This week is ensuring you know key terms and revising the four operations and their uses in many situations.
The achievement standards: Students use efficient mental and written strategies to carry out the four operations with integers.
Firstly, what is an integer? How is it different to a whole number or natural number? What on earth is a rational or irrational???
Lets review (or introduce) the ‘real number system’
Natural Numbers: all positive whole numbers 1 and above.
Whole Numbers: all positive whole numbers including zero.
Integer: is a whole number which can be positive and negative (no fractions or decimals)
Rational numbers: any number which can be written as a fraction where top and bottom are integers and bottom cannot be 0.
Irrational Numbers: cannot be written as a fraction
Real numbers: all fractions, decimals, positive and negative numbers
Some good diagrams of the above info:
Now we have reviewed number terminology, what are the 4 operations???
We want to know how comfortable you are with these and whether you know strategies to do them without a calculator, so think about the following questions:
- Do you know how to add large whole numbers without a calculator? Eg 1689 + 2358
- Do you know how to subtract large whole numbers without a calculator? Eg 5987-625
- Can you add decimals and/or fractions without a calculator?
- Can you subtract decimals and/or fractions without a calculator?
- Do you know how to multiply whole numbers without a calculator?
- Do you know how to divide whole numbers without a calculator?
- Can you multiply decimals and/or fractions without a calculator?
- Can you divide decimals and/or fractions without a calculator?
- Can you do the above with a calculator?
- Do you know order of operations?
The goal for today is to figure out the answers to the above for each of you so we can cater the work to you!
To help us, you will be completing a worksheet, some of you may find this easy, some may find it hard (or a mixture).
Muliyan 