# Maths

At Gladstone Primary Academy our vision is for children at the end of the primary phase to have gained mathematical knowledge and fluency which will enable them to access the secondary phase of mathematical learning with confidence, enjoyment and enthusiasm; providing them with the vital tools needed for life in modern Britain.

Maths is used daily in many contexts; therefore, making it an essential part of everyday life. We endeavour to unlock these vital life skills and knowledge, instilling a culture of how the learning of basic mathematical skills are a pre-requisite to reason and solve problems successfully; therefore, unlocking the potential of all our learners and the success of our future mathematicians.

Through their journey at Gladstone, all pupils - regardless of age or stage - will be consistently taught an ambitious and logically sequenced curriculum that will enable them to build on their prior knowledge systematically. This is designed to be accessible to all, regardless of their level of English acquisition or special educational need. The curriculum teaches for secure and deep understanding of mathematical concepts through manageable steps. As a result, all children are exposed to a maths curriculum which enables them to make good or better progress.

We aim for Gladstone pupils to become fluent in the fundamentals of mathematics, so they are able to develop and use concepts through having flexible knowledge – both within and extending beyond - the maths curriculum, with confidence and conviction. This will lead to them being able to successfully apply their flexible knowledge to solve problems with increasing mastery, involving both unfamiliar and real-life contexts. This will also enable pupils to reason mathematically and allow them to use a systematic approach to follow a line of enquiry or present a justification or argument.

## Power Maths 1 Key Objectives

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Count to ten, forwards and backwards, beginning with 0 or 1, or from any given number.

Count, read and write numbers to 10 in numerals and words.

Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least.

Given a number, identify one more or one less.

Count to twenty, forwards and backwards, beginning with 0 or 1, from any given number.

Represent and use number bonds and related subtraction facts within 20.

Identify and represent numbers using objects and pictorial representations.

Given a number, identify 1 more or 1 less.

Read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs

Compare, describe and solve practical problems for: lengths and heights for example, long/short, longer/shorter, tall/short, double/half

Count in multiples of twos, fives and tens.

Count to and across 100 forwards and backwards, beginning with 1 or 0 or from any given number

Represent and use number bonds and related subtraction facts within 20

Read, write and interpret mathematical statements involving addition (+) subtraction (-) and equals (=) signs.

Compare, describe and solve practical problems for mass/weight [for example, heavy/light, heavier than, lighter than]; capacity and volume [for example, full/empty, more than, less than, half, half full, quarter

Recognise and name common 2D and 3D shapes, including rectangles, squares, circles and triangles, cuboids, pyramids and spheres.

## Power Maths 2 Key Objectives* *

Count in steps of 2, 3 and 5 from 0 and in tens from any number, forward and backward.

Recognise the place value of each digit in a two digit number (tens, ones)

Identify, represent and estimate numbers to 100 using different representations including the number line.

Compare and order numbers from 0 up to 100; use <, > and = signs

Read and write numbers to at least 100 in numerals and words.

Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100.

Show that the addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot.

Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a two-digit number and ones; a two-digit number and tens; two two-digit numbers; adding three one-digit numbers.

Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

Recall and use multiplication and division facts for the 2, 5 and 10 times tables, including recognising odd and even numbers.

Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (x), division (÷) and equals (=) sign.

Show that the multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot

Identify and describe the properties of 2D shapes, including the number of sides and line symmetry in a vertical line.

Identify and describe the properties of 3D shapes, including the number of edges, vertices and faces.

Identify 2D shapes on the surface of 3D shapes, [for example, a circle on a cylinder and a triangle on a pyramid.]

Recognise, find, name and write fractions one third, one quarter, two quarters and three quarters of a length, shape, set of objects or quantity

Write simple fractions for example, ½ of 6 = 3

Recognise the equivalence of 2 quarters and a half.

## Power Maths 3 Key Objectives* *

Find 10 or 100 more or less than a given number; recognise the place value of each digit in a three-digit number (hundreds, tens, ones).

