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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 .
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 .
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 kgs 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 kgs 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.