Download Maths Band 6 Long Term Planning

Maths Band 6 Long Term Planning
Autumn 1
Autumn 2
Mrs Howell/Mrs Cornelius
Week 1
Week 2
Week 3
Week 4
Place value
Place value
Statistics
(data/timetables)
* Read, write, order and
compare numbers up to
10, 000,000 and
determine the value of
each digit * Solve
number and practical
problems
* Read, write, order and
compare numbers up to 10,
000,000 and determine the
value of each digit *
Round any whole number
to a degree of accuracy *
Use negative numbers in
context and calculate
intervals across 0 * Solve
number and practical
problems that involve all
of the above
* Interpret and construct
pie charts and line
graphs and use these to
solve problems.
(Robinwood)
Additions &
subtraction
* Perform mental
Ratio &
Proportion
Measurement
* Measurement (Perimeter,
area and volume) *
Recognise that shapes with
the same areas have
different perimeters and
vice versa * Recognise
when it is possible to use
formulae for area and
volume of shapes *
Calculate the area of
parallelograms and
triangles * Calculate,
* Solve problems
involving the relative
sizes of 2 quantities
where missing values
can be found by using
integer multiplication
and division facts. *
Solve problems
involving the calculation
of percentages (for
Week 5
Week 6
Multiplication & Multiplication &
division
division
calculations, including
with mixed operations and
large numbers * Identify
common factors, common
multiples and prime
numbers * Use their
knowledge of the order of
operations to carry out
calculations involving the
four operations * Divide
numbers up to 4 digits by a
two digit whole number
using the formal written
method of long division
and interpret remainders as
whole number remainders,
fractions, or by rounding,
as appropriate for the
context. * Divide numbers
up to 4 digits by a two digit
number using the formal
written method of short
division where appropriate,
interpreting remainders
according to the context. *
Solve addition and
subtraction multi-step
problems in context,
deciding which operations
and methods to use and
why. * Use estimation to
check answers to
calculations and determine,
in the context of a problem,
an appropriate degree of
accuracy.
* Perform mental
calculations, including
with mixed operations
and large numbers *
Identify common factors,
common multiples and
prime numbers * Use
their knowledge of the
order of operations to
carry out calculations
involving the four
operations * Solve
problems involving
addition, subtraction,
multiplication and
division * Use
estimation to check
answers to calculations
and determine, in the
context of a problem, an
appropriate degree of
accuracy.
Geometry
Fractions
4 operations
Geometry – circles and
angles * Compare and
classify geometric
shapes based on their
properties and sizes and
find unkown angles in
any triangles,
quadrilaterals, and
regular polygons *
Illustrate and name parts
of circles, including
radius, diameter and
* Multiply simple pairs of
proper fractions, writing
the answer in its simplest
form (e.g. ¼ x ½ =1/8) *
Divide proper fractions by
whole numbers, e.g. 1/3 ÷
2 = 1/6 * Identify the value
of each digit in numbers
given to 3 decimal places
and multiply and divide
numbers by 10, 100 and
1000 giving answers up to
– Addition, subtraction,
multiplication and
division * Perform
mental calculations,
including with mixed
operations and large
numbers * Identify
common factors,
common multiples and
prime numbers *
Multiply multi-digit
numbers up to 4 digits
Additional week on
written methods as
children struggled.
Measurement
– Measurement * Solve
problems involving the
calculation and
conversion of units of
measure, using deimal
notation up to 3 decimal
places where
appropriate. * Use, read,
write and convert
between standard units,
converting
measurements of length,
Week 7
Week 8
Fractions
Algebra
* To compare and
order fractions,
including fractions >1
* To use common
factors to simplify
fractions; use common
multiples to express
fractions in the same
denominations * To
associate a fraction
with division and
calculate decimal
fraction equivalents
for a simple fraction. *
To add and subtract
fractions with different
denominators and
mixed numbers, using
the concept of
equivalent fractions.
* Use simple formulae *
Generate and describe
linear sequences *
Express missing number
problems algebraically *
Find pairs of numbers
that satisfy an equation
with 2 unknowns *
Enumerate possibilities
of combinations of 2
variables
N/A
N/A
example, of measures
such as 15% of 360) and
the use of percentages
for comparison. * Solve
problems involving
similar shapes where the
scale factor is known or
can be found. * Solve
problems involving
unequal sharing and
grouping using
knowledge of fractions
and multiples.
estimate and compare
volume of cubes and
cuboids using standard
units, including cubic
centimetres (cm3) and
cubic metres (m3), and
extending to other units
(e.g. mm3 and km3)
circumference and know
that the diameter is twice
the radius * Recognise
angles where they meet
at a point, are on a
straight line, or are
vertically opposite, and
find missing angles.
