Headteacher - Mr Andy English
All Saints Catholic High School 6-16 Amhurst Park London N16 5AFIn Key Stage 3 Mathematics at All Saints, students become fluent in the fundamentals of mathematics through frequent practice in order to develop a greater understanding of mathematical concepts. They also improve their ability to reason mathematically by following a line of enquiry, and developing an argument, justification or proof using mathematical language. In this way, they are taught to solve problems by applying their mathematics to a variety of problems with increasing sophistication, including breaking down problems into a series of simpler steps to seek solutions.
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Autumn term |
Number Factors, multiples, HCF, LCM, Prime numbers, prime factor decomposition. Negative Numbers Ordering, adding, subtracting, multiplying, dividing with directed numbers. Formal methods of calculation All operations with integers. Algebra Writing expressions, simplifying expressions, expanding brackets, factorising expressions, substitute into expressions. Equations and sequences Solving equations, forming and solving, extending sequences, describing sequences using the nth term, generating sequences. Inequalities Describing using inequalities, listing using inequalities, solving with inequalities. |
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Spring term |
Shapes Naming shapes, features of shapes, regular, parallel, perpendicular, symmetry, rotational symmetry, 3d shapes. Coordinates Plotting, reading, midpoints, vertical and horizontal lines. Decimals Place value, compare decimals, 4 operations with decimals, conversions. Angles Classifying, measuring, drawing, basic angle rules, angles in polygons. Fractions Simplifying, equivalence, ordering, 4 operations. |
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Summer term |
Area and perimeter Calculate the area and perimeter of everyday objects. Calculate the area and perimeter of shapes: Square, rectangles, triangles, compound shapes, trapezium & parallelogram. Percentages Percentage of amounts, percentages increase/decrease, percentages change. Proportionality Direct proportion, unit scales, best value, conversion graphs and scaling. Probability Listing outcomes of events, probability scale, calculating probability of simple events, estimating occurrences of events |
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Autumn term |
Number Factors, multiples, HCF, LCM (including worded questions), Prime numbers, prime factor decomposition, to find HCF and LCM. Algebra Expanding single brackets and double brackets, factorising expressions, substitution into expressions and equations. Equations Solving equations including unknowns on both sides, equations with brackets, forming equations (link to other topics e.g.area/perimeter/angles). Representing data Displaying and interpreting data in the form of bar charts, pictograms, line graphs, pie charts, scatter graphs and stem & leaf diagrams. Fractions, Decimal and Percentages (FDP) Compare and order fractions, +,-, x and division of fractions, rounding by decimal places and significant figures ,estimate values, percentage change, percentage of an amount, increasing/decreasing by percentage, conversion between fractions, decimals and percentages.
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Spring term |
Area and Perimeter Area and perimeter of 2D shapes including area of triangle, trapezium, parallelogram, compound shapes, shaded regions, and functional area and perimeter with the use of fractions, decimals and percentages. Angles Solving interior and exterior angle problems with polygons. Transformations Learning how to complete and describe reflections, rotations, translations and enlargements. Graphs Draw vertical and horizontal lines, plot and draw graphs of the form y = mx +c, gradient of straight lines, real life graphs. Ratio and Proportion Simplifying ratios, express ratio as fractions and reverse. Sharing quantities in a given ratio (total, parts, difference). Simple direct and inverse proportion problems, unitary method, scaling. |
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Summer term |
Averages Finding averages and range from raw data & frequency tables Probability Finding the probability of mutually exclusive events, looking at theoretical vs experimental probability. Probabilities of combined events. Be able to create and interpret venn diagrams. Volume (Prisms) Looking at the volume of cubes, cuboids and other prisms. Construction and scale drawings Using mathematical equipment correctly to draw triangles using SSS, ASA & SAS. Solving scaling problems with use of maps and bearings. Pythagoras Calculating the length of the hypotenuse in a right-angles triangle, calculating the length of the shorter side in the right-angles triangle |
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Autumn term |
Indices Simplifying and evaluating using index laws, fractional and negative indices. Standard form Converting between ordinary numbers and standard form. Completing the 4 key mathematical operations with standard form numbers. Sequences Extending, describing (Words and nth term) and generating sequences - Linear and quadratic. Algebra Expanding and factorising with single brackets. Expanding and factorising with double brackets. Straight line graphs Understanding gradients in detail, knowing and applying equations of straight lines in the form y = mx + c. Understanding gradients and applying to parallel and perpendicular lines. Circle geometry Work out the area and circumference of circles, and standard fractions of circles. |
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Spring term |
Angles Learning how to solve angle problems on parallel lines and integrating angle rules learnt in previous years. Probability Finding the probability of combined events using tree diagrams with independent and dependent events. Transformations Learning how to complete and describe reflections, rotations, translations and enlargements. Percentages Percentages of amounts, multipliers, compound and simple interest, expressing percentages, reverse percentages. Ratio & Proportion Solving problems with ratios, combining ratios, expressing ratios as percentages and fractions. Solving direct and inverse proportion problems. |
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Summer term |
Pythagoras & Trigonometry Solving missing length problems using pythagoras’ theorem. Understand trigonometric ratios, apply to find missing sides and angles on right angled triangles. Similar Shapes Solve similar triangles and similar shapes length problems. Extend understanding onto areas and volumes of similar shapes. Averages Averages and range from raw data and tables Construction and Loci Be able to construct perpendicular and angle bisectors. Be able to apply constructions to solve Loci problems. |
| Qualification Gained | GCSE |
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| Board | Edexcel (1MA1) |
| Potential Tiers of Entry | Higher and Foundation |
This course will build on the content, knowledge and skills developed in Mathematics during Key Stage 3. Students will develop confidence and familiarity with the use of a range of skills in Number, Algebra, Geometry & Measures, Statistics & Probability and Ratio, Proportion and Rates of Change, all of which they will study in Year 10 and 11 . The GCSE curriculum will also emphasise the need to develop several skills including: application, reasoning, fluency in Mathematics and being able to solve problems efficiently. Furthermore, the subject knowledge and evolution of skills are all underpinned by Mathematics being utilised in real life contexts that educate students in financial literacy, patterns in data, hence enriching their transferable skills.
Students are assessed solely through a terminal assessment of which there are 3. Each paper accounts for 33% of the GCSE weighting and is 90 minutes long. Students are expected to complete the first paper without a calculator, but are permitted to use one for the following exams.
Foundation Higher
A01 (Knowledge) 50% 40%
A02 (Reasoning) 25% 30%
A03 (Problem solving) 25% 30%
Students need to develop key Mathematical skills, for example, calculating percentages, solving equations, drawing graphs, accurate drawing and analysing data. Then they need a good imagination and reasoning to apply these skills to problem solving. Finally they need good communication skills to explain and reflect upon their solutions.
Mathematics is the language of science and technology. It disciplines the mind, develops logical and critical reasoning and it develops analytical and problem-solving skills. People with Mathematical skills are highly sought after.
EDEXCEL GCSE (9-1) HIGHER STUDENT BOOK ISBN 9781447980209
EDEXCEL GCSE (9-1) FOUNDATION STUDENT BOOK ISBN 9781447980193
EDEXCEL GCSE (9-1) HIGHER STUDENT WORKBOOK ISBN 9781447987932
EDEXCEL GCSE (9-1) FOUNDATION STUDENT WORKBOOK ISBN 9781447987925
Mathswatch Online ResourceCorbettmaths Online Resource
| Subject Leader | Mr D Gadhvi |