Why learn Maths?
Studying maths helps us find patterns and structure in our lives. Practically, maths helps us work with money, create graphics, design websites, build skyscrapers and generally understand how things work or predict how they might change over time.
It could be said that mathematics is fundamental in the education of children since maths teaches them to think. It develops our reasoning, helping us to think quickly and analytically and its use can be applied in your day to day life. If you are able to understand mathematics and arrive at logical solutions, you will be able to solve real life problems.
Maths is so much more than just a compulsory subject – the career possibilities can be endless. The benefits that having a good understanding of maths can provide students in the future, such as a bigger college choice and a better paying job in their profession, are endless.
Mathematics is essential in a world of constant change. Mathematics appears in art, music, science, engineering, statistics, education, technology and more. New technologies are changing the way we work and live and mathematics can be very useful in understanding how and why things work the way they work. The combination of a skills shortage and a growing need for maths skills means more and more employers are on the lookout for budding mathematicians!
Maths Curriculum Overview
Please click the year group and half-term to view additional information.
| Transition Unit |
| Knowledge |
| The 'Growth Zone' model Strategies to overcome feeling 'stuck' |
| Skills / application of knowledge |
| Problem solving tasks and demonstrating mathematical resilience through sustained effort. Working systematically |
| Links to prior learning |
| Tasks/problems based upon the KS2 National Curriculum |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Place Value |
| Knowledge |
| Place value up to 1 billion and thousandths. Definitions of terminating, recurring and irrational numbers. |
| Skills / application of knowledge |
| Order integers and decimals Use inequality symbols Round to decimal places and significant figures |
| Links to prior learning |
| KS2 [Y6] Read, write, order and round numbers to 10,000,000 and determine digit values KS2 [Y6] Round any whole number to a required degree of accuracy |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Calculations |
| Knowledge |
| Order of operations rules/priorities The effect of dividing by numbers between 0 and 1 |
| Skills / application of knowledge |
| Fluently execute four operations with decimals Peform short division Use mental doubling/halving |
| Links to prior learning |
| KS2 [Y6] Formal written methods for four operations Y7 [U1] Understanding place value columns |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Negative Numbers |
| Knowledge |
| Directed number concepts Rules for multiplying and dividing negative integers |
| Skills / application of knowledge |
| Add, subtract, multiply and divide with negative numbers fluently. |
| Links to prior learning |
| KS2 [Y6] Calculate intervals across zero on a number line KS2 [Y6] Use negative numbers in context |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Fractions |
| Knowledge |
| Definitions of numerator, denominator, proper, improper and mixed numbers |
| Skills / application of knowledge |
| Convert between improper fractions and mixed numbers Simplify fractions The four operations with fractions and mixed numbers |
| Links to prior learning |
| KS2 [Y6] Add/subtract fractions with different denominators KS2 [Y6] Multiplying/dividing fractions Y7 [U2] Calculating with the four operations |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Indices |
| Knowledge |
| Index notation for positive, negative and fractional bases The zero index rule: anything to the power 0 is 1 |
| Skills / application of knowledge |
| Evaluate expressions with indices Apply index laws |
| Links to prior learning |
| KS2 [Y5] Recognise square and cube numbers Y7 [U2] Understanding and using the order of operations |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Introduction to Algebra |
| Knowledge |
| Definitions of variable, term, expression, equations Algebraic notation conventions |
| Skills / application of knowledge |
| Collect like terms Multiply/Divide variables Substitute postive/negative integers into expressions Solving simple equations |
| Links to prior learning |
| KS2 [Y6] Express missing number problems algebraically Y7 [U3] Substituting negative values and calculating with directed number |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Working with Measures |
| Knowledge |
| Metric conversions (length, mass and capacity) Standard form notation |
| Skills / application of knowledge |
