Level Up Maths 3-5 – coverage of the Welsh Programme of Study
Term 1
Unit 1 All in order
6 hours
Programme of Study for Wales
Solve mathematical problems: select, organise and use the mathematics, sequences of operation and methods of
computation needed to solve problems
Communicate mathematically: generalise and explain patterns and relationships in words and symbols; express
simple functions in words and symbolically
Reason mathematically: give solutions in the context of the problem
interpret and use simple algebraic relationships and functions; predict subsequent terms of patterns in number or
geometric sequences
Number 3: examine features of numbers … explore number and geometric patterns and sequences, e.g. patterns in
the natural world, Fibonacci sequences, and the Golden ratio
Algebra 1: appreciate the use of letters to represent variables or unknowns
experience ways in which algebra can be used to model real-life situations and solve problems
generate and generalise simple number sequences
Unit 2 Know your
numbers
6 hours
Solve mathematical problems: select, organise and use the mathematics, sequences of operation and methods of
computation needed to solve problems
use a range of mental, written and calculator computational strategies
use a variety of checking strategies, including mental estimation, approximation
Reason mathematically: make and test generalisations
Number 1: extend their knowledge of the number system, including decimals
use place value in whole numbers and decimals in computation
use negative numbers in a variety of contexts
Number 2: use a calculator efficiently to plan a complex calculation
calculate with whole numbers, negative numbers, decimals, understanding the effects of the operations
Number 3: examine features of numbers, including powers
Measures and money 1: calculate temperature differences
Measures and money 2: understand and use the conventional way of recording money
calculate with money and solve problems
interpret a calculator display in relation to money
Unit 3 sizing up
4 hours
Solve mathematical problems: select, organise and use the mathematics, sequences of operation and methods of
computation needed to solve problems
develop their skills of estimating and measuring; recognise limitations on the accuracy of measurement
Communicate mathematically: visualise, describe and represent shapes, using related mathematical language
Number 1: use place value in whole numbers and decimals in metric measurement
Measures and money 1: extend their understanding of the nature of measurement
make sensible estimates of length, mass, capacity and time in everyday situations
develop their understanding of the relationships between units, converting from one metric unit to another
read and interpret scales on measuring instruments and understand the degree of accuracy that is possible, or
appropriate, for a given purpose
find perimeters, areas of common shapes
Shape, position and movement 1: explore properties of shapes through drawing and practical work; construct 3D
shapes from given information
Unit 4 Part and
parcel
6 hours
Solve mathematical problems: use their knowledge of mathematical relationships and structure to solve numerical
problems
use a range of mental, written and calculator computational strategies
use a variety of checking strategies, including mental estimation, approximation and inverse operations
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
explain strategies, methods, choices, conclusions and reasoning to others in a variety of ways, including orally and
in writing
Reason mathematically: extend mental methods of computation to consolidate a range of non-calculator methods
Number 1: extend their knowledge of the number system, including decimals, fractions, percentages and the
relationships between them
Number 2: calculate with decimals, fractions, percentages, understanding the effects of the operations
Number 3: explore inverse number relationships, and use these in computation strategies
Measures and money 2: calculate with money and solve problems
Unit 5 More than the
average
6 hours
Solve mathematical problems: select, organise and use the mathematics, sequences of operation and methods of
computation needed to solve problems
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
read mathematical forms of communication, including tables, diagrams, graphs, mathematical texts and ICT
Reason mathematically: interpret mathematical information presented in a variety of forms; draw inferences from
graphs, diagrams and statistics
appreciate the difference between mathematical explanation and experimental evidence
Handling data 1: calculate or estimate values of the mode, median, mean and range of sets of discrete and grouped
data
interpret information given in a wide range of graphs, diagrams and statistics, especially real-life data
Handling data 2: understand and use the vocabulary of probability and the probability scales from 0 to 1 through
experience, experiment and theory
recognise situations where probabilities can be based on equally likely outcomes and others where estimates must
be based on experimental evidence; use relative frequency over a number of trials as an estimate of probability
identify all the outcomes of a combination of two experiments or a compound event
Unit 6 Formula one
5 hours
Solve mathematical problems: select, trial and evaluate a variety of possible approaches; break complex problems
into a series of tasks
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
generalise and explain patterns and relationships in words and symbols; express simple functions in words and
symbolically
Reason mathematically: understand general algebraic statements; make and test generalisations
