P.O. Box 7533
Weymouth
DT4 4FP
tel: 01273 782 786
fax: 01273 785 550
Renewed Numeracy Strategy:
Core Learning for
Knowing and Using Number Facts and Calculating
Below is a summary of core learning for Knowing and Using Number Facts and Calculating for each year group. Our Calculations CDs have been rewritten to meet these objectives.
Core learning in Year 1
At the end of Year 1 it is expected that children will:
know
• addition facts for totals to 5
• subtraction facts for totals to 5
• pairs of numbers with a total of 10
• doubles of all numbers to 10
recognise and understand
• the use of the vocabulary of addition
• the use of the vocabulary of subtraction
• that addition can be done in any order
apply knowledge (with aid of number lines etc) to:
• add two 1-digit numbers
• add a 1-digit number to a 2-digit number
• add a multiple of 10 to a 1-digit number
• subtract a 1-digit number from a 1-digit number
• subtract a 1-digit number from a 2-digit number
• subtract a multiple of 10 from a 2-digit number
• derive multiples of 2, 5 and 10
• complete addition and subtraction number sentences
• share into equal groups
Core learning in Year 2
At the end of Year 2 it is expected that children will:
know
• addition facts to 10
• subtraction facts to 10
• pairs of numbers that make 20
• pairs of multiples of 10 with totals up to 100
• doubles of all whole numbers to 20
• halves of all whole numbers to 20
• 2, 5 and 10 times tables and related division facts
recognise and understand
• and use the vocabulary of addition, subtraction,
multiplication and division
• that addition can be done in any order
• that subtraction is the reverse of addition and vice versa
• that multiplication is repeated addition
• that multiplication can be represented by arrays
• multiples of 2, 5 and 10
• that division is sharing or repeated subtraction
apply knowledge (with aid of number lines etc) to:
• add a 1-digit number to a 2-digit number
• add a multiple of 10 to a 2-digit number
• adding more than 2 numbers
• subtract a 1-digit number from a 2-digit number
• subtract a multiple of 10 from a 2-digit number
• add or subtract a multiple of 10 to/from a 2-digit number and adjusting
• complete number sentences involving all four operations
• use practical and informal written methods for all four operations
• use the symbols for all four operations
• share into equal groups
• share with remainders
• check answers
Core learning in Year 3
At the end of Year 3 it is expected that children will:
know
•addition facts to 20
•subtraction facts to 20
•pairs of numbers that total 100
•sums and differences of multiples of 10
•doubles and halves
•2, 3, 4, 5, 6 and 10 times tables and related division facts
recognise and understand:
•the vocabulary of addition, subtraction, multiplication and division
•that addition can be done in any order
•that subtraction is the inverse of addition and vice versa
•that multiplication is repeated addition
•that division is the inverse of multiplication and vice versa
apply knowledge to:
•add mentally combinations of 1-digit and 2-digit numbers
•subtract mentally combinations of 1-digit and 2-digit numbers
•develop written methods for addition of 2-digit and 3-digit numbers
•develop written methods for subtraction of 2-digit and 3-digit numbers
•multiply by 10 and 100 and understand the effect
•begin to use informal written methods for multiplication
•begin to use informal written methods for division
•round remainders up or down
•complete number sentences using the relationship between multiplication and division
•to check answers
•find unit fractions of numbers
Core learning in Year 4
At the end of Year 4 it is expected that children will:
mentally
• add pairs of two-digit numbers
• subtract pairs of two-digit numbers
• derive sums of pairs of multiples of 10, 100 or 1000
• derive differences of pairs of multiples of 10, 100 or 1000
• identify doubles and halves of two-digit numbers
• calculate doubles and halves of multiples of 10 and 100
• recall multiplication facts up to 10 x 10
• derive the corresponding division facts
• derive and recall multiples of numbers to 10 up to the tenth multiple
• derive pairs of fractions that total 1
recognise and understand:
• the vocabulary of addition, subtraction, multiplication and division
• the effect of multiplying and dividing numbers by 10 and 100
• that division is the inverse of multiplication and vice versa
• the order of calculating
• place value on calculator displays
apply knowledge to:
• use efficient written methods for addition of two and three-digit whole
numbers and £.p
• use efficient written methods for subtraction of two and three-digit whole
numbers
• multiply or divide numbers to 1000 by 10 or 100
• calculate using negative numbers
• develop written methods for multiplying a two-digit number by a one-digit
number
• develop written methods for dividing a two-digit number by a one-digit
number
• divide with remainders
• find fractions of numbers
• use a calculator to carry out one-step and two-step calculations
• check calculations by rounding and inverse operations
Core learning in Year 5
At the end of Year 5 it is expected that children will:
mentally
• add pairs of two-digit numbers including decimals
• subtract pairs of two-digit numbers including decimals
• derive sums and differences of pairs of multiples of 10, 100 or 1000
• identify doubles and halves of two-digit decimals
• recall multiplication facts up to 10 x 10
• multiply TU x U
• multiply pairs of multiples of 10 and 100
• derive the corresponding division facts of 10 and 100
• identify pairs of factors of 2-digit whole numbers
• recognise multiples
• estimate and check calculations
apply knowledge to:
• use mental methods in special cases: eg multiply by 16
• use place value to multiply and divide by 10, 100 and 1000, including decimals
• use efficient written methods for addition, including decimals
• use efficient written methods for subtraction, including decimals
• use efficient written methods for multiplication, including decimals
• use efficient written methods for division, HTU/U
• find fractions and percentages of numbers
• use a calculator to solve problems and interpret the display correctly
Core learning in Year 6
At the end of Year 6 it is expected that children will:
mentally:
• add whole numbers and decimals
• subtract whole numbers and decimals
• recall multiplication facts up to 10 x 10
• multiply whole numbers and decimals
• divide whole numbers and decimals
• recall square numbers up to 12 x 12
• derive squares of multiples of 10
• identify prime numbers less than 100
apply knowledge to:
• use tests of divisibility to check results
• use approximations to check results
• use place value to multiply and divide by 10, 100 and 1000, including decimals
• use efficient written methods for addition, including decimals
• use efficient written methods for subtraction, including decimals
• use efficient written methods for multiplication, including decimals
• use efficient written methods for division, including decimals
• find fractions and percentages of whole numbers
• use a calculator to solve problems and interpret the display correctly
• use a calculator to convert time (hours and minutes to minutes)
Our Calculations Series covers all the above objectives and much more in the way of revision and consolidation.
