Download Years 4 to 7

Warm ups- Scope and Sequence Year 4-7 Maths
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Year 4
Year 5
Year 6
Number & Place Value
Number & Place Value
Number & Place Value
Recall multiplication facts up to
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10 x 10 and related division facts.
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numbers.
Prime, composite, square and
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Estimation and rounding.
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Integers on a number line.
numbers to tens of thousands.
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Multiplication of large numbers
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Mental computations +, -, x, ÷
Apply place value to tens of
including those that result in a
4, 6, 7, 8, and 9.
remainder.
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Associative, commutative and
distributive laws.
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Compare, order, add and subtract
integers.
Mental computations +, -, x, ÷
Fractions and Decimals
Fractions and Decimals
Fractions and Decimals
Equivalent fractions.
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¼, ½ , 1/3 with mixed numerals.
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These fractions on a number line.
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Explore place value to tenths and
and subtraction of fractions
hundredths.
with the same denominator.
addition and subtraction of
fractions, including unrelated
Place value beyond hundredths
fractions with the same or
denominators.
Compare, order and represent
related denominators.
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Connections between fractions and
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decimal notation.
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Fractions with related
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Fractions using equivalence.
on a number line.
denominators and locate on a
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Positive and negative fractions and
Solve problems involving addition
number line.
Common unit fractions and locate
decimals.
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Mental computations +, -, x, ÷
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Square roots of perfect square
numbers.
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Fractions and Decimals
Index notation and whole numbers as
products of powers of prime numbers.
Division by a one digit number,
Number sequences multiples of 3,
Mental computations +, -, x, ÷
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by one- or two-digit numbers.
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Number & Place Value
triangular numbers.
Properties of odd and even
thousands .
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Factors and multiples of whole
Year 7
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Solve problems involving
mixed numbers on a number line.
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Simple fraction of a quantity
where the result is a whole
Add and subtract decimals.
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Use estimation and rounding to
Multiply and divide fractions and
decimals.
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number.
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Addition and subtraction of
Express one quantity as a fraction of
another.
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Round decimals to a specified
number of decimal places.
check answers.
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Multiply decimals by whole
Fractions, decimals and percentages
and simple conversions.
numbers.
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Percentages.
Divisions by non-zero whole
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Simple ratios.
numbers where the results are
terminating decimals.
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Multiply and divide decimals by
powers of 10
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Equivalent fractions, decimals
and percentages.
Money and financial mathematics
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Change to the nearest five cents.
Money and financial mathematics
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Create simple financial plans
Money and financial mathematics
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Calculate percentage discounts
Money and financial mathematics
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of 10%, 25% and 50% on sale
Investigate and calculate ‘best buys’,
with and without digital technologies.
items, with and without digital
technologies.
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Patterns and Algebra
Number patterns using
Patterns and Algebra
Patterns with fractions, decimals
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Patterns and Algebra
Sequences - whole numbers,
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and whole numbers- addition and
Word problems using number
subtraction.
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Rules for developing sequence.
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Algebraic expressions
Equivalent number sentences-
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Brackets and order of
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Evaluate them by substituting a given
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fractions and decimals.
Patterns and Algebra
Variables representing numbers using
multiplication.
sentences - multiplication or division
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- no remainder.
multiplication and division to find
operations to write number
Use equivalent number sentences –
unknown quantities.
sentences.
letters.
value for each variable.
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Extend and apply the laws and
addition and subtraction to find
properties of arithmetic to algebraic
unknown quantities.
terms and expressions.
Year 4
Linear and non-linear relationships
Year 5
Linear and non-linear relationships
Year 6
Linear and non-linear relationships
Year 7
Linear and non-linear relationships
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Coordinates, plot points on the
Cartesian plane.
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Find coordinates for a given point
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Solve simple linear equations
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Interpret and analyse graphs from
authentic data.
Using units of measurement
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Lengths, masses, capacities and
Using units of measurement
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temperatures.
Length, area, volume, capacity
Using units of measurement
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Connect decimal
Using units of measurement
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Formulas for areas of rectangles,
and mass.
representations to the metric
triangles and parallelograms., use
system
these in problem solving.
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Convert units of time
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Perimeter and area of rectangles.
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Am and pm notation
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Compare 12- and 24-hour time.
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Solve simple time problems
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Compare objects using familiar
comparison of lengths and
metric units of area and volume
areas using appropriate units.
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Length, mass and capacity
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Solve problems involving the
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Calculate volumes of rectangular
prisms.
Connect volume and capacity
and their units of measurement
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Shape
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Shape
Compare the areas of regular and
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Shape
Connect three-dimensional objects
irregular shapes by informal means.
with their nets and other two
Compare and describe two
dimensional representations.
dimensional shapes that result from
combining and splitting common
shapes.
Interpret and use timetables
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Shape
Simple prisms and pyramids
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Views of prisms and solids formed
from combinations of prisms
Year 4
Location and Transformation
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Use simple scales, legends and
Year 5
Location and Transformation
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Grid reference system to describe
directions to interpret information
locations.
contained in basic maps
Describe routes using landmarks
Symmetrical patterns, pictures and
and directional language.
shapes.
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Year 6
Location and Transformation
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Combinations of translations,
Year 7
Location and Transformation
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Translations, reflections in an axis,
reflections and rotations.
and rotations of multiples of 90° on
Cartesian coordinate system
the Cartesian plane using
using all four quadrants.
coordinates.
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Describe translations, reflections
and rotations of two-dimensional
Identify line and rotational
symmetries.
shapes.
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Identify line and rotational
symmetries.
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Apply the enlargement
transformation to familiar two
dimensional shapes.
Geometric reasoning
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Compare angles and classify them
Geometric reasoning
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as equal to, greater than or less
than a right angle.
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Estimate, measure and compare
Geometric reasoning
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Angles on a straight line, angles
Geometric reasoning
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Identify corresponding, alternate and
angles using degrees.
at a point and vertically opposite
co-interior angles when two straight
Construct angles using a
angles.
lines are crossed by a transversal.
protractor
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Conditions for two lines to be parallel
and solve simple numerical problems
using reasoning.
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Classify triangles according to their
side and angle properties.
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Describe quadrilaterals.
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Demonstrate that the angle sum of a
triangle is 180° and use this to find
the angle sum of a quadrilateral.
Year 4
Chance
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Year 5
Chance
Describe possible everyday events
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Year 6
Chance
List outcomes of chance
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Year 7
Chance
Describe probabilities using
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Construct sample spaces for single
and order their chances of
experiments involving equally
fractions, decimals and
step experiments with equally likely
occurring.
likely outcomes and represent
percentages.
outcomes.
Identify everyday events where one
probabilities of those outcomes
cannot happen if the other happens.
using fractions.
of events and determine probabilities
Recognise that probabilities range
for events.
Identify events where the chance of
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Assign probabilities to the outcomes
from 0 to 1.
one will not be affected by the
occurrence of the other.
Data representations and interpretation
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Methods for data collection,
including survey questions and
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Data representations and interpretation
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Column graphs, dot plots and
Data representations and
interpretation
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Identify and investigate issues
of data displays, including side-
involving numerical data collected
recording sheets.
by-side column graphs for two
from primary and secondary sources
Tables, column graphs and picture
categorical variables.
graphs where one picture can
represent many data values.
tables,
Interpret and compare a range
Data representations and interpretation
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Compare a range of data displays
Interpret secondary data
including stem-and-leaf plots and dot
presented in digital media and
plots.
elsewhere,
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Calculate mean, median, mode and
range for sets of data.
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Interpret these statistics in the context
of data.
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Describe and interpret data displays
using median, mean and range