GB Maths Progress

Age 7 - 11

Term 1

• Addition and Subtraction
• Multiplication
• Division
• Fractions: Adding and Subtracting
• Multiplication: Large Numbers
• Division: Large Numbers
• Fraction of a Quantity

Term 2

• Equations I
• Equations II
• Equations III
• Geometry I to VI Including precision of drawing, properties of shape, measuring lengths and angles, using a protractor, polygons, vertices, equivalence.

Term 3

• Combining Addition, Subtraction, and Multiplication
• Using a Grid for Multiplication and Division
• Long Multiplication
• Long Division
• Fractions: Addition and Subtraction
• Fractions: Division

GB Maths Plus

Age 8 - 13

Term 1

• Vertical Addition and Subtraction
• Two-digit Multiplication
• Division with remainders as fractions
• Fraction of a Quantity
• Percentage of a Quantity
• Place Value with Decimals
• Add, Subtract, Multiply and Divide: Decimal Fractions

Term 2

• Using a split Grid for 1, 2 & 3 Step Equations
• Introduction to and use of ZERO
• Measuring Angles and Plotting Coordinates in 4 Quadrants
• Exploring Reflective Symmetry

Term 3

• Using a Grid for Long Multiplication
• Using a Grid for Long Division
• Finding a Fraction of a Quantity
• Equivalent Fractions: Addition and Subtraction of Fractions
• Equivalent Fractions: Division

GB Maths Elite

9- 15 years old

Term 1

• Equivalent Fractions
• +, - & ÷ Fractions with different DENOMINATIONS
• Multiplying Fractions
• Place Value with Decimals
• +, -, ÷ & × Vulgar and Decimal Fractions
• Ratio
• Ratio Problems

Term 2

• 1, 2 & 3 Step Equations1, Equations
• Transformations I: Translation
• Transformations II: Reflection
• Transformations III: Enlargement
• Transformations IV: Rotation

Term 3

• Constructions I: Perpendicular Bisector
• Constructions II: Circumcircle of a Triangle
• Constructions III: Angle Bisector
• Constructions IV: Inscribed Circle of a Triangle
• Fractions of a Quantity
• Percentage of a Quantity
• Conversion of Units
  

GB Maths Excel

Age 11 - 16

Term 1

• Algebraic Manipulation
• Expansion of brackets
• Factorisation of expressions
• Simplifying Algebraic Fractions
• Simultaneous Equations I: Elimination
• Simultaneous Equations II: Substitution
• Simultaneous Equations III: Graphical Solution
• Simultaneous Equations IV: Worded Problems

Term 2

• Pythagoras’ Theorem I: Proof and use in 2-D
• Pythagoras’ Theorem II: Problems and use in 3-D
• Coordinate Geometry I: Plotting in 4 Quadrants
• Coordinate Geometry II: Finding the Length of a line
• Coordinate Geometry III: Finding the Gradient of a line
• Coordinate Geometry IV: Finding the Mid-Point of a line
• Shapes and their properties

Term 3

• Probability I: The language of Probability,
• Measuring Probability
• Estimating Probability
• Probability II: Combined Outcomes
• Independent Events
• Conditional Probability
• Probability III: Tree Diagrams
• Expectation
• Probability IV: Venn Diagrams

Term 4

• Look and Hear the Logic
• Substitution into Formulae
• Transposition of Formulae
• Circle Theorems I: Proof & use of Angle at the Centre is
• twice the angle at the circumference.
• Circle Theorems II: Proof & use of the Angle in a Semi-Circle is 90°
• Circle Theorems III: Proof & use of Angles off the Same Chord are equal
• Circle Theorems IV: Proof & use of Opposite Angles of a Cyclic Quadrilateral sum to 180°

Term 5

• Constructions I: Perpendicular Bisector
• Constructions II: Angle Bisector
• Constructions III: Constructions 60°,120°, 90°, 30°, 45°, 15°
• Constructions IV: Circumcircle & Inscribed Circle
• Circle Theorems V: Proof & use of Radius to Tangent is 90°
• Congruent Triangles: Derivation and use of conditions for congruency SSS, ASA, SAS, RHS
• Circle Theorems VI: Proof & use of Tangents from a point
• are equal in length.
• Circle Theorems VII: Proof & use of Alternate Segment
• Circle Theorems VIII: Proof & use of Radius is perpendicular bisector of a chord.

Term 6

• Trigonometry I: Introduction to SOH CAH TOA, and naming the sides
• Trigonometry II: Finding a missing Side using SOH CAH TOA
• Trigonometry III: Trickier finding a missing Side using SOH CAH TOA
• Trigonometry IV: Finding a missing Angle using SOH CAH TOA
• Trigonometry V: Derivation and use of The Sine Rule
• Trigonometry VI: Derivation and use of The Cosine Rule
• Trigonometry VII: Use of the Unit Circle for Trig Graphs

Term 7

• Ratio
• Worded Problems using Ratio
• Measures of Location & Spread I: Mean, Mode & Median
• Measures of Location & Spread II: Range & Inter Quartile Range
• Representing Data I: Bar Charts, Frequency Polygons and Pie Charts
• Representing Data II: Grouped data: Cumulative Frequency and Box Plots
• Estimating the Mean: Grouped Data
• Representing Data III: Grouped data: Histograms

Term 8

• Length Area & Volume I: Derivation and use of Formulae for Areas of different 2-D shapes
• Length Area & Volume II: Derivation and use of Formulae for Volumes of different 3-D shapes
• Length Area & Volume III: Effect of Enlargement on Area and Volume
• Transformations I: Translation
• Transformations II: Reflection
• Transformations III: Enlargement
• Transformations IV: Rotation

Term 9

• Functions I: Function Machines
• Functions II: Function Notation and Inverse Functions
• Functions III: Compound Functions
• Equations I: 1, 2 & 3 Step Linear Equations
• Equations II: Quadratic Equations: Factorisation
• Equations III: Quadratic Equations: Completing the Square
• Equations IV: Quadratic Equations: Using the Formula
• Equations V: Simultaneous Equations: One linear and One Quadratic

GB Maths Exam Preparation

Including Entrance Exams, CAT, GCSE & A Level

Students are given a separate notebook to develop a bespoke set of notes on the topics they find tricky.

These tricky topics are identified as the student works through sets of past papers at the appropriate level for their age and tier of entry at GCSE.

When the students collect their papers, they also get a copy of the mark scheme. The students are then expected to complete between 4 and 5 questions and then mark them to ensure they are collecting all the marks available. This process allows the students to practice the topics they know well and ensures they get all the marks they should and also enables the trickier topics to be identified.

As soon as a tricky topic is identified, the tutor will go through that item ensuring notes are taken as to how to get to the correct answer in the most efficient way possible. The student builds up a set of notes that is bespoke to their needs and when they come across the tricky topic on a different past paper, they will either get it right first time, or they can refer to their notes, or they can ask again for some help from the tutor. It doesn’t matter how many times we are asked to go over topics, the essential thing is that the student learns how to be successful.

Exam technique is also discussed as sometimes marks are lost by not approaching the exam in a logical manner...