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presents a lesson in © Afiya Clyne 2019
Types of Numbers • Whole Numbers • Natural/Counting Numbers • Even Numbers • Odd Numbers • Prime Number • Composite Numbers • Rectangle Numbers • Square Numbers • Cube Numbers • Triangle Numbers
WHOLE NUMBERS • This group of numbers is very large. • It includes the number zero (0). • All the other groups of numbers are found in this group . • This group is (infinite/never-ending). It goes on and on. etc
COUNTING NUMBERS • This group contains exactly the same numbers as WHOLE NUMBERS, but it does not have zero (0) in it. • Think about how you count. You start with 1. etc
EVEN NUMBERS , , , • These numbers end with and • You can get them by counting in twos. • They are all divisible by 2. • They leave no remainder when divided by 2. etc
ODD NUMBERS , , , , • These numbers end with • When these numbers are divided by 2. They always leave a remainder of 1. etc
PRIME NUMBERS • This type of number can only be divided by 1 and itself. • A prime number has only two factors -1 and the number itself. • 2 is the only even prime number. • All the other prime numbers are odd. etc
COMPOSITE NUMBERS • These numbers can be divided exactly by 3 or more numbers including itself and 1. • These numbers have more than 2 factors. • If you are not a prime, you’re a composite number. etc
RECTANGLE NUMBERS • These are numbers you can arrange to form a rectangular or square pattern. • It MUST have more than 1 row or column. • The number of dots present is the rectangle number. • It has the same numbers as composite numbers. • Square numbers are also contained in this set of numbers.
SQUARE NUMBERS These numbers occur when you multiply a number by itself. The answer you get when you multiply a number by itself is the square number.
Finding square numbers 12 = 1 x1 = 1 22= 2x2 = 4 32= 3x3 = 9 42= 4x4 = 16 52= 5x5 = 25 62=6x6 = 36 72=7x7 = 49 82=8x8 = 64 92=9x9 = 81 102=10x10 = 100 The purple numbers are square numbers
CUBE NUMBERS • These numbers occur when you multiply a number by itself 3 times. • The answer you get when you multiply a number by itself 3 times is the CUBE NUMBER.
Finding cube numbers 13 = 1 x1x1 = 1 23= 2x2x2 = 8 33= 3x3x3=27 43= 4x4x4 = 64 53= 5x5x5 =125 63=6x6x6= 216 73=7x7x7= 343 83=8x8x8= 512 93=9x9x9= 729 103=10x10x10=1000
THE FIBONACCI SEQUENCE • Leonardo Fibonacci or Leonardo of Pisa was an Italian Mathematician. • He discovered a very interesting number pattern, which is now called the Fibonacci sequence. • This pattern could be found in nature and in designs created in ancient civilizations in Africa, Asia, China and many others.
THE FIBONACCI PATTERN The pattern is very easy to make. This is the pattern
How to make the Fibonacci pattern To make the next number in the pattern: Add together the last two numbers. E.g. 2 3 5 8 13 1 1 1+1= 2 1+2=3 2+3= 5 3+5= 8 5+8= 13 21 34 etc 8+13= 21 13+21=34
TRIANGLE NUMBERS You can arrange these number to form triangular patterns with dots
TRIANGLE NUMBER PATTERN 1=1 1+2 =3 1+2+3 =6 1+2+3+4 =10 1+2+3+4+5 =15 1+2+3+4+5+6 = 21 1+2+3+4+5+6+7 = 28 1+2+3+4+5+6+7+8 = 36 1+2+3+4+5+6+7+8+9 = 45 1+2+3+4+5+6+7+8+9+10 = 55
Best of Luck Keep Working