set 3 y10 & 11 higher r = recap level 6; c = core level 7 ... theorem & trigonometry r: ......
TRANSCRIPT
Set 3 R = Recap level 6; C = Core level 7 (bold); E = Extension level 8 (italics) http://www.cimt.plymouth.ac.uk/projects/mepres/allgcse/allgcse.htm
Y10 & 11 Higher GCSE SOW
Date Topic Notes Examples Student
Reference Resources 24th Jun – 23rd Jul Change of timetable. Summer Term of Y9
1. INDICES: STANDARD
FORM
R: Squares, cubes; square roots, and
cube roots
C: Index notation
Laws of indices
E: Standard form
Positive integers only
Positive integer powers only
With and without calculator including negative indices
Find 32 , 23, √25; √492
; √643
Find HCF of 216 and 240
Simplify a5 a3; m4 m2
Evaluate 2.762 1012 4.97 1021(cal.)
Evaluate 2.8 104 7 106 (no cal.)
Evaluate 2.8 104 7 106 (no cal.)
Ex 13, 14 p14-18 (HCF, LCM etc) Ex 13 p14 (roots) Ex1,2 p354-355 (indices) Ex18,19 p68-71 (standard form)
There is teacher support material for
each unit, including teaching notes,
mental tests, practice book answers, lesson plans, revision tests &
activities. The teacher support
material is available HERE
Clip 44 Factors, Multiples and
Primes
Clip 95 Product of Prime Factors
Clip 96 HCF & LCM
Clip 99 Four rules of Negatives
Clip 45 Evaluate Powers
Clip 46 Understanding Squares,
Cubes & Roots
Clip 111 Index Notation for
Multiplication. & Division
Clip 135 Standard Form Calculations
Clip 156 Fractional & Negative
Indices
23rd Jul – 4th Sept
SUMMER HOLIDAYS
9th Sept (Y10)
2. FORMULAE: ALGEBRAIC
FRACTIONS
R: Construct & use simple formulae
C: Substitution of any number into
simple formulae
E: More complex formulae:
C: Change of subject
E: More complex change of subject
E: Common term factorisation
Opportunity for revision of
negative numbers, decimals, simple fractions.
Subject appears only once
Find the perimeter of this rectangle given n = 5
Given q – 2, v 21, find the value of √v2 q2.
More complex formulae: Given u 2 , v 3, find f when 1 = 1 + 1
f u v
Simple: make x the subject of y = mx + c
Complex version: make L the subject of t = 2π√𝐿𝐺
Make v the subject of 1 = 1 + 1
f u v
Factorise x3y4 x4y3 x2y
Ex1 p96 (basic of algebra) Ex7 p104 (definitions) Ex24 p75-76 (substitution)
Clip 104 Factorising
Clip 107 Changing the subject of the
Formula
Clip 111 Index Notation for Mult. &
Division
Clip 163 Algebraic Fractions
Clip 164 Rearranging Difficult
Formulae
23rd Sept (Y10)
3. ANGLE GEOMETRY
R: Angle properties of straight lines,
points, triangles, quadrilaterals, parallel
lines
C: Angle symmetry & properties of
polygons
Symmetry properties of 3-D shapes
Compass bearings
C: Basic Circle Theorems
Angle in a semi-circle
Radius is perpendicular to the
tangent
Radius is perpendicular bisector of
chord
Angles in the same segment are
equal
Angle at the centre is twice the angle
at the circumference.
Opposite angles of a cyclic-
quadrilateral add up to 180 .
Include line and rotational symmetry
Use standard convention for
labelling sides & angles of polygons
Easier to calculate the exterior
angle 1st then the interior
Include plane, axis and point Symmetry
8 compass points and 3 figure
bearings
Application of Pythagoras and
Trig. (after Unit 4 has been taught)
Calculate interior angle of a regular octagon/decagon
Describe fully the symmetries of this shape.
