KS3 Vocabulary checklist - Count On

Vocabulary checklist

Year 7

This list contains the key words used in the Year 7 teaching programme and
supplement of examples. Some words will be familiar to pupils in Year 7 from earlier
work. For definitions of the words you will need to refer to a mathematical dictionary or
to the National Curriculum glossary on the QCA website at www.qca.org.uk.

Applying mathematics Integers, powers and roots
and solving problems
classify
answer common factor
evidence consecutive
explain divisible, divisibility
explore divisor
investigate factor
method factorise
problem highest common factor (HCF)
reason, reasons integer
results lowest common multiple (LCM)
solution (of a problem) multiple
solve negative (e.g. –6)
true, false plus, minus
positive (e.g. +6)
Numbers and the prime
number system prime factor
property
Place value, ordering and sign
rounding square number, squared
approximate, approximately square root
approximately equal to (≈) triangular number
between
compare Fractions, decimals,
decimal number percentages, ratio and
decimal place proportion
digit
equals (=) cancel, cancellation
greater than (>), less than (<) convert
greatest value, least value decimal fraction
most/least significant digit equivalent, equivalence
nearest fraction
order lowest terms
place value mixed number
round numerator, denominator
tenth, hundredth, thousandth percentage (%)
to one decimal place (to 1 d.p.) proper/improper fraction
value proportion
zero place holder ratio, including notation 3 : 2
simplest form

2 Vocabulary checklist © Crown copyright 2001

Calculations Algebra

add, addition Equations, formulae and
amount identities
brackets algebra
calculate, calculation brackets
calculator: clear, display, enter, commutative
key, memory, equals (=)
change (money) equation
commutative expression
complements (in 10, 100) evaluate
currency prove
difference simplify, simplest form
discount solution (of an equation)
divide, division solve (an equation)
double, halve squared
estimate substitute
exact, exactly symbol
exchange rate term
factor therefore (∴)
increase, decrease unknown
inverse value
multiply, multiplication variable
nearly verify
operation
order of operations Sequences, functions and
partition graphs
product
quotient axis, axes
remainder consecutive
rough, roughly continue
sale price coordinate pair
sign coordinate point
subtract, subtraction coordinates
sum equation (of a graph)
total finite, infinite
function
© Crown copyright 2001 function machine
generate
graph
increase, decrease
input, output
mapping
n th term
origin
predict
relationship, rule
sequence
straight-line graph
term
x-axis, y-axis
x-coordinate, y-coordinate

Vocabulary checklist 3

Shape, space and Transformations
measures axis of symmetry
centre of rotation
Geometrical reasoning: lines, congruent
angles and shapes line of symmetry
line symmetry
adjacent (side) mirror line
angle: acute, obtuse, right, reflex object, image
angles at a point order of rotation symmetry
angles on a straight line reflect, reflection
base (of plane shape or solid) reflection symmetry
base angles rotate, rotation
centre rotation symmetry
circle symmetrical
concave, convex transformation
degree (°) translate, translation
diagonal
diagram Coordinates
edge (of solid) axis, axes
equal (sides, angles) coordinates
face direction
horizonal, vertical grid
identical (shapes) intersecting, intersection
intersect, intersection origin
line, line segment position
opposite (sides, angles) quadrant
parallel row, column
perpendicular x-axis, y-axis
plane x-coordinate, y-coordinate
point
polygon: pentagon, hexagon, Construction and loci
octagon construct
quadrilateral: arrowhead, delta, draw
kite, parallelogram, rectangle, measure
rhombus, square, trapezium net
regular, irregular perpendicular
shape protractor (angle measurer)
side (of 2-D shape) ruler
solid (3-D) shape: cube, cuboid, set square
cylinder, hemisphere, prism, sketch
pyramid, square-based pyramid,
sphere, tetrahedron
three-dimensional (3-D)
triangle: equilateral, isosceles,
scalene, right-angled
two-dimensional (2-D)
vertex, vertices
vertically opposite angles

4 Vocabulary checklist © Crown copyright 2001

Measures and mensuration Handling data
area: square millimetre, square
centimetre, square metre, average
square kilometre bar chart
capacity: millilitre, centilitre, litre; bar-line graph
pint, gallon class interval
length: millimetre, centimetre, data, grouped data
metre, kilometre; mile data collection sheet
mass: gram, kilogram; ounce, database
pound experiment
time: second, minute, hour, day, frequency
week, month, year, decade, frequency chart
century, millennium frequency diagram
temperature: degrees Celsius, interpret
degrees Fahrenheit interval
depth label
distance mean
height, high median
perimeter mode, modal class/group
surface, surface area pie chart
width questionnaire
range
© Crown copyright 2001 represent
statistic, statistics
survey
table
tally
title

Probability

certain, uncertain
chance, no chance, good chance,
poor chance, fifty-fifty chance,
even chance
dice
doubt
equally likely
fair, unfair
likelihood
likely, unlikely
outcome
possible, impossible
probability
probability scale
probable
random
risk
spin, spinner

Vocabulary checklist 5

Year 8

This list contains the new key words introduced in the Year 8 teaching programme and
supplement of examples. Words from earlier years are also used. For definitions, refer
to a mathematical dictionary or to QCA’s glossary at www.qca.org.uk.

