|
Chapter Title |
Content |
Number of Weeks |
Additional Resources |
IT
Opportunities |
|
Chapter 1:
Number 1 |
Rounding off to 1 decimal
place and significant figures.
Calculate a percentage of a
given amount.
Express one quantity as a
percentage of another.
Increases or decrease a
given amount by a certain percentage.
Calculate the original
amount when a certain percentage is not known.
Compound interest.
Approximate the result of a
calculation. |
2 |
Ws:
Percentages |
|
|
Chapter 2:
Shape |
Circles
(calculating area of sectors and lengths of arcs)
Area and
volume of shapes
Density |
3 |
Ws: Area
and Volume |
Power
Point presentation on CD on circles (No.11) and volume (no. 12) |
|
Chapter 3:
Algebra 1 |
Substitute
whole numbers, fractions and decimals into expressions and evaluate
them.
Solving
simple linear equations.
Solving
equations through trial and improvement.
Solve
pairs of simultaneous linear equations.
Solve
practical problems which are expressed by pairs of simultaneous
equations.
Transpose
a formula to change its subject. |
2 |
Ws:
Simultaneous Equations |
|
HALF TERM
|
|
Chapter 4:
Pythagoras
and trigonometry
|
How to use
Pythagoras in 2D and 3D.
Three
basic trig properties
Interpreting practical situations involving angles of elevation and
depression, bearings and distances. |
2 |
Pythagoras
and trigonometry is revision – try to concentrate on the 3D problems and
the bearings |
Power
Point presentation (no. 9) |
|
|
|
|
|
|
|
Chapter
Title |
Content |
Number of
Weeks |
Additional
Resources |
IT
Opportunities |
|
Chapter 5:
Geometry |
Corresponding angles
Finding
sum of interior angles.
Properties
of shapes
Circle
angle properties and tangent properties |
2 |
Ws: Angles
on straight lines and circles |
Sketchpad
can be used to illustrate the circle properties.
Power
point presentation (no.2, 3 and 6) |
|
Chapter 6:
Transformation geometry |
Congruent
triangles
Translations, reflections, rotations, enlargements |
2 |
|
Power
Point presentation (no.8) |
END OF FIRST TERM
|
|
Chapter 7:
Constructions |
Constructing line / angle bisectors.
How to
construct a perpendicular from a point to a line.
Loci |
2 |
|
Sketchpad
ws on loci can be used |
|
Chapter 8:
Number 2 |
Indices.
Standard
form
Solving
problems using standard form.
Rational
and irrational numbers (terminating and recurring decimals).
Surds |
3 |
Ws:
Standard Form |
|
HALF TERM
|
|
Chapter 9:
Statistics |
Create and interpret
frequency tables and find the mean, mode median from both grouped and
ungrouped data.
Calculating moving averages and plotting them on a graph.
Frequency
polygons and histograms.
Creating a
questionnaire.
Use random
and stratified samples
Recognise
the difference between discrete and continuous data. |
3 |
Extra
resources on histograms required. |
|
Algebraic coursework (Number Stairs) to be given –3 lessons plus 2 weeks
for completion
END OF SECOND TERM
|
|
|
|
|
|
|
|
Chapter
Title |
Content |
Number of
Weeks |
Additional
Resources |
IT
Opportunities |
|
Chapter
10:
Algebra 2 |
Expanding
and simplifying expressions containing brackets.
Factorising expressions.
Solving
quadratic expressions including completing the square.
Solve, by
the method of substitution, a pair of simultaneous equations where one
is linear and one non linear. |
3 |
Ws:
Factorising and Sequences |
|
|
Chapter
11:
Real life
graphs |
Finding
the gradient of a straight line.
How to
draw and interpret distance-time graphs.
The
relevance of the gradient of a straight-line, distance-time graph.
Calculating speeds from distance time graphs, calculating acceleration
from a velocity-time graph.
Using
graphs in practical situations |
2 |
|
Omnigraph
ws available
Worksheet
on Distance/Velocity. |
|
Chapter
12:
Similarity |
Calculating scale factors between two similar shapes.
Calculating unknown lengths, areas and volumes of similar 3-d shapes.
Solving
practical problems |
2 |
|
Power
Point presentation (no 8) |
HALF TERM
|
|
Chapter
13:
Trigonometry |
Drawing
the graphs of the trig functions.
Finding
trig ratios for angles between 0 and
360.
