Foundation module scheme of work

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					AQA Mathematics for GCSE Chapter 1 – Statistical measures                        Time allocation: 6 Lessons + 1 Test

AQA specification references:
F4.4b Calculate mean, range and median of small data sets with discrete and then continuous data
F4.5d Compare distributions and make inferences, using measures of average and range
F4.4b Identify the modal class for grouped data
F4.4g Find the median for large data sets and calculate an estimate of the mean for large data sets with grouped data


Prior knowledge needed:                                                          Resources needed:
 Understand addition, multiplication and division of a set of numbers –
    with and without the use of a calculator

                                                                                    Teacher’s book            Students’ book   Homework book
                       Learning objectives                            Grade
                                                                                      references                references       references
   Find the mode for a set of numbers
                                                                         G
   Find the median for an odd set of numbers
   Work out the range for a set of numbers
   Calculate the mean for a set of numbers
                                                                         F
   Find the median for an even set of numbers
   Write down the mode from a graph
                                                                                       pp. 1–10                  pp. 1–12         pp. 1–4
   Compare the mean and range of two distributions
                                                                         E
   Calculate the ‘fx’ column for a frequency distribution
   Calculate the mean for a frequency distribution
                                                                         D
   Find the modal class for grouped data
   Find the mean for grouped data
                                                                         C
   Find the median class for grouped data

Assessment:
E-Mathematics Modules 1 to 4 CD-ROM: Statistical measures (F): Prerequisite test
                                        Statistical measures (F): Chapter test, grades G-E
                                        Statistical measures (F): Chapter test, grades E-C
Modular Test and Assessment: Prerequisite test – Statistical measures (Foundation)
                             Chapter test grades G-E – Statistical measures (Foundation)
                             Chapter test grades E-C – Statistical measures (Foundation)

Notes:
AQA Mathematics for GCSE Chapter 2 – Representing data                          Time allocation: 6 Lessons + 1 Test

AQA specification references:
F4.1a Process and represent the data: turn the raw data into usable information that gives insight into the problem
F4.1a Interpret and discuss: answer the initial question by drawing conclusions from the data
F4.4a Draw and produce … pie charts for categorical data
F4.4a Draw and produce … diagrams for continuous data, including stem-and-leaf diagrams
F4.4a Draw and produce … diagrams for continuous data, including line graphs, time series … frequency diagrams


Prior knowledge needed:                                                         Resources needed:
 Measures of average including mean, median and mode
 Accurate use of ruler and protractor

                                                                                  Teacher’s book            Students’ book   Homework book
                      Learning objectives                            Grade
                                                                                    references                references       references
   Construct and interpret a pictogram
                                                                        G
   Construct and interpret a bar chart
   Construct and interpret a dual bar chart
                                                                        F
   Interpret a pie chart
   Construct a pie chart                                                             pp. 11–26                pp. 13–30        pp. 5–12
                                                                        E
   Interpret a stem-and-leaf diagram
   Construct a stem-and-leaf diagram (ordered)
   Construct a frequency diagram                                       D
   Interpret a time series graph

Assessment:
E-Mathematics Modules 1 to 4 CD-ROM: Representing data (F): Prerequisite test
                                        Representing data (F): Chapter test, grades G-E
                                        Representing data (F): Chapter test, grades E-C
Modular Test and Assessment: Prerequisite test – Statistical measures (Foundation)
                             Chapter test grades G-E – Representing data (Foundation)
                             Chapter test grades E-C – Representing data (Foundation)

Notes:
AQA Mathematics for GCSE Chapter 3 – Scatter graphs                             Time allocation: 6 Lessons + 1 Test

AQA specification references:
F4.4a Draw and produce scatter graphs
F4.5f Have a basic understanding of correlation as a measure of the strength of the association between two variables; distinguish between positive, negative
and zero correlation
F4.4h Draw lines of best fit by eye
F4.5f Identify correlation or no correlation using lines of best fit


Prior knowledge needed:                                                         Resources needed:
 Use coordinates to plot points on a graph
 Draw graphs including labelling axes and giving a title

