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Practical Activities in Mathematics


GAIM Materials
from 1990's which was a scheme which actively encouraged teaching and learning through practical problem solving and investigations now available free - Click here

Number Topics

Number Activities
(Sheena Flowers)
Activities
Negative Numbers
(Sheena Flowers)
Activity
Multiplying by 10n
(Sheena Flowers)
Activity
Shadow Lengths
Activity
Factors & Primes
(Sheena Flowers)
Activity
Fractions of Amounts
(Mark Greenaway)
Activity
   
   

Algebra Topics
Construct Solid from Cards
Do-Deck-ahedron
Large Model and Template
Frogs
(Matthew Wells)
Activity
Activity Ext
People Maths
Four Investigations
Activity


ATM Book 1
ATM Book 2
Straight Lines
(Sheena Flowers)
Activity
King Arthur
Investigation
Activity

Support Sheet
Class Record Sheet

Solution
Speed-Time Graphs
Using a Data Logger
Using the Texas CBR
Lesson Notes
Running Man Applet
Speed Graphs
The Big Race Questions
   
   

Shape & Measures Topics
Outdoor Treasure Hunt
Resource
Reflections
Translations
(Matthew Rose)
Activity
Pendulum Design 
Construct a Pendulum
Coordinates
Straight Lines
Lesson Outline

Coordinate Cards
Transformations
(Miriam Sismey)
Lesson Plan
Circle Theorems
(Miriam Sismey)
Lesson Plan
Circle Theorems
(Mr Collins)
Lesson Plan
Balloon Powered Racers
PowerPoint Introduction
Instruction Sheet 1
Instruction Sheet 2
How to Build
Some Working Models
Estimating Measures
Questions
Answer Sheet
Enlargement
(Ash Mistry)
Worksheet
Loci
(Nathan Rawlings)
Activity Sheet
Measures Circus
(Sheena Flowers)
Activity
Student Worksheet
Compass Directions
(Sheena Flowers)
Activity
     
     

Probability Topics
       


Handling Data Topics

Reaction Times
Instructions for pupils
General Information

Bungee Jumping
Activity
Correlation
(Dave Harrington)
Activity
Body Maths
Correlation
Activity
Brain Gym Ideas

Brain Gym: Teacher's Edition Revised Paul Dennison 1994, Educational Kinesiology Foundation, ISBN 0942143027

Accelerated Learning in the Classroom by Alistair Smith ISBN Number 1-85539-034-5

Brain Gym Activities from The ALPS approach - Accelerated Learning in Primary Schools by Alistair Smith and Nicola Call (ISBN 1 85539 056 6)

Wide range of resources on the TES website: Click here

www.braingym.org.uk/ - access to Brain Gym resources.

PowerPoint with Some Ideas

Stand in the middle the room with all of the students around the outside facing you. Throw them a soft ball and tell them to catch it or drop it – they have to do the opposite, if the don’t they sit down.
Pair them up and get them to count to 3 (alternating so 1 2 3 1 2 etc. ) as quickly as possible. They will find this surprisingly difficult at first.
When they can do this quickly, add another instruction e.g. nod your head when you say '3'.
Count from 1 to a reasonable number; eg: 30.
When a multiple of five, left arm & left leg out to the side...if a multiple of three... right arm, right leg to the side...if a multiple of 3 and 5 both both arms and legs out to the side (matchstick man jump I hope that makes sense !)

Speed it up - slow down as needed.
Students stand up with arm out in front of them and with feet shoulder width apart, tell them to turn around as far as they can (without moving their feet) and and remember the point on the wall they got to.
Then get them to close their eyes and imagine doing the same thing but getting past the point they reached. Now quickly, get them to open their eyes and repeat the turning and they always get past their original point. Tell them that in a similar way, passing or failing is a state of mind and send them off thinking positively.
Display a sequence of numbers and underneath the numbers you have L, R or T (left, right, together). For example

2 4 6 8 10
L R R T L

Students say the numbers out loud and at the same time raise up either their left, right or both hands. That is the hand they raise up corresponds to the letter under the number.
Pupils standing up. When you say go they run on the spot and when you say stop they stop. Practise this a few times then add in when you say jump they jump and when you say clap they clap. Practise with all four instructions randomly for a short time and then say

