1. 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
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2. 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
Calculate the interval from 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
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3. 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
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4. 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
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5. 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 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
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6. 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
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7. 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 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 x 100 = 345.7
Know that when multiplying a decimal fraction by 1000 the decimal point moves three places to the right, e.g x 100 = 3457
Know that when dividing a decimal fraction by 10 the decimal point moves one place to the left, e.g ÷ 10 = *3
Know that when dividing a decimal fraction by 100 the decimal point moves two places to the left, e.g ÷ 100 =
Know that when dividing a decimal fraction by 1000 the decimal point moves three places to the left, e.g ÷ 1000 =
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
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8. 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.
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9. 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
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