Maths

Term: Autumn

Year:5

How can I help my child in this subject?

Practically doing maths at home and making in a practical subject is the best way to help your child. Examples being calculating receipt amounts, area of painting a room, filling the tank with different metric units of litres are some of the ways this can be done.

Additionally, developing a dialogue with your child about their working out strategies in calculations and supplementing their memorisation of the times tables and other numerical facts are all crucial as a basis for their development.

What will we be covering this term?

1st Half Term: Pupils will be covering:

●Numbers and the Number System

●Place value, ordering and rounding

●Multiply and divide any positive integer up to 10000 by 10 or 100 and

●understand the effect

●Order a given set of positive and negative integers

●Properties of numbers and number sequences

●Fractions, decimals and percentages, ratio and proportion

●Relate fractions to division

●Use decimal notation for tenths and hundredths.

●Round a number with one or two decimal places to the nearest integer.

●Relate fractions to their decimal representations

●Calculations Rapid recall of addition and subtraction facts

●Mental calculation strategies

●(+ and-) Calculate mentally a difference such as 8006 - 2993.

●Pencil and paper procedures (+ and)

●Extend written methods to:

●column addition/subtraction of two integers less than 10000;

●Understanding multiplication and division

●Rapid recall of multiplication and division facts

●Know by heart all multiplication facts up to 12 x 12.

●Mental calculation strategies (× and ÷)

●Pencil and paper procedures (× and ÷)

●Extend written methods to: short multiplication of HTU by U

●Long multiplication of TU by TU; short division of HTU by U

●Solving Problems

2nd Half Term: Pupils will be covering:

●Reasoning and generalising about numbers or shapes

●Problems involving 'real life', money and measures

●Use all four operations to solve simple word problems involving

●numbers and quantities (including time)

●Explain methods and reasoning

●Understand and use the formula in words

●'length × breadth' for the area of a rectangle.

●Recognise properties of rectangles.

●Recognise perpendicular and parallel lines.

●Organising and interpreting data

Maths

Term:Spring

Year:5

What will we be covering this term?

1st Half Term: Pupils will be covering the following topics and the related key concepts:
●Place value, ordering and rounding- To read and write whole numbers
●Rapid recall of multiplication and division facts- to know facts up to 10*10 and to derive quickly corresponding tables.
●Mental calculation strategies- to use doubling, halving starting from known facts.
●Understanding multiplication- begin to use brackets.
●Pencil and paper procedures- to extend written methods to short division of HTU.
●Problems involving “real life” and money- to use all 4 operations to solve word problems.
●Fractions, decimals and percentages and ratio- to order a set of fractions such as 2 ½.
●Shape and space: to classify 3D, reasoning and generalising.
●Shape and space about shapes/angles- To recognise perpendicular lines and parallel lines.
●To solve mathematical problems and puzzles.
●Place value, ordering and rounding- To read and write whole numbers
●Rapid recall of multiplication and division facts- to know facts up to 10*10 and to derive quickly corresponding tables.
●Mental calculation strategies- to use doubling, halving starting from known facts.
●Understanding multiplication- begin to use brackets.
●Pencil and paper procedures- to extend written methods to short division of HTU.
●Problems involving “real life” and money- to use all 4 operations to solve word problems.
●Fractions, decimals and percentages and ratio- to order a set of fractions such as 2 ½.
●Shape and space: to classify 3D, reasoning and generalising.
2nd Half Term: Pupils will be covering the following topics and the related key concepts:
●Measure (area and perimeter)- To understand area measured in square centimetres.
●Measure (mass) -To use mass kg’s and their associated relationships.
●Problems involving measures (mass)- To use all 4 operations to solve simple word problems based on mass.
●Organising and interpreting- To solve a problem based on interpreting data in bar charts, diagrams and graphs.
●Mental calculation strategies/ checking results of calculations- to use number facts and place value for mental addition.
●Rapid recall of addition- to derive quickly decimals that total 1 or 10.
●Pencil paper procedures of addition facts- To extend written methods to addition of more than two integers.
●Pencil paper procedures- To use subtraction of a pair of decimals fractions.
●Properties of numbers and number sequences- To recognise and extend number sequences. To recognise multiples of 6, 7, 8, 9 and 10.
●Shape and space about shapes/angles- To recognise perpendicular lines and parallel lines. To solve mathematical problems and puzzles.
●Measure (area and perimeter)- To understand area measured in square centimetres.
●Measure (mass)- To use mass kg’s and their associated relationships.
●Problems involving measures (mass)- To use all 4 operations to solve simple word problems based on mass.
●Organising and interpreting- To solve a problem based on interpreting data in bar charts, diagrams and graphs.
●Mental calculation strategies/ checking results of calculations- to use number facts and place value for mental addition.
●Rapid recall of addition- to derive quickly decimals that total 1 or 10.
●Pencil paper procedures of addition facts- To extend written methods to addition of more than two integers.
●Pencil paper procedures- To use subtraction of a pair of decimals fractions.
●Properties of numbers and number sequences- To recognise and extend number sequences. To recognise multiples of 6, 7,8 ,9 10.