Applying mathematics Calculations
and solving problems
associative
conclude, conclusion best estimate
counter-example degree of accuracy
deduce distributive
exceptional case interest
justify profit, loss
prove, proof service charge
sign change key
Numbers and the tax
number system value added tax (VAT)

Place value, ordering and Algebra
rounding
ascending, descending Equations, formulae and
billion identities
index algebraic expression
power collect like terms
formula, formulae
Integers, powers and roots linear equation
cube, cube number linear expression
cube root (e.g. 3√8) multiply out (expressions)
cubed (e.g. 23) prove, proof
prime factor decomposition transform
to the power of n (e.g. 64) verify

Fractions, decimals, Sequences, functions and
percentages, ratio and graphs
proportion arithmetic sequence
direct proportion difference pattern
recurring decimal flow chart
terminating decimal general term
unit fraction gradient
unitary method intercept
linear function
linear relationship
linear sequence
notation T(n)
slope
steepness

6 Vocabulary checklist © Crown copyright 2001

Shape, space and Handling data
measures
continuous
Geometrical reasoning: data log
lines, angles and shapes discrete
alternate angles distance–time graph
bisect, bisector distribution
complementary angles interrogate
congruent, congruence line graph
corresponding angles population pyramid
elevation primary source
equidistant sample
exterior angle scatter graph
heptagon secondary source
interior angle stem-and-leaf diagram
isometric two-way table
mid-point
plan view Probability
prove, proof biased
supplementary angles event
tessellate, tessellation experimental probability
triangular prism sample
view sample space
theoretical probability
Transformations theory
centre of enlargement
enlarge, enlargement Vocabulary checklist 7
map
plan
scale, scale factor
scale drawing

Construction and loci
compasses
construction lines
locus, loci
perpendicular bisector
straight edge

Measures and mensuration
bearing, three-figure bearing
displacement
foot, yard
hectare
tonne
volume: cubic millimetre,
cubic centimetre, cubic metre

© Crown copyright 2001

Year 9

This list contains the new key words introduced in the Year 9 teaching programme and
supplement of examples. Words from earlier years are also used. For definitions, refer
to a mathematical dictionary or to QCA’s glossary at www.qca.org.uk.

Applying mathematics Algebra
and solving problems
Equations, formulae and
generalise identities
trial and improvement and, or
common factor
Numbers and the cubic equation
number system cubic expression
expand the product (of two linear
Place value, ordering and expressions)
rounding factorise
exponent identically equal to (≡)
greater than or equal to (≥) identity
less than or equal to (≤) index law
significant figures inequality
standard (index) form quadratic equation
upper bound, lower bound quadratic expression
region
Integers, powers and roots simultaneous equations
index, indices subject of the formula
index law take out common factors
index notation
Sequences, functions and
Fractions, decimals, graphs
percentages, ratio and cubic function
proportion curve
proportional to (∝) first/second difference
proportionality identity function
inverse function
Calculations inverse mapping
quadratic function
compound interest quadratic sequence
constant maximum/minimum point
cost price, selling price maximum/minimum value
reciprocal self-inverse

8 Vocabulary checklist © Crown copyright 2001

Shape, space and Handling data
measures
bias
Geometrical reasoning: lines, census
angles and shapes cumulative frequency
arc estimate of the mean/median
centre (of circle) interquartile range
chord line of best fit
circumference quartiles
convention raw data
cross-section representative (sample)
definition
derived property Probability
diameter exhaustive
hypotenuse independent
pi (π) limit
plane mutually exclusive
projection notation: p(n) for probability of
Pythagoras’ theorem event n
similar, similarity relative frequency
region tree diagram
radius
region Vocabulary checklist 9
section
sector
segment
similar, similarity
tangent (to a curve)

Transformations
axis of rotation symmetry
plane symmetry
plane of symmetry

Construction and loci
circumcentre
circumcircle
circumscribed
inscribed

Measure and mensuration
adjacent, opposite, hypotenuse
angle of depression
angle of elevation
density
pressure
sine (sin), cosine (cos), tangent
(tan)
speed: miles per hour, metres per
second

© Crown copyright 2001