Functional Skills and 2010 GCSE's

To thrive in an economy defined by innovative application of knowledge, we must do more than absorb and feed back information.  Learners and workers must draw on their entire spectrum of learning experiences to apply what they have learned in new and creative ways.  Diploma and it's Pedagogy QCA/08/3908

Teaching Functional Maths – A Possible Approach

Opening Up Problems

Firstly make use of any images, tables of results, diagrams from a book or exam question and use it several times.  Get the pupils to pose problems that could be answered from the information they have been presented with, collect the groups questions and then get them to answer their own problems. For example you might have some data about heights of some athletes, you could ask:

Who is the tallest, difference in height between …, what is the mean, how would the mean change if the tallest athlete left, present this data as a bar chart or Pictogram, what is the total height in m, or in cms etc…   Try to open up the one question to make the experience richer and it also means you do not need to locate as many questions and the students have ownership of the problems.

You might like to consider the following model:

Adopt a project based approach to the delivery of the content.  This would mean that you would teach the skills when they need them to solve a particular problem.

I have included a range of possible projects which you might like to adapt or use:  Click here

Bowland Tasks – Click here
Cre8ate Tasks – Click here
Nuffield Practical Tasks – Click here

Finance Based Materials – Level 1 - www.nuffieldfoundation.org/fsmqs/level-1-foundation

Exam Materials

Some AQA Level 1 Exam Papers – Click here
Some AQA Level 2 Exam Papers – Click here

Additional Materials

Functional Skills Progression - Click here
Functional Skills - Revision Booklet
AQA Materials Level 1 and Level 2 – Click here
OCR Activity Bank – Click here
Axis Education Skills Builder Series of Activities - Click here
Study Plus Handbook with Functional Maths Ideas - Click here
Large selection of Free Functional Skills and Skills for Life resources from Entry Level 1 up to Level 2 with supporting materials -
Click here

SCAFFOLDING WORDY GCSE Questions to Support Students

QWC (Quality of Written Communication)

Boxing Up - Great article on tackling the QWC (Quality of Written Communication) questions - Click here                
PowerPoint with example problems - IMCA Version          [Information - Maths - Calculation - Answers]
Original Boxing Up - PowerPoint            Completed Example             

GCSE questions - Zebedee Friedman

The idea is to take the complex exam question with no scaffolding and to warm them up by turning it into a 'mystery' on cards. After getting students to solve the problem on cards you can get them to analyse what they needed to know first in order to solve the larger problem. Later giving them these types of questions with less scaffolding over time.
 
Hints
This came from being asked to run revision alone for 55 linear higher paper C/D students in the school hall without any means to project or use of a board. Actually I did have a flip chart.... Beware you may find a couple of mistakes!
 
Mysteries: How Many Litres were Sold? - Click here Manchester to New York - Click here
  Weekly Milk - Click here Whales and Teapot - Click here
  Travelling - Click here Flights - Click here
  Exam Marks - Click here Weight of Blocks - Click here
  Tables and Chairs - Click here Problem for Pupils to Develop - Click here
Hints: Calculator Questions - Click here Algebra Questions - Click here
  June 2012 Exam Paper - Click here  

Scaffolding Problems – Support Document – Click here
Supporting Problem Solving in Algebraic Context - Click here    
The following problems can be downloaded from this drop box folder – Click here

The following PowerPoint presentations are the result of a collaboration between myself and Alex Cufflin who is an AST at Rawlins College in Loughborough.  The files present a GCSE question in 5 formats with the aim of helping pupils break questions down themselves and hence eliminating the need for the support in the longer term. 

1 star option is the easiest and 5 star the hardest.  1 star gives guidance and highlights key values, 2 star gives guidance, 3 star highlights, 4 star gives a few hints and 5 star gives very little help.

Task Title

Topic Context Tier

Click here to DOWNLOAD ALL THE FILES in a zipped folder (Select right click and save as)

Area 1 Area of Compound Rectangles Carpets F
Area 2 Area and Perimeter of Rectangles Chicken Coop F
Averages 1 Averages from Frequency tables Exam Results F
FDPR 1

Percentage and Fraction of

Recycling F
FDPR 2 Percentage, Fraction & Ratio School Play F
Loci 1

From a point and From a line

Playground F
Simultaneous 1 Graphically Bus Hire F
Money 1 4 Rules Running a Car F
Money 2 4 Rules Gas Bill F
Money 3 4 Rules 5-a-day F
Money 4 Money & Simple Percentages Shoe Sale F
Reading Table 1 Two-Way Table A Night Out F
Reading Table 2 Two-Way Table Van Hire F
Reading Table 3 Two-Way Table Cost of Holiday F
Volume 1 Prism Swimming Pool F
Volume 2 Cylinder & Sphere Test Tube H
Formula 1 Time Cooking Time F
Logic 1 Two-Way Table Newspapers F
Probability 1 Sample Spaces Charity Game F
Bounds 1 Number Bounds Coffee Cup H
Percentage 1 Simple Percentage Holiday F
Percentage 2 Simple Percentage Buying Shirts F
Percentage 3 Compound Interest Savings H
Percentage 4 Simple Percentages Holiday Cost F

Functional Skills Starter Questions

Many thanks to a team of teachers from Brighton and Hove for the following PowerPoint presentations which are designed to be used as a Starter question to prepare pupils for less structured problems, the answer is provided as well as common mistakes to look out for.

These Starter Problems can be accessed from this dropbox folder:  Click here

Foundation Tier Click here to DOWNLOAD ALL THE Foundation FILES in a zipped folder (Select right click and save as)
Number Number 1 Number 2 Number 3 Number 4 Number 5
  Number 6 Number 7 Number 8 Number 9 Number 10
  Number 11 Number 12 Number 13    
Algebra Algebra 1 Algebra 2 Algebra 3 Algebra 4 Algebra 5
  Algebra 6 Algebra 7      
Statistics Statistics 1 Statistics 2 Statistics 3 Statistics 4 Statistics 5
  Statistics 6 Statistics 7 Statistics 8 Statistics 9  


 

Foundation/Higher  Tier Click here to DOWNLOAD ALL THE F/H FILES in a zipped folder (Select right click and save as)
Number Number 1 Number 2 Number 3    
Algebra Algebra 1 Algebra 2      
Measures Measures 1        
Shape Shape 1 Shape 2      
Statistics Statistics 1        


 

Higher Tier Click here to DOWNLOAD ALL THE Higher FILES in a zipped folder (Select right click and save as)
Number Number 1 Number 2 Number 3    
Algebra Algebra 1 Algebra 2 Algebra 3 Algebra 4 Algebra 5
Statistics Statistics 1 Statistics 2 Statistics 3 Statistics 4 Statistics 5
  Statistics 6 Statistics 7 Statistics 8 Statistics 9  
  Statistics 10 Statistics 11 Statistics 12 Statistics 13  


This document has lots of those give your reason type questions which can be so problematic - Click here