Year 8 Year 9 Year 10 Year 10A Investigate index Use index notation with . notation and represent numbers to establish whole numbers as the index laws with products of powers of positive integral indices prime numbers and the zero index value Investigate and use Carry out the four square roots of perfect operations with place square numbers integers, using efficient Apply the associative, mental and written and commutative and strategies and distributive laws to aid appropriate digital Number mental and written technologies computation Compare, order, add and subtract integers. Investigate terminating Solve problems Define rational and and recurring decimals involving direct irrational numbers and Investigate the concept proportion. perform operations with of irrational numbers, Explore the relationship surds and fractional including π between graphs and indices Use the Solve problems equations definition of a logarithm involving the use of corresponding to simple to establish and apply percentages, including rate problems the laws of logarithms percentage increases Apply index laws to numbers and decreases, with and numerical expressions without digital with integer indices Real technologies Express numbers in Solve a range of scientific notation problems involving rates and ratios, with and without digital technologies Solve problems Solve problems Connect the compound involving profit and loss, involving simple interest interest formula to with and without digital repeated applications of financial technologies simple interest using appropriate digital and technologies mathematics Money Extend and apply the Extend and apply the Factorise algebraic Investigate the concept distributive law to the index laws to variables, expressions by taking of a polynomial and expansion of algebraic using positive integral out a common algebraic apply the factor and expressions indices and the zero factor remainder theorems to algebra Factorise algebraic index Simplify algebraic solve problems expressions by Apply the distributive products and quotients and identifying numerical law to the expansion of using index laws factors algebraic expressions, Apply the four Simplify algebraic including binomials, and operations to simple Patterns expressions involving collect like terms where algebraic fractions with the four operations appropriate numerical denominators
Year 8 Year 9 Year 10 Year 10A Number and place value Investigate index notation and represent whole numbers as products of powers of prime numbers Investigate and use square roots of perfect square numbers Apply the associative, commutative and distributive laws to aid mental and written computation Compare, order, add and subtract integers. Use index notation with numbers to establish the index laws with positive integral indices and the zero index Carry out the four operations with integers, using efficient mental and written strategies and appropriate digital technologies . Real numbers Investigate terminating and recurring decimals Investigate the concept of irrational numbers, including π Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies Solve a range of problems involving rates and ratios, with and without digital technologies Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems Apply index laws to numerical expressions with integer indices Express numbers in scientific notation Define rational and irrational numbers and perform operations with surds and fractional indices Use the definition of a logarithm to establish and apply the laws of logarithms Money and financial mathematics Solve problems involving profit and loss, with and without digital technologies Solve problems involving simple interest Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies Patterns and algebra Extend and apply the distributive law to the expansion of algebraic expressions Factorise algebraic expressions by identifying numerical factors Simplify algebraic expressions involving the four operations Extend and apply the index laws to variables, using positive integral indices and the zero index Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate Factorise algebraic expressions by taking out a common algebraic factor Simplify algebraic products and quotients using index laws Apply the four operations to simple algebraic fractions with numerical denominators Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems