Assessment Criteria - Year 9 - Maths, Number

KS3 Level

Number 

Projected KS4 Grades

 7

I can multiply and divide integers and decimals by 0.1, 0.01 and 0.001.
I can use prime factorisation including.
I can find the Highest Common Factor and Lowest Common Multiple using prime factor decomposition.
I can use efficient written methods to add and subtract two or more integers and decimals of any size.

I can use known multiplication and division facts to derive unknown facts to solve problems mentally.
I can use written methods to multiply numbers with up to four digits.
I am able to divide by 1 and 2 digit numbers, including remainders.
I understand and am able to describe the effect of multiplying and dividing by decimals

 9

6

I can solve problems by applying the order of operations to calculations
I understand how to use a calculator to solve problems
I can investigate the implications of rounding to the nearest whole number
I can explain and reason when it is suitable to round, and decide upon an appropriate degree of accuracy.
I can make and justify estimates and approximations of calculations
I am able to extend mental methods of calculations to calculate powers/roots

I am able to investigate square and cube roots of larger numbers
I am able to investigate and extend the index laws to establish the meaning of negative indices.
I can explain and reason the equivalence of multiplying and dividing by positive and negative powers of 10
I can convert between recurring decimals and fractions
I can order fractions by converting them to decimals.

8

5

I can interpret a simple inequality on a number line
I can write positive and negative powers of 10
I can find the prime factors of two-digit numbers.
I can recognise and use common multiples and lowest common multiples
I can recognise and use common factors and highest common factors
I can use mental methods for adding and subtracting any type of number
I can use mental methods of addition and subtraction of simple fractions
I can use efficient written methods to add and subtract decimals

I can solve addition and subtraction two-step problems
I can use mental methods for multiplication of fractions accompanied where appropriate by suitable jottings
I can use mental methods for division of fractions
I can effectively use written methods of multiplication for numbers up to 4 digits in length.
I can use long or short division to divide by 1 and 2 digit numbers.
I can use a written method to divide numbers resulting in remainders and interpret these remainders I can multiply and divide a decimal with 1 or 2 decimal places by a whole number

7

4

 I can solve problems by applying the order of operations to more complex calculations involving positive and negative numbers
I can round numbers (including decimals) to a given number of significant figures.
I can use numbers of any size rounded to 1sf to make estimations
I can use inverse operations in the context of decimals and fractions to check answers.
I can use squares, square roots, cubes and cube roots

I understand the effect of multiplying the same integer to different powers.
I can apply the index laws for multiplication and division of positive integer powers.
I can use standard form notation in simple contexts.
I can explain the difference between an ordinary number and standard form.
I can recognise the equivalency of fractions and ratio.
I can recognise the relationship between recurring decimals and their fractional equivalents

6

3

I can multiply and divide integers and decimals by 1, 10, 100, 1000,
I can use written methods to add and subtract any positive or negative whole number.
I can add and subtract amounts of money
I can use your understanding of place value to reason out number calculations
I can complete two and three digit multiplication, using a proportional grid.
I can divide by one or two digit number, using chunking (with remainders).

I can use an efficient written method to multiply and divide positive and negative numbers to solve problems.
I can multiply and divide a decimal with one or two decimal places by a whole number.
I understand the associative law and how this applies to multiplication questions
I can use the order of operations
I am familiar with and can use the correct language for different types of numbers

5

2

I recognise that prime numbers have only two factors and can recall prime numbers up to 19 and establish the prime numbers up to 100.
I understand and can apply knowledge of decimal notation for tenths, hundredths and thousandths.
I can round decimals to the nearest whole number.
•     I can round decimals to the nearest one decimal place and two decimal places.
I can use the rules of arithmetic and inverse operations in the context of positive integers.
•     I can recognise and use cubes and cube roots for positive and negative integers and the notation for cubed, including on a calculator.

       I can write positive and negatives powers of 10.
•     I can work inter-changeably with fractions, decimals and percentages.
•     I can recognise where converting between fractions, decimals and percentages can make a calculation easier.
I can use division to convert a fraction to a decimal and distinguish between recurring and terminating decimals.

4

1

I can recognise and show families of common equivalent fractions.
•     I can compare and order simple fractions
•     I can find fractions of simple whole numbers
•     I can add and subtract fractions with the same denominator.
•     I can multiply proper fractions by whole numbers

I can identify the effect of dividing proper fractions by whole numbers
I can complete percentage calculation to find any percentages
I can express one quantity as a percentage of another
I can divide an amount into a given ratio.
I can solve simple problems involving ratio and direct proportion
I can simplify a ratio use this to solve problems

3

WT+

I can multiply and divide integers and decimals by 1, 10, 100, 1000, and explain the effect.
I can read and write numbers up to four digits and show understanding of place value up to four digits.
I can understand and use the concepts of greater than and less than.
I can read, write and compare decimal numbers with up to 2.d.p, and apply this to different situations e.g. using pounds and pence, reading temperatures etc.
I can show understanding of place value of decimals using notation for tenths and hundredths.
I can identify the position of decimal numbers on a number line.
I can recognise and interpret negative numbers in contexts such as temperature and money.
I can identify positive and negative numbers on a number line and use this to order positive and negative numbers.
I understand and can find multiples, factors, factor pairs, proper factors and common factors for most numbers.

I can use mental strategies to add and subtract numbers up to two digits
You understand how the commutative law applies to addition and subtraction.
I can recall and use positive integer complements to 100.
I understand how to subtract larger 1 digit positive integers from smaller positive integers producing negative numbers.
I can use efficient written methods to add up to 2 digit positive integers and subtract up to 1 or 2 digit positive integers.
I understand and can use the vocabulary associated with multiplication and division.

2

WT

1

Each KS3 level can be subdivided into:-

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