| Convert metric units Write large/small numbers in standard form Calculate perimeter of rectilinear/compound shapes |
| Links to prior learning |
| KS2 [Y5&6] Convert standard metric units Y7 [U2] Multiplying and dividing by 10, 100 and 1000 |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Shapes and Area |
| Knowledge |
| Properties of quadrilaterals Formulae for the area of a rectange, triangle, parallelogram and trapezium |
| Skills / application of knowledge |
| Calculate areas of standard 2D and compiund shapes |
| Links to prior learning |
| KS2 [Y6] Area of rectangles/triangles KS2 [Y6] Properties of 2D Shapes Y7 [U2] Multiplying and dividing to calculate areas Y7 [U7] Working with metric units of length |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Fractions Decimals & Percentages |
| Knowledge |
| Relationship between fractions, decimals and percentages |
| Skills / application of knowledge |
| Calculate fluently between fractions, decimals and percentages Calculate percentages of amounts (non-calculator) |
| Links to prior learning |
| KS2 [Y6] Recall simple FDP equivalents Y7 [U1] Understand decimal place value Y7 [U4] Simplifying fractions and finding equivalent fractions |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Expressions |
| Knowledge |
| Expanding and Factorising as inverse operations |
| Skills / application of knowledge |
| Expand single and double brackets Factorise linear expressions Simplify basic algebraic fractions |
| Links to prior learning |
| KS2 [Y6] Use simple formulae in words Y7 [U6] Collecting like terms Y7 [U6] Basic algebraic conventions Y7 [U3] Multiplying and dividing negative integers |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Angles |
| Knowledge |
| Alternate, corresponding and co-interior angles Properties of triangles/quadrilaterals |
| Skills / application of knowledge |
| Calculating missing angles in parallel lines and polygons Geometric reasoning |
| Links to prior learning |
| KS2 [Y5&6) Angles at a point, straight line and in a triangle Y7 [U8] Properties of triangles and quadrilaterals |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Formulae |
| Knowledge |
| Definitions of an expression, equation, formula and identity |
| Skills / application of knowledge |
| Substitute values into formulae Rearrange one and two-step formulae |
| Links to prior learning |
| KS2 [Y6] Express missing numbers algebraically Y7 [U6] Substituting into basic expressions Y7 [U6] Solving one-step equations |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Area, Volume & 3D |
| Knowledge |
| Formulae for circle area and circumference Names and properties of 3D shapes |
| Skills / application of knowledge |
| Calculate the area/perimeter of circles and compound shapes Find volume and surface area of prisms and cylinders |
| Links to prior learning |
| KS2 [Y6] Calculate the volume of cubes and cuboids Y7 [U8] Calculating the area of 2D shapes Y8 [U1] Writing and simplifying algebraic expressions for area |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Forming & Solving Equations |
| Knowledge |
| Use the equals sign to show that two expressions are perfectly balanced |
| Skills / application of knowledge |
| Form equations from worded or geometric contexts Solve multi-step equations (including with unknowns on both sides) |
| Links to prior learning |
| KS2 [Y6] Find pairs of numbers that satisfy an equation Y7 [U6] Solve basic one-step equations using inverse operations Y8 [U1] Expanding brackets and collecting like terms |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Number Theory & Sequences |
| Knowledge |
| Definitions of prime, factor, multiple, HCF, LCM Identifying arithmetic, geometric and Fibonacci sequences |
| Skills / application of knowledge |
| Prime factor decomposition Find HCF/LCM using Venn diagrams Find the nth term of linear sequences |
| Links to prior learning |
| KS2 [Y5] Prime numbers to 100 KS2 [Y5] Common factors and multiples Y7 [U6] Genearting outputs from algebraic rules and flow charts |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Functions, Coordinates & Graphs |
| Knowledge |
| Standard form of a linear graph equation (y = mx + c) |
| Skills / application of knowledge |
| Generate coordinates from a rule Plot linear, quadratic and basic cubic graphs |
| Links to prior learning |
| KS2 [Y6] Describe positions on a 2D grid in 4 quadrants Y8 [U3] Substituting values into formulae to generate sets of coordinates |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Introduction to Statistics |
| Knowledge |
| Qualitative, quantitative, discrete and continuous data types Definitions of mean, median, mode and range |
| Skills / application of knowledge |
| Constructing/interpreting frequency tables, bar charts, pie charts and scatter graphs Calculating averages |
