MATHEMATICS DEPARTMENT
SCHEMES OF WORK : FORM 2
MAIN TEXTBOOK : STP 2A
NUMBER
TOPIC
KNOWLEDGE/SKILLS
ARITHMETIC
Rules of indices (integral values only)
Calculate in Standard Form
Add, subtract, multiply, divide
Pen & paper and calculator skills
required.
Squares & square roots.
Manual calc. of square root to 1 d.p.
by trial & improvement. [NO eqns]
Use of x2 and √x keys on
calculator.
Ratios & equivalence with
fractions.
Division in a given ratio.
RESOURCES
General
Arithmetic
NMG 2
DIRECTED
NOs
Addition, subtraction, multiplication
and division. Use of +/- key on
calculator.
Negative Nos
& graphs.
SUM DICE
SOCIAL
ARITHMETIC
Calculation of profit & loss.
Simple interest and bills, to include
addition of VAT, service charge,
discounts. (NO working back)
Currency. Wages.
Fractions &
Decimals
TOPIC
KNOWLEDGE/SKILLS
RESOURCES
NOTATION
Use of brackets. Multiplying factor
to be both +ve & -ve and
combinations. e.g.
3(2x – 2) – 4(x – 3)
[ Excluding the multiplication of
two brackets.]
Simplify e.g. y/3 x 9y/4
2/t x 5/4t2
Use of formulae.
Negative Nos &
Graphs
NGM 2
ALGEBRA
EQUATIONS &
INEQUALITIES
Setting up and solution of equations.
Using brackets, to include e.g.
3(2x – 2) – 4(x – 3) = 12
x/2 + 3 = 5
x/2 + 3x/4 = 7
Similar simple inequations.
Algebra
GRAPHS
Graphical work in all four quadrants.
Plotting ANY form of the equation
of a line.
Regions (integral intercepts only)
represented by simple linear
inequalities. To include intersection
of regions. Pupils should be able to
“shade” or “leave unshaded”.
Negative Nos &
Graphs
DERIVE program
or GRAPHICAL
CALCULATORS
MEASURES
TOPIC
KNOWLEDGE/SKILLS
CIRCLE
Know the formulae : C = d
C = 2r
A = r2
Calculate circumference and
area given r.
Calculate r given A or C.
Calculate A from C.
Calculate C from A.
Work with sectors as fractions of
circles. Arc length, area & perimeter.
Use  = 22/7, 3.14. Use calculator button.
VOLUME
Volume of prisms with rectangular
or triangular x-section.
(or combinations)
Know the formulae V = r2h
Calculate V, r, or h from knowledge of
the others.
COMPOUND
MEASURES
Work out e.g. average speed,
density
RESOURCES
General Arith.
Area & Vol.
MMS Bk 4
Scissors
Compasses.
MMS Bk 5
Area & Vol.
SPACE & SHAPE
TOPIC
KNOWLEDGE/SKILLS
PYTHAGORAS
Know the theorem and use it when
ANY two sides are known. Integer
and decimal solutions.
Answers given to a sensible degree
of accuracy !!!
Familiarity with the 3,4,5 and 5,12,13
triangles.
Use to calculate the distance between
two points whose co-ords are given.
TRANSFORM
GEOMETRY
Reflections – using mirror lines
drawn in jotter.
Mirror lines in co-ords
x = ± a, y = ± b, y = x, x + y = 0
Rotations – drawings in jotter.
Rotations in co-ords. Centre (0,0)
and OTHERS.
Angle ±90º, ±180º
Enlargement – positive & negative
integer factors.
Centre inside or outside figure.
Practical problems.
Enlargement using co-ords.
RESOURCES
Matrices &
Transforms
GEOMAT
(Use Worksheet)
or DERIVE
Tracing
paper
NGM 2
DATA HANDLING
TOPIC
DATA
KNOWLEDGE/SKILLS
RESOURCES
Collection – use personal data about pupils
Results of simple experiments e.g. coins
Dice, spinners
Interpretation – Mean
roulette wheel.
Median
Mode
Understand the need for different
Stat measures &
averages.
diagrams from
Above from raw data or frequency table.
EXCEL
spreadsheet
Read calendars and timetables.
Inclusive & exclusive dates.
24 hour clock. Easy scheduling.
Ready reckoners – direct & inverse.
Interpolation & extrapolation.
Scatter graphs. Line of best fit by
inspection.
Flow diagrams
PROBABILITY
Elementary one-event from sample
space.
Compare experimental & theoretical
Probability.
Outcome of TWO events by listing or
A table
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.
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.
CALCULATORS
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 the calculator with
negative numbers, the change of sign button, square and square root buttons, and
begin to use the memory.
The Summer written examination (80%) will consist of Question/Answer booklet.
There will also be a non-calculator test of basic arithmetic ( 10% )
JUNE
Extend simple sequences to give nth term
e.g. 1, 4, 7, ………., 3n – 2
½, ⅔, ¾, 4/5, ………, n/(n + 1)