Scale drawings of 2-stage journeys
Calculate angles: BDA, BOD, BAD & DBO
Ex1 p157-159 (angles) Ex4 p164-166 (angles in polygons) Ex23-25 p337-343 (circle theorems)
Clip 67 Alternate angles
Clip 68 Angle sum of a Triangle
Clip 69 Properties of Special
Triangles
Clip 70 Angles of Regular Polygons
Clip 150 Circle theorems
28TH Oct – 1st Nov
OCTOBER HALF TERM
4th Nov (Y10)
4. PYTHAGORAS THEOREM &
TRIGONOMETRY
R: Pythagoras Theorem
C: Trigonometry (sin, cos, tan)
Calculate a length & an unknown
angle
E: Know the exact values of sin, cos and tan at key angles
2D only
Angles of elevation and
depression
Bearings
2-D with right-angled triangles
only
SOH – CAH - TOA
Find x
Ship goes from A to B on a bearing 040Bearings for 20 km. How far north has it travelled?
What are sin, cos and tan (0, 30, 45, 60, 90 degrees)?
Ex6-7 p294 (finding the length) Ex8 p297 (finding angles) Ex9 p299 (trig & bearing)
Clip 147 Trigonometry
(Y10)
5. PROBABILITY
R: Simple probability
Complimentary events
Listing combined outcomes of two
events
C: Relative frequency experimental
probability and expected results
Appropriate methods of
determining probabilities
Probability of 2 events
Multiplication law for
independent events
pi 1; p p1
Use tree diagrams/ possibility
space diagram to find all possible outcomes
Using symmetry/experiment
Tree diagrams
By listing, tabulation or tree
diagrams
Sampling with replacement
pheads on fair coin1
2
If prain tomorrow2
3, what is pdry tomorrow?
Complete a possibility space diagram for the sum on two dice. What is the probability of scoring a total of 7?
Do an experiment to find probability of drawing pin landing point up.
If p(rain) =2
3, then we would expect
2
3× 30 = 20 sunny days out of 30.
pace4
52 =
1
31
There are 5 green, 3 red and 2 white balls in a bag. What is the probability of obtaining:
(a) a green ball (b) a red ball (c) a non-white ball?
Find the probability of obtaining a head on a coin and a 6 on a dice.
There are 3 blue and 5 red beads. Find the prob of picking a red then a blue with
replacement.
Rayner: Ch9 p445 MEP Student bk.
Unit 5 Teachers Notes
MEP Text Book NRich
Last One Standing
Mathsland National Lottery
Same Number! Who’s the Winner?
Chances Are Clip 90 List Of Outcomes (Grade D) Clip 132 Experimental Probabilities (Grade C) Clip 154 Tree Diagrams (Grade B) Clip 182 Probability – And & Or Questions (Grade A* - A)
E: Addition law for mutually exclusive
events
Conditional probability; dependent
Events
C: Sets & Venn Diagrams
Enumerate sets and combinations of
sets systematically, using tables, grids, Venn diagrams and tree diagrams."
"Calculate and interpret conditional
probabilities through representation
using expected frequencies with two-
way tables, tree diagrams and Venn
diagrams
Sampling without replacement
Using Venn diagrams
If for a class, psize 6 feet0.2, psize 7 feet0.3
Calculate psize 6 or 7 feet
A bag contains 3 green, 5 red and 8 blue counters. 2 counters are taken from the bag.
Find the probability that
(i) both counters are the same colour (ii) one is green and the other red.
Examples of what pupils should know and be able to do for Venn
Diagrams:
Enumerate sets and unions /intersections of sets systematically, using tables, grids and Venn Diagrams. Very simple Venn diagrams previously KS2 content. Investigate – Venn Diagrams:
ξ = {numbers from 1- 15}; A = {odd numbers}; B = {multiples of 3} and C = {square numbers}
(a) Draw a Venn diagram to show sets A, B & C. You’ll need 3 circles
(b) Which elements go in the overlap of
A & B
A & C
B & C
A, B & C
(c) Try and come up with three different sets where not all of the circles
overlap. How many different Venn diagrams with three circles that
overlap in different ways can you find?