Sine and
cosine rule and finding area of a triangle using the sine rule.
Finding
exact ratios for 30,
45,
and 60. |
3 |
|
Omnigraph
for trig graphs could be used. |
|
Chapter
14:
Graphs |
Finding
the equation of a straight line.
Draw
graphs of square root, reciprocal, cubic, exponential functions.
Solving
simultaneous equations graphically.
Solving
quadratic and cubic equations graphically |
|
|
|
|
Chapter
Title |
Content |
Number of
Weeks |
Additional
Resources |
IT
Opportunities |
|
Chapter
14:
Graphs |
Finding
the equation of a straight line.
Draw
graphs of square root, reciprocal, cubic, exponential functions.
Solving
simultaneous equations graphically.
Solving
quadratic and cubic equations graphically |
3
|
Ws: Graphs |
Use
Omnigraph ws are available |
END OF TERM YEAR 10
|
|
Chapter
15:
Statistics |
Scatter
diagrams and correlation.
Drawing
accurate lines of best fit and using it to make predictions.
Cumulative
frequency curves and using them to find the median, lower/upper
quartiles and IQR.
Draw and
interpret box plots |
2 |
|
|
|
Title |
Topics |
Time |
Notes/HW suggestions |
Number Bites
|
Multiplying and dividing negative numbers.
Squares
and square roots.
Cubes and
cube roots.
Reciprocals
Standard
form
Rules of
indices
Standard
form without a calculator
Least
common multiples
Adding and
subtracting fractions
Multiplying and dividing fractions
Highest
common factors |
2 weeks |
Construct
graphs HW
Plot graph
Very
basic, will need expanding later.
End points
as HW in following week. |
|
Sequences |
Introduction: Finding values, special sequences, finding next term,
rules
Sequences
and mappings
Finding
rules
nth
term of a sequence
Writing
rules in different ways |
2 weeks |
IT
opportunity: Excel-generating sequences.
Resource:Edexcel
Teacher’ guide-ICT(Note slight mistake in cell address) and/or
ICT in mathematics worksheet NA 11 Investigating sequences |
|
Properties of Shapes |
Naming
angles and triangles
Angle sums
Parallel
lines
Quadrilaterals
Polygons
Parallel
lines: corresponding and alternate angles
Angles in
polygon
Triangle
investigation
Revision
TEST Ch 1 &2 |
2 weeks |
Revision
Give
reasons
Calculate
interior and exterior angles: relationship between the two
Calculations involving angles in polygons
IT
opportunity: Logo
Geometer’s Sketchpad |
Linear Graphs
|
Graphs of
vertical and horizontal lines
Graphs
from table of values
Linear
graphs-interpreting
Gradient
of a straight line
Calculating gradients
Positive
and negative gradients
Parallel
lines
Perpendicular lines
Drawing
graphs from table of values
Linear
graphs and their equations
Drawing
graphs from their equations
Writing
equations in the form
y=mx + c
Rewriting
equations
Intersecting lines |
2 weeks |
Test if
point is on a line
Information graphs
Product of
gradients = -1
For
perpendicular lines
IT
opportunity: Omnigraph Edexcel
Teachers’guide –ICT-p37 Drawing graphs.
Understanding of y=mx + c |
|
Comparing Data |
Comparing
Data
Construction of pie charts
Calculating means from a frequency distribution, comparing sets of data
Test chapters 3+4
Finding
Interquartile range from a set of data, constructing cumulative
frequency tables
Finding
median from a frequency distribution
Stem and
leaf Diagrams, Box Whisker plots
Use of
means and range to compare data
|
3 weeks |
Look at
types of data, frequency tables, pictograms, pie charts, histograms
Calculating angles
IT
opportunity: ExcelICT in mathematics
activity sheet HD 11-looking at data 4.
