Year 6 Objectives: Number NUMBER AND PLACE VALUE Objective 1: Read, write, order and compare numbers to 10,000,000 and determine the value of each digit Revise reading and writing numbers to: 1000 and then to 100,000 *1 Read and write numbers to 1,000,000 Read and write numbers to 10,000,000 *2 Recognise the value of each digit up to 10,000,000 Know and use terms: units; tens, hundreds, thousands, ten thousands, hundred thousands, one million and ten million correctly Partition any number up to 10,000,000 showing the value of each digit Objective 2: Round any whole number to a required degree of accuracy Round any 7-digit number to the nearest million Round any 6-digit number to the nearest hundred thousand Round any 5-digit number to the nearest ten thousand Round any 4-digit number to the nearest thousand Round any number to the nearest degree of accuracy © Focus Education (UK) Ltd 2014

Year 6 Objectives: Number 2 NUMBER AND PLACE VALUE Objective 3: Use negative numbers in context , and calculate intervals across zero Interpret temperatures at minus ⁰C on a thermometer *1 Calculate the interval from - 20 to + 100 Calculate the interval from + 30 to -30 *2 Objective 4: Solve number and practical problems that involve all of the above Calculate the answer to any given problem involving the above ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION Objective 5: Add and subtract negative integers (Non Statutory) Add any 2 negative numbers together Know what happens when subtracting a negative number form another negative number Objective 6: Multiply multi-digit numbers up to 4-digits by a 2-digit whole number using the formal written method of long multiplication Revise multiplication of HTU x U *1 Revise multiplication of ThHTU x U Multiply 4-digit numbers by a 2-digit number using grid method or another conventional method *2 © Focus Education (UK) Ltd 2014

Year 6 Objectives : Number 3 ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION Objective 7: Divide numbers up to 4-digits by a 2-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context Revise division of numbers with up to 4-digits by a single-digit number with and without remainders *1 Divide numbers with up to 4-digits by a 2-digit number up to 20 without remainders *2 Divide numbers with up to 4-digits by a 2-digit number up to 20 with remainders *3 Express remainder as a fractional value of the number divided by Divide numbers with up to 4-digits by any 2-digit number with and without remainders Use rounding up to express answers as a whole number *4 ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION Objective 8: Divide numbers up to 4-digits by a 2-digit number using the formal written method of short division where appropriate , interpreting remainders according to the context Divide numbers with up to 4-digits by a 2-digit number without remainders Divide numbers with up to 4-digits by a 2-digit number with remainders Objective 9: Perform mental calculations, including with mixed operations and large numbers Perform mental calculations with large numbers Perform mental calculations which require at least two different operations, eg. addition and multiplication © Focus Education (UK) Ltd 2014

Year 6 Objectives : Number 4 ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION Objective 13: Solve problems involving addition, subtraction, multiplication and division Solve word problems involving addition with numbers up to 10,000,000 *1 Solve word problems involving subtraction with numbers up to 10,000,000 *2 Solve word problems involving multiplication with numbers up to 10,000,000 *3 Solve word problems involving division with numbers up to 10,000,000 Solve word problems with mixed operations with numbers up to 10,000,000 *4 Objective 14: Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy Know when it is appropriate to represent an answer to a given problem as a fractional value rounded to the nearest whole number value Estimate the answer to a problem before working it out and use the estimation to check on accuracy of problem solving ADDITION, SUBTRACTION, MULTIPLICATION AND DIVISION Objective 10: Identify common factors, common multiples and prime numbers Know the common factors of any 2 given numbers Know the common multiples of any 2 given numbers Know all prime numbers Objective 11: Use their knowledge of the order of operations to carry out calculations involving the four operations Objective 12: Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why © Focus Education (UK) Ltd 2014

Year 6 Objectives : Number 5 FRACTIONS (INCLUDING DECIMALS AND PERCENTAGES) Objective 15: Use common factors to simplify fractions; use common multiples to express fractions in the same denomination Find the greatest common factor to simplify fractions Know how to use common multiples to express fractions in the same denomination Objective 16: Multiply simple unit fractions and pairs of proper fractions, writing the answer in its simplest form Multiply a whole number with a fraction *1 Multiply a whole number with a fraction and give answer in its simplest form Multiply 2 simple fractions together and give answer in its simplest form *2 Turn mixed fractions into an improper fraction Multiply 2 mixed fractions and write answer in its simplest form *3 FRACTIONS INCLUDING DECIMALS AND PERCENTAGES) Objective 17: Divide proper fractions by whole numbers Divide a proper fraction by a whole number Divide a proper fraction by a whole number and give answer in its simplest form Objective 18: Associate a fraction with division to calculate decimal fraction equivalents, e.g. 0.375 for a simple fraction ⅜ Know that 1/10 can be represented as 0.1 *1 Know that ¼ can be represented as 0.25 Know that ¾ can be represented as 0.75 Know all the decimal fraction equivalents for fractional values where the denominator is 3, 4, 5, 6, 8 or 10 © Focus Education (UK) Ltd 2014