Example:
X is the set of students who enjoy science fiction Y is the set of students who enjoy comedy films The Venn diagrams shows the number of students in each set, work out:
(i) P(X ∩ Y) (ii) P(X U Y)
Example:
One of these 80 students is selected at random. (b) Find the probability that this student speaks German but not Spanish. Given that the student speaks German, (c) Find the probability that this student also speaks French
20th Dec – 3rd Jan (Y10)
CHRISTMAS HOLIDAYS
6th Jan (Y10)
6. NUMBER SYSTEM
R: +, –, , whole numbers including
long multiplication and division
Multiplying and dividing by powers of
10
Rounding off
+, –, , decimals
C: Estimating answers
Use of brackets and memory on a
calculator
E: Upper and lower bounds including
use in formulae
C: Irrational / rational numbers
Surds
Without the use of a calculator
Decimal places and significant
figures
Including area, density, speed
127 23, 465 15
25.62 100, 216.2 10, 14 0.2
Round 1
7 to 2 d.p.; 39.96 to 3 s.f.
9.7 3.86; £3.36 7; £114.81 3 29.4 + 61.2
14.8 ≈
30 + 60
15 ≈ 6
2.5 × 14.3
7.8 + 2.95≈ 3.32558 (𝑡𝑜 5. 𝑑. 𝑝)
9.7 means 9.65 x 9.75
100 metres (to nearest m) is run in 9.8 s (to nearest 0.1 s). Give the range of values within which the runner's speed must lie.
Give examples of irrational numbers between 5 and 6.
Discuss the 2 Set-squares (side lengths: 1,1,√2 and 1, √3, 2)
Show that (i) 0.0̇9̇ (ii) 0.16̇ are rational.
Ex19 p26-31 (estimating) Ex1 p49-50 Q21,22 (decimals to fractions) Higher Rayners: Ex3 p357 (surds)
Clip 101 Estimating (grade C)
Clip 125 & 160 Upper & lower bounds
Clip 98 & 155 Recurring Decimals to
Fractions
Clip 157 Surds (A)
Clip 158 Rationalising the
Denominator (A)
17th – 21st Feb
FEBRUARY HALF TERM
22ND February (Y10)
7. MENSURATION
R: Constructing nets of cuboids, prisms, tetrahedrons
Appropriate degree of accuracy
Conversion of units
Volume/capacity problems
Area and perimeter of squares, rectangles, Triangles; Volumes of
cubes and cuboids
Area/ circumference of circles
Volumes of triangular prisms and
cylinders
C: 2-D representations of 3-D objects
Difference between discrete &
continuous measures
Areas of parallelograms, trapezia,
kites, rhombuses and composite
shapes
Volumes of prisms and composite
solids
Surface area of simple solids:
cubes, cuboids, cylinders
Volume/capacity problems
Nets can be used (see below)
for surface areas and volumes.
Rounding sensibly for the
range of measures used and the
context
Familiarity with mm, cm, m,
km, g, kg, tonne; inches, feet, yards, miles, oz, lb, stones,
litres, gallons
Include compound measures such as density & pressure
These must be known 'by
heart'
A r2 , C D
V = Area of cross-section
length
V r2h
Use of isometric paper
To include estimation of
measures
Volume of prism = Area of
cross-section length of prism
Include compound measures
such as density.
Use of isometric paper
Which of these is the net of a cuboid?
A gallon is about 41
2 litres. How many litres will an 8 gallon petrol tank hold?
Use Pressure, P = Force ÷ Area and density = mass ÷ volume
Find the volume of this given base = 3cm, height =4cm & length = 12cm
Given the plan and side elevation, draw a 3D isometric diagram of the object.
Illustrate current postal rates; shoe sizes
Find the area of this kite.
Ex20 p28-29 (estimating measures) Ex13-15 p185-193 (area & perimeter) Ex23-25 p211-217 (Volume & surface area) Ex27-28 p79-82 (compound measures)
Clip 71 & 72 Circles
Clip 73 Area of compound shapes
Clip 120 & 121 surface area
Clip 122 & 177 Volume
Clip 178 Segments & Frustums
Clip 124 metric units
Clip 126 compound measures
E: Upper and lower bounds
Volume of pyramid, cone and
sphere
Length of circular arc, areas of sectors and segments of a circle
Dimensions of Formulae
Notation [L] [T] [M] for basic
dimensions
l 9.57 m 9.565 l 9.575
Calculate the radius of a sphere which has the same volume as a solid cylinder of base radius 5 cm and height 12 cm.
