MATHEMATICS Area under a graph Proving statements algebraically

MATHEMATICS Area under a graph Proving statements algebraically Constructing proofs EXAM REVISION Algebra 5 Proof Understanding Speed, distance time graphs Algebra 4 -Real life Graphs - Rates of Change Sine Rule, Cosine Rule Area of non-right-angle Triangles Geometry and Measure 4 - Advanced Trigonometry -Vectors Function machines Inverse and composite functions Algebra 3 -Functions -Iteration -Transforming graphs Using iterative processes to find roots High er Those students in the top set in year 11 will have worked through the GCSE content at a faster rate than the other sets studying the higher syllabus and will predominantly study Further GCSE maths in year 11. They will sit both exams at the end of year 11 Gradient Translating, YEAR of a stretching and reflecting Prime Using Pythagoras curve Using Vectors to solve Converting between numbers, graphs using function Using SOHCAHTOA to theorem Inc. in standard form and ordinary geometric problems HCF, LCM, notation find sides and angles. context END OF numbers. Calculations using Prime factor Exact trig values Using ratio in calculations standard decomposition YEAR G &M 4 form Number 2 Ratio and Number 3 MOCK -Area and Algebra 3 Multiples Proportion 1 -Indices Perimeter EXAM REVISION - Solving and - Ratio and -Standard Algebra 2 -Pythagoras equations factors STUDENTS CAN ELECT TO proportion form Solving -Graphs of -Trigonometry STUDY FOR AN EXTRA Finding increasingly Calculating Circles Best buy GCSE IN STATISTICS, Venn powers and roots, using complex areas of 2 D shapes including Solving linear, quadratic and - Linear and problems WHICH IS STUDIES IN diagrams and order of operations simultaneous reverse problems and compound Finding simultaneous equations Direct and inverse quadratic Volume and SA AFTER SCHOOL LESSONS probability equations shapes Drawing and Calculating areas and perimeters and using simultaneous proportion of spheres, cones, THE EXAM IS SAT AT THE Identifying, sketching trees Without graphically and interpreting the equations of arcs and sectors frustums and Capture/ END OF YEAR 10 and plotting graphs replacement algebraically histograms equation composite recapture of a circle G&M 3 shapes S&P 2 G&M 2 Algebra 1 Geometry and -Volume and Statistics and -Histograms -Similarity and -Drawing Measure 1 algebra Year 10 sees probability 1 -Cumulative Congruence Finding graphs -Arcs and Sectors -Bounds and -Conditional the students frequency and - Complex tangents to Algebra 2 -Solving -Circle Theorems Finding compound Probability boxplots continuing Transformations circles -Algebraic quadratics Solving the upper measure with their KS 4 Learning manipulation Negative Construct Proving Quadratics and lower GCSE studies, and fractional and interpret Mean, median, and proving circle similarity and graphically, by bounds of speed and theorems, and Number 1 mode and by now enlargements and cumulative congruence. Using completing the density problems Substitution, simplifying, using them to -Surds and range, Inc. combined frequency students are similarity to square, factorising expanding brackets, Construct, find missing Indices reverse mean transformations graphs and following find sides d and using the factorising measure and an angles and from boxplots either the ve ces, quadratic formula Drawing and sketching linear, i t (inc quadratics) Drawing find bearings frequency h ga di higher or quadratic and Ne al in g wit g and on diagrams tables on atin lisin r i Statistics and cubic graphs Number 1 Geometry and t foundation Algebra 1 interpreting rac lcul iona nato f G&M 3 probability 1 -Rounding Measure 1 G&M 2 -drawing tier course ca rat mi real life graphs o d -Compound -Probability and error -Perimeter, area, -Angles and graphs an en depending on ds the d Measure -Averages and intervals volume and Bearings -Straight line sur their range -Percentages surface area -Transformations graphs Using demonstrated Finding angles in parallel Area and level of Describing Rounding to the new and Calculating density Finding the Basic lines and perimeter of Volume knowledge. and performing; a given original amount using probability trees, Calculating mass and volume polygons to polygons, and SA of midpoint of a line, rotations, reflections This path is degree of percentages, simple speed, distance finding and using Venn diagrams, solve problems circles, sectors prisms, translations and accuracy and compound listing outcomes not a fixed and time and composite pyramids y=mx+c. Identifying and find missing enlargements Inc. combined using interest and using sample thing a parallel lines by gradient angles shapes YEAR and spheres transformations rounded students may spaces values to Coordinates and Graphs move Proportion 3 D Shapes estimate Finding and using the equation of straight Working out best buy problems and using between the Sequences Extending previous work on volume and roots and line graphically. Identifying parallel and proportion in recipes. Introduction to Recognising and continuing different types tiers surface area of prisms, and moving onto calculations perpendicular lines direct and inverse proportion as well as of sequences. Using the nth term to depending on volume and surface area of Year 9 sees the capture recapture method. Algebraic describe and generate more complex attitude, R EA the transition Geometry and Manipulation 2 sequences Y 3 D shapes attainment F O Algebra 4 Measures 4 Recapping the from KS 3 into D M and effort EN EXA Geometry and -Solving Equations Number 5 -2 D Shapes Ratio and previous work on KS 4. It revises Measures 5 - Sequences Percentages -3 D Shapes Proportion 2 algebra and the Construction Proportion extending on to fundamental and Loci 2 D Shapes more difficult Construction and Loci skills needed Recap of perimeter and area then progressing Solving Equations concepts Accurately constructing triangles and for studying Percentages Recap of solving linear equations on to Pythagoras and basic trigonometry perpendicular and angle bisectors using ruler Recap of previous percentages work GCSE Maths progressing onto writing equations and compasses. Solving loci problems and using Fractions, decimals and progressing onto calculating percentage whilst solving simultaneous equations Algebra 3 scale factors on maps and diagrams percentages change, reverse percentages and interest. introducing -Algebraic Revisiting the work done in some of the Arithmetic Revision Manipulation 2 year 7 on fractions and Solving Equations harder topics Transformations A recap of the applying the four operations - Coordinates and extending where Solving progressively more complex Transforming simple 2 D Shapes using integers, decimals and directed number met in KS 4. Graphs 2 appropriate linear equations. Solving reflection, rotation, translation and doing questions in context Students are Inequalities and representing enlargement set and will Coordinates and Number 4 inequalities on a number line be working at Graphs -Arithmetic revision Geometry and Plotting coordinates, YEAR a pace END OF -Powers and Roots Measure 3 Statistics and drawing and naming YEAR appropriate - Fractions, -Angles Probability 3 linear graphs. EXAM decimals and -Transformations for their - Statistics Understanding percentages ability Powers and Roots gradients and using Revisiting the laws and indices y= mx+c Angles Statistics and order of operations and Algebra 2 Year 8 leads Algebraic Manipulation Angles in parallel lines Recap on averages, extending into finding them extending on to standard form -Coordinates and Understanding the difference between an on from year Angles in Polygons from a frequency table. Drawing and interpreting and surds graphs equation, expression, formula and identity. 7 where some two-way tables, pie charts and scatter diagrams -Algebraic Expanding brackets, factorising and topics are Rounding and Estimation manipulation simplifying algebra 3 D Shapes revisited and Rounding to given numbers of -Solving Identifying 3 D shapes and being able to extended, and decimal places and significant figures Equations introducing volume and surface area of some topics and using rounded values to make Prisms Geometry and are estimations Statistics and Ratio and Measure 2 introduced for Probability 2 Proportion 1 Probability -Length and Area the first time. - Probability Introduction to Describing probability in - 3 D shapes ratio All students words and numerically. - Compound are now set Listing outcomes and using Compound Measure Number 3 Measure so access to Venn diagrams Length and Area Reading from distance time graphs and speed time -Indices, Multiples and Primes A recap on area of triangles and the support, graphs. Calculating speed, distance and time. multiples and Introduction to Ratio Using the Laws of Indices as quadrilaterals then moving on to find Calculating density, mass and volume primes core and Understanding what well as looking at special types the circumference and area of a Rounding and ratios are. How to extension circle Fractions decimals and Percentages Estimation simplify ratios. Share in of numbers such as squares content will and primes and revisits HCF Converting between equivalent fractions, given ratios and use be tailored to Introduction to Algebra and LCM decimals and percentages. ratio in real life context the class An introduction to the concept of algebra and the Ordering F, D and P’s. Finding Fractions and YEAR main skills used including simplifying, substitution, percentages of amounts. Fractions Algebra 1 writing expressions and sequences The primary Understanding what a - Order of Statistics and END OF fraction is. Ordering focus of year 7 operations Probability 1 YEAR EXAM fractions, simplifying is to ensure all - Introduction to - Working with fractions. Adding, students have a Algebra data subtracting, multiplying solid Working with Data and dividing with understanding Calculate and interpret the three averages and the fractions including of the key skills Order of Operations range. Drawing and interpreting graphs, Using mixed numbers The Four operations Number 2 needed to Applying priority laws to simple and frequency tables. Ensuring all students are confident with written - Fractions progress to KS 4 complex calculations involving all four and mental methods of subtraction, addition, - Fractions, decimals operations, brackets and indices and beyond. At multiplication and division. This unit also looks at Geometry and percentages KS 3 Students Number 1 HCF and LCM and methods of finding them Measure 1 YEAR will primarily - Understanding -Perimeter, area follow a core Place Value and units curriculum with - The four operations - Angles and 2 D Shapes - Directed Number the opportunity shapes Measuring and drawing angles. to have Directed Number Identifying different types of Perimeter, area and Units extension work Introducing negative numbers angles. Finding missing angles in Understanding the difference between or support work Understanding Place Value including ordering them, and triangles and quadrilaterals. perimeter and area. Being able to calculate the where needed. Consolidates the basic skills learnt at primary school. using the four operations in Classifying triangles and perimeter and area of triangles, quadrilaterals It includes understanding decimals, ordering calculations involving negative and quadrilaterals and compound shape. Using and converting numbers, rounding and using powers of 10. positive numbers between metric measure FINAL GCSE EXAMS 11 SETS 1 (& 2) ation Found 10 9 8 7