Topic/Skill Definition/Tips Example
Topic: Proofs
1. Expression A mathematical statement written using 3x + 2 or 5y2
symbols, numbers or letters,
2. Equation A statement showing that two expressions 2y – 17 = 15
are equal
3. Identity An equation that is true for all values of 2x ≡ x+x
the variables
An identity uses the symbol: ≡
4. Formula Shows the relationship between two or Area of a rectangle = length x width or
more variables A= LxW
5. Coefficient A number used to multiply a variable. 6z
It is the number that comes before/in front 6 is the coefficient
of a letter. z is the variable
6. Odds and An even number is a multiple of 2 If n is an integer (whole number):
Evens An odd number is an integer which is not a
multiple of 2. An even number can be represented by
2n or 2m etc.
An odd number can be represented by
2n-1 or 2n+1 or 2m+1 etc.
7. Consecutive Whole numbers that follow each other in If n is an integer:
Integers order.
n, n+1, n+2 etc. are consecutive
integers.
8. Square A term that is produced by multiply another If n is an integer:
Terms term by itself.
n2 , m2 etc. are square integers
9. Sum The sum of two or more numbers is the The sum of 4 and 6 is 10
value you get when you add them together.
10. Product The product of two or more numbers is the The product of 4 and 6 is 24
value you get when you multiply them
together.
11. Multiple To show that an expression is a multiple of 4 n2 +8 n−12 is a multiple of 4 because
a number, you need to show that you can it can be written as:
factor out the number.
Subject: Maths 2
4 (n +2 n−3)
Mr A. Coleman Glyn School
Topic: Proofs
1. Expression A mathematical statement written using 3x + 2 or 5y2
symbols, numbers or letters,
2. Equation A statement showing that two expressions 2y – 17 = 15
are equal
3. Identity An equation that is true for all values of 2x ≡ x+x
the variables
An identity uses the symbol: ≡
4. Formula Shows the relationship between two or Area of a rectangle = length x width or
more variables A= LxW
5. Coefficient A number used to multiply a variable. 6z
It is the number that comes before/in front 6 is the coefficient
of a letter. z is the variable
6. Odds and An even number is a multiple of 2 If n is an integer (whole number):
Evens An odd number is an integer which is not a
multiple of 2. An even number can be represented by
2n or 2m etc.
An odd number can be represented by
2n-1 or 2n+1 or 2m+1 etc.
7. Consecutive Whole numbers that follow each other in If n is an integer:
Integers order.
n, n+1, n+2 etc. are consecutive
integers.
8. Square A term that is produced by multiply another If n is an integer:
Terms term by itself.
n2 , m2 etc. are square integers
9. Sum The sum of two or more numbers is the The sum of 4 and 6 is 10
value you get when you add them together.
10. Product The product of two or more numbers is the The product of 4 and 6 is 24
value you get when you multiply them
together.
11. Multiple To show that an expression is a multiple of 4 n2 +8 n−12 is a multiple of 4 because
a number, you need to show that you can it can be written as:
factor out the number.
Subject: Maths 2
4 (n +2 n−3)
Mr A. Coleman Glyn School