Algebra 1: extend their knowledge of number operations and relationships to develop the ideas of algebra;
appreciate the use of letters to represent variables or unknowns
experience ways in which algebra can be used to model real-life situations and solve problems
construct, interpret and evaluate formulae and expressions given in words or symbols
Unit 7 Between the
lines
3 hours
Solve mathematical problems: develop and use their own mathematical strategies and ideas and consider those of
others
select, trial and evaluate a variety of possible approaches; break complex problems into a series of tasks
develop their skills of estimating and measuring
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
visualise, describe and represent shapes, using related mathematical language
Reason mathematically: justify how they arrived at a conclusion to a problem
Shape, position and movement 1: explore properties of shape through drawing and practical work
explain and use angle properties of 2-D shapes
explore the properties of polygons; use these to classify shapes
Shape, position and movement 2: use Cartesian co-ordinates to specify location
Term 2
Unit 8 Get the facts
5 hours
Solve mathematical problems: identify what further information or data may be required in order to pursue a
particular line of enquiry; formulate questions and identify sources of information
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
read mathematical forms of communication, including tables, diagrams, graphs, mathematical texts and ICT
present work clearly, using diagrams, labelled graphs and symbols
explain strategies, methods, choices, conclusions and reasoning to others in a variety of ways, including orally,
graphically and in writing
Measures and money 1: extend their understanding of the nature of measurement, including the difference between
discrete and continuous measures
Handling data 1: use a variety of means to collect data in order to follow lines of enquiry or to test hypotheses
begin to develop an understanding of bias and reliability
interpret information given in a wide range of graphs, diagrams and statistics, especially real-life data
compare sets of data and their distributions
Unit 9 Work it out
8 hours
Solve mathematical problems: select, organise and use the mathematics, sequences of operation and methods of
computation needed to solve problems
use a range of mental, written and calculator computational strategies
use a variety of checking strategies, including mental estimation, approximation and inverse operations
Communicate mathematically: explain strategies, methods, choices, conclusions and reasoning to others in a
variety of ways, including orally, graphically and in writing
Reason mathematically: extend mental methods of computation to consolidate a range of non-calculator methods
Number 2: use a calculator efficiently to plan a complex calculation
calculate with whole numbers, decimals, fractions, percentages, understanding the effects of the operations
Measures and money 1: make sensible estimates of length, mass, capacity and time in everyday situations,
extending to less familiar contexts; calculate time and temperature differences
develop their understanding of the relationships between units, converting from one metric unit to another
know imperial measures in common use and their approximate metric equivalents
Measures and money 2: understand and use the conventional way of recording money
calculate with money and solve problems
interpret a calculator display in relation to money
Unit 10 Algebra up
close
5 hours
Solve mathematical problems: develop and use their own mathematical strategies and ideas and consider those of
others
select, trial and evaluate a variety of possible approaches; break complex problems into a series of tasks
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
generalise and explain patterns and relationships in words and symbols; express simple functions in words and
symbolically
Reason mathematically: justify how they arrived at a conclusion to problem; give solutions in the context of the
problem
interpret and use simple algebraic relationships and functions; predict subsequent terms of patterns in number or
geometric sequences
understand general algebraic statements; make and test generalisations
Number 2: use a calculator efficiently to plan a complex calculation
calculate with whole numbers, negative numbers, decimals, understanding the effects of the operations
Number 3: examine features of numbers, including primes, powers and roots
explore number and geometric patterns and sequences, e.g. patterns in the natural world, Fibonacci sequences,
and the Golden ratio
Algebra 1: experience ways in which algebra can be used to model real-life situations and solve problems
generate and generalise simple number sequences
construct and interpret tables and graphs of linear functions; explore the properties of linear functions and their
graphs
Shape, position and movement 2: use Cartesian co-ordinates to specify location
Unit 11 Taking a
different angle
5 hours
Solve mathematical problems: select, organise and use the mathematics, sequences of operation and methods of
computation needed to solve problems
develop their skills of estimating and measuring; recognise limitations on the accuracy of measurement
Communicate mathematically: visualise, describe and represent shapes, using related mathematical language
Shape, position and movement 1: explore properties of shape through drawing and practical work, construct 2-D
shapes from given information
explain and use angle properties of 2-D shapes
Shape, position and movement 2: use line symmetries to solve problems in two dimensions
develop their understanding of tessellations and geometric patterns and simple transformations of translation,
reflection
Unit 12 More, less or
the same?