Activity sheet HD 12-Estimating the mean. |
|
Working in 2D |
Perimeters
and areas
Pythagoras
theorem
Calculating areas of trapezium
Areas of
composite shapes
Using
Pythagoras Theorem
Using
circumference
2D
Representation of 3D objects
Finding
areas
End points
Test Chapters 5&6 |
3 weeks |
Basic
shapes including circle
Use of
worksheet for further practice, see TMC
Areas of
triangles, find other lengths
Problem
solving
Use of
isometric paper |
|
Solving Equations |
Collecting
like terms
Solving
linear equations
Simpifying
linear expressions
Using
brackets in linear expressions
Solving
linear equations
Forming
and solving linear equations
Number
puzzles in algebra
Solving
simultaneous equations from graphs
Solving
simultaneous equations |
3 weeks |
Alternative resource:Key Maths Intermediate II |
|
Estimation and Approximation |
Rounding
numbers
Adding and
subtracting decimals
Rounding
up or down
Significant figures
Using
significant figures to estimate answers
Working
with numbers less than 1
|
1˝
weeks |
Use of
calculator for checking purposes only |
|
Probability A |
Sample
space diagrams
Use of
tree diagrams, counting outcomes
Ways of
arranging things-combinations
Relative
frequency
Experimental probability
Test on
Ch 7 & 8 |
1˝ weeks |
IT
opportunity: Excel
Dinosaur
Racing.
Resource:
Edexcel Teachers’ Guide-ICT |
|
Using
Algebra A |
Expanding
brackets e.g. a(x+b)
Simplifying linear algebraic expressions
Linear
equations
Substitution
Calculating missing dimensions
Writing
expressions, solving
Multiplying out brackets and simplifying
Finding
common factors, factorising linear expressions
|
2 weeks
|
Revision
and Practice
HW: End
points |
|
Constructions and Loci |
Revision
of mathematical terms, congruent triangles
Regions
and points on map
Constructing triangles
Constructing perpendicular from a point to a line, perpendicular
bisector, angle bisector
Meeting
conditions, loci and regions |
1˝ weeks |
IT opportunity:
Geometers’ Sketchpad
Give all 3
sides, side and two angles, two sides and included angle |
|
|
Coursework practice:
Opposite corners Heavily teacher led, draw students attention to
page 331 in text book. Allow one week + HW |
|
Ratio |
Revision
of cancelling ratios, equivalent ratio. Fractions to decimals to
percentages
Sharing in
ratio, multiplying parts of a ratio
Ratios as
fractions, ratio and enlargement |
1 week |
IT
opportunity: ICT Activities in
mathematics:Activity sheet NA9-Analysing food |
|
|
Coursework:
Number Stairs 2 weeks, mainly as HW |
|
Grouped data |
Data
handling work moved forward to prepare for Data Handling coursework.
Hostogrrams and frequency polygons
Estimating
the range and total
Estimating
the mean
Testing a
hypothesis
Drawing a
cumulative frequency curve
Estimating
the median and inter-quartile range
Estimating
cumulative frequencies
Moving
averages |
1 week
1 week
1 week |
Equal
class intervals only
Taking mid
-values in groups
IT
opportunity:
Use of Excel
Does the
information bear out the hypothesis
Reading
and interpreting graphs
Use in
finding trends |
|
Processing Data |
Designing
and criticising questions
Correlation
Using a
line of best fit
Estimating
values from a line of best fit
Misleading
diagrams
Test:
Chapters 16 & 23 |
1 week |
Leading
questions, etc.
Misuse of
area, starting points, etc.
|
|
Distance, speed and time |
Distance,
time and constant speed
Constant
speeds and graphs
Interpreting graphs
Average
speed
Distance-time graphs and speed
Compound
measures
|
1˝weeks |
Relationship-use of triangle*
Interpreting, taking care with scales
Resting,
fastest speed, etc.
|
|
Trigonometry |
Similar
triangles
Right
angled triangles
Trigonometric ratios
Sine,
cosine and tangent of an angle
Finding a
side
Finding an
angle
Finding
sides and angles
Solving
problems |
2 weeks |
Learn
formulae
Go through
labelling of sides, which ratio to use.
Make
sure calculator is on correct mode, also order of working for different
calculator models |
|
Using
Algebra B |
Rearranging formulae
Substitution into non-linear expressions
Multiplication
Multiplying out brackets
Factorising
Test Ch
13 & 14 |
2 weeks |
One step
and two step formula. |
|
Working with Percentages |
Writing
one number as a percentage of another
Percentage
changes
Percentages and VAT
Percentages and interest
Simple
interest
Compound
interest
Reverse
percentages |
2 weeks |
Learn
formula and recognise diiference. |
|
Transformations |
Identifying transformations
Single
transformations
Combined
transformations
Enlargements |
1 week
|
Learn to
describe transformations fully.
IT opportunity:
Omnigraph
Edexcel
Teachers’ guide-ICT p50 Translations |