| Links to prior learning |
| KS2 [Y6] Interpret pie charts KS2 [Y6] Calculating the mean Y7 [U2] Using fluent division skills to calculate the mean average |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Non-Calculator Fractions, Decimals & Percentages |
| Knowledge |
| Decimal and integer place value Multiplying/dividing by powers of 10 Concept of reciprocals Equivalence between fractions, decimals and percentages Exact recurring equivalences (Core only) |
| Skills / application of knowledge |
| Order and compare fractions Four operations with mixed numbers Fluently multiply/divide with integers and decimals Solve combined fraction problems Convert recurring decimals to exact fractions (Core only) |
| Links to prior learning |
| KS2 [Y6] Simple FDP equivalences Y7 [U4] Peforming the four operations with fractions Y7 [U9] Converting between fractions, decimals and percentages |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Linear Graphs & Gradients |
| Knowledge |
| The Cartesian coordinate system Viewing the gradient as a rate of change Graphical meaning of the standard form of an equation of a linear graph (y = mx + c) Perpendicular lines (Core only) |
| Skills / application of knowledge |
| Calculate gradient from a grid and two points Find equations of linear graphs Plot lines from a table of values Identify x and y intercepts Interpret real-life graphs Find the equation of a parallel and perpendicular lines (Core only) Use fractional gradients (Core only) |
| Links to prior learning |
| KS2 [Y4-6] Plotting coordinates Y8 [U7] Plotting linear graphs and identifying the y-intercept |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Transformations |
| Knowledge |
| Definitions and notations for translations, rotation, reflection and enlargements Invariant points (Core only) |
| Skills / application of knowledge |
| Perform and fully describe the four transformations Enlarge shapes using fractional scale factors Identify line and rotational symmetry Enlarge shapes using negative scale factors (Core only) Combine multiple transformations (Core only) |
| Links to prior learning |
| KS2 [Y4-5] Translate and reflect simple shapes Y8 [U7] Reading and plotting coordinates accurately in all four quadrants |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Ratio & Proportion |
| Knowledge |
| Ratio notation The relationship between ratio, fractions and percentages Understanding direct proportion Definition of inverse proportion (Core only) |
| Skills / application of knowledge |
| Simplify ratios Share quantities into given ratios (including 1:n) Solve multi-step best-buy and direct proportion word problems Solve inverse proportion word problems (Core only) Express proportionality algebraically (Core only) |
| Links to prior learning |
| KS2 [Y6] Solving unequal sharing problems Y7 [U4] Finding equivalent fractions Y7 [U9] Calculating percentages of amounts |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Angles & Similarity |
| Knowledge |
| Angle facts (straight lines, points, triangles, quadrilaterals and parallel lines) Interior and exterior angle formulae for polygons Conditions for similarity (Core only) |
| Skills / application of knowledge |
| Recognise and measure angles accurately Calculate missing angles in complex, multi-step problems Calculate interior/exterior angles of regular and irregular polygons Investigate tessellations Find missing lengths in similar shapes using scale factors (Core only) Identify ratios within shapes (Core only) Formally prove similarity (Core only) |
| Links to prior learning |
| KS2 [Y6] Angles in regular polygons Y8 [U2] Applying basic angle facts and parallel line rules Y9 [U4] Scaling quantities using proportional reasoning |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Pythagoras & Trigonometry |
| Knowledge |
| Squares and roots Pythagoras' Theorem Naming sides in right-angled triangles Trigonometric ratios |
| Skills / application of knowledge |
| Calculate the hypotenuse and shorter sides using Pythagoras Use trigonometric ratios to calculate missing sides and angles Calculate angles of elevation/depression (Core only) |
| Links to prior learning |
| KS2 [Y3&4] Properties of right-angled triangles Y7 [U5] Squaring numbers and finding square roots Y8 [U5] Subsituting into solving multi-step equations |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Probability |
| Knowledge |
| The probability scale (0 to 1) Probabilities summing to 1 Mutually exclusive events Fair vs. biased events Independent vs Dependent Events (Core only) Set notation for Venn diagrams (Core only) |
| Skills / application of knowledge |
| Systematically list outcomes Construct and interpret sample space diagrams Two-way tables Frequency trees Calculate expected frequency/experimental probability Apply the product rule for counting (Core only) Calculate conditional probability using Venn diagrams (Core only) |