Calculate the shaded area given a = 5
Which of the following could be volumes?
rl, x3, ab+ cd, (𝑎𝑏)2
7𝑏; where (r, l, x, a, b, c, d, are lengths)
7th – 21st April
EASTER HOLIDAYS
22ND April (Y10)
8. DATA HANDLING
R: Two-way tables including
timetables and mileage charts
Interpreting and constructing pie charts and line graphs
Questionnaires and surveys
C: Frequency graphs
Time series & Moving Averages
E: Construct and interpret histograms with unequal intervals
Frequency polygons
12 hour and 24 hour clock
Calculation of angles (total
frequency a factor or multiple of 360)
Fairness & bias
Identify trends in data over
time Calculate a moving average
Describe the trend in a time
series graph Use a time series graph to
predict futures (extrapolate)
For grouped data; equal
intervals. Include frequency polygons and Histograms
Understand and use frequency density
If a train arrives at a station at 13:26 and the connection leaves at 14:12, how long do you
have to wait?
2160 trees are planted. How many are oak?
Rayner p386-444 Unit 8 MEP
Unit 8 Teachers notes
Unit 8 MEP Text Clip 85 Two-Way Tables (Grade D) Clip 84 Questionnaires and Data Collection (Grade D) Clip 134 Designing Questionnaires (Grade C) Clip 153 Moving Averages (Grade B) Clip 181 Histograms (Grade A* - A)
9. DATA ANALYSIS
R: Mean for discrete data and tally
charts
C: Problems involving the mean
Mean, median, modal class for
grouped data
E: Cumulative frequency graphs;
median, quartiles
Box plots
Including discrete and continuous data
Including percentiles Inter-quartile and semi-
interquartile range
Use box plots to compare sets of data/distributions
Find the mean number of goals on these games.
No of goals 0 1 2 3 4 5 6 or more Frequency 2 4 5 3 0 1 0
The mean of 6 numbers is 12.3. When an extra number is added, the mean changes to
11.9. What is the extra number?
Rayner p386-444
Unit 9 Teachers notes Clip 133 Averages From a Table (Grade C) Clip 151 Cumulative Frequency (Grade B) Clip 152 Boxplots (Grade B)
26th – 30th May (Y10)
MAY HALF TERM
2ND Jun (Y10)
10. EQUATIONS
R: Negative numbers in context
Number lines
Ordering directed numbers
+, –, , directed numbers
Simplifying expressions
Manipulating and solving Simple linear equations
C: Linear equations
Trial and improvement methods
Expansion of brackets
E: Simultaneous linear equations
Factorisation of functions Solve quadratic equations by
factorising
Temperature problems
One fraction and/or one bracket
Algebraic solutions inc.
deriving from real-life situations
Common terms, difference of
two squares
6oC 4oC ?
2a 3b a 2b ?
Expand 2 a 6?
Solve x 3 7; x 5 10; 3x 15
Solve 2x 3 7; 3x 4 x 18
Solve for x to 2 d.p. x3 7x 6 20 using trial & Improvement
Multiply out 2r 3s2r 5s
Solve: x 4y 7 and x + 2y = 16; Solve 2x y 5 and x 4y 7
Factorise (i) x2 1 (ii) x2 x
Solve (i) x2 1 (ii) x2 x
Ex20-24 p72-76 Ex1-6 p96-103 Ex6-8 p361-363 Ex15 p374
Clip 110 Trial & Improvement
Clip 105 Solving Equations
Clip 106 Forming Equations
Clip 115 Solving Simultaneous Eqs
Graphically
Clip 142 Simultaneous Linear
Equations
Clip 140 Solving Quadratic Eqs by
Factorising
Clip 141 Difference of Two Squares
Clip 161 Solving Quadratics using the
Formula
Clip 162 Solve Quadratics by
Completing the Square
11. FRACTIONS and
PERCENTAGES
R: Expressing quantities as a
percentage or a fraction
Finding fractions and percentages of quantities
C: Percentage and fractional
changes
Manipulating fractions
E: Compound interest
Appreciation and depreciation
Reverse percentage problems
Discount, VAT, commission
, , , with or without a
calculator
Repeated proportional change
30 out of 50; 17 out of 20 =
3
8 of 72 ? 13% of £97 =
20% VAT on hotel bill of £200?
