Curriculum Summary
for Mathematics at Brewood Middle School.
Year 5
The emphasis is on
problem solving, reasoning communicating.
Be able to use all
4 operations, +, -, x, ¸, to solve simple
word problems involving numbers and quantities including weight, capacity and
time, explaining methods and reasoning. Know that integers are whole counting
numbers. Collecting and analysing personal data, drawing appropriate graphs.
Number and Algebra:
Multiply and
divide whole numbers and decimals mentally by 10, 100 or 1000 and understand
the effect. Order a given set of positive and negative numbers. Use decimal
notation for tenths and hundredths. Round a number with one or two decimal
places to the nearest integer. Rounding numbers to the nearest 10, 100 or 1000.
Finding a fraction
of a diagram, equivalent fractions and converting between fractions, decimals
and percentages.
Learn, develop and
practice effective strategies for mental and written calculations of addition,
subtraction, multiplication and division of whole numbers and decimals where
appropriate.
Number properties
including even, odd, multiple, factor and square number.
Space and
Space:
Understand area
measured in square centimetres (cm²): understand and use the formula in words
“length x width” for the area of a rectangle.
Recognise parallel
and perpendicular lines and properties of shapes such as squares, rectangles,
parallelogram, rhombus, kite and trapezium.
Plotting
coordinates in the first quadrant and solving simple associated problems.
Construction of
nets for 3D shapes and simple associated problems.
Time – reading analogue
clocks, 24-hour clocks and digital clocks, converting from one time to another.
Calendars and dates.
Year 6
The emphasis is on
problem solving, reasoning communicating. Pupils should identify and use
appropriate operations (+, -, x, ¸), including combinations of operations, to solve word
problems involving numbers and quantities including weight, capacity and time,
explaining methods and reasoning. Know that integers are whole counting numbers.
Solve a problem by
extracting information presented in tables, graphs and charts.
Simple probability
problems.
Solve problems
related to average and range.
Number and
Algebra:
Revise the multiplication
and division of whole numbers and decimals mentally by 10, 100 or 1000 and
understand the effect. Order a given set of positive and negative numbers.
Order a mixed set of numbers with up to 3 decimal places. Able to use negative
numbers in real life contexts. Reduce a fraction to its simplest form by
cancelling common factors. Converting between fractions decimals and
percentages, knowing the following conversions off by heart: ½, ¼, ¾, 1/10,
2/10, 3/10, etc, 1/5, 2/5, 3/5 and 4/5.
Learn, develop and
practice effective strategies for mental and written calculations of addition,
subtraction, multiplication and division of whole numbers and decimals where
appropriate. Pupils will work towards using the standard written method of
calculation, provided the concept is appropriate to their ability.
Number properties including
even, odd, multiple, factor, prime, square number and square root.
Space and
Space:
Understand area
measured in square centimetres or metres (cm² or m²). Calculate the area and
perimeter of simple compound shapes made up of rectangles. Volume of a cuboid.
Recognise parallel
and perpendicular lines and properties of shapes such as squares, rectangles,
parallelogram, rhombus, kite and trapezium. Know the names of all common
polygons and some of their properties; triangles, quadrilateral, pentagon, hexagon
and octagon.
Plotting
coordinates in all four quadrants. Solving problems associated with
coordinates, extending to finding the equation of a line.
Construction of
nets for 3D shapes and simple associated problems.
Year 7
The emphasis is on
problem solving, reasoning communicating. Pupils should identify and use
appropriate operations (+, -, x, ¸), including combinations of operations, to solve word
problems involving numbers and quantities including time, weight, capacity and
time, explaining methods and reasoning.
Pupils are taught
to collect, represent and interpret data, to solve problems involving average
and range and to calculate simple probabilities. Pupils will learn how to
calculate the probability of an event in an experiment and in theory.
Interpreting and
constructing graphs, including scatter graphs, percentage bars and pie charts.
Number and
Algebra:
Fractions,
decimals, percentages, ratio and proportion. Compare and order decimals; place
value, ordering and rounding.
Multiplying and
dividing by 10, 100 and 1000. Metric conversions from one unit to another.
Learn, develop and
practice effective strategies for mental and written calculations of addition,
subtraction, multiplication and division of whole numbers and decimals where appropriate.
Multiplication and division of decimals. Using division to convert a fraction
into a decimal. Order of operations.
Using EXCEL to
generate number sequences. Characteristics of a number sequence. Finding the
general term of a sequence. Using letters to represent numbers. Solving
equations. Simplifying expressions, collecting terms and multiplying out
brackets.
Number properties
including even, odd, multiple, factor, prime, triangular number, square number,
cube number and square root.
Space and
Space:
Pupils learn to
identify geometrical shapes and perform calculations associated with them.
Identify alternate and corresponding angles; understand a proof that the sum of
the angles of a triangle is 180° and of a quadrilateral is 360°.
Measures of
length, angle, area and volume are investigated. Pupils are taught to find the
area of rectangles, parallelograms, triangles and shapes composed of these
shapes. The area and circumference of a circle is investigated with some
pupils.
Pupils learn about
reflective and rotation symmetry, transforming shapes using reflection,
rotation and translation. Identify parallel and perpendicular lines.
Pupils learn
compass and ruler constructions including bisecting angles, drawing triangles
given length of 3 sides and a constructing perpendicular bisector.
Pupils are
introduced to Pythagoras’ Theorem and begin to understand graphs of the form
y=mx+c.
Year 8
The emphasis is on
problem solving, reasoning communicating whilst developing mental maths skills
and strategies. Pupils will learn about the 4 phases in data collection. They
will construct on paper and using ICT a range of graphs and charts, identifying
which graphs are most useful in the context of the problem. Pupils will learn
how to calculate the probability of an event in an experiment and in theory.
They will record all possible mutually exclusive outcomes for single events and
two successive events in a systematic way, and know how to derive the
probability from these outcomes.
Number and
Algebra:
Develop and
improve arithmetic skills in all four rules of whole numbers, decimals,
fractions and negative numbers. Calculate a percentage of an amount, percentage
increase and decrease and percentage change. Find the percentage that one
amount is of another. Comparing and ordering percentages, decimals and
fractions.
Dividing a
quantity into two or more parts in a given ratio; using the unitary method to
solve simple word problems involving ratio and proportion.
Rounding numbers,
decimal places and significant figures.
Using letters to
represent numbers, substitution and evaluating expressions. Finding the general
term of a sequence. Solving equations, including unknowns on both sides of the
equation. Simplifying expressions, collecting terms, dealing with powers,
multiplying out brackets and simple factorising.
Plot graphs of
linear functions. Recognise equations in the form y=mx+c correspond to
straight-line graphs and explore patterns using Omnigraph. Some pupils will
learn how to use the gradient and intercept to derive equation of a graph.
Space and
Space:
Identify alternate
and corresponding angles; understand a proof that the sum of the angles of a
triangle is 180° and of a quadrilateral is 360°. Solve a variety of geometry
problems involving straight lines, triangles, parallel lines and full turns.
Pupils learn the
effect of transforming a shape by reflection, rotation, translation and
enlargement.
We deduce and use
the formulae for the area of rectangle, parallelogram, triangle and trapezium,
and the volume of a cuboid; calculate volumes and surface areas of cuboids.
Some pupils work out the areas and circumference of circles and the volume of
prisms including cylinders.
Pupils learn
compass and ruler constructions including bisecting angles and lengths and
constructing perpendicular lines from a variety of locations.
Some pupils learn
to apply Pythagoras’ Theorem to solve a variety of problems.