Download CURRICULUM SUMMARY * September to October 2008

CURRICULUM SUMMARY – January to April 2017
SUBJECT: Mathematics Extended / Additional
Week
Dates
1
2-5 Jan
2
9 -13 Jan
YEAR GROUP: Y11
Learning objectives
Activities (in brief)
BEARINGS AND TRIGONOMETRY - REVISION
 Know and understand the sine, cosine and
tangent ratios for an acute angle of a rightangled triangle.
 Know and use the concept of an angle of
elevation and an angle of depression.
 Extend sine and cosine values to angles between
90° and 180°.
 Know and use sine and cosine rules
 Know and use formula for an area of a triangle
Applying Pythagoras’ theorem and the sine, cosine and tangent
ratios for acute angles to the calculation of a side or of an angle of
a right-angled triangle.
Solving trigonometrical problems in two dimensions involving
angles of elevation and depression.
Solving trigonometrical problems involving sine and cosine rules.
Calculating areas of triangles.
Finding sides and angles of different triangles.
Solving trigonometrical problems involving sine and cosine rules.
Calculating areas of triangles.
Finding sides and angles of different triangles.
Solve trigonometrical problems in three dimensions including
angle between a line and a plane.
1

3
16-20 Jan
4
23-27 Jan
TEACHER: Agata Piskorz
𝐴 = 2 𝑎𝑏𝑠𝑖𝑛(∡𝐶)
Know how to find an angle between a line and a
plane.
CONSTRUCTIONS AND LOCI
 Revise constructions.
 Use the definition of a locus.
 Use the method of intersecting loci for sets of
points in two dimensions.
ALGEBRA AND GRAPHS
 Apply the idea of rate of change to easy
kinematics.
 Understand direct and inverse proportionality.
 Construct and transform complicated formulae
Constructing a triangle given the three sides using ruler and pair of
compasses only.
Constructing other simple geometrical figures from given data
using ruler and protractor as necessary.
Constructing angle bisectors and perpendicular bisectors using
straight edge and pair of compasses only.
Finding sets of points in two dimensions which are:
• at a given distance from a given point
• at a given distance from a given straight line
• equidistant from two given points
• equidistant from two given intersecting straight lines.
Solving problems involving distance-time and speed-time graphs,
acceleration and deceleration. Calculate distance travelled as area
under a linear speed-time graph.
Express direct and inverse variation in algebraic terms and use this
form of expression to find unknown quantities.

and equations.
Give appropriate upper and lower bounds for
data given to a specified accuracy.
5
6
7
30 Jan-3 Feb
6 – 10 Feb
13 - 17 Feb
MOCK EXAMS
MOCK EXAMS
SETS AND PROBABILITY – REVISION
 Basic concepts of set theory - members
(elements) of a set; the empty set; equal sets;
subsets; appropriate notation.
 The universal set. Complement of a set.
 The relationship between sets of natural
numbers, integers, rational numbers and real
numbers.
 Set of prime numbers; multiples and factors.
 Venn diagrams to illustrate set operations. Venn
diagram regions.
Mid-Term Break
SEQUENCES - REVISION
 Know linear sequences, quadratic and cubic
sequences, exponential sequences and simple
combinations of these.
8
20 – 24 Feb
27 Feb -3 Mar
9
6 – 10 Mar
GEOMETRY - REVISION
 Similar figures relationship between lengths,
areas and volumes.
 Surface area of a cuboid, prism, cylinder,
pyramid, cone and sphere.
 Area and volume of compound solids.
10
13 – 17 Mar
STATISTICS- REVISION
Transforming formulae where the subject appears twice.
Manipulating algebraic fractions.
Factorising and simplifying rational expressions.
Obtain appropriate upper and lower bounds to solutions of simple
problems given data to a specified accuracy.
Use language, notation and Venn diagrams to describe sets and
represent relationships between sets.
Using the set-builder notation of sets e.g. A = {x: x is a natural
number} B = {(x,y): y = mx + c} C = {x: a < x < b}. Using correct
symbols : ; ; 𝐴′ ∅; 𝐴 ⊂ 𝐵; 𝐴 ⊆ 𝐵; 𝐴 ∩ 𝐵; 𝐴 ∪ B.
Shading regions in Venn diagrams – Interactive White Board
activity.
Solving practical problems – numbers in regions of Venn diagrams.
Using the set builder notation.
Problem solving with Venn diagrams.
Continue a given number sequence.
Recognise patterns in sequences and relationships between
different sequences.
Find the nth term of sequences.
Use sequences to solve practical problems.
Calculating lengths of similar figures. Using the relationships
between areas of similar triangles, with corresponding results for
similar figures and extension to volumes and surface areas of
similar solids. Carrying out calculations involving the volume of a
cuboid, prism and cylinder and the surface area of a cuboid and a
cylinder. Carrying out calculations involving the surface area and
volume of a sphere, pyramid and cone. Carry out calculations
involving the areas and volumes of compound shapes.
Using trigonometry to find unknown lengths or angles.
Revising properties of angles and polygons.
Calculating the mean, median, mode and range for individual and
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11
12
13
20 – 24 Mar
27 – 31 Mar
3 – 7 Apr
Know and interpret the mean, median and mode
for discrete data and distinguish between the
purposes for which they are used.
Know the mean for grouped and continuous data.
Know the modal class from a grouped frequency
distribution.
Construct and use cumulative frequency
diagrams.
Understand what is meant by positive, negative
and zero correlation with reference to a scatter
diagram.
Find and use the line of best fit.
REVISION
REVISION
REVISION
discrete data. Calculating quartiles and interquartile range for
individual and discrete data. Calculating an estimate of the mean
for grouped and continuous data. Identifying the modal class from
a grouped frequency distribution. Constructing cumulative
frequency tables. Drawing cumulative frequency diagrams.
Estimate and interpret the median, percentiles, quartiles and
inter-quartile range. Drawing scatter diagrams.
Estimating correlation form the scatter diagram.
Drawing a straight line of best fit by eye.
Solving past paper problems.
Solving past paper problems.
Solving past paper problems.