Academic

Maths

Lower School Curriculum

The Ginn Abacus Scheme is used throughout Lower School with other textbooks being used to supplement when necessary. This follows a cycle of topics, which are reinforced and extended every half term. We feel it is very important that the correct foundation work is established. Children come from several different pre-prep schools and therefore some time in Year 3 is spent on basic computation and consolidation of work taught in their previous school.

Emphasis is placed on:

  • The practical handling of data and material.
  • The layout and presentation of calculations.
  • Understanding of the Four Operations and their application:
  • (addition, subtraction, multiplication and division).
  • The development of a range of skills that will achieve a grasp of the various concepts that are covered in Years 3 - 5.
  • The ability to perform mental calculations and estimate a reasonable answer.
  • Practical problem-solving and investigations.

We expect each child to spend as much time as possible on learning and understanding the multiplication tables 1-10. Some topics may need much repetition and may be approached from various viewpoints in order to reinforce them. Practical activities and games are an important aspect of the Maths curriculum.

Each year group is arranged into four sets for all their Maths lessons in which teaching is focused to the needs of that group. Children may be moved between these groups depending on their progress.

During his/her time in the Lower School a child will cover the following:

  • Place value to 10,000;
  • Four operations of number: addition, subtraction, division, multiplication;
  • Measure - mass, distance, time;
  • Area, perimeter and volume;
  • Shape - two and three-dimensional figures;
  • Symmetry;
  • Graphs and data handling;
  • Simple fractions and decimals;
  • Probability and problem solving;
  • Money - including familiarity with the use of coins;
  • Use of a calculator;
  • Using and applying mathematics.

Lessons frequently include mental arithmetic as a warm up to the main topic. Group work and discussion form an important part of the curriculum and children are encouraged to develop their predictive skills and to correct their own mistakes. Our aim is to stimulate interest, increase confidence and stretch each child.

Standardised assessment tests are used to monitor progress throughout the Lower School.

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Upper School Curriculum

Autumn Term

Number: Multiplying and Dividing.
Place Value: Value of Nought.
2D shapes: Names, Polygons, Properties.
Co-ordinates: Four Quadrants.
Ratio: Direct Proportions.
Angles: Types, Measuring.
Decimals: Adding & Subtracting.
Accurate drawing: Use of instruments.
Number Patterns/Operations.
3D Objects: Names, Drawing, Properties.
Time: Difference, 24 hour clock.
Sequences: Prime Factors, General Statements.
Units: Conversion, Mass, Length, Capacity.
Open-ended Investigation

Spring Term

Rounding: Estimation
Negative numbers: Numberline.
Fractions: Equivalent, Common factor.
Area/Perimeter: Formulae.
Volume: Formulae.
Number machines: Multiples, Factors.
Algebra: Formulae.
Probability: Experimental.
Percentages: Fraction Conversion, Percentage of an Amount.
Symmetry: Line, Plane, Rotational.
Handling data: Collecting, Displaying, Interpret.
Averages: Range, Mode.

Summer Term

Calculator use: Basic Operations.
Simple equations.
Constructions: Rule, Compasses, Protractor.
Compass bearings: 3 figure, 8 point compass.
Revision: Topics as necessary.
Past papers KS2.
Exams KS2
Using & Applying
Mathematics Project

Autumn Term

Statistics: Surveys, Pie-Charts, Tallying in Groups, Location, Scatter Diagrams.
Symmetry: Lines of Symmetry, Symmetry in Everyday Life, Turnings, Rotational Symmetry.
Number Patterns: Factors, Multiples & Primes, Patterns in Number, Rules & Robots.
Arithmetic & The Calculator: Rounding Up and Down, Mental Arithmetic, Estimation, Priority of Operations.
Shape & Construction: Names of Polygons, More about Polygons, Using Compasses, Tessellations & Congruence.
Decimals: Place Value in Whole Numbers, The Decimal Point, Working with Decimals,
Problems with Decimals.
3D Work: Identifying Solids, Using Isometric Paper, Nets of Cubes & Cuboids, More About Nets & Solids.
Algebra: Writing Simple Formulas, Two-Stage Formulae, How to Make Everyone Understand, Collecting Terms, Substitution in Formulas.
Statistics: The Mean, Other Types of Average, The Range, Misleading Statistics.

Spring Term

Probability: Probability Scales, How the Theory Works. Experiments & Games. When the Theory Doesn’t Work.
Angles: Introducing Angles, Calculating with Angles, Angles in Triangles, Constructions.
Extending the Number Line: Introducing Negative Numbers, Co-ordinates in all Four Quadrants, Graphs of Number Patterns.
Algebra into the Unknown:
Inverse Operations, Equations, Trial & Improvement.
Area & Perimeter: Irregular Shapes, Areas of Rectangles, Perimeter of Shapes, Areas of Triangles and Parallelograms, Compound Shapes.
Fractions & Percentages: Introducing Fractions, Working with Fractions, Fractions, Decimals & Percentages, Ordering Fractions.

Summer Term

Statistics: Diagrams & Charts, Pie-Charts, Pie-Charts, Designing a Questionnaire.
Algebra: Number Patterns, Reversing Rules, Substitution.
Negative Numbers: The Rules for Directed Numbers, Using Negative Numbers.
Open-ended Investigation
Using & Applying
Mathematics Projects

Autumn Term

Graphs: Conversion Graphs, Graphs & Rules, Time, Travel Graphs.
Estimating: Powers & Roots, Mental Maths, Estimation.
Statistics: Diagrams & Charts, Pie-charts, Designing a Questionnaire.
Algebra: Number Patterns, Reversing Rules, Substitution.
Transformations: Reflections, Movement – transformations, Rotation, Enlargement.
Negative Numbers: Rules for Directed Numbers, Using Negative Numbers.
Angles: Parallel Lines, Polygons.
Area: Perimeter & Area, Enlargement and Area.
Help Yourself: Multiplication & Division.

Spring Term

Probability: It always add up to 1, How to make it look difficult, Sample Space Diagrams.
Percentages & Fractions: Simple Percentages, Calculating Percentages, Fractions.
Straight Lines: Lines of the Grid, Patterns of Lines, Finding the Equation.
Ratio: The Metric System, Introduction to Ratio, Proportion, Maps & Scales.
Statistics: Averages and Ranges, Grouping Data, Frequency Polygons.
Volume: Pack it in! Stacking, Prisms.

Summer Term

More or Less: Trial & Improvement, Inequalities, Solving Simple Linear Inequalities.
The Crossing Point: Intersecting Lines, Solving Problems, Using Algebra
Open-ended Investigation
Using and Applying
Mathematics Project

Prep

Year 6
1 x 30 minute prep per week
Year 7
1 x 45 minute prep per week
Year 8
1 x 45 minute prep per week

Pupils have 5 periods a week in Year 6 and 4 periods per week in Years 7 & 8 for mathematics (lessons are of fifty minute duration). In Years 6, 7 & 8 children are grouped into sets for maths according to their ability, previous performance and the recommendations of maths staff. These sets are reviewed regularly.

Curriculum Enrichment for Gifted and Talented Pupils in Mathematics

Using and applying maths projects and investigations are incorporated into the curriculum to develop thinking and problem-solving skills.

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Girl doing sums