, seven”.

82.37 is the compact form.

In expanded form 82.37 = (8 × 10) + (2 × 1) + (3 × 0.1) + (7 × 0.01)

Or 80 + 2 + 0.3 + 0.07

Mathematics involving money

Close to all our hearts in year 7 & 8 is money. Today we were learning to:

• round money amounts to the nearest $1.00
• round money amounts to the nearest $10.00
• round money amounts to the nearest $100.00

Rounding down or up amounts helped us to estimate the cost of buying a number of items at the same time.

Can you round these amounts to the nearest $1.00
$5.85  $37.15  $58.35

Can you round these amounts to the nearest $10.00
$15.75  $87.99  $28.70

Can you round these amounts to the nearest $100.00
$367.75  $87.99  $549.70

Why would having good estimation skills help us?
You know roughly how much your spending (Courtney)
You know if you're spending too much (Crystal)
So you can budget with your money (Emily)

Learning place value

In our mathematics class we have been reviewing place value. View our place value chart below.

Can you say these numbers out aloud?
a)34.52 b)567.324 c)1234.4325 d)45221.09873

Maths in room 12

In the senior syndicate we move to different classes for mathematics. At the moment we are learning about statistics. This week we have been learning about the following ideas:
Mean=Add the scores together and then divide them by the number of scores.
Median= To find the median you put the numbers in order then start counting from the outside and count in till you reach the middle number. If there is an even amount of numbers you will end up with 2 numbers, find the number in between those numbers for example if you had 6 and 8 the median would be seven.
Mode=The mode is the most common score. If you have 2 most common scores that means they are both modes. If all the scores are different there is no mode.

By Anahera