3 decimal places. * Recall
and use equivalences
between simple fractions,
decimals and percentages,
including in different
contexts.
by a two-digit whole
number using the formal
written method of long
multiplication * Use
their knowledge of the
order of operations to
carry out calculations
involving the four
operations * Divide
numbers up to 4 digits
by a two digit whole
number using the formal
written method of long
division and interpret
remainders as whole
number remainders,
fractions, or by
rounding, as appropriate
for the context. * Divide
numbers up to 4 digits
by a two digit number
using the formal written
method of short division
where appropriate,
interpreting remainders
according to the context.
* Solve addition and
subtraction multi-step
problems in context,
deciding which
operations and methods
to use and why. * Use
estimation to check
answers to calculations
and determine, in the
context of a problem, an
appropriate degree of
accuracy.
mass, volume and time
from a smaller unit of
measure to a larger unit,
and vise versa, using
decimal notation up to 3
decimal places. *
Convert between miles
and kilometres
Spring 1
Geometry
* Recognise, describe
and build 3D shapes,
including nets.
* Describe positions on
the full coordinate grid
(all 4 quadrants)
* Draw and translate
simple shapes on the
coordinate plane, and
reflect them in the axis.
Number – number and
place value
* Read, write, order and
compare numbers up to 10,
000,000 and determine the
value of each digit
* Round any whole
number to a degree of
accuracy
* Use negative numbers in
context and calculate
intervals across 0
* Solve number and
practical problems that
involve all of the above
Fraction – multiplying
and dividing decimals
* To multiply one-digit
numbers with up to two
decimal places by whole
numbers.
* To use written division
methods in cases where
the answer has up to two
decimal places.
* To use written division
methods in cases where
the answer has up to two
decimal places.
* To solve problems
which require answers to
be rounded.
Spring 2
Geometry
Recognise, describe and
build 3D shapes,
including nets.
Geometry – circles and
angles
Compare and classify
geometric shapes based
on their properties and
sizes and find unknown
angles in any triangles,
quadrilaterals, and
regular polygons
Illustrate and name parts
of circles, including
radius, diameter and
circumference and know
that the diameter is twice
the radius
Recognise angles where
they meet at a point, are
on a straight line, or are
vertically opposite, and
find missing angles.
Number – number and
place value
Read, write, order and
compare numbers up to 10,
000,000 and determine the
value of each digit
Round any whole number
to a degree of accuracy
Use negative numbers in
context and calculate
intervals across 0
Solve number and practical
problems that involve all
of the above
– Addition, subtraction,
multiplication and
division
Multiply multi-digit
numbers up to 4 digits by a
two-digit whole number
using the formal written
method of long
multiplication
Divide numbers up to 4
digits by a two-digit whole
number using the formal
written method of long
division and interpret
remainders as whole
number remainders,
fractions, or by rounding,
as appropriate for the
context.
Ratio and Proportion
Solve problems
involving the relative
sizes of 2 quantities
where missing values
can be found by using
integer multiplication
and division facts.
Solve problems
involving the calculation
of percentages (for
example, of measures
such as 15% of 360) and
the use of percentages
for comparison.
Solve problems
involving similar shapes
where the scale factor is
known or can be found.
Solve problems
involving unequal
sharing and grouping
using knowledge of
fractions and multiples.
– Measurement
Solve problems
involving the calculation
and conversion of units
of measure, using
decimal notation up to 3
decimal places where
appropriate.
Use, read, write and
convert between
Ratio and Proportion
* Solve problems
involving the relative sizes
of 2 quantities where
missing values can be
found by using integer
multiplication and division
facts.
* Solve problems
involving the calculation of
percentages (for example,
of measures such as 15%
of 360) and the use of
percentages for
comparison.
* Solve problems
involving similar shapes
where the scale factor is
known or can be found.
* Solve problems
involving unequal sharing
and grouping using
knowledge of fractions and
multiples.