1
2 +
1
3 ;
3
8 ×
1
3 ;
1
2 ÷
1
8
Find the compound interest earned by £200 at 5% for 3 years.
A car costs £5,000. It depreciates at a rate of 5% per annum. What is its value after 3
years?
The price of a television is £79.90 including 17.5% VAT. What would have been the
price with no VAT?
Clip 47 Equivalent Fractions
Clip 48 Simplification of Fractions
Clip 49 Ordering Fractions
Clip 55 Find a Fraction of an Amount
Clip 56 & 57 arithmetic with
Fractions
Clip 58 Changing Fractions to
Decimals
Clip 139 Four Rules of Fractions
Clip 51 & 52 % of Amount
Clip 53 & 54 Change to a %
Clip 92 Overview of %
Clip 93 & 136 Increase/dec. by a %
Clip 137 Compound Interest
Clip 138 Reverse %
16TH June (Y10)
End of Year 10 Exams
23rd Jun 2014
START OF NEW TIMETABLE START OF YEAR 11
23rd Jun (Y11)
12. NUMBER PATTERNS and
SEQUENCES
R: recognise and continue number
patterns
C: Find the formula for the n th
term of a linear sequence.
Recognise & use sequences of
triangular, square, cube, Fibonacci,
quadratic & geometric sequences
E: Find a quadratic formula for the n
the term of a sequence
Explain the pattern in words If numbers ascend in 3’s, that’s the 3 x table = 3n. Then find the number before the 1st term (=5), so, nth term is 3n+5
Fibonacci – 1, 1, 2, 3, 5, ..., ...
1, 4, 7, 10, ..., ...
For sequence , the number of sides is 4, 7, 10, ..., .... How many sides in the 100th member?
n th term in sequence 8, 11, 14, 17, ..., ..., ...
List (i) 12 – 162 (ii) 13 – 53 (iii) the 1st 10 triangular numbers Continue the sequence: 1, 1, 2, 3 …
Continue the sequence: 1, 2, 4…
Find n th term for
(i) 3, 6, 11, 18, ..., n2 2(ii) 6, 7, 10, 15, ..., n2 2n 7
Ex19 p119-122 (sequences) Ex20 p123-125 (nth term)
Clip 65 Generate a Sequence from
Nth term
Clip 112 Finding the nth term More resources on Sequences GP sort card GP worksheet Geometric Series (from Don Steward)
13. GRAPHS
R: Coordinates Plotting straight lines and curves given
values
C: Graphs in context, including
conversion
and travel graphs (s – t and v – t)
and an
understanding of speed as a
compound unit
Scatter graphs and lines of best fit
E: Equation of straight line
Graphical solution of simultaneous
equations
Draw & recognise Graphs of common
functions
Solve equations by graphical methods
Draw and interpret
Gradient and area under graph
a for polygon graphs only
Opportunities for use of ICT
(Excel can find equation for
line of best fit)
Use y = mx + c to identify
parallel lines
Quadratic, cubic, reciprocal and
exponential equations
Identify coordinates of points in the xy-plane. Plot graph for values x –3 –2 –1 0 1 2 3
y 9 4 1 0 1 4 9
Calculate the speed for each part of the journey
Name the type of correlations illustrated below
Find equation of straight line joining points (1, 2) and (4, 11).
Find equation of straight line going through points (1, 3) and gradient 4.
Which lines are parallel? y = 3x = 1, 2y = 6x – 8, -3x + y = 7 etc.
Solve graphically: (i) y = x + 5 and y = 7 – x (ii) x + y = 4and 2x + y = 10
Use the graph of y x2 5x to solve x2 5x 7.
Draw graphs of y x2 5x and y x3 to solve x2 5x x3.