                                                                                   Teacher’s book            Students’ book             Homework book
                      Learning objectives                             Grade
                                                                                     references                references                 references
   Draw a scatter graph by plotting points on a graph
                                                                        D
   Interpret the scatter graph
   Identify the type and strength of the correlation                   C             pp. 27–40                 pp. 31–46                   pp. 13–22
   Draw a line of best fit on the scatter graph                        D
   Interpret the line of best fit                                      C

Assessment:
E-Mathematics Modules 1 to 4 CD-ROM: Scatter graphs (F): Prerequisite test
                                        Scatter graphs (F): Chapter test, grades E-C
Modular Test and Assessment: Prerequisite test – Scatter graphs (Foundation)
                             Chapter test grades E-C – Scatter graphs (Foundation)

Notes:
AQA Mathematics for GCSE Chapter 4 – Collecting data                            Time allocation: 6 Lessons + 1 Test

AQA specification references:
F4.3c Design and use two-way tables for discrete and grouped data
F4.2d Identify which primary data they need to collect and in what format, including grouped data, considering appropriate equal class intervals
F4.3a Design and use data collection sheets for grouped discrete and continuous data; collect data using various methods
F4.3b Gather data from secondary sources
(H4.3d) Deal with practical problems such as non-response or missing data
F4.1a Decide what data to collect


Prior knowledge needed:                                                         Resources needed:
 Counting and, in particular, counting in fives (for tally charts)

                                                                                   Teacher’s book           Students’ book             Homework book
                       Learning objectives                            Grade
                                                                                     references               references                 references
   Design and use tally charts for discrete and grouped data           G
   Design and use two-way tables for discrete and grouped data         E
   Classify and know the difference between various types of
    data                                                                D
                                                                                      pp. 41–56                pp. 47–62                   pp. 23–30
   Design and use data collection sheets and questionnaires
   Identify possible sources of bias in the design and use of data
                                                                        C
    collection sheets and questionnaires
   Use a variety of different sampling methods                         D

Assessment:
E-Mathematics Modules 1 to 4 CD-ROM: Coordinates (F): Prerequisite test
                                        Coordinates (F): Chapter test, grades E-C
Modular Test and Assessment: Prerequisite test – Coordinates (Foundation)
                             Chapter test grades E-C – Coordinates (Foundation)

Notes:
AQA Mathematics for GCSE Chapter 5 – Probability                                Time allocation: 8 Lessons + 1 Test

AQA specification references:
F4.3g Use the vocabulary of probability to interpret results involving uncertainty and prediction
F4.4c Understand and use the probability scale
F4.5h Compare experimental data and theoretical probabilities
F4.4d Understand and use estimates or measures of probability from theoretical models or from relative frequency (including equally likely outcomes)
F4.5i Understand that if they repeat an experiement, they may – and usually will – get different outcomes, and that increasing sample size generally leads to
better estimates of probability and population characteristics
F4.4e List all outcomes for single events, and for two successive events, in a systematic way
F4.4f Identify different mutually exclusive outcomes and know that the sum of the probabilities of all these outcomes is 1


Prior knowledge needed:                                                         Resources needed:
 How to add and subtract fractions
 How to cancel fractions
 How to add and subtract decimals

                                                                                   Teacher’s book            Students’ book             Homework book
                       Learning objectives                            Grade
                                                                                     references                references                 references
   Understand and use the vocabulary of probability                     G
   Understand and use a probability scale
                                                                         F
   Express a probability as a fraction
   Understand the difference between experimental and
    theoretical probabilities                                            E
   Understand and use relative frequency                                              pp. 57–66                pp. 63–76                   pp. 31–37
   Use probability to estimate outcomes for a population                C
   Display outcomes systematically                                      F
   Understand mutually exclusive events
   Use the fact that the probabilities of mutually exclusive            D
    events add up to 1

Assessment:
E-Mathematics Modules 1 to 4 CD-ROM: Probability (F): Prerequisite test
                                        Probability (F): Chapter test, grades F-D
Modular Test and Assessment: Prerequisite test – Probability (Foundation)
                             Chapter test grades F-D – Probability (Foundation)
Notes:

				
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