| Links to prior learning |
| Y7 [U4] Adding and multiplying fractions Y7 [U9] Converting decimals and percentages |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Maps & Constructions |
| Knowledge |
| Bearing conventions Map scale ratios Conditions for congruency |
| Skills / application of knowledge |
| Measuring and drawing bearings with a protractor Construct loci (equidistant from points/lines) Bisect lines and angles using compasses Construct perpendiculars Solve map scale problems Using the conditions for congruency Calculate missing bearings using trigonometry and parallel line angle facts (Core only) Constructing triangles (Core only) |
| Links to prior learning |
| KS2 [Y5] Use protractor and ruler Y8 [U2] Measure and draw angles accurately with a protractor |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Percentages & Calculations |
| Knowledge |
| Order of operations rules Percentage change concepts Decimal multipliers for percentage increase/decrease (Core only) |
| Skills / application of knowledge |
| Express one number as a fraction/percentage of another Calculate fractions/percentages of amounts (non-calculator) Solve multi-step word problems involving fractions and percentages of amounts Calculate compound interest and repeated percentage change (Core only) Solve reverse percentage problems (Core only) |
| Links to prior learning |
| KS2 [Y5-6] Simple percentages Y7 [U9] Converting percentages to decimals to use as multipliers |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Indices & Standard Form |
| Knowledge |
| Basic index laws Standard form format |
| Skills / application of knowledge |
| Convert numbers to/from standard form Calculate with standard form |
| Links to prior learning |
| KS2 [Y5] Multiplying/dividing by powers of 10 Y7 [U5] Evaluating positive powers and basic index laws Y7 [U7] Using standard form notation for very large and small numbers |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Algebraic Expressions |
| Knowledge |
| Definitions of variables, terms, and expressions |
| Skills / application of knowledge |
| Collect like terms Expand single brackets Factorise single brackets |
| Links to prior learning |
| Y7 [U6] Collecting like terms Y8 [U1] Expanding single brackets and simplifying expressions |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Percentages (Calculator Methods) |
| Knowledge |
| Decimal multipliers for common percentages |
| Skills / application of knowledge |
| Calculate percentage of amounts Percentage change Simple interest using multipliers |
| Links to prior learning |
| Y7 [U9] Finding percentages of amounts Y9 [U9] Finding fractions and percentages of amounts |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Averages, Range and Presenting Data |
| Knowledge |
| Definitions of mode, median, mean and range |
| Skills / application of knowledge |
| Constructing/interpreting stem-and-leaf diagrams, frequency polygons and composite bar charts |
| Links to prior learning |
| Y8 [U8] Calculating the mean, mode, mode and range from lists of raw data |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Substitution, Formulae & Equations |
| Knowledge |
| Rules of balancing equations using inverse operations |
| Skills / application of knowledge |
| Substitute positive/negative numbers into formulae Solve one-step and multi-step linear equations |
| Links to prior learning |
| Y8 [U3] Substituting positive and negative numbers into expressions Y8 [U5] Solving one-step linear equations using inverse operations |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Factors, Multiples & Primes |
| Knowledge |
| Prime factor decomposition (Fundemental theorem of arithmetic) |
| Skills / application of knowledge |
| Use prime factor trees Calculate HCF and LCM for larger numbers using Venn diagrams |
| Links to prior learning |
| Y8 [U6] Listing factors and multiples to find the HCF and LCM |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Rearranging Formulae & Sequences |
| Knowledge |
| Difference between arithmetic and geometric sequences |
| Skills / application of knowledge |
| Rearrange simple one/two-step formulae Find the nth term of basic arithmetic sequences |
| Links to prior learning |
| Y8 [U3] Using inverse operations to balance equations Y8 [U6] Generating sequences using term-to-term rules |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Coordinate Geometry & Linear Graphs |
| Knowledge |
| Connection between coordinate pairs and linears rules |
| Skills / application of knowledge |
| Calculate midpoints Find gradients Plot y = mx + c graphs from tables |
| Links to prior learning |
