GCSE Mathematics – Basics of number
SLIDE NUMBER 1
May 2019
© VIDLEARN® 2019
Claire Roberts
1
Session Objectives
The purpose of the session is to:
Understand notation, vocabulary, positive and negative integers and symbols
Calculate using formal written methods of the four operations including brackets, powers, roots and reciprocals
Recognise and apply positive integer powers and associated real roots (square, cube and higher) powers of 2, 3, 4, 5
Describe estimation of calculations and apply the concept to round numbers and measures
Define factors and multiples and use Prime Factor Decomposition to identify HCF and LCM
Define the product rule for counting (combinations)
Perform a range of calculations using fractions, decimals and percentages
SLIDE NUMBER 2
May 2019
© VIDLEARN® 2019
2
CONSIDER…
At this point you should consider the list of session objectives and ask yourself:
How many of the session objectives am I confident with
Could I explain these objectives in relation to teaching and learning
SLIDE NUMBER 3
May 2019
© VIDLEARN® 2019
3
Session Objectives
The purpose of the session is to:
Understand notation, vocabulary, positive and negative integers and symbols
Calculate using formal written methods of the four operations including brackets, powers, roots and reciprocals
Recognise and apply positive integer powers and associated real roots (square, cube and higher) powers of 2, 3, 4, 5
Describe estimation of calculations and apply the concept to round numbers and measures
Define factors and multiples and use Prime Factor Decomposition to identify HCF and LCM
Define the product rule for counting (combinations)
Perform a range of calculations using fractions, decimals and percentages
SLIDE NUMBER 4
May 2019
© VIDLEARN® 2019
4
Key vocabulary
In mathematics, the natural numbers are those used for counting and ordering. In common language, words used for counting
are cardinal numbers and words used for ordering are ordinal numbers.
The symbol for the set of all natural numbers is shown
An integer is a number that can be written without a fractional component. The set of integers consists of the positive and negative natural numbers and zero.
21, 4, 0, and −2048 are integers, but 9.75, 5 ¹⁄₂, and √2 are not.
The symbol for the set of all integers is shown
(originating from the German word zahlen)
Basics of number
SLIDE NUMBER 5
May 2019
© VIDLEARN® 2019
5
Key vocabulary
The type of number we normally use, such as 1, 15.82, −0.1, 3/4, etc, are called real numbers. Positive or negative, large or small, whole numbers or decimal numbers are all real numbers, so called because they are not imaginary numbers.
The symbol for the set of all real numbers is shown
An imaginary number is one that when squared gives a negative result. When we square a real number we always get a positive, or zero, result. For example, 2×2=4, and (-2)×(-2)=4 as well.
So how can we square a number and get a negati ...Read less