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 twodigit 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 twostep 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 interchangeably 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
