Knightswood Secondary School
Department of Mathematics
Scheme of Work
Main resource: MiA Intermediate 2
Year group/Class: S3/S5
Chapters 10 and 11
Level: Intermediate 2 (Unit 2)
Graphs, Charts and Tables
Statistics
Period
Attainment Targets
1
Learning intention – Finding the 5
figure summary
Success Criteria – able to find the 5
figure summary from a data set
Exercises and
questions
Data based entirely
on class surveys
Additional
Resources/ICT
none
Text book is very
trudged and not
recommended as the
main teaching
resource.
2
Learning intention – Drawing Box Plots
and comparing data sets
Success Criteria – able to interpret and
compare box plots and able to make
informed statements from the diagram.
Data based entirely
on class surveys
(Family size, shoe
size)
none
3
Learning intention – Grouping data
Success Criteria – pupils can group
data in a frequency table
Data based entirely
on class surveys
(NAB1 test marks)
none
Special Notes
Homework
Data collected about class
family size (no. of brothers &
sisters). Data collected and
organised into a frequency
table. Averages discussed
and mean, median and
mode calculated. Method for
identifying quartiles shown &
5 figure summary found.
Pupils shown how to
construct a box plot for the
above data sample. On the
same diagram, pupils draw a
box plot for their previous
homework’s dataset. Box
plots compared and
discussed with class.
Interpretations noted as
comments.
NAB1 test marks for class
collected and converted to
percentage. Idea of grouped
data discussed then
incorporated into frequency
table. Mid-point used to find
f X x. Mean estimated from
the table. 5 figure summary
found (using ordered data
set) and box plot drawn.
Range found. Semiinterquartile range found.
Idea of spread discussed
further.
Data collected about class family
size (no. of brothers & sisters) from
a different class.
Pupils have to repeat classroom
activity for the new data set and
find the 5 figure summary.
Data collected about shoe sizes of
class.
Pupils to construct frequency table,
find averages, find the 5 figure
summary and draw a box plot to
illustrate the information.
Comments about the data
expected.
none
Chapters 10 and 11
Level: Intermediate 2 (Unit 2)
Graphs, Charts and Tables
Statistics
Period
Attainment Targets
4
Learning intention – Comparing box
plots and other statistical data
Success Criteria – able to compare two
data sets using a variety of statistical
tools
Exercises and
questions
Data based entirely
on class surveys
(NAB1 test marks of
two Int2 classes
compared)
Additional
Resources/ICT
OHP Calculator
Box plot comparison
applet
5
Introducing Standard Deviation
Learning intention – Able to calculate
Standard Deviation
Success Criteria – Finding the
Standard deviation using a table,
Finding the Standard deviation using
the one pass formula
Data based entirely
on class surveys
Finding the Standard
deviation using a
table.
6
Learning intention – Using Standard
Deviation and mean
Success Criteria – able to effectively
use the formula for mean and standard
deviation.
Ex6 p172 Qu1-4
OHP Calculator
7
Learning intention – Probability
Success Criteria – able to calculate
simple probability of single events.
Ex8 p177
Useful to have OHP
playing cards and dice
Spinner applet
(probability and
expectations)
Special Notes
Homework
Statistical information from a
different Int2 (NAB1) class
results gathered. Data
ordered and 5 figure
summary found. Mean also
calculated using statistical
mode on the OHP scientific
calculator. Box plot drawn
and compared with the the
previous box plot for our
own set of NAB1 results.
Semi-interquartile range
found. Comparisons made
and discussed. Conclusions
drawn.
Obtain a small data set with
manageable numbers.
Construct a table to find the
standard deviation (s).
Explain why it is so named.
Demonstrate how the one
pass formula can be used as
a much quicker method of
finding (s).
Question 1 is a good
example to do with the class
on the board. In addition you
can also find the 5 figure
summary and semiinterquartile range. Compare
the Standard deviation to the
S-I range.
Introduce probability.
Explain the scale 0-1 with
suitable examples. Explain
notation and the formula
P(Event)=Favourable
outcomes/all possible
outcomes.
Show some examples
None
Find the standard deviation for a
given data set.
Ex6 p172 Qu1-4
Ex8 p177 Qu 1-8
Chapters 10 and 11
Level: Intermediate 2 (Unit 2)
Graphs, Charts and Tables
Statistics
Period
Attainment Targets
8
Learning intention – Probability and
Relative frequency
Success Criteria – able to find
probability of multiple outcomes.
Exercises and
questions
Ex8 and Ex9 p178
Additional
Resources/ICT
Useful to have OHP
playing cards and dice
9
Learning intention – Scatter diagrams
Success Criteria – able to recognise
and use relationships in a scatter
diagram.
Ex 7 Qu 1 p175
None
10
Learning intention – Scatter diagrams
Success Criteria – able to recognise
and use relationships in a scatter
diagram.
Ex7 p175 Qu 3,4,5
Scatter graphs
11
Learning intention – Pie chart from a
relative frequency table
Success Criteria – aware of pie charts
and their construction.
Ex3 p142 Qu5 & 6
Protractors, rulers,
compasses
12
Learning intention – Cumulative
frequency graph
Success Criteria – can construct a
cumulative frequency graph.
Ex5 p146 Qu2 & 3
rulers, compasses
BBC Bitesize
Special Notes
Homework
Give examples of multiple
outcomes i.e. rolling two
dice or a spinner and a coin
etc. Show all possible
outcomes in a table and ask
class to calculate some
probabilities.
Introduce Relative
Frequency using qu1 in Ex9.
Collect shoe sizes and hand
lengths (cm) from the class.
Draw a scatter diagram
which should show a
“sausage shape” scatter of
points. Draw best fitting
straight line and determine
it’s equation. Use the
equation as a predictor.
Pupils do Ex 7 p175.
Further examples from the
text book discussed and
illustrated on the board.
Mean of both data sets used
to help draw best fitting
straight line.
Question 6 can be worked
through with the class as an
illustration. Question 5 can
be left for the pupils to
complete.
Question 2 can be worked
through with the class as an
illustration. Question 3 can
be left for the pupils to
complete. Show how
quartiles can be estimated
from the graph.
Qu3 in Ex9
Ex7 p175 Qu 3,4,5,6
none
Select appropriate questions.
Chapters 10 and 11
Level: Intermediate 2 (Unit 2)
Graphs, Charts and Tables
Statistics
Period
Attainment Targets
13
Learning intention – Dot plot and
revision of box plots
Success Criteria – pupils are aware of
dot plots
Learning intention – Cumulative
frequency
Success Criteria – able to estimate
quartiles from a cumulative frequency
graph.
Exercises and
questions
Ex Review 157
14
Chapter 10
Level: Intermediate 2 (Unit 2)
Problem Solving in Learning and Teaching
Data from any
suitable source
Additional
Resources/ICT
Special Notes
Homework
Do qu 4 of the exercise
together with the class.
Pupils then attempt the rest
of the exercise.,
Example illustrated of
extended frequency table (to
include cumulative
frequency) and cumulative
frequency graph. Estimating
quartiles from graph also to
be shown. Class then do
their own example.
Complete the review
Revision of topic
Graphs, Charts and Tables
As many real life data sets should be used as possible through class surveys or using information sourced elsewhere (newspapers, internet, class marks etc.). Although
not strictly “problem solving”, there should be strong emphases given to forming conclusions after analysis and in the understanding of answers. Using statistics as a
method for comparing data sets is also vitally important and essential for tasks to be context set.
Evaluation of Topic