MATHEMATICS CONTINUUM NUMBER Year 7 Year 13 Know times tables to 12 Use simple mental Know the first ten Calculate mentally with × 12 methods for calculation squares, square roots more advanced and cubes strategies Use efficient and neat Use efficient and neat Use efficient written written methods for written methods for methods accurately for addition and subtraction simple multiplication calculations such as 264 and division × 36 and 630 ÷ 14 Work with simple Add, subtract, multiply Calculate with more Calculate with improper fractions such as halves and divide simple complicated fractions fractions and mixed and quarters fractions such as 1/5 + 2/3 numbers Round to the nearest Round to the nearest Make sensible estimates Round to the nearest Work informally with Calculate upper and 10, 100 or 1000 decimal place to calculations and give 1st, 2nd or 3rd numbers of any lower bounds for values justifications for these significant figure magnitude making and calculations accurate estimates and approximations Calculate simple Calculate percentages of Efficiently calculate Calculate any Use percentages to Use percentages to percentages of quantities such as 15% percentages of percentage of any solve problems involving calculate percentage quantities, e.g., 10% of of 120 quantities using a quantity including 16.5% interest rates and other error 65 calculator of 82.3 real life contexts Work with numbers in Calculate with numbers Use a calculator standard form in standard form efficiently with numbers in standard form Know and use simple Know and use index Know what a logarithm Use laws of logs and index laws laws involving fractional is and what they are solve equations and negative powers used for involving logs and exponentials Order decimals Order fractions Convert between Order a mixture of fractions, decimals and fractions, decimals and percentages percentages Understand simple ratio Simplify a ratio Divide a ratio in a Solve problems where Solve problems linked to Solve problems notation quantity the quantities are in exchange rates and involving inverse or direct proportion other real life contexts square proportion
MATHEMATICS CONTINUUM NUMBER Year 7 Year 13 Know times tables to 12 × 12 Use simple mental methods for calculation Know the first ten squares, square roots and cubes Calculate mentally with more advanced strategies Use efficient and neat written methods for addition and subtraction Use efficient and neat written methods for simple multiplication and division Use efficient written methods accurately for calculations such as 264 × 36 and 630 ÷ 14 Work with simple fractions such as halves and quarters Add, subtract, multiply and divide simple fractions Calculate with more complicated fractions such as 1/5 + 2/3 Calculate with improper fractions and mixed numbers Round to the nearest 10, 100 or 1000 Round to the nearest decimal place Make sensible estimates to calculations and give justifications for these Round to the nearest 1st, 2nd or 3rd significant figure Work informally with numbers of any magnitude making accurate estimates and approximations Calculate upper and lower bounds for values and calculations Calculate simple percentages of quantities, e.g., 10% of 65 Calculate percentages of quantities such as 15% of 120 Efficiently calculate percentages of quantities using a calculator Calculate any percentage of any quantity including 16.5% of 82.3 Use percentages to solve problems involving interest rates and other real life contexts Use percentages to calculate percentage error Work with numbers in standard form Calculate with numbers in standard form Use a calculator efficiently with numbers in standard form Know and use simple index laws Know and use index laws involving fractional and negative powers Know what a logarithm is and what they are used for Use laws of logs and solve equations involving logs and exponentials Order decimals Order fractions Convert between fractions, decimals and percentages Order a mixture of fractions, decimals and percentages Understand simple ratio notation Simplify a ratio Divide a ratio in a quantity Solve problems where the quantities are in direct proportion Solve problems linked to exchange rates and other real life contexts Solve problems involving inverse or square proportion