Solve graphically 2x 5.
Ex21 p126 Ex23 p129 Q1-4 (straight line graphs) Ex 24 p131 (y = mx + c) Ex23 p129 Q5-8 (gradients)
Clip 87 Scatter Graphs (Grade D)
Clip 113 Drawing straight line graphs
Clip 114 Finding the Equation of a
straight line
Clip 116 Drawing Quadratic Graphs
Clip 117 Real-life Graphs
Clip 143 Understanding y=mx+c
Clip 145 Graphs of Cubes &
Reciprocal Functions
Clip 166 Gradients of Parallel and
Perpendicular Lines
July (Y11)
SUMMER HOLIDAYS
September (Y11)
14. LOCI and
TRANSFORMATIONS:
CONGRUENCE and SIMILARITY
R: Scale drawings
Construction using protractor
and compasses
Simple enlargements and reflections
C: Constructions of loci
Enlargements
Reflections
Rotations
Translation
E: Combination of two transformations
Congruence – conditions for triangles
Notation 1 : 200, etc.
Triangle and other shapes
About point(s) and line(s)
Positive integers and simple
fractions for scale factor
Reflect lines in oblique lines
Describe the mirror line using simple equations
Rotation about any point 90o , 180o in a given direction
Finding the centre of rotation
by inspection.
Using vector notation
SSS SAS AAS RHS
Make scale drawing of garden or playground
Construct the locus of points equidistant from both lines
Enlarge diagram by scale factor 1
3 , centre A (inside triangle)
Find the Equations of the mirror lines and reflect the shape in the line y = 0, y = -3, y = x
Draw image after translation (−32
)
Prove that ▲ABX & ▲CDX are congruent
Ex2-3 p171-176 (simple construction) Ex13 p310 (Translation & enlargement) Ex12 p308 (reflection & rotation) Ex14 p313 (combined transformations) Ex6 p169 (congruence)
Clip 127 bisecting a line
Clip 128 perpendicular to a line
Clip 129 bisecting an angle
Clip 130 Loci
Clip 74-77 Transformation
Clip 171 Negative scale factor
Clip 123 Similar Shapes
Clip 124 Dimensions
Clip 149 Similar Shapes
Clip 179 Congruent Triangles Combining Transformations: Play ‘TranStar’
Similarity – similar triangles, line, area
and volume ratio
Internal line ratio (BE:CD = 3:5) Draw 2 separate triangles and
find scale factor/multiplier (= 5
3)
Calculate (i) x and y (ii) ratio of areas ABE
and BCDE
Two similar cones have heights 100cm & 50cm. The volume of the smaller cone is 1000cm3, what is the
volume of the larger cone?
E.g. Persil is available in 800 g and 2.7 kg boxes which are similar in shape. The smaller box uses 150 cm3 of card. How much card is needed for the larger box?
Ex29-30 p227 (lengths & similarity) Ex31 p233(areas of similar shapes) Ex32 p237 (volumes of similar shapes)
http://www.mangahigh.com/en_gb/games/
(Y11)
OCTOBER HALF TERM
November (Y11)
15. VARIATION: DIRECT and
INVERSE
R: Unitary ratios; direct and inverse
variation
Map scales / ratios
C: Proportional division
Direct and inverse variation
E: Functional representation
Graphical representation
Recipes Mixed units Mathswatch leads into this topic in a very easy way
y x , y x2 , y x3 ,
y 1
𝑥; y
1
𝑥2
If 5 books cost £15, what is the cost of 8 books? If 8 people take 3 days to paint some
railings, how long would 6 people take?
e.g. 1:20 00; 1 cm to 2 km
If the map scale is 1:250 000, what is the actual distance between two churches 3 cm apart on
the map?
Share £30 in the ratio 2:3.
For the following data, is y proportional to x?
x 3 4 5 6 y 8 10 12 14
If y is proportional to the square of x and y 9 when x 4, find the positive value of x for
which y 25.
