MATHEMATICS & NUMERACY LEARNING PROGRAMME
TEACHING GROUP: 9M1
STAFF: H Woolley
HALF TERM: 2 (Autumn Term 1)
Subject: WJEC GCSE Maths 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:
•Draw a line graph to show trends in data.
•Draw and read information from an ordered stem-and-leaf diagram.
•Draw, interpret and use scatter diagrams.
•Find a measure of dispersion (the interquartile range) and a measure
of location (the median) using a graph.
•Draw and read box plots.
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.
•Real-life problems, rounding, multiplying & dividing integers.
•Fractions, percentages, ratios & best buys.
•Limits of accuracy.
Module 1: Data Handling (Book 1H, Ch4)
The literacy skills you will need to develop and include within
the final assessment of your learning are:
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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: Statistical Representation (Book 1H, Ch5)
Learning objectives:
•Conduct surveys. [Grades D – C]
•Ask good questions in order to collect reliable and valid data. [Grades
D – C]
•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]
Learning objectives:
•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: Hypothesis, Questionnaire, Population.
Literacy focus: Discrete, Cumulative, Correlation.
Homework task: Weekly Challenge (Grades D-C) & revision using on-line
& other revision materials.
Homework task: Weekly Challenge (Grades D – C) & revision using online & other revision materials.
Module 3 (Week 4)
Module 4: Probability (Book 1H, Ch6)
Learning objective:
To assess CWA grade and monitor progress using a GCSE non-calculator
paper.
To address misconceptions from this assessment.
Learning objectives:
•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 C-B].
• 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 DB].
Literacy focus: Reading and interpreting questions. Quality of written
communication (QWC).
Homework task: Weekly Challenge (Grades D-C) & revision using on-line
& other revision materials.
•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.
Module 5: Number (Book 1H, Ch1, 2 & 3)
Learning objectives:
•Solve problems set in a real-life context. [Grade D–C]
• Round to a given number of significant figures. [Grade D–C]
•Approximate the result before multiplying two numbers together.
[Grade D–C]
•Approximate the result before dividing two numbers. [Grade D–C]
•Round a calculation, at the end of a problem, to give what is
considered to be a sensible answer. [Grade D–C]
•Multiply and divide positive and negative numbers. [Grade D]
• Find one quantity as a fraction of another. [Grade D–C]
•Increase and decrease quantities by a percentage. [Grade D–B]
•Express one quantity as a percentage of another. [Grade D–C]
•Work out percentage change. [Grade D–C]
•Calculate compound interest. [Grade C–B]
•Solve problems involving repeated percentage change. [Grade C–B]
•Calculate the original amount, given the final amount, after a known
percentage increase or decrease. [Grade C–A]
•Simplify a ratio. [Grade D–C]
•Express a ratio as a fraction. [Grade D–C]
•Divide amounts into given ratios. [Grade C]
•Complete calculations from a given ratio and partial information.
[Grade C]
•Find the cost per unit weight. [Grade D]
•Find the weight per unit cost. [Grade D]
•Use the above to find which product is the cheaper. [Grade D]
•Find the limits of accuracy of numbers that have been rounded to
different degrees of accuracy. [Grade C–B]
•Combine limits of two or more variables together to solve problems.
[Grade B–A*]
Literacy focus: Integer, multiplier & limits
Homework task: Weekly Challenge (Grades D-C) & revision using on-line
& other revision materials.
Module 6: NUMERACY
Learning objectives:
• Interpret key words and identify appropriate mathematical
calculations linked real life scenarios
• Give good reasons and clear explanations to justify solutions
Literacy focus: Develop written communication skills; clear
presentation, capital letters, punctuation and spellings.
Homework task: Mini projects from functional skills scenarios linked to
everyday life - detailed on Numeracy Learning Programmes on the
Academy’s website.