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It also covers algebraic notation and manipulation, substituting into formulae, rearranging equations, functions, graph work including gradients and intercepts, and preparation for solving equations, inequalities and generating sequences, with guidance on calculator and estimation 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knowledge for AQA’s Level 3 Mathematical Studies is all of the content in this booklet.  \nIn addition to this content it is expected that students will:  \n􀁸 be familiar with the knowledge and use of the formula y = mx + c  \n􀁸 be able to find the gradient of a line connecting two different points be familiar with spreadsheet formulae, including:  \n“=A1+A2+A3” to sum values in cells  \n“=2*B3” to multiply a value in a given cell  \n“=SUM(A1:A10)”  \nVersion 1.0, June 2014  \nBasic foundation subject content  \n3.1 Number  \n3.1.1 Structure and calculation  \nN1  \norder positive and negative integers, decimals and fractions use the symbols =, ≠, \u003C, >, ≤, ≥  \nNotes: including use of a number line.  \nN2  \napply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers – all both positive and negative  \nunderstand and use place value (eg when working with very large or very small numbers, and when calculating with decimals)  \nNotes: including questions set in context. Knowledge of terms used in household finance, for example profit, loss, cost price, selling price, debit, credit and balance, income tax, VAT, interest rate.  \nN3  \nrecognise and use relationships between operations, including inverse operations (eg cancellation to simplify calculations and expressions)  \nuse conventional notation for priority of operations, including brackets, powers, roots and reciprocals  \nN4  \nuse the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem  \nNotes: prime factor decomposition including product of prime factors written in index form.  \nN5  \napply systematic listing strategies  \nNotes: including using lists, tables and diagrams.  \nN6  \nuse positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5  \nNotes: including square numbers up to Students should know that and  \n1 million = 106  \nN8  \ncalculate exactly with fractions  \nN9  \ncalculate with and interpret standard form , where  \nand is an integer  \nNotes: with and without a calculator. Interpret calculator displays.  \n3.1.2 Fractions, decimals and percentages  \nN10  \nwork interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and ~~ ~~ or 0.375 and ~~ ~~ )  \nNotes: including ordering.  \nN11  \nidentify and work with fractions in ratio problems  \nN12  \ninterpret fractions and percentages as operators  \nNotes: including interpreting percentage problems using a multiplier.  \n3.1.3 Measures and accuracy  \nN13  \nuse standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate  \nNotes: know and use metric conversion factors for length, area, volume and capacity.  \nImperial / metric conversions will be given in the question.  \nN14  \nestimate answers  \ncheck calculations using approximation and estimation, including answers obtained using technology Notes: including evaluation of results obtained.  \nN15  \nround numbers and measures to an appropriate degree of accuracy (eg to a specified number of decimal places or significant figures)  \nNotes: including appropriate rounding for questions set in context.  \nStudents should know not to round values during intermediate steps of a calculation.  \n3.2 Algebra  \n3.2.1 Notation, vocabulary and manipulation  \nA1  \nuse and interpret algebraic notation, including:  \n• in place of  \n• in place of and  \n• in place of , in place of , in place of  \n• ~~ ~~ in place of  \n• coefficients written as fractions rather than as decimals  \n• brackets  \nNotes: it is expected that answers are given in simplest form without an explicit instruction to d","cbCaitJjDByjfblo","https://ap.wps.com/l/cbCaitJjDByjfblo","pdf",485839,14,"English","# AQA Guidance\n## Assumed knowledge overview\n## Number\n### Structure and calculation\n### Fractions, decimals and percentages\n### Measures and accuracy\n## Algebra\n### Notation, vocabulary and manipulation\n### Graphs\n### Solving equations and inequalities\n### Sequences","[{\"question\":\"What prior knowledge is required for AQA Level 3 Mathematical Studies?\",\"answer\":\"Students are expected to be familiar with all content in the booklet, and in addition with key topics such as using the formula y = mx + c and spreadsheet formulae for summing and multiplication.\"},{\"question\":\"Which number topics are included in the assumed knowledge?\",\"answer\":\"The document specifies operations on integers, decimals and fractions, place value, inverse operations, notation for priority of operations, prime factors and factorisation, systematic listing strategies, powers and roots, exact fraction work, and standard form.\"},{\"question\":\"What algebra and graphing skills are students expected to have?\",\"answer\":\"Students should handle algebraic notation, substitution into formulae, simplifying and rearranging expressions, interpret expressions as functions, work with coordinates and straight-line graphs, and identify gradients and intercepts both graphically and algebraically, including linear and quadratic function graphs.\"}]","AQA Level 3 Mathematical Studies - Assumed Knowledge - Version 1.0, June 2014 | PDF",1792463802,35]