Algebra
* Use simple formulae
* Generate and describe
linear sequences
* Express missing
number problems
algebraically
* Find pairs of numbers
that satisfy an equation
with 2 unknowns
* Enumerate possibilities
of combinations of 2
variables
Statistics –
data/timetables
* Interpret and construct
pie charts and line
graphs and use these to
solve problems.
*Calculate and interpret
the mean as an average.
N/A
N/A
N/A
N/A
N/A
Revision with a focus on problem solving
Fractions
To compare and order
fractions, including
fractions >1
To use common factors to
simplify fractions; use
common multiples to
express fractions in the
same denominations
To associate a fraction with
division and calculate
decimal fraction
equivalents for a simple
fraction.
To add and subtract
fractions with different
denominators and mixed
numbers, using the concept
of equivalent fractions
Multiply simple pairs of
proper fractions, writing
the answer in its simplest
form (e.g. ¼ x ½ =1/8)
Divide proper fractions by
whole numbers, e.g. 1/3 ÷
2 = 1/6 * Identify the value
of each digit in numbers
given to 3 decimal places
and multiply and divide
numbers by 10, 100 and
1000 giving answers up to
3 decimal places.
Recall and use
equivalences between
– Geometry
Recognise, describe and
build 3D shapes,
including nets.
Describe positions on the
full coordinate grid (all 4
quadrants)
Draw and translate
simple shapes on the
coordinate plane, and
reflect them in the axis.
Statistics –
data/timetables
Interpret and construct
pie charts and line
graphs and use these to
solve problems.
Calculate and interpret
the mean as an average.
Summer 1
Geometry – circles and
angles
Compare and classify
geometric shapes based
on their properties and
sizes and find unknown
angles in any triangles,
quadrilaterals, and
regular polygons
Illustrate and name parts
of circles, including
radius, diameter and
circumference and know
that the diameter is twice
the radius
Recognise angles where
they meet at a point, are
on a straight line, or are
vertically opposite, and
find missing angles
– Geometry
Recognise, describe and
build 3D shapes,
including nets.
Describe positions on the
full coordinate grid (all 4
quadrants)
Draw and translate
simple shapes on the
coordinate plane, and
reflect them in the axis.
Statistics –
data/timetables
Interpret and construct
pie charts and line
graphs and use these to
solve problems.
Calculate and interpret
the mean as an average
Divide numbers up to 4
digits by a two-digit
number using the formal
written method of short
division where appropriate,
interpreting remainders
according to the context.
Solve addition and
subtraction multi-step
problems in context,
deciding which operations
and methods to use and
why.
Use estimation to check
answers to calculations and
determine, in the context of
a problem, an appropriate
degree of accuracy.
Ratio and Proportion
Solve problems involving
the relative sizes of 2
quantities where missing
values can be found by
using integer
multiplication and division
facts.
Solve problems involving
the calculation of
percentages (for example,
of measures such as 15%
of 360) and the use of
percentages for
comparison.
Solve problems involving
similar shapes where the
scale factor is known or
can be found.
Solve problems involving
unequal sharing and
grouping using knowledge
of fractions and multiples.
– Measurement
Solve problems involving
the calculation and
conversion of units of
measure, using decimal
notation up to 3 decimal
places where appropriate.
Use, read, write and
convert between standard
units, converting
measurements of length,
mass, volume and time
from a smaller unit of
measure to a larger unit,
and vise versa, using
decimal notation up to 3
decimal places
standard units,
converting
measurements of length,
mass, volume and time
from a smaller unit of
measure to a larger unit,
and vise versa, using
decimal notation up to 3
decimal places
Convert between miles
and kilometres
simple fractions, decimals
and percentages, including
in different contexts.
Algebra
Use simple formulae
Generate and describe
linear sequences
Express missing number
problems algebraically
Find pairs of numbers that
satisfy an equation with 2
unknowns
Enumerate possibilities of
combinations of 2
variables
Fractions
To compare and order
fractions, including
fractions >1
To use common factors
to simplify fractions; use
common multiples to
express fractions in the
same denominations
To associate a fraction
with division and
calculate decimal
fraction equivalents for a
simple fraction.
To add and subtract
fractions with different
denominators and mixed
numbers, using the
concept of equivalent
fractions
Multiply simple pairs of
proper fractions, writing
the answer in its simplest
form (e.g. ¼ x ½ =1/8)
Divide proper fractions
by whole numbers, e.g.
