## Maths

Maths at OLSJ

Developed over centuries, maths has provided solutions to some of the world’s most interesting problems. It is essential to everyday life, education and employment. At Our Lady and St. Joseph, we aim to provide children with a foundation for understanding the world, the ability to reason mathematically, as well as fostering a sense of enjoyment and curiosity about the subject.

Children are taught using concrete objects, before moving on to pictorial and abstract methods. This is a three-part strategy in which each part builds on the previous instruction, encouraging pupils to create meaningful connections between concrete, pictorial and abstract levels of thinking and understanding.

Concrete: In this stage, the teacher begins instruction by modeling each mathematical concept with concrete materials. This is the “doing” stage in which concrete objects are used to model problems.

Pictorial: This stage involves drawing pictures; using circles, dots, and tallies; or using stamps to imprint pictures for counting.  This is the “seeing” stage, using representations of the objects to model problems.

Abstract: In this stage, the teacher models the mathematics concept at a symbolic level, using only numbers and mathematical symbols (+, –, x, /) This is the “symbolic” stage, where students are able to use abstract symbols to model problems.

This three-step process provides students with a deeper understanding of mathematical concepts and ideas and is an essential foundational approach for future problem solving.

Curriculum Overview Key Stage 1 & 2

Year 1

Number/Calculation

• Count to / across 100
• Count in 1s, 2s, 5s and 10s Identify ‘one more’ and ‘one less’
• Read & write numbers to 20
• Use language, e.g. ‘more than’, ‘most’ Use +, - and = symbols
• Know number bonds to 20
• Add and subtract one-digit and two-digit numbers to 20, includingzero
• Solve one-step problems, including simple arrays

Geometry & Measures

• Use common vocabulary for comparison, e.g. heavier, taller, full, longest, quickest
• Begin to measure length, capacity, weight
• Recognise coins & notes
• Use time & ordering vocabulary
• Tell the time to hour/half-hour
• Use language of days, weeks, months & years
• Recognise & name common 2-d and 3-d shapes
• Order & arrange objects
• Describe position & movement, including half and quarter turns

Fractions

• Recognise & use 1⁄2 & 1

Year 2

Number/Calculation

• Know 2, 5, 10x tables
• Begin to use place value (T/U)
• Count in 2s, 3s, 5s & 10s
• Identify, represent & estimate numbers
• Compare / order numbers, inc. < > =
• Write numbers to 100
• Know number facts to 20 (+ related to 100)
• Use x and ÷ symbols
• Recognise commutative property of multiplication

Geometry & Measures

• Know and use standard measures
• Read scales to nearest whole unit
• Use symbols for £ and p and add/subtract simple sums of less than £1 or in pounds Tell time to the nearest 5 minutes
• Identify & sort 2-d & 3-d shapes
• Identify 2-d shapes on 3-d surfaces
• Order and arrange mathematical objects
• Use terminology of position and movement

Fractions

• Find and write simple fractions
• Understand equivalence of e.g. 2/4 = 1/2

Data

• Interpret simple tables & pictograms

Year 3

Number/Calculation

• Learn 3, 4 & 8x tables
• Secure place value to 100
• Mentally add & subtract units, tens or hundreds to numbers of up to 3
• digits
• Written column addition & subtraction
• Solve number problems, including multiplication & simple division and missing number problems
• Use commutativity to help calculations

Geometry & Measures

• Measure & calculate with metric measures
• Measure simple perimeter
• Add/subtract using money in context
• Use Roman numerals up to XII; tell time
• Calculate using simple time problems
• Draw 2-d / Make 3-d shapes
• Identify and use right angles
• Identify horizontal, vertical, perpendicular and parallel lines

Fractions & decimals

• Use & count in tenths
• Recognise, find & write fractions
• Recognise some equivalent fractions
• Add/subtract fractions up to <1
• Order fractions with common denominator

Data

• Interpret bar charts & pictograms

Year 4

Number/Calculation

• Know all tables to 12 x 12
• Secure place value to 1000
• Use negative whole numbers
• Round numbers to nearest 10, 100 or 1000
• Use Roman numerals to 100 (C)
• Column addition & subtraction upto 4 digits
• Multiply & divide mentally
• Use standard short multiplication

Geometry & Measures

• Compare 2-d shapes, including quadrilaterals & triangles
• Find area by counting squares
• Calculate rectangle perimeters
• Estimate & calculate measures
• Identify acute, obtuse & right angles
• Identify symmetry
• Introduce simple translations

Data

• Use bar charts, pictograms & line graphs

Fractions & decimals

• Recognise tenths & hundredths
• Identify equivalent fractions
• Add & subtract fractions with common denominators
• Recognise common equivalents
• Round decimals to whole numbers
• Solve money problems

Year 5

Number/Calculation

• Secure place value to 1,000,000
• Use negative whole numbers in context
• Use Roman numerals to 1000 (M)
• Use standard written methods for all four operations
• Confidently add & subtract mentally
• Use vocabulary of prime, factor & multiple
• Multiply & divide by powers of ten
• Use square and cube numbers

Geometry & Measures

• Convert between different units
• Calculate perimeter of composite shapes & area of rectangles
• Estimate volume & capacity
• Identify 3-d shapes
• Measure & identify angles
• Understand regular polygons Reflect & translate shapes

Data

• Interpret tables & line graphs
• Solve questions about line graphs

Fractions

• Compare & order fractions
• Add & subtract fractions with common denominators, with mixed numbers
• Multiply fractions by units
• Write decimals as fractions
• Order & round decimal numbers
• Link percentages to fractions & decimals

Year 6

Number/Calculation

• Secure place value & rounding to 10,000,000, including negatives
• All written methods, including long division
• Use order of operations (not indices)
• Identify factors, multiples & primes
• Solve multi-step number problems

Algebra

• Introduce simple use of unknowns

Geometry & Measures

• Confidently use a range of measures & conversions
• Calculate area of triangles / parallelograms
• Use area & volume formulas
• Classify shapes by properties
• Know and use angle rules
• Translate & reflect shapes, using all four quadrants

Data

• Use pie charts
• Calculate mean averages

Fractions, decimals & percentages

• Compare & simplify fractions
• Use equivalents to add fractions
• Multiply simple fractions
• Divide fractions by whole numbers
• Solve problems using decimals & percentages
• Use written division up to 2dp
• Introduce ratio & proportion