12 ～ 16 歳向けの基本的な GCSE 数学のトピックの早期入門。

This is an ongoing course that will study the British Curriculum for Year 9 - approx. age 13 (Transition year from Key Stage 3 into Key Stage 4), and continue through the GCSE Key Stage 4 course. It is a loop course to help prepare for the GCSE examinations.

This class will be taught as a mini-classroom environment where the material will be taught by PowerPoint. There will be plenty of explained examples, and time for pupils to ask quick questions for clarification and to aid understanding as we go through.

Each week, the new topics will be introduced and developed starting from basics, but allowing extension where possible. Online platforms will be used to monitor and assess progress in real-time, so that support can be given. Any work submitted will be marked online and feedback can be given. Some online resources will also give immediate feedback.

As lessons are recorded, pupils can re-watch the recordings in case they missed copying down examples, or wish to revisit the topic at a later date. If any pupils require additional support on a 1-to-1 basis, this can be arranged separately on request.

Week Commencing 02.09.2024 - Prime factors, HCF & LCM (inc. Venn diagrams), BIDMAS/PEMDAS (integers)

Week Commencing 09.09.2024 - Directed numbers (Negatives), Indices/Powers/exponents and Standard Form

Week Commencing 16.09.2024 - Rounding to decimal places, significant figures, estimating (intro into error)

Week Commencing 23.09.2024 - Adding, Subtracting, Multiplying and Dividing decimals & BIDMAS/PEMDAS

Week Commencing 30.09.2024 - Algebra: Collecting like terms, Expanding single brackets, Factorising into single brackets

Week Commencing 07.10.2024 - Algebra basics continued

Week Commencing 14.10.2024 - Algebra expanding double brackets, substitution and Pythagoras' Theorem


Mid-TERM 1 Break (2 weeks)


Week Commencing 04.11.2024 - Statistics: Collecting and Representing Data (inc. Pie Charts & Stem and Leaf Diagrams)

Week Commencing 11.11.2024 - Statistics: Types of data, Central tendencies (mean, mode, median), LQ, UQ, IQR, Frequency tables, averages from grouped data

Week Commencing 18.11.2024 - Using formulae, rearranging formulae, making subject of a formula (inc. factorisation)

Week Commencing 25.11.2024 - Statistics: Types of data, Central tendencies (mean, mode, median), LQ, UQ, IQR, Frequency tables, averages from grouped data

Week Commencing 02.12.2024 - Trigonometry: Trig ratios, using Sin/Cos/Tan to find lengths and angles

Week Commencing 09.12.2024 - Sequences: Identifying different types of sequences, arithmetic, geometric progressions, term-to-term and position-to-term formulae for linear sequences

To be added if possible  Algebra: Solving linear equations, with brackets, and unknowns on both sides

END OF TERM 1 break (3 weeks)


Week Commencing 06.01.2025 - Sequences: Identifying different types of sequences, arithmetic, geometric progressions, term-to-term and position-to-term formulae for linear sequences

Week Commencing 13.01.2025 - Ratio and proportion: Using ratios, simplifying ratios, dividing quantities into a ratio, 1:n and n:1, map ratios and scale drawings

Week Commencing 20.01.2025 - Metric conversions, Imperial measurements, I+M conversions, reading scales and dials, converting between lengths, areas and volumes, possible introduction to similarity.

Week Commencing 27.01.2025 - Statistics: Frequency diagrams, Frequency polygons, Scatter diagrams and Lines of best fit, Correlation

Week Commencing 03.02.2025 - Angle properties around straight lines, parallel line and around polygons.

Week Commencing 10.02.2025 - Comparing fractions, addition and subtraction of fractions, including mixed numbers


Mid Term 2 Break (1 week)


Week Commencing 24.02.2025 - Multiplication and division of fractions, fractions of quantities, converting fractions to percentages and decimals

Week Commencing 24.02.2025 - Percentage introduction, percentage change, percentage  of an amount, percentage increase and decrease, converting percentages to fractions and decimals

Week Commencing 03.03.2025 - Transformations: reflection, rotation, translation

Week Commencing 10.03.2025 - Transformations: enlargement with both positive integer scale factors, fractional and negative. Use both the ray method and vector method

Week Commencing 17.03.2025 - Drawing straight-line graphs, finding gradient, finding equation.

Week Commencing 24.03.2025 - Solving linear inequalities, using inequality number lines, sketching linear inequalities with shading


END OF TERM 2 break (3 weeks)

Week Commencing 21.04.2025 - Perimeter and area of 2D shapes, including compound shapes and circles.

Week Commencing 28.04.2025 - Circumference and area of circles including compound shapes, arc lengths and areas of sectors, tessellations and rotational symmetry

Week Commencing 05.05.2025 - Fractions Decimals and Percentage problems

Week Commencing 12.05.2025 - Solving simultaneous equations using elimination method

Week Commencing 19.05.2025 - Solving simultaneous equations using substitution method. Introduction to solving simultaneous equations graphically

Mid-TERM 3 break (1 week)

Week Commencing 02.06.2025 - Simple probability, venn diagrams and sets

Week Commencing 09.06.2025 - Simple probability, listing outcomes, sample space diagrams, tree diagrams

Week Commencing 16.06.2025 - Advanced probability, two way tables, independent and dependent events, conditional probability

Week Commencing 23.06.2025 - Volumes of prisms and pyramids, Surface areas of 3D solids

Week Commencing 30.06.2025 - Introduction into vectors

Week Commencing 07.07.2025 - Graphs: Linear, Quadratic, Cubic, Exponential, Reciprocal, Trigonometric


END OF TERM 3 - break for SUMMER


Week Commencing 03.09.2025 - Introduction into functions and composite functions

Week Commencing 10.09.2025 - Introduction into circle theorems

Topics for the rest of the year include (and will be updated - as we progress through the year):

Planning collecting, sampling and statistical calculations (inc. grouped data)
Rearranging Formulae
Trigonometry
Converting Metric units with Metric & Imperial units
Linear sequences (nth term)
Representing and Interpreting data
Ratio and proportion
Angles around parallel lines
Angles around polygons (interior and exterior)
Fractions
Percentages
Decimals
Transformations
Linear Graphs
Inequalities
Shape - Perimeter, Area, Volume, Compound shapes, Tessellations, Prisms
Simultaneous Equations
Scatter Diagrams (Bivariate Data)
Probability
Bearings and scale drawings