Download Module - wellswaymaths

GCSE Mathematics
SELF ASSESSMENT
Contents:
Foundation Tier
UNIT 1 STATISTICS & PROBABILITY (30%)
Collecting data
OBJECTIVES

Design a suitable question for a questionnaire

Understand the difference between: primary and secondary data;
discrete and continuous data

Design suitable data sheets for surveys and experiments

Understand about bias in sampling


Understand sampling and population
Deal with practical problems in data collection, such as non-response,
missing or anomalous data

Gather information from two-way tables
Contents:
Displaying data, charts and graphs
OBJECTIVES

Represent data as:

Pictograms

Pie charts (for categorical data)

Bar charts and histograms (equal class intervals)

Line graphs

Composite and comparative bar charts

Frequency polygons

Stem and leaf diagrams

Choose an appropriate way to display discrete, continuous and
categorical data

Understand the difference between a bar chart and a histogram

Compare distributions shown in charts and graphs

Interpret graphs and charts and draw conclusions
Contents:
Averages
OBJECTIVES

Find the mean of data given in an ungrouped frequency distribution

Find the mode, median and range for a small set of data

Find the modal class for grouped data

n  1  , where
Find the median by using 

 2 
n is the number of items of
data

Find the mean from a frequency table by using ‘fx’ (extend table to
extra columns)

Use the midpoint of class intervals to find an estimate for the mean of
grouped data

Know the advantages/disadvantages of using the different measure of
average

Compare data sets by using statistics like averages, ranges, and
frequency polygons
Contents:
Scatter graphs and correlation
OBJECTIVES

Draw and interpret a scatter graph

Distinguish between positive, negative and zero correlation using a line
of best fit

Draw a line of best fit by eye and understand what it represents

Use a line of best fit to estimate values
Contents:
Probability
OBJECTIVES

Mark events and/or probabilities on a probability scale of 0 to 1 and/or
express probability in words, fractions, decimals or percentages

List all the outcomes from mutually exclusive events, eg from two
coins, and sample space diagrams

Write down the probability associated with equally likely events, eg the
probability of drawing an ace from a pack of cards

Know that if the probability of an event occurring is p than the
probability of it not occurring is (1 – p)

Find the missing probability from a list or table (decimal or fractional
values)

Find estimates of probabilities by considering relative frequency in
experimental results (including two-way tables)

Know that the more an experiment is repeated the better the estimate
of probability

Add simple probabilities

Estimate the number of times an event will occur, given the probability
and the number of trials
Contents:
Integers
OBJECTIVES

Understand and order integers

Add, subtract, multiply and divide integers

Understand simple instances of BIDMAS, eg work out 12  5 – 24  8

Round whole numbers to the nearest, 10, 100, 1000, …

Multiply and divide whole numbers by a given multiple of 10

Check their calculations by rounding, eg 29  31  30  30
Module
1-7
Contents:
Decimals
Time: 1 – 3 hours
OBJECTIVES

Put digits in the correct place in a decimal number

Write decimals in ascending order of size

Approximate decimals to a given number of decimal places or significant
figures
Contents:
Fractions
OBJECTIVES

Visualise a fraction diagrammatically

Understand a fraction as part of a whole

Recognise and write fractions in everyday situations

Write a fraction in its simplest form and recognise equivalent
fractions

Compare the sizes of fractions using a common denominator

Write an improper fraction as a mixed number

Recognise common recurring decimals can be written as exact
fractions, eg 1
3
Contents:
Percentages
OBJECTIVES

Understand that a percentage is a fraction in hundredths

Write a percentage as a decimal; or as a fraction in its simplest terms

Calculate the percentage (or fraction) of a given amount

Find a percentage increase/decrease of an amount

Use a multiplier to increase by a given percent, eg 1.10  64 increases
64 by 10%
Contents:
Ratio
OBJECTIVES

Write a ratio in its simplest form

Appreciate that, eg the ratio 1:2 represents 1 and 2 of a quantity
3
3

Divide quantities in a given ratio, eg divide £20 in the ratio 2:3

Solve word problems involving ratios, eg Find the cost of 8 pencils
given that 6 pencils cost 78p
Contents:
Introduction to algebra
OBJECTIVES

Distinguish the different roles played by letter symbols in algebra

Understand the meaning between the words ‘equation’, ‘formula’, and
expression

Write a simple expression
Contents:
Straight line graphs
BJECTIVES

Draw linear graphs from tabulated data, including real-world examples

Interpret linear graphs, including conversion graphs

Draw and interpret graphs in the form y = mx + c (when values for m
and c are given)

Understand that lines are parallel when they have the same value of m

Find the gradient of a straight line graph
Contents:
Lines and angles
OBJECTIVES

Measure and draw angle to the nearest degree

Measure and draw line to the nearest mm

Use angle properties ‘at a point’ to calculate unknown angles
Contents:
Units and reading scales
OBJECTIVES

Use 12- and 24-hour clock notation

Make estimates of: length; volume and capacity; weights

Decide on the appropriate units to use in real life problems

Read measurements from instruments: scales; analogue and digital
clocks and thermometers, etc

Recognise that measurements given to the nearest whole unit may be
inaccurate by up to one half in either direction

Convert from one metric unit to another metric unit