1/3 ÷ 2 = 1/6 * Identify
the value of each digit in
numbers given to 3
decimal places and
multiply and divide
numbers by 10, 100 and
1000 giving answers up
to 3 decimal places.
Recall and use
equivalences between
simple fractions,
decimals and
percentages, including in
different contexts.
Algebra
Number – number and
place value
Read, write, order and
compare numbers up to 10,
000,000 and determine the
value of each digit
Round any whole number
to a degree of accuracy
Use negative numbers in
context and calculate
intervals across 0
Solve number and practical
problems that involve all of
the above
– Addition, subtraction,
multiplication and
division
Multiply multi-digit
numbers up to 4 digits by a
two-digit whole number
using the formal written
method of long
multiplication
Divide numbers up to 4
digits by a two-digit whole
number using the formal
written method of long
division and interpret
remainders as whole
number remainders,
fractions, or by rounding,
as appropriate for the
context.
Divide numbers up to 4
digits by a two-digit
number using the formal
written method of short
division where appropriate,
interpreting remainders
according to the context.
SAT’s
Band 7 place value
Rounding numbers using
significant figures.
Solving problems and
equations using trial and
improvement methods.
Using significant figures
to estimate the answers
to difficult calculations
Understanding that all
measurements are
approximate. Finding the
bounds between which a
rounded measurement
lies.
Looking at powers
beyond squares and
cubes. Introducing the
laws of indices - dealing
with multiplication,
division and brackets.
Band 7 fractions
Dividing one fraction
by another.
Multiplying two
decimals
N/A
Convert between miles and
kilometres
Summer 2
Band 7 algebra
Linking coordinates,
equations and graphs by
plotting simple lines.
Linking coordinates,
equations and graphs by
plotting lines with
different gradients.
Simplifying expressions
such as a+a+b+b+b.
Simplifying expressions
such as 2a×3a.
Expanding by
multiplying a term over a
single brackets such as
3(3x-2).
Expanding and
simplifying expressions
such as (3x+2)(2x+5).
Factorising by taking out
common factors.
Understanding how to
solve equations where
the variable appears on
both sides.
Band 7 ratio and
proportion
Using multipliers to
calculate percentage
increases and decreases.
Writing one number as a
percentage of another, and
working out the change as
a percentage.
Calculating densities using
the formula mass divided
by volume.
Use simple formulae
Generate and describe
linear sequences
Express missing number
problems algebraically
Find pairs of numbers
that satisfy an equation
with 2 unknowns
Enumerate possibilities
of combinations of 2
variables
Band 7 measurement
Understanding and using
simple interest,
sometimes called flat
rate.
Knowing that people can
be paid in different
ways. Understanding
wages and salaries.
Looking at other ways of
earning money,
including piecework,
commission and casual
work.
Looking at different
ways to pay for goods
such as cash, credit cards
and hire purchase.
Learning to manage your
money based on good
budgeting will help you
make better use of your
earnings and avoid
getting into debt.
Solve addition and
subtraction multi-step
problems in context,
deciding which operations
and methods to use and
why.
Use estimation to check
answers to calculations and
determine, in the context of
a problem, an appropriate
degree of accuracy.
Band 7 geometry
Compare and classify
geometric shapes based on
their properties and sizes
and find unknown angles
in any triangles,
quadrilaterals, and regular
polygons
Alternate angles,
supplementary angles and
corresponding angles on
parallel lines. Discover
your own rules.
Internal and external
angles of polygons.
Understand and use the
formula for the sum of the
interior angles of a polygon
with n sides.
The circumference of a
circle is PI × diameter.
The area of a circle relies
on a value called PI which
is roughly
3.14159265358979323
Understanding rotational
symmetry and rotating
simple shapes.
Year 7 statistics
Types of data,
advantages and
disadvantages of primary
and secondary data, and
population, census and
sample.
How to take a random,
systematic or stratified
sample from a
population.
Designing
questionnaires, and
problems including bias
and missing data.
Scatter graphs and
correlation. An excellent
way to show whether or
not two sets of data are
linked in some way, or
correlated.
Drawing the line of best
fit through the mean
point, and finding the
equation of the line.
Band 7 probability
Using words and ideas of
probability and the
probability scale.
Listing outcomes from
two events using sample
space diagrams.
N/A
N/A