| Y8 [U7] Plotting coordinates in all four quadrants Y9 [U2] Calculating gradients and understanding y = mx + c |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Speed, Distance & Time |
| Knowledge |
| The formula linking speed, distance and time |
| Skills / application of knowledge |
| Calculating average speed/distance/time Interpret distance-time graphs |
| Links to prior learning |
| Y7 [U7] Performing basic unit conversions for time and metric distances |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Indices, Surds & Decimals |
| Knowledge |
| Negative and fractional index laws Multiplication/division rules of surds |
| Skills / application of knowledge |
| Simplify, add and multiply surds Rationalise denominators Compex calculations with standard form |
| Links to prior learning |
| Y7 [U5] Applying basic multiplication and division index laws Y9 [U1] Working with exact recurring decimals |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Algebraic Expressions & Identities |
| Knowledge |
| The difference between an identity and an equation |
| Skills / application of knowledge |
| Expand triple brackets Factorise quadratics Construct algebraic proofs |
| Links to prior learning |
| Y8 [U1] Expanding double brackets and factorising linear expressions |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Circle Theorems |
| Knowledge |
| Alternate segment theorem Angles in the same segment theorem Chord of a circle Tangent of a circle Angles at the centre theorem Angles in a semi-circle theorem Cyclic quadrilateral theorem |
| Skills / application of knowledge |
| Applying the theorems to find missing angles Proof of circle theorems |
| Links to prior learning |
| Y8 [U4] Identifying parts of a circle |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Primes, Bounds & Calculator Methods |
| Knowledge |
| Concepts of upper and lower bounds |
| Skills / application of knowledge |
| Prime factor decomposition Finding the HCF/LCM using prime factors Calculate error intervals Apply upper/lower bounds to complex calculations Calculator skills |
| Links to prior learning |
| Y7 [U1] Rounding numbers to decimal places and significant figures Y8 [U6] Finding prime factor decomposition |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Formulae, Simultaneous Equations & Sequences |
| Knowledge |
| Standard form for the nth term of a quadratic sequence |
| Skills / application of knowledge |
| Solve linear/non-linear simultaneous equations Finding the nth term of quadratic sequences |
| Links to prior learning |
| Y8 [U5] Solving linear equations Y8 [U6] finding the nth term of linear sequences |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Statistics & Probability |
| Knowledge |
| Cumulative frequency Conditional probability rules |
| Skills / application of knowledge |
| Draw/interpret box plots and cumulative frequency curves Use tree diagrams for dependent events |
| Links to prior learning |
| Y8 [U8] Calculating averages and the range Y9 [U7] Using tree diagrams and sample space diagrams |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Quadratics |
| Knowledge |
| The Quadratic Formula Identifying turning points from completed square form |
| Skills / application of knowledge |
| Solve quadratics by factorising, the formula and completing the square Sketch quadratic graphs |
| Links to prior learning |
| Y8 [U1] Factorising linear expressions into single brackets Y10 [U2] Factorising quadratics into double brackets |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Coordinate Geometry |
| Knowledge |
| Equation of a circle, centered at the origin |
| Skills / application of knowledge |
| Find equations of parallel/perpendicular lines Find equations of tangents to circles |
| Links to prior learning |
| Y9 [U2] Finding gradients and equations of straight lines Y9 [U6] Use Pythagoras' Theorem to calculate distances |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Advanced Fractions |
| Knowledge |
| Rules for manipulating algebraic fractions |
| Skills / application of knowledge |
| Add, subtract, multiply, divide and simplify algebraic fractions Solve complex fractional equations |
| Links to prior learning |
| Y7 [U4] The four operations with fractions Y10 [U2] Factorise algebraic expressions |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Ratio & Proportion |
| Knowledge |
| The constant of proportionality Direct and inverse proportion notation |
| Skills / application of knowledge |
| Solve direct/inverse proportion equations involving squares, cubes and roots |
| Links to prior learning |
| Y9 [U4] Simplifying ratios Y9 [U4] Sharing amounts into a ratio Y9 [U4] Solving direct proportion word problems |
| Assessment |
| Assessed Classwork Termly Exams Grid Challenges |
| Half Term 1 |
| Knowledge |