5 hours
Solve mathematical problems: use their knowledge of mathematical relationships and structure to solve numerical
problems
use a range of mental, written and calculator computational strategies
use a variety of checking strategies, including mental estimation, approximation and inverse operations
Communicate mathematically: explain strategies, methods, choices, conclusions and reasoning to others in a
variety of ways, including orally and in writing
Reason mathematically: extend mental methods of computation to consolidate a range of non-calculator methods
justify how they arrived at a conclusion to a problem; confirm that results are of the right order of magnitude
Number 1: extend their knowledge of the number system, including decimals, fractions, percentages and the
relationships between them
Number 2: calculate with decimals, fractions, percentages and ratios, understanding the effects of the operations
Number 3: explore inverse number relationships, and use these in computation strategies
Measures and money 2: calculate with money and solve problems
Unit 13 Express
yourself
4 hours
Solve mathematical problems: use their knowledge of mathematical relationships and structure to derive facts that
they have not yet learned and solve numerical problems
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
Reason mathematically: understand general algebraic statements; make and test generalisations
Algebra 1: extend their knowledge of number operations and relationships to develop the ideas of algebra;
appreciate the use of letters to represent variables or unknowns
experience ways in which algebra can be used to model real-life situations and solve problems
form, manipulate and solve linear equations
Term 3
Unit 14 Shape up
6 hours
Solve mathematical problems: use their knowledge of mathematical relationships and structure to derive facts that
they have not yet learned, and to solve numerical problems
Communicate mathematically: visualise, describe and represent shapes, using related mathematical language
Shape, position and movement 2: use line and rotational symmetries to solve problems in two dimensions
develop their understanding of tessellations and geometric patterns and simple transformations of translation,
reflection, rotation
Measures and money 1: find perimeters, areas of common shapes
Unit 15 Statistics
sorted
8 hours
Solve mathematical problems: identify what further information or data may be required in order to pursue a
particular line of enquiry; formulate questions and identify sources of information
recognise limitations on the accuracy of data and measurement; select an appropriate degree of accuracy
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
read mathematical forms of communication, including tables, diagrams, graphs, mathematical texts and ICT
present work clearly, using diagrams, labelled graphs and symbols
explain strategies, methods, choices, conclusions and reasoning to others in a variety of ways, including orally,
graphically and in writing
Reason mathematically: interpret mathematical information presented in a variety of forms; draw inferences from
graphs, diagrams and statistics
explain, follow and compare lines of mathematical argument; make conjectures and hypotheses, design methods to
test them; appreciate the difference between mathematical explanation and experimental evidence; recognise
inconsistencies and bias
evaluate results by relating them to the initial question or problem; develop an understanding of the reliability of
results; recognise that inferences drawn from data analysis may suggest the need for further investigation
Handling data 1: use a variety of means to collect data in order to follow lines of enquiry or to test hypotheses
begin to develop an understanding of bias and reliability
construct appropriate diagrams and graphs to represent discrete and continuous data, including bar charts, pie
charts, frequency polygons
construct appropriate diagrams and graphs to represent discrete and continuous data, including bar charts and pie
charts
calculate or estimate values of the mode, median, mean and range of sets of discrete and grouped data
compare sets of data and their distributions
Handling data 2: understand and use the vocabulary of probability and the probability scales from 0 to 1 through
experience, experiment and theory
recognise situations where probabilities can be based on equally likely outcomes and others where estimates must
be based on experimental evidence; use relative frequency over a number of trials as an estimate of probability
identify all the outcomes of a combination of two experiments or a compound event
Unit 16 Number
crunching
8 hours
Solve mathematical problems: use their knowledge of mathematical relationships and structure to solve numerical
problems
use a range of mental, written and calculator computational strategies
use a variety of checking strategies, including mental estimation, approximation and inverse operations
Reason mathematically: extend mental methods of computation to consolidate a range of non-calculator methods
justify how they arrived at a conclusion to a problem; confirm that results are of the right order of magnitude
Number 1: extend their knowledge of the number system, including decimals, fractions, percentages and the
relationships between them
Number 2: use a calculator efficiently to plan a complex calculation
calculate with decimals, fractions, percentages, understanding the effects of the operations
Number 3: examine features of numbers, including primes, powers and roots
explore inverse number relationships, and use these in computation strategies
Measures and money 2: calculate with money and solve problems
interpret a calculator display in relation to money
Unit 17 Algebra rules
8 hours
Solve mathematical problems: select, trial and evaluate a variety of possible approaches; break complex problems
into a series of tasks
Communicate mathematically: use a wide range of mathematical language, symbols and conventions to explain
and communicate their work to others
generalise and explain patterns and relationships in words and symbols; express simple functions in words and
symbolically
explain strategies, methods, choices, conclusions and reasoning to others in a variety of ways, including orally,
graphically and in writing
Reason mathematically: interpret and use simple algebraic relationships and functions; predict subsequent terms or
patterns in number or geometric sequences
understand general algebraic statements; make and test generalisations
Algebra 1: extend their knowledge of number operations and relationships to develop the ideas of algebra;
appreciate the use of letters to represent variables or unknowns
experience ways in which algebra can be used to model real-life situations and solve problems
generate and generalise simple number sequences
construct and interpret tables and graphs of linear functions; explore the properties of linear functions and their
graphs
construct, interpret and evaluate formulae and expressions given in words or symbols
form, manipulate and solve linear equations
Shape, position and movement 2: use Cartesian co-ordinates to specify location
Unit 18 Getting into
shape
6 hours
Solve mathematical problems: select, organise and use the resources, measuring instruments, units of measure
needed to solve problems
Communicate mathematically: visualise, describe and represent shapes, using related mathematical language
Reason mathematically: make and test generalisations; recognise particular examples of a general statement
Shape, position and movement 1: explore properties of shape through drawing and practical work, construct 2-D
and 3-D shapes from given information
explain and use angle properties of 2-D shapes
explore the properties of polygons and polyhedra; use these to classify shapes
Shape, position and movement 2: use line and rotational symmetries to solve problems in two dimensions
develop their understanding of tessellations and geometric patterns and simple transformations of translation,
reflection, rotation
Measures and money 1: read and interpret scales on measuring instruments