Mathematics Expressions and Formulae (National 5)

1

Applying numerical skills to simplify surds/expressions using the law of indices

1.1

Working with surds

¨       Simplification

¨       Rationalising denominators

1.2

Simplifying expressions using the laws of indices

¨       Multiplication and division using positive and negative indices including fractions

¨       Calculations using scientific notation

¨      

2

Applying algebraic skills linked to manipulate expressions

2.1

Working with algebraic expressions involving

expansion of brackets

¨              

¨      

Ø 

2.2

Factorising an algebraic expression

¨       Common Factor

¨       Difference of squares

Ø  Common factor with difference of squares

¨       Trinomials with unitary coefficient

Ø  Trinomials with non-unitary  coefficient

2.3

Completing the square in a quadratic expression with unitary x2 coefficient

3

Applying algebraic skills to algebraic fractions

3.1

Reducing an algebraic fraction to its

simplest form

¨       where ,  are of the form

or

3.2

Applying one of the four operations to

algebraic fractions

¨        where  

* can be simple constants or variables.

Can be add, subtract, multiply or divide

4

Applying geometric skills linked to the use of formulae

4.1

Determining the gradient of a straight line,

given two points

4.2

Calculating the length of arc and the

area of a sector of a circle

 

4.3

Calculating the volume of a standard solid

¨       Sphere, cone, pyramid

4.4

Rounding to a given number of significant figures

 

CT
  • The Arbelos

5

Reasoning Skills

5.1

Interpreting a situation where mathematics can be used  and Identifying a strategy

5.2

Explaining a solution and/or relating it to context

CT

·         Playing the Game