Intermediate 1

Unit 1
Basic calculations

Rounding Decimals

Percentages
Simple Interest
Ratio - Direct proportion
Basic geometric properties

Area - Rectangle, Square, Triangle, Circle , Kite

Composite Area
Perimeter, Area & Volume
Circles:- circumferences
Circles :- Calculating the area
Expressions and formulae

Formulae in words

Evaluating Formulae
Order of operations
Formulae in Symbols
Calculations in everyday contexts

Pay

Overtime
Foreign Exchange
Insurance
Hire Purchase
Unit 2
Simple graphs, charts and tables

Types of charts

Stem and leaf diagram
Pie Charts
Frequency tables
Scattergraphs
Line of Best Fit
Speed, distance and time Calculating time differences
Distance - time graphs
Distance, Speed & Time
Pythagoras' Theorem

The Theorem of Pythagoras

Finding the length of the hypotenuse

Finding the length of a shorter side

Integers

Integers

Adding negative numbers
Subtracting negative numbers
Multiplying integers
Dividing Integers
Simple statistics

Mean, Mode, Median and Range

Frequency tables

Probability

Unit 3
Simple algebraic operations

Evaluating Formulae

Factors - Removing brackets

Highest Common Factor

Factorising

Equations - reminder

Inequalities

Graphical relationships

Plotting Cartesian coordinates

The straight line

Gradients

Equations and graphs

Plotting Straight Line Graphs

Finding equations from Straight Line Graphs

Trigonometry in a right-angled triangle

Opposite, Adjacent and Hypotenuse

Using Tan to find angle

Using Tan to find side

Using Sine to find angle

Using Sine to find side

Using Cosine to find angle

Using Cosine to find side

Which Ratio ?

Standard form

Standard Form

Unit 4 Applications of mathematics
Calculations in a Social Context Pay, Loans, Bills
Logic Diagrams Using spreadsheets, Creating and using network diagrams
Scale drawings and nets of solids Scale factors, bearings,Nets, Surface area

Intermediate 2

Unit 1
Calculations with percentages

Rounding Decimals

Significant Figures

Standard Form

Percentages

Profit and Loss

Percentage Profit and Loss

VAT

Simple Interest

Compound Interest

Appreciation

Depreciation

Back / Reverse Percentage

Volume of Solids Calculating volumes, V=Ah, etc
Linear relationships

Plotting Cartesian coordinates

The straight line

Gradients

Equations and graphs

Plotting Straight Line Graphs

Finding equations from Straight Line Graphs

Algebraic Operations

Removing brackets

FOIL

Factors

HCF

Factorising

Difference of Two Squares

Properties of the circle

The Circle - calculating the circumference

The Circle - Calculating the area

Circle - Arcs, sectors Overview

Circle - Calculating length of arcs

Circle - Calculating the area of a sector

Circle - Chords and things

Circle - Pythagoras in a circle

Circle - Angle in a semi circle

Unit 2
Trigonometry

Sin, Cos or Tan ?

Exact values

Angles greater than 90 degrees

Area of a triangle - Example

Sine Rule- Example

Cosine Rule- Examples

Simultaneous Linear Equations

Simultaneous Equations : Graphical Method

Simultaneous Equations : Solving by Elimination

Graphs, Charts & Tables Types of charts
Stem and leaf diagram
Pie Charts
Frequency tables
Scattergraphs
Relative Frequency
Cumulative Frequency (Ogive)
Dot Plot
5 Figure summary and Boxplots
Use of simple Statistics Mean, Mode, Median and Range
Interquartile range
Standard Deviation
Unit 3
Algebraic Operations Algebraic fractions
Changing the subject of the formula
Surds
Indices
Quadratic Functions Quadratics
Finding Roots of Quadratics
Quadratic graphs
Factorizing Quadratics
Quadratic formula
Further Trigonometry quadrant
Algebra - Solving Trig equations
Amplitude and Period
Graphs
Unit 4 Applications of Mathematics
Calculations in a social context Payslips
Net Pay
Overtime
Superannuation
Income Tax
National Insurance
Loans
Income Tax
Logic Diagrams Excel spreadsheets
Tree diagrams
Network diagrams
Activity networks
Flowcharts
Decision trees
Formulae
Formulae in words
Evaluating Formulae
Formulae in Symbols
Changing the subject of the formula

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