"when I say stop you go and when I say go you stop. When I say jump you clap and when I say clap you jump" (so they are doing the reverse of what you say. You can add any other actions you wish to this eg cold (shivering), hot (fanning themselves).
I use spot running (counting to ten), jumping jacks (counting to ten), one arm bent back behind the shoulder touching the other arm bent upwards, bend down to touch toes …

Mathematical Activities Across the Curriculum

Science - Physics
Foundation Level
Mission to Mars - This resource was funded by the Spacelink Learning Foundation and written by Sheffield Hallam University. It is aimed at students between 11 and 14 years of age.
The resource is based around the Beagle 2 mission to Mars. The students have five main tasks:
• Work in a team to prepare a short drama about the plight of Beagle 2 
• Identify the likely problems that could have caused the Beagle 2 failure
• Design, build and test a parachute for a Mars lander
• Calculate the basic measurements of a parachute suitable for use on Mars
• Design a model for a Mars lander.   Teacher Notes      Task Sheet     Pupil Log Book    
nrich.maths.org/7459 - Building a helicopter , making design changes to suit the purpose of the project. All abilities could get involved in this.
Carbon Footprint Project - The whole project involves working out how much energy a student uses in week and how many calories, protein etc they require. They can also look at the food they eat and see the nutritional content and match this up to their needs.
Alka-Selzter Rocket
Bridges and Structures -  An engineering feel to this – all abilities would get something out of this.
Make your own Solar System – Activity
Planetary Data for analysis
Your Planetary Age
Level 2 - Large and small    This activity introduces standard form and shows students how to use it in real life contexts. 
nrich.maths.org/6140 -Large and small numbers - could be used as an intro into standard form or a consolidation.
Level 2 - Road test  Students use acceleration and braking data from a car road test to draw graphs. Students then interpret the graphs and make predictions about values which have not been plotted.
Level 2 - Speed and distance   Students explore the idea that the area under speed-time graphs can be used to find the distance travelled.
 
Higher Level
Level 3 - Test run   Students interpret a speed–time graph for a car during a test run, and fit linear and quadratic models to the graph
 
Science - Biology
Foundation Level
Keeping baby warm – Making models of a baby and an adult, could be to scale, calculate volume and surface area. All abilities.
Nutrition Project
Level 2 - Heart rate   Students are shown how to measure their pulse rate. They then investigate the effect of other things like exercise and relaxation.
Level 2 - Five a day   Students collect data and then use statistical methods to analyse the results.
Level 2 - Larks and owls  A very open investigation in which students may set their own statistical tasks based on sleep requirements. 
 
Higher Level
Level 3 - Anthropometric data Students investigate relationships between anthropometric variables and write a report on their findings. This may include the use of scatter diagrams, lines of best fit, regression lines, and correlation coefficients.
Level 3 - Stature  Students use simulated stature data for men and women in eight countries to draw histograms and look for general results.
Level 3 - Climate prediction   There are two versions of this activity.
Students create (A) spreadsheets or use (B) graphic calculators to model what would happen to the temperature of the Earth if there were to be a sudden change in the amount of radiation entering or leaving the planet. Then they investigate polynomial and exponential functions to find the best model. 
Level 3 - Cup of coffee  Students model data from measuring how long caffeine from tea, coffee or cola stays in the human body’s bloodstream. This involves drawing graphs, then finding functions and parameters to fit different models to the graphs.
Level 3 - Ozone hole  Students suggest types of function to model ozone hole data (given in a table and also a graph) before using a graphic calculator or spreadsheet to find at least two particular models.  They then consider how well their functions model the data and what they predict for the future.
 
Technology
Foundation Level
Level 1 - What is it? - Recognising and drawing objects from different viewpoints. 
Level 1 - Measure it!  Estimating lengths and measuring objects using both centimetres and millimetres.
Decorating Project
 
Geography
Foundation Level
Level1 - Shorter by helicopter  Students plot graphs of real data to compare the straight-line distances between towns with the distance by road
Location Project
 
ICT & Computing
Foundation Level
Computing Project