Year 6 Objectives : Number 6 FRACTIONS (INCLUDING DECIMALS AND PERCENTAGES) Objective 19: Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions Revise addition and subtraction of fractions with the same denominator *1 Work out common denominator for a pair of fractions with different denominators, e.g. ⅔ and ⅗ Add 2 fractions with different denominators *2 Add 2 mixed numbers where the fractional values have different denominators *3 Subtract 2 fractions with different denominators Subtract 2 mixed numbers where the fractional values have different denominators *4 Objective 20: Multiply simple pairs of proper fractions, writing the answer in its simplest form, e.g. ¼ x ½ = 1/8 Multiply 2 simple fractions together and give the answer in its simplest form FRACTIONS (INCLUDING DECIMALS AND PERCENTAGES) Objective 21: Recall and use equivalences between simple fractions, decimals and percentages including in different contexts Revise that 1/10 can be represented as 0.1 and use this to solve problems Revise that ¼ can be represented as 0.25 and use this to solve problems Revise that ¾ can be represented as 0.75 and use this to solve problems Revise all the decimal fraction equivalents for fractional values where the denominator is 3, 4, 5, 6, 8 or 10 and use this to solve problems © Focus Education (UK) Ltd 2014

Year 6 Objectives : Number 7 DECIMALS Objective 22: Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places Know the value of each digit in a decimal fraction which has up to 3 decimal places *1 Know that when multiplying a decimal fraction by 10 the decimal point moves one place to the right, e.g. 3.457 x 10 = 34.57 *2 Know that when multiplying a decimal fraction by 100 the decimal point moves two places to the right, e.g. 3.457 x 100 = 345.7 Know that when multiplying a decimal fraction by 1000 the decimal point moves three places to the right, e.g. 3.457 x 100 = 3457 Know that when dividing a decimal fraction by 10 the decimal point moves one place to the left, e.g. 567.234 ÷ 10 = 56.7234 *3 Know that when dividing a decimal fraction by 100 the decimal point moves two places to the left, e.g. 567.234 ÷ 100 = 5.67234 Know that when dividing a decimal fraction by 1000 the decimal point moves three places to the left, e.g. 567.234 ÷ 1000 = 0.567234 DECIMALS Objective 23: Multiply one-digit numbers with up to two decimal places by whole numbers Multiply a decimal fraction with up to 2 decimal places by a single-digit number *1 Multiply a decimal fraction with up to 2 decimal places by a 2-digit number *2 Divide a decimal fraction with up to 2 decimal places by a single-digit number *3 Divide a decimal fraction with up to 2 decimal places by a 2-digit number *4 Objective 24: Use written division methods in cases where the answer has up to two decimal places Objective 25: Solve problems which require answers to be rounded to specified degrees of accuracy © Focus Education (UK) Ltd 2014

Year 6 Objectives : Number 8 RATIO and PROPORTION Objective 26: Use percentages for comparison and calculate percentages of whole numbers or measures, .g. 15% of 360 Recognise 50% as being a half of the original value *1 Recognise 25% as being a quarter of the original value Recognise 75% as being three quarters of the original value Recognise 10% as being a tenth of the original value Know that to find 1% of a value you divide by 100 Find 25%, 50% and 75% of any given value Find 10%, 20%, 30%, etc. of a given value Find any percentage of a given value, eg, 18% of 360 *2 RATIO AND PROPORTION Objective 27: 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 similar shapes where the scale factor is known or can be found Objective 28: Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples. © Focus Education (UK) Ltd 2014

Year 6 Objectives : Number 9 ALGEBRA Objective 29: Use simple formulae Write rules algebraically for known relationships like p = 4s for finding out the perimeter of a square Objective 30: Generate and describe linear number sequences Continue a linear number sequence involving positive and negative numbers *1 Continue a linear number sequence involving fractions *2 Continue a linear number sequence involving decimal fractions *3 Objective 31: Express missing number problems algebraically Write known rules algebraically, e.g. a + b = b + a Work out equations involving missing amount, e.g. If 2x -1 = 9, what is x? Work out calculations when given value of 2 letters, e.g. What is 2a + 3b if a =2 and b = 5? Objective 32: Find pairs of numbers that satisfy an equation with two unknowns Objective 33: Enumerate possibilities of combinations of two variables © Focus Education (UK) Ltd 2014