Maths

Term:Summer

Year:5

What will we be covering this term?

1st Half Term: Pupils will be covering the following topics and the related key concepts:
●To multiply and divide any positive integer up to 10,000
●Use vocabulary of estimation and approximation
●To round up or down according to context
●To use known facts to divide and multiply mentally
●Estimate by approximating
●Order a set of decimals or measurements with the same number of decimal places
●Round a number with one or two decimal places
●Relate fractions to their decimal equivalents. To recognise the equivalence between decimal and fraction forms.
●Begin to understand percentage as parts of every hundred.
●To express one half, one tenth and three quarters as percentages.
●Solve problems involving ratio and proportion.
●Place value, ordering and rounding- To read and write whole numbers in figures and know what each digit represents.
●Rapid recall of multiplication and division facts/ mental calculation strategies/checking results of calculations- Know facts up to 10*10. To extend methods to TU 8 TU
●Understand multiplication and division/ Mental calculation strategies/ Problems involving “real life” and money- o round up or down after division. To use all four operations to solve simple word problems.
●Fractions, decimals and percentages, ratio and proportion- To order a set of numbers their decimal representations.
●Organising and interpreting data
●Shape and space (reflective symmetry, reflection and translation)/ reasoning and generalising about shapes- To recognise reflective symmetry in regular polygons. To complete symmetrical patterns with two lines of symmetry.
●Measures: problems involving measures (time)/ making decisions- To use all four operations to solve simple word problems involving numbers.
2nd Half Term:Pupils will be covering the following topics and the related key concepts:
●To solve problems represented in graphs and interpreting information in charts and tables.
●Calculate the range and mode of data.
●Recognise reflective symmetry in regular polygons.
●Complete symmetrical patterns
●Understand pentominoes and translation.
●Using the four operations to solve word problems.
●Converting larger to smaller units, as well as recognising metric/ imperial units.
●Derive quickly two digit pairs that total 100.
●Finding the pair of factors of any number up to 100.
●Making statements about even or odd numbers.
●Understanding number sequences.
●Measures: Problems involving measures/ (capacity)/ making decisions- To convert smaller to larger units. To choose appropriate number operations.
●Mental calculation strategies (+ and -)- To use known facts to and place value for mental addition and subtraction.
●Rapid recall of addition and subtraction facts/ mental calculation strategies (+ and)
●To derive quickly and continue to derive quickly all two digit pairs that total 100.
●Rapid recall of addition facts/ pencil and paper procedures (+)- To extend written methods to column addition.
●Properties of numbers and number sequences- To find all the pairs of factors of any number up to 100.
●Reasoning and generalising about numbers or shapes- To explain a generalised relationship in words.