Ex12-13 p263-267 P267-269 (common curves to discuss)
Clip 159 Direct & Inverse Proportion
November (Y11)
MOCK EXAMINATIONS
1ST ROUND OF MOCKS
December (Y11)
16. INEQUALITIES
R: Solution if inequalities on a number line
Notation: or , < or >,
● or ○
List whole numbers n which satisfy 4 n 2
List whole numbers n which satisfy
Ex9-10 p255-258 (solving)
See Core 1 LiveText for examples
Clip 108 Inequalities
Clip 109 Solving Inequalities
Clip 144 Regions
C: Solution of linear inequalities and
simple quadratic inequalities
E: Graphical applications
Locating and describing
regions of graphs
Solve for x: (a) 5x 2 x 16 (b) x2 25
Sketch lines y x 1, y 3 x and x 2; hence, shade the region for which
y x 1, y 3 x and x 2.
Ex11 p259-260 (regions)
January (Y11)
17. VECTORS
C: Vectors and scalars
Sum and difference of vectors
Resultant vectors
Components
Multiplication of a vector by a
scalar
Applications of vector methods to
2- dimensional geometry
Vector notation
(𝑎𝑏), 𝐴𝐵⃗⃗⃗⃗ ⃗ or a
A plane is flying at 80 m/s on a heading of 030However, a wind of 15 m/s is blowing
rom the west. Determine the actual velocity (speed and bearing) of the plane.
𝑂𝐴⃗⃗⃗⃗ ⃗ = a and 𝐴𝐵⃗⃗⃗⃗ ⃗ = b
Write down, in terms of a and b,
(i) 𝑂𝐵⃗⃗ ⃗⃗ ⃗, (ii) 𝑂𝐶⃗⃗⃗⃗ ⃗, (iii) 𝐴𝐶⃗⃗⃗⃗ ⃗, (iv) 𝐶𝐵⃗⃗⃗⃗ ⃗
Rayners Higher: Ex15 p317 (addition & scalar multiplication)
See Heinemann Mechanics 1 Chapter 1_LiveText for examples
Clip 180 Vecors
(Y11)
CHRISTMAS HOLIDAYS
January (Y11)
REVISION
Linear (A) Past paper booklets to be prepared in-house. Revision Workbooks to be ordered Intervention to be organised by teachers.
Review the entire SOW again from Year 10.
(Y11)
FEBRUARY HALF TERM
March (Y11)
MOCKS
2ND Round of Mocks
March EASTER HOLIDAYS
April Revision & Intervention Past Papers on the shared area
Linear (A) Past paper booklets to be prepared in-house. Revision Workbooks to be ordered (payment to be collected beforehand) Intervention to be organised by teachers.
May Study Leave
June EXAMS, EXAMS, EXAMS
NOTES FOR THE TEACHER
There is teacher support material for each unit, including teaching notes, mental tests, practice book answers, lesson plans, revision tests, overhead slides and additional activities. The teacher
support material is only available online.
Resources: Teacher support material for each unit, inc. teaching notes, mental tests, answers, lesson plans, revision tests and
additional activities is available online on the MEP website: http://www.cimt.plymouth.ac.uk/projects/mepres/allgcse/allgcse.htm
Homework: a variety of tasks can be set ranging from short Q&A to extended pieces of investigation work. When you set
homework – you MUST mark it and record it. You could also ask students to make summary notes of each topic to lay foundations
for independent study. Fronter has been loaded with a wealth of homework practice which students should be directed to by you.
Lesson planning & Expectations: You are expected to have extremely high expectations of all you students at all times – refer to
the diagram
Closing the Gap: Know your students, Plan effectively, Enthuse & Inspire, Engage & Guide, Feedback appropriately & Evaluate
together
FORMULAE SHEET
Perimeter, area, surface area and volume formulae
Where r is the radius of the sphere or cone, l is the slant height of a cone and h is the perpendicular height of a cone:
Curved surface area of a cone = rl
Surface area of a sphere = 4 r 2
Volume of a sphere = 3
4 r 3
Volume of a cone = 3
1 r 2h
Kinematics formulae
Where a is constant acceleration, u is initial velocity, v is final velocity, s is displacement from the position when t = 0 and t is time taken:
v = u + at
s = ut + 21
at2
v2 = u2 + 2as