| Definitions of circle parts Formulae for circumference and area Definitions of prism, pyramid Volume formula |
| Skills / application of knowledge |
| Calculate circumference and area Find perimeter and area of fractional circles Calculate arc lengths and sector areas Calculate surface area and volume Solve rates of change proglems Plot and interpret frequency polygons, scatter graphs, time series, stem-and-leaf diagrams and pie charts |
| Links to prior learning |
| Area and perimeter of 2D shapes Basic averages, scatter graphs and pie charts |
| Assessment |
| Assessed Work In Class Assessments Mock Exams |
| Half Term 2 |
| Knowledge |
| Generic equation of a straight line (y = mx + c) Parallel lines have the same gradient General shapes of linear, quadratic, cubic and reciprocal graphs Formulas linking speed, distance and time; density, mass and volume; pressure, force and area Gradients on real life graphs Conditions for congruency and similarity |
| Skills / application of knowledge |
| Find midpoints Plot linear and non-linear graphs Find gradients Find equation of straight lines Identifying roots and turning points Converting units of time Calculate compound measures Plot and interpret real-life graphs Identify and apply scale factors and ratios of similar shapes |
| Links to prior learning |
| Plotting coordinates Linear graphs Speed calculations Recognising similar/congruent shapes |
| Assessment |
| Assessed Work In Class Assessments Mock Exams |
| Halt Term 3 |
| Knowledge |
| Equations of horizontal, vertical and diagonal lines Definitions of vector, scalar and parallel Mutually exclusive, independent and dependent events Theoretical vs experimental probability Set notation |
| Skills / application of knowledge |
| Peform and describe transformations Add, subtract and scale vectors Use sample space and calculate relative frequency Complete probability tree diagrams Produce and interpret Venn diagrams |
| Links to prior learning |
| Basic transformations Basic probability Sample space Tree diagrams |
| Assessment |
| Assessed Work Mock Exams |
| Half Term 4 |
| Knowledge |
| Understanding of a solution pair of simultaneous equations |
| Skills / application of knowledge |
| Solve equations in two variables Solve equations graphically Solve algebraically by elimination Form and solve equations |
| Links to prior learning |
| Solving basic equations |
| Assessment |
| Assessed Work |
| Revision |
| Knowledge |
| Revision of the KS 3&4 Curriculum |
| Skills / application of knowledge |
| Half Term 1 |
| Knowledge |
| General shapes of non-linear graphs Understanding that gradient represents rate of change Equation of a circle centred at the origin Understanding that a radius and tangent are perpendicular Circle theorems Function notation |
| Skills / application of knowledge |
| Calculating averages and range Using the capture-recapture method Plot and compare box plots Plot and interpret cumulative frequency graphs and histograms Plot non-linear graphs Estimate gradients of curves using tangents Estimate area under a curve using trapezia Use the equation of a circle Find the gradient and equation of a tangent Apply circle theorems to find missing angles Proof of circle theorems Simplify, multiply, divide, add and subtract algebraic fractions Evaluate and solve single, composite and inverse functions |
| Links to prior learning |
| Calculating averages and range Basic data representation Plotting coordinates Equation of a straight line Basic angle facts Operations with fractions Factorisation Substitution |
| Assessment |
| Assessed Work In Class Assessments Mock Exams |
| Half Term 2 |
| Knowledge |
| Effect of transformations on graphs/functions Algebraic forms for number properties (evens, odd, consecutive and multiples) Defintion of proof Iteration notation Understanding that a change in sign indicates a root Condtions for congruency |
| Skills / application of knowledge |
| Recognise and transform graphs of linear, quadratic, cubic, circular, trigonometric, reciprocal and exponential functions Represent numbers algebraically and write formal prrofs Use iteration to solve equations Prove congruency |
| Links to prior learning |
| Algebraic manipulation Substitution Recognising similar/congruent triangles |
| Assessment |
| Assessed Work In Class Assessments Mock Exams |
| Half Term 3 |
| Knowledge |
| Vector notations Defintions of scalar, parallel and colinearity |
| Skills / application of knowledge |
| Add, subtract and multiply vectors by scalars Combine vectors geometrically Solve vector problems |
| Links to prior learning |
| Column vectors used in transformations |
| Assessment |
| Assessed Work Mock Exams |
| Revision |
| Knowledge |
| Revision of KS3 & 4 Curriculum |
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