Download Module 5 Revision Check

Top Tips for Revision
Year 11 Intermediate
Module 5
DO: Learn all formulae off by heart
(remember look, cover, write, check).
DON’T: Just read through your book.
DO: Read your class notes and practise
relevant questions.
DON’T: Ignore topics that you think you
know, practise them as well.
DO: Use your revision guide and
workbook.
DON’T: Set unrealistic targets.
DO: Reward yourself at the end.
DON’T: Revise in front of the TV, find a
quiet place.
DO: Plan your revision carefully, think
about the topics you may need to spend
more time on.
And finally..…
Good Luck!
8
Number & Algebra
Shape, Space
& Measures
Revision Check
Intermediate tier
Module 5 Number & Algebra
Use this list as a guide to your revision. Tick each
one when you are confident about that area.
Using and applying number and algebra
◊ Use algebra to solve a problem; set up and solve an
equation
◊ Estimate the answers to calculations and present answers to a sensible level of accuracy
◊ Use algebraic notation and symbols correctly
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Recognise constraints or assumptions made when
solving a problem
Numbers and the number system
◊ Use factors, multiples and common factors
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Use the terms square, positive square root, cube, cube
root
Use index notation and standard index form
Know your rules for multiplying and dividing numbers
in index form; x3 x x2 = x5
Understand equivalent fractions, order fractions and
simplify fractions
Find percentages
Equations, formulae and identities
◊ Collect like terms in algebraic expressions
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Expand brackets; (x + 2)(x + 1) = x2 + 3x + 2
Factorise simple equations; 9x - 3 = 3(3x - 1)
Factorise quadratics; x2 - 9 = (x + 3)(x - 3)
Cancel common factors in rational expressions; 2(x +
1)2 / (x + 1) = 2(x + 1)
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Measures and construction
◊ Recognise the degree of accuracy given to a measurement
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Convert measurements from one unit to another
Use compound measures including speed and density
Draw lines, angles, triangles and other 2-D shapes; construct
cubes, regular tetrahedral, square-based pyramids and other 3-D
shapes
Use straight edge and compasses to do standard constructions
including equilateral triangle with a given side, the midpoint and
perpendicular bisector of a line segment, the perpendicular from
a point to a line, the perpendicular from a point on a line and the
bisector of an angle
Find the surface area of simple shapes by using the formulae for
the areas of triangles and rectangles
Find the volumes of cuboids, right prisms and of shapes made
from cubes and cuboids
Convert between volume measures including cm3 and m3
Find circumferences of circles and areas enclosed by circles
Find loci to produce shapes and paths
Transformations and coordinates
◊ Understand that rotations are specified by a centre and an
(anticlockwise) angle
◊ Use any point as the centre of rotation
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Measure the angle of rotation using right angles or fractions of a
turn or degrees
Understand that reflections are specified by a mirror line, such as
y = x or y = -x line
Understand that translations are specified by a distance and direction (or a vector)
Understand that enlargements are specified by a centre and
positive scale factor
Recognise and visualise rotations, reflections and translations,
including reflection symmetry of 2_D and 3_d shapes, and rotation symmetry of 2_D shapes
Transform triangles and other 2-D shapes by translation, rotation
and reflection and combinations of these transformations
Distinguish properties that are preserved under particular transformations
Recognise, visualise and construct enlargements of objects using positive fractional scale factors
Recognise that enlargements preserve angle but not length
Identify the scale factor of an enlargement as the ratio of the
lengths of any two corresponding line segments
Understand the implications of enlargement for perimeter
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Use and interpret maps and scale drawings
Understand the difference between formulae for perimeter, area
and volume by considering dimensions
Use axes and coordinates to specify points in all four quadrants
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6
Change the subject of a formula
Find exact solutions using simultaneous equations
Represent the solution set to a simple linear inequality on
a number line
Solve quadratic equations by factorisation
Find approximate solutions of equations using trial and
improvement
Sequences, functions and graphs
◊ Generate terms of a sequence using term-to-term and position-to-term
◊ Generate sequences for square and triangular numbers,
powers of 2 and 10
◊ Find the nth term of a sequence
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Find the coordinates of the mid-point of a line segment AB, given
the points A and B, then calculate the length AB
Understand and use vector notation
Know the meaning of and use the words ‘equation’,
‘formula’, ‘identity’ and ‘expression’
Substitute positive and negative numbers into expressions such as 3x2 + 4 and 2x3
Solve equations with integer or fractional coefficients on
either one side or on both sides of equation
Form an equation from problems expressed in words
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Plot coordinates in all four quadrants
Recognise the shapes of linear, quadratic, cubic and reciprocal graphs
Plot graphs of linear and quadratic functions
Recognise equations in the form y = mx + c. Find the
gradient and y-intercept
Construct linear functions and plot the corresponding
graph
Interpret graphs showing trends, conversion graphs, distance-time graphs, the depth of water in a container as it
empties, and graphs of quantities that vary against time
Construct the graphs of simple loci
Module 5 Shape, space and measures
Geometrical reasoning
◊ Recall and use the properties of angles at a point, angles on
a straight line (including right angles), perpendicular lines,
and opposite angles at a vertex
◊ Distinguish between line and line segments
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Use parallel lines, alternate angles and corresponding angles
Understand the properties of parallelograms and a proof that
the angle sum of a triangle is 180º
Understand a proof that the exterior angle of a triangle is
equal to the sum of the interior angles at the other two vertices
Use angle properties of equilateral, isosceles and rightangled triangles
Understand congruence
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Explain why the angle sum of any quadrilateral is 360º
Recall the definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium and rhombus; classify quadrilaterals by their geometric properties
Calculate and use the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons; calculate
and use the angles of regular polygons.
Understand, recall and use Pythagoras’ theorem in 2-D
problems
Investigate the geometry of cuboids including cubes, and
shapes made from cuboids
Understand the similarity of triangles
Use trigonometrical relationships in right-angle triangles and
use these to solve problems including those involving bearings
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Recall the definition of a circle and the meaning of related terms,
including centre, radius, chord, diameter, circumference, tangent
arc, sector and segment
Understand that the tangent at any point on a circle is perpendicular to the radius at that point
Understand and use the fact that tangents from an external point
are equal in length
Explain why the perpendicular from the centre to a chord bisects
the chord
Understand that inscribed regular polygons can be constructed
by equal division of a circle
Use the facts that the angle subtended by an arc at the centre of
a circle is twice the angle subtended at any point on the circumference, the angle subtended at the circumference by a semicircle is a right angle, that angles in the same segment are equal,
and that opposite angles of a cyclic quadrilateral sum to 180 degrees
Use 2-D representations of 3-D shapes and analyse 3-D shapes
through 2-D projections and cross-sections, including plan and
elevation
Solve problems involving surface area and volumes of prisms
and cylinders