Broad General Education Mathematics

Secondary 1 to 3

The BGE is a spiral curriculum which revisits skills -course content depends on pupil ability.

These notes cover the whole of BGE Maths and are presented in dropdown menus:

Content initially studied at S3 is marked S3 C

Number, Money and Measure

Algebra

Vocabulary of basics Operations Collecting like terms Simplifying expressions
Intro -solving equations Solving equations Inequalities
Common factors Removing brackets

S3 C FOIL Factorising Difference of Two Squares Changing the subject of the formula

Decimals

Place Value Rounding decimals
Add decimals Subtract decimals
Multiply decimals Dividing decimals
Multiply by 10,100,1000 Divide by 10,100,1000
Converting between fractions , decimals and percentages converting decimals to fractions converting decimals to percentages fractions, percentages, decimals you must know

Distance, Speed & Time

12 Hour clock 24 Hour clock

Calculating time intervals Convert units of time

turtle

Distance,Speed and Time
Distance - time graphs Distance charts

Fractions

cat

Basics Equivalent fractions Fractions of amounts
Mixed number and improper fractions
Converting between fractions , decimals and percentages converting fractions to percentages converting fractions to decimals fractions, percentages, decimals you must know
Adding and subtracting fractions
Multiplying fractions Dividing fractions

Integers

Positive & Negative numbers

cat

Adding and subtracting negative numbers
Multiplying integers Dividing integers
BODMAS Sets of Numbers

Money and Finance

Banking & Finance Benefits and allowances
Profit and loss Utility bills Foreign Exchange
Pay Overtime National insurance Income tax
Insurance Loans Hire Purchase
Simple interest Compound interest

Multiples, factors and primes

Multiples factors

List of first fifteen prime numbers
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47

Prime Factors

cat

primes Powers and roots

Percentages

Basic percentages
Converting between fractions , decimals and percentages converting percentages to decimals converting percentages to fractions fractions, percentages, decimals you must know
Using 1% and 10%Percentage increase and decrease Percentage of a total
Compound interest Back / reverse percentage

Ratio

Ratio Simplifying ratios Equivalent ratios
Proportion Sharing
Direct proportion Indirect proportion
Map scales Variation

Sequences and Formulae

Rules for sequences Triangular Numbers

S3 C Create formulae Evaluate formulae Changing the subject of the formula

Simultaneous Equations

S3 C Graphical method Solving algebraically

Standard Form and Significant Figures

Significant figures Scientific Notation (Standard Form) Tolerance

The Straight Line

The straight line Gradients

S3 C Gradient formula Graphs from equations Equations from graphs

Whole Numbers

Place Value calc

Adding subtracting multiplying dividing
times tables

Multiplying by 10 and 100 dividing by 10 and 100
Long multiplication
Rounding Rounding decimals
BODMAS

Shape, Position and Movement

Angles

Naming Angles

Use of Protractor

To draw angles

protractor

To measure angles

Types of Angles
acute, obtuse,
right angle, reflex complementary,
supplementary,
vertically opposite

sup

Corresponding angles Alternate angles

Angles in a triangle Angles in a polygon

Circles

circle

Radius, Diameter and Circumference Area Arcs and Sectors

S3 C Chords and things Angle in a semi circle Pythagoras in a circle

Compass points and bearing

bearing

Compass points Bearings

Co-ordinates

co-ords

Cartesian co-ordinates Co-ordinates in 4 quadrants
Transformations of shapes

Pythagoras' Theorem

The theorem of Pythagoras
Finding the hypotenuse Finding a short side
Converse of Pythagoras

S3 C Pythagoras in a circle

Scale Drawing

ani1

Using scales Enlargements & reductions

1:1 000 000

Map scales Example scale drawing

Shapes

Triangles Quadrilaterals
Faces, vertices, edges 3D Shapes

net

Nets

Similarity

Enlargements & reductions Scale factor calculations

S3 C Similar shapes Similar triangles
Scaled area and volume

Symmetry

Line symmetry at Maths is Fun Rotational symmetry

Trigonometry

S3 C Triangle sides Tan Sin Cos Which ratio ?

Information Handling

data

Course Overview and Learning Outcomes

For the purposes of this website, differentiated learning intentions for S1 and S2 are presented as groups A, B and C (easiest to hardest ) in a suggested order of topics :
S1 A Learning Intentions and Target Sheet S1 B Learning Intentions and Target Sheet S1 C Learning Intentions and Target Sheet
S2 A Learning Intentions and Target Sheet S2 B Learning Intentions and Target Sheet S2 C Learning Intentions and Target Sheet

Representation of BGE maths progression content equivalence :

bge

Content initially studied at S3 is marked S3 C

Education Scotland :Broad general education Education Scotland :BGE Experiences & Outcomes

Next steps : Choices for progression

National 4 Maths National 5 Maths
National 1 National 2 National 3 National 4 Applications National 5 Applications

Books

A selection of resources available at Amazon

TeeJay: CfE Third Level Book 3A TeeJay: CfE Third Level Book 3B TeeJay: CfE CfE Level 4+

Hodder: BGE S1–S3 Second Level Hodder: BGE S1–S3 Third Level Hodder:BGE S1–S3 Fourth Level bridging to National 5

Amazon: BGE Maths MM Amazon Store UK school subjects Maths Mutt Publications

As an Amazon Associate I earn from qualifying purchases.

Maths Mutt at Amazon

Drill Questions
Five Minute Fifty
Numeracy Angles Refresher

Topics