| 8 |
- Calculate the upper and lower bounds of 2-D measurements e.g. area
- Calculate the upper and lower bounds of other compound measurements e.g. density
- Write (3-√3)² in the form a+b√3
- Rationalise a denominator
|
| 7 |
- Use the product rule for counting
- Convert a recurring decimal to a fraction in simple cases
- Understand a recurring decimal to fraction proof
- Find the value of calculations using indices including fractional and negative indices
- Simplify surd expressions
- Use fractions, surds and pi in exact calculations, without a calculator
|
| 6 |
- Use inequality notation to specify simple error intervals due to truncation or rounding
- Estimate powers and roots of any given positive number
- Know that n^□(64&1/2)=√n and n^□(64&1/3)=√(3&n)
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| 5 |
- Calculate with roots
- Write numbers less than 10 in standard form
- Order numbers written in standard form
- Convert large and small numbers into standard form and vice-versa
- Add and subtract in standard form
- Multiply and divide numbers in standard form
- Use percentages in real-life situations: compound interest, depreciation, percentage profit and loss
- Calculate repeated proportional change
- Use calculators for reverse percentage calculations by doing an appropriate division
|
| 4 |
- Find the reciprocal of simple numbers and fractions
- Use the correct order of operations for expressions with powers and brackets in both the numerator and denominator of a fraction
- Understand and use compound measures: density, pressure and speed
- Round numbers and measures to an appropriate degree of accuracy (dp or sf)
- Find HCF and LCM using Prime Factors
- Use prime factorisation to represent a number as a product of its primes using index notation
- Use the square, cube and power keys on a calculator
- Know the index law for negative powers
- Convert between currencies
- Write numbers greater than 10 in standard form
- Write lengths, areas and volumes of two shapes as ratios in simplest form
- Estimate conversions
- Use compound interest
- Represent repeated proportional change using a multiplier raised to a power
- Find the original amount in a reverse percentage problem
|
| 3 |
- Identify upper and lower bounds
- Multiply or divide two decimals
- Divide an integer by a fraction
- Multiply and divide fractions and mixed numbers
- Simplify expressions containing powers
- Know the index laws for multiplication and division
- Know that any number to the power of zero is 1
- Calculate average speed, distance and time
- Convert between metric speed measures
- Understand the effect of multiplying or dividing by any number between 0 and 1
- Order fractions by converting them to decimals or otherwise
- Use one calculation to find the answer to another
- Estimate answers to simple calculations by rounding numbers to 1 significant figure
- Interpret a calculator display using standard form
- Compare ratios by changing them to the form 1 : m or m : 1
- Solve a ratio problem in context
- Write as ratio as a fraction
- Set up equations to show direct proportion and use expressions of the form y α x
- Identify direct proportion from a graph
- Use percentages in real-life situations: VAT, value of profit or loss, simple interest
|
| 2 |
- Add and subtract fractions and mixed numbers with denominators of any size
- Multiply a fraction by an integer
- Be able to multiply and divide any number by 0.1 and 0.01
- Find fractions and decimals of a given number
- Apply systematic listing strategies
- Multiply and divide decimals – positive and negative
- Convert a fraction to a decimal
- Give the positive and negative square root of a square number
- Know square numbers up to 162 and know how to find roots up to √256
- Find roots of non square numbers using square root key
- Estimate square roots of non square numbers less than 100
- Know the cubes of 2, 3, 4, 5 and 10
- Compare proportions using equivalent fractions, decimals and percentages
- Use the unitary method to solve problems involving ratio and direct proportion
- Divide a quantity into more than two parts in a given ratio
- Convert one metric unit to another
- Use a ratio to find one quantity when the other is known
- Find the outcome of a given percentage increase or decrease using multipliers
- Simplify a ratio expressed in different units
|
| 1 |
- Round numbers to significant figures
- Use symbols = , ≠, <, >, ≤, ≥
- Multiply and divide three-digit by two-digit whole numbers
- Multiply decimals with one or two places by single-digit whole numbers
- Add and subtract fractions with common denominators
- Add, subtract, multiply and divide with negative numbers
- Add and subtract with decimals
- Use the correct order of operations for more complex calculations
- Use inverse operations
- Simplify fractions
- Find highest common factors and lowest common multiples
- Find the prime factor decomposition of a number less than 100
- Recognise two digit prime numbers
- Calculate simple fractions of quantities
- Find any percentage of an amount (including using multipliers)
- Use index notation for squares and cubes and for positive integer powers of 10
- Order fractions, decimals, percentages and negative numbers
- Make estimates and approximations of calculations
- Divide a quantity in a given ratio
- Simplify a ratio
- Express one number as a fraction of another
- Recall equivalent fractions, decimals and percentages
- Express one given number as a percentage of another
|
| W3 |
- Round decimals to the nearest whole number
- Multiply and divide decimals by 10, 100, 1000
- Multiply by 0
- Extend written division methods to HTU ÷ U
- Use the column method to add and subtract decimals
- Be able to multiply TU × TU using a written method
- Check a result by working it backwards
- Round numbers to decimal places
- Be able to find multiples and factors
- Identify prime numbers
- Convert decimals to fractions
- Know common fraction to decimal conversions
- Calculate simple percentages
- Recognise the first few triangular numbers
- Know square numbers beyond 10 × 10
- Find roots of square numbers up to 100
- Use fraction notation to describe parts of shapes
|
| W2 |
- Understand that halving is the reverse of doubling
- Multiply and divide integers by 10 and 100
- Add and subtract with decimals
- Be able to multiply HTU × U using a written method
- Use the correct order of operations
- Know square numbers 6 × 6 to 9 × 9
- Be able to order positive decimals
- Be able to use > or < correctly between two positive decimals
- Know what each digit represents in numbers with up to two decimal places
|
| W1 |
- Round positive whole numbers to the nearest 10, 100 or 1000
- Add three or more multiples of 10
- Partition to multiply mentally TU × U
- Use doubling and halving
- Know times tables up to 10 × 10
- Add and subtract using the column method
- Add, subtract multiply and divide with small numbers including negatives
- Know square numbers, 10 × 10, and 1 × 1 to 5 × 5
- Use diagrams to compare two or more simple fractions
- Order positive and negative integers
- Convert a percentage to a number of hundredths or tenths
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