Counting postcards Nick Cook, School of Computing Science, Newcastle University http://www.ncl.ac.uk/computing/outreach/resources/primary Preamble In this activity we look at how to do addition, one step at a time. The first purpose of this activity is to see whether pupils can work out what the instructions achieve. Then we can explore how addition is achieved, and, for example, the largest number that can be added using the "computer". Activity Resources A set of 20 cards or counters Three numbered post boxes - boxes with lids, slots to post cards through and a flag to show that the box has something in it. The boxes are numbered 1 to 3. Box 3 must have two flags – one on the left and one on the right. Players: 2 number jacks, at least 1 postman Pat and at least 1 postwoman Pat, 1 black and white cat, 1 shopkeeper at the post office counter Instructions for the number jacks, postman Pat, postwoman Pat, the black and white cat, and the shop keeper at the Post Office counter The boxes are arranged as follows, with flags down to start. Each number jack is given 10 cards. number jack number jack 1 2 3 shopkeeper Workshop worksheet (po2) What does this "computer" do? What is the largest number we can add up to with the set of resources? What do we have to change to add to a larger number? Does this tell us anything about computers and numbers? What if we want to add 3 numbers together? Can we use this computer? What happens if we tell a number jack to choose a number between 0 and 10 instead of 1 and 10? How can we change the instructions so that the computer still works? What if we want to do subtraction? What changes do we have to make? (Hint: you need at least one more box) Why does box 3 need two flags? What happens if someone forgets to put a flag up or down? Please discuss the suitability of this activity, improvements and extensions. For example: Is the level appropriate to Key Stage 1 and which year? Are there changes you would suggest? Are there links to or uses in other parts of the Key Stage 1 curriculum? Are there links to your own practice? Instructions for the number jack Pick a number between 1 and 10. Write your number down. Count out that number of cards. When the flag on the post box in front of you is down: Post all of the cards you counted out into the post box Put the flag up on the post box Instructions for Postman Pat When