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Number Ref Indices and Standard Form PoS Reference Students should be able to: Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 No. of lessons F N6 recall squares of numbers up to 15 x 15 and the cubes of 1, 2, 3, 4, 5 and 10, also knowing the corresponding roots calculate and recognise powers of 2, 3, 4, 5 calculate and recognise powers of 10 understand the notation and be able to work out the value of squares, cubes and powers of 10 recognise the notation √25 solve equations such as x2 = 25, giving both the positive and negative roots. Notes Students should know that 1000 = 10 and 1 million = 10 3 6 Students should know that a square root can be negative. estimate the value of a power of a given positive number estimate the value of the root of any given positive number identify between which two integers the square root of a positive number lies identify between which two integers the cube root of a positive number lies. use index laws for multiplication and division of integer powers calculate with positive integer indices. estimate powers and roots of any given positive number H Calculate with roots and with integer indices AF Notes Students will be expected to apply index laws to simplify algebraic expressions. See A4 (Unit 2 Algebraic Expressions) calculate values using fractional indices calculate with positive and negative integer indices use index laws for multiplication and division of positive, negative and fractional indices. H N7 Calculate with roots and with integer and fractional indices Notes Students will be expected to apply index laws to simplify algebraic expressions. See A4 (Unit 2 Algebraic Expressions) Beverley High School KS4 SOW Y10 N8 Calculate exactly with fractions, surds, and multiples of π; simplify surd expressions involving squares (eg √12 = √4x3 = √4√3 = 2√3) and rationalise denominators H N9 Calculate with and interpret standard form A x10n, where 1 ⩽ A < 10 and n is an integer F Beverley High School simplify surds rationalise a denominator simplify expressions using the rules of surds expand brackets where the terms may be written in surd form solve equations which may be written in surd form. know, use and understand the term standard from write an ordinary number in standard form write a number written in standard form as an ordinary number order and calculate with numbers written in standard form solve simple equations where the numbers are written in standard form interpret calculator displays use a calculator effectively for standard form calculations solve standard form problems with and without a calculator. KS4 SOW Y10