KS3 - Year 8 & 9 Course Outline: Mathematics

Transcription

1 KS3 - Year 8 & 9 Course Outline: Mathematics EFG D C B visualise and use 2D representations of 3D objects G1 N1 N2 enlarge 2D shapes, given a centre of enlargement and a positive whole number scale factor. know that translations, rotations and reflections preserve length and angle and map objects onto congruent images. 4,5, enlarge 2D shapes, given a centre of enlargement and a fractional scale factor add and subtract fractions 5 multiply and divide fractions calculate fractions of quantities (fraction answers) multiply and divide an integer by a fraction 55 use the equivalence of fractions, decimals and percentages to compare proportion 50,58 calculate the result of any proportional change using multiplicative methods calculate percentages and find the outcome of a given percentage increase or decrease

2 KS3 GCSE H construct and solve linear equations with integer coefficients, using an appropriate method A10, A create algebraic expressions, form and solve equations A1 10 divide a quantity into two or more parts using a given ratio N12, N18 94 solve problems involving ratios and proportional reasoning C19, C20 Know and use the formulae for area and circumference of a circle S28,S29 1,2 & calculate lengths and areas of shapes and compound shapes S24,S25, S31 33, 3 calculate lengths, surface areas and volumes of prisms S2,S2, S32 34,122

3 KS3 Year - Course Outline: Mathematics KS3 GCSE F GCSE H Revise understanding of powers, squares, cubes and roots 2, 4 use index notation for multiplication and division, including brackets and zero indices 111 Find the prime factor decomposition of a number, expressed in powers N21 Calculate HCF and LCM N21 revise BIDMAS and estimate the answers to multi-step calculations using the 1sf rule N22, C draw linear (straight line) graphs from a table of values A13, recognise gradient and intercepts for straight line graphs written in the form y=mx+c A24 interpret graphs representing real life situations A14,A15 generate terms in a sequence ; find the nth term of an arithmetic sequence A12

4 KS3 GCSE design a survey or experiment to capture the necessary data from one or more sources D12 84, 134 communicate interpretations and results of a statistical survey using selected tables, graphs and diagrams in support 8-89 suggest a problem to explore using statistical methods, frame questions and raise conjectures; identify possible causes of bias and calculate averages from a frequency table D14 examine critically the results of a statistical enquiry, and justify the choice of statistical representation in written presentation use straight edge and compasses to do standard constructions. S19 80, understand and apply Pythagoras' theorem when solving problems in 2D S find the locus of a point that moves according to a given rule, both by reasoning and by using ICT. S substitute a value into an expression A 110 use the correct order of operations (BIDMAS) and apply it to algebra C multiply a term across a bracket A1a factorise by taking out a common factor A18 multiply out pairs of brackets and simplify A1b

5 Scheme D Unit 5 and KS3 GCSE interpret and explore combining measures into rates of change in everyday contexts (eg. Km/h, pence per metre); S3 12 find and record all possible mutually exclusive outcomes for single events and two successive events in a systematic way D13 90 know that the sum of probabilities of all mutually exclusive outcomes is 1, and use this when solving problems D13 91 understand relative frequency as an estimate of probability and use this to compare outcomes of an experiment D explain how to find, calculate and use: the sums of the interior and exterior angles of quadrilaterals, pentagons, hexagons; interior/exterior angles of regular polygons 0 know the definition of a circle and name its parts; explain why inscribed regular polygons can be constructed by equal divisions of a circle. solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons, justifying inferences and explaining reasoning with diagrams & text. S15, S21 31,, 8, 9 classify quadrilaterals by their geometric properties. S1 solve geometrical problems using properties of angles, of parallel and intersecting lines and of triangles and other polygons. S20 identify alternate and corresponding angles; understand a proof that the sum of the angles of a triangle is 180 o and of a quadrilateral is 30 o. generate terms of sequence, using term-to-term and position-to-term rules on paper, using a spreadsheet/graphics calculator A11 5 generate sequences from practical contexts, write and justify an expression to describe the nth term of an arithmetic sequence A generate terms of a sequence using term-to-term and position-to-term definitions of the sequence, on paper and using ICT; write an expression to describe the nth term of an arithmetic sequence. A find the next term and the nth term of quadratic sequences and functions and explore their properties. A28 use systematic trial and improvement methods and ICT tools to find approximate solutions to equations such as x 2 + x = 20 A21 110