Compare and order numbers up to 1000

Read and write numbers up to 1000 in numerals and in words.

Count from 0 in multiples of 50 and 100

Add and subtract numbers mentally, including: a three-digit number and ones; a three-digit number and tens; a three-digit number and hundreds.

Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction.

Add and subtract amounts of money to give change, using both £ and p in practical contexts

Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables

Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (x), division (÷) and equals (=) signs.

Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot.

Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.

Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators.

Count up and down in tenths.

Recognise and show, using diagrams, equivalent fractions with small denominators.

Add and subtract fractions with the same denominator within one whole

## Power Maths 3 Key Objectives* *

Find 10 or 100 more or less than a given number; recognise the place value of each digit in a three-digit number (hundreds, tens, ones).

Compare and order numbers up to 1000

Read and write numbers up to 1000 in numerals and in words.

Count from 0 in multiples of 50 and 100

Add and subtract numbers mentally, including: a three-digit number and ones; a three-digit number and tens; a three-digit number and hundreds.

Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction.

Add and subtract amounts of money to give change, using both £ and p in practical contexts

Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables

Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (x), division (÷) and equals (=) signs.

Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot.

Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.

Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators.

Count up and down in tenths.

Recognise and show, using diagrams, equivalent fractions with small denominators.

Add and subtract fractions with the same denominator within one whole

## Power Maths 4 Key Objectives* *

Count in multiples of 6, 7, 9. 25 and 1000

Find 1000 more or less than a given number.

Recognise the place value of each digit in a four digit number (thousands, hundreds, tens and ones)

Order and compare numbers beyond 1000.

Round any number to the nearest 10, 100 or 1000.

Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate.

Solve addition and subtraction two step problems in contexts, deciding which operations and methods to use and why.

Recall and use multiplication and division facts for multiplication tables up to 12 x 12.

Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers.

Recognise and use factor pairs and commutativity in mental calculations.

Multiply two digit and three digit numbers by a one digit number using formal written layout.

Recognise and show, using diagrams, families of common equivalent fractions.

Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.

Add and subtract fractions with the same denominator.

Recognise and write decimal equivalents of any number of tenths or hundredths

Recognise and write decimal equivalents to ¼, ½, ¾

Find the effect of dividing a one or two digit number by 10 or 100, identifying the value of the digits in the answer as ones, tenths and hundredths

## Power Maths 5 Key Objectives* *

Read, write, order and compare numbers to at least 1000000 and determine the value of each digit.

Count forwards or backwards in steps of powers of 10 for any given number up to 1000000.

Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers including through zero.

Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10000 and 100000

Add and subtract numbers mentally with increasingly large numbers.

Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

Multiply and divide numbers mentally drawing upon known facts.

Multiply and divide whole numbers by 10, 100 and 1000.

Multiply numbers up to 4 digits by a one or two digit number using a formal written method, including long multiplication for 2 digit numbers.

Divide numbers up to 4 digits by a one digit number using the formal written method of short division and interpret remainders appropriately for the context.

Read, write, order and compare numbers with up to three decimal places.

Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents.

Round decimals with two decimal places to the nearest whole number and to one decimal place.

## Power Maths 6 Key Objectives* *

Read, write, order and compare numbers to at least 1000000 and determine the value of each digit.

Count forwards or backwards in steps of powers of 10 for any given number up to 1000000.

Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers including through zero.

Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10000 and 100000

Add and subtract numbers mentally with increasingly large numbers.

Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

Multiply and divide numbers mentally drawing upon known facts.

Multiply and divide whole numbers by 10, 100 and 1000.

Multiply numbers up to 4 digits by a one or two digit number using a formal written method, including long multiplication for 2 digit numbers.

Divide numbers up to 4 digits by a one digit number using the formal written method of short division and interpret remainders appropriately for the context.

Read, write, order and compare numbers with up to three decimal places.

Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents.

Round decimals with two decimal places to the nearest whole number and to one decimal place.

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