MATHEMATICS & NUMERACY LEARNING PROGRAMME
TEACHING GROUP: 10M2
STAFF: H Woolley
HALF TERM: 6 (Summer Term 2)
Subject Topic/Unit: GCSE Mathematics Higher Tier
By the end of this unit of work you will demonstrate your
learning and the progress you have made towards achieving
your aspirational target by:
Being able to:
• Collect and represent discrete and grouped data using tally
charts and frequency tables
• Draw, read and interpret statistical diagrams, graphs & charts.
• Calculate averages and range for data in list form. Use these
calculations to compare data sets.
• Calculate averages from tables including grouped data tables.
• Estimate experimental and calculate theoretical probabilities
and relative frequencies.
• Recognise mutually exclusive, complementary and exhaustive
events.
• Read two-way tables and use them to work out probabilities
and interpret data.
•Work out the probability of two events such as P(A) or P(B).
•Work out the probability of two events occurring at the same
time.
•Use sample space diagrams and tree diagrams to work out the
probability of combined events
•Work out the probability of combined events when the
probabilities change after each event.
Module 1
Learning objective: Data Handling (Book 1H, Ch4)
•Use averages. [Grades D - C]
• Solve more complex problems using averages. [Grades D – C]
• Identify the advantages and disadvantages of each type of
average and know which one to use in different situations.
[Grades D – C]
• Calculate the mode and median from a frequency table.
[Grades D - B]
•Calculate the mean from a frequency table. [Grades D – B]
•Identify the modal group. [Grade C]
•Calculate and estimate the mean from a grouped table. [Grade
C]
•Draw frequency polygons for discrete and continuous data.
[Grades D – C]
•Draw histograms for continuous data with equal intervals.
[Grades D – C]
•Draw pie charts. [Grade D]
•Draw and read histograms where the bars are of unequal
width. [Grades A – A*]
•Find the median, quartiles and interquartile range from a
histogram. [Grades A – A*]
•Conduct surveys. [Grades D – C]
•Ask good questions in order to collect reliable and valid data.
[Grades D – C]
The literacy skills you will need to develop and include within
the final assessment of your learning are:



All work must be presented neatly and in-line with
Academy expectations.
Understand key words within a Mathematical context.
Accurate spelling.
Key words: See Literacy focus for each module for top 3 key
words and a full list of key words is provided in the Progress
Assessment book for this learning pathway.
Module 2 (Week 3)
Learning objective:
To assess CWA level/grade and monitor progress.
Literacy focus: Reading and interpreting questions.
Homework task: Weekly Challenge (Grades D-C) & revision using
on-line & other revision materials.
•Use the data-handling cycle. [Grade C]
•Apply statistics in everyday situations. [Grades D – B]
•Understand different methods of sampling. [Grades D – C]
•Collect unbiased reliable data. [Grades D – C]
Literacy focus: Hypothesis, Questionnaire, Population.
Homework task: Weekly Challenge (Grades D-C) & revision using
on-line & other revision materials.
Module 3
Learning objective: To address misconceptions from SUT2
assessments.
Literacy focus: Quality of written communication (QWC).
Homework task: Weekly Challenge (Grades D-C) & using on-line
& other resources to address target areas for improvement.
Module 4
Learning objective: Statistical Representation (Book 1H, Ch5)
•Draw a line graph to show trends in data. [Grade D].
•Draw and read information from an ordered stem-and-leaf
diagram. [Grade D].
•Draw, interpret and use scatter diagrams. [Grades D – C].
•Find a measure of dispersion (the interquartile range) and a
measure of location (the median) using a graph. [Grade B].
•Draw and read box plots. [Grades B – A].
Literacy focus: Discrete, Cumulative, Correlation.
Homework task: Weekly Challenge (Grades D-C) & revision using
on-line & other revision materials.
Module 5
Learning objective: Probability (Book 1H, Ch6)
•Calculate experimental probabilities and relative frequencies.
[Grade C].
Estimate probabilities from experiments. [Grade C].
Use different methods to estimate probabilities. [Grade C].
• Recognise mutually exclusive, complementary and exhaustive
events. [Grades C – B].
• Predict the likely number of successful events, given the
number of trials and the probability of any one event. [Grades CB].
• Read two-way tables and use them to work out probabilities
and interpret data. [Grades D - C].
•Work out the probability of two events such as P(A) or P(B).
[Grades D-B].
•Work out the probability of two events occurring at the same
time. [Grades D–C].
•Use sample space diagrams and tree diagrams to work out the
probability of combined events. [Grade B].
•Use the connectors ‘and’ and ‘or’ to find the probability of
combined events. [Grade B-A].
•Use the connectors ‘and’ and ‘or’ in more advanced examples,
to find the probability of combined events. [Grade A].
•Work out the probability of combined events when the
probabilities change after each event. [Grades A–A*].
Literacy focus:
Experimental probability, trials, relative frequency.
Homework task: Weekly Challenge (Grades D-C) & revision using
on-line & other revision materials.