multiply proper fractions and multiply simple pairs of proper of mixed numbers by whole numbers, fractions, writing the answer in supported by materials and its simplest form (e.g. 1/4 × 1/2 = Division diagrams 1/8) multiply one-digit numbers with and up to two decimal places by whole Fractions numbers divide proper fractions by whole numbers (e.g. 1/3 ÷ 2 = 1/6) Multiplication multiply one-digit numbers with up to two decimal places by whole numbers find the effect of dividing a multiply and divide numbers by 10, or two-digit number by 10 and 100 and 1000 where the answers 100, identifying the value of the are up to three decimal places digits in the answer as ones, Decimals tenths and hundredths of identify the value of each digit to three decimal places and multiply Division and divide numbers by 10, 100 and 1000 where the answers are up to and three decimal places associate a fraction with division and calculate decimal fraction Multiplication equivalents (e.g. 0.375) for a simple fraction (e.g. 3/8) use written division methods in cases where the answer has up to two decimal places solve problems that involve all of solve problems involving solve problems involving numbers the above increasingly harder fractions to up to three decimal places calculate quantities, and fractions to divide quantities, including fractions where the answer Solving is a whole number solve simple measure and money solve problems which require problems involving fractions and knowing percentage and decimal Problem decimals to two decimal places. equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those with a denominator of a multiple of 10 or 25. solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of Proportion percentages for comparison and solve problems involving similar Ratio shapes where the scale factor is known or can be found solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
Multiplication and Division of Fractions multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. 1/4 × 1/2 = 1/8) multiply one-digit numbers with up to two decimal places by whole numbers divide proper fractions by whole numbers (e.g. 1/3 ÷ 2 = 1/6) Multiplication and Division of Decimals multiply one-digit numbers with up to two decimal places by whole numbers find the effect of dividing a or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths multiply and divide numbers by 10, 100 and 1000 where the answers are up to three decimal places identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and 1000 where the answers are up to three decimal places associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375) for a simple fraction (e.g. 3/8) use written division methods in cases where the answer has up to two decimal places Problem Solving solve problems that involve all of the above solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including fractions where the answer is a whole number solve problems involving numbers up to three decimal places solve simple measure and money problems involving fractions and decimals to two decimal places. solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those with a denominator of a multiple of 10 or 25. Ratio and Proportion solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison solve problems involving similar shapes where the scale factor is known or can be found solve problems involving unequal sharing and grouping using knowledge of fractions and multiples