MATHEMATICS DEPARTMENT
SCHEMES OF WORK : FORM 1
MAIN TEXTBOOK : STP 1A
NUMBER
TOPIC
KNOWLEDGE/SKILLS
ARITHMETIC
Recognise numbers in words and
understand the meaning of fractions
and decimals.
Addition, subtraction multiplication
and divison ( including long division )
of integers, fractions and decimals.
Be able to change from fractions to
decimals and vice-versa. Understand
the equivalence of fractions e.g.
½ = 3/6
Mental arithmetic, pen & paper and
calculator work .
Recognise that multiplication can
reduce and that division can increase.
Order of precedence of operations.
Expressing as a percentage and finding
a percentage of …..
Number order.
Understand and use  and 
Factors, primes, multiples.
Integers as products of primes.
HCF, LCM of 2, 3 numbers
( NO PROBLEMS)
POWERS
The idea of squares and cubes
Powers of integers.
Use of indices.
RESOURCES
Fractions &
Decimals
Progress in
Maths 1G
STP 2
General
Arithmetic
NUMBER
TOPIC
KNOWLEDGE/SKILLS
RESOURCES
DIRECTED
NUMBERS
Negative numbers as directed
numbers. Application to daily life.
Order on the number line extended
to negative numbers.
Standard Form ( Scientific Form )
Ability to write large & small nos
and to interpret the form.
Understand the way a calculator
displays form.
Negative Nos &
Graphs
DECIMAL
SYSTEM
Money. (Stress constant use of TWO
places.i.e. £3.60 not £3.6 ).
Family finance – evaluate simple
bills. ( No VAT )
Decimal systems of length, area,
volume, and mass.
Relations between units.
APPROXS
Approximation to nearest whole
number, 10, 100, 25 etc.
Approximation to dec. places,
significant figures.
Reading a calculator to a given
approximation.
Approximate figures to estimate
answers e.g. estimate 7.9 x 3.2 as
8 x 3.
General
Arithmetic
TOPIC
KNOWLEDGE/SKILLS
RESOURCES
NOTATION
Letters for numbers. Addition &
subtraction of like terms e.g.
a + 2a + 4a = 7a
Multiplication
e.g. a x b written as ab.
Division e.g a  b = a/b
Positive powers.
Formulae expressed in words
e.g. twice x = 2x
five more than x = x + 5
Algebra
STP2
ALGEBRA
ALGEBRA
TOPIC
KNOWLEDGE/SKILLS
RESOURCES
NOTATION
Evaluating simple algebraic
expressions. Easy number
patterns. Easy sequences.
Algebra
NGM Bk 1
EQUATIONS
Simple linear (No brackets)
e.g. 2x + 7 = 13
Problems inc. SETTING UP equations.
CO-ORDINATES
Cartesian only. Plotting points in all
four quadrants.
Drawing lines with simple equations
e.g. y = x + 2, x + y = 4
Graph books
Negative Nos &
Graphs
DERIVE or
Graphical calcs.
TOPIC
KNOWLEDGE/SKILLS
RESOURCES
UNITS
Estimate lengths and decide which
units to use.
Know units for length, area, volume
and mass.
Understand that all measurements
have errors (e.g. 8 cm = 8  0.5 )
Consider the effects of errors on
area and volume.
Use rough conversion factors of
Metric/Imperial
e.g. 5 miles  8 km
1 kg  2.2 lb etc.
Geometric
Instruments
Tape measure
Metre stick
General
Arithmetic
AREA
Calculate areas of rectangles,
Triangles, parallelograms and shapes
created from above.
Perimeter
STP 2A
Area & Vol
Spreadsheet to.
find A & P from
length & breadth
VOLUME
Cuboids
Approximate methods for both
area and volume.
SCALE
DRAWING
Drawings of rooms in houses.
Drawings from given data.
Journeys.
Use to find e.g. height of gym
MEASURES
Fractions &
Decimals
Clinometer
SPACE & SHAPE
TOPIC
KNOWLEDGE/SKILLS
RESOURCES
PLANE
Drawing and measurement of
lines, circles,& triangles from given
data. Idea of perpendicular.
Angles of all types – right, acute, obtuse,
reflex, complementary & supplementary.
Angles of elevation & depression.
Use of a protractor and drawing
compasses.
Angle properties of a triangle.
Isosceles, equilateral, scalene triangles.
Angle properties of parallel lines.
Angle properties of a parallelogram,
rhombus. Names and sum of angles
of polygons. Regular polygons.
Geometric
Instruments
SOLID
GEOMETRY
Names of solids – cuboid, cone,
cylinder, prism, sphere, pyramid.
Nets of cube, tetrahedron,
triangular prism, square-based
pyramid.
Plastic models
available.
Stiff card
Isometric paper
Scissors
TRANSFORM
GEOMETRY
Tessellations
Line & rotational symmetry.
Reflection & rotations (No precise
use of co-ordinates but can be done
on graph paper) – to include the
symmetry of triangles and simple
polygons. Translations & vectors.
Properties of the rectangle & square
through reflection & rotation.
Tracing paper
GEOMAT
program very
useful
Geometry &
Trigonometry
DATA HANDLING
TOPIC
KNOWLEDGE/SKILLS
RESOURCES
DATA
Reading tables & lists
Organisation – tally marks
Frequency table
Representation – Pictogram
– bar chart
– pie chart
– line graph.
Timetables
Statistics &
Probability
Diagrams can be
created from
spreadsheets.
PROCESSES
Pupils should be given the opportunity to persue simple Mathematical investigations,
communicating what they have discovered in writing. Most of the investigations
should arise naturally out of current work but there is also room for the interests and
enthusiasms of the Teacher and/or pupils.
In Form 1 ONE investigation only (10% ) will count towards the Summer
examination –
Remember that Mathematical processes should be going on all the time !
Mathematics is about problem-solving. The most important “process” is the
identification of the necessary technique(s) and/or equipment.
MENTAL SKILLS should be exercised regularly – both the ability to retain and
follow verbal instructions and to discuss Mathematics orally.The development of
strategies to simplify calculations (eg 17 x 9 as 170 – 17 etc) important.
CALCULATORS
Pupils should be encouraged to get a SCIENTIFIC CALCULATOR as soon as
possible – even if they are not allowed to use them always !
The calculator is to be regarded as a tool and not a prop. Where it can be used to
extend or enhance the work this should be encouraged, but thorough understanding of
processes should usually precede the use of a calculator in normal work.
By the end of the year pupils should be fluent in the use of addition, subtraction,
multiplication, division, square and square root keys and sequences of the same.
The Summer written examination (80%) will consist of Question/Answer booklet.
There will also be a non-calculator test of basic arithmetic ( 10% )
JUNE
This month can be used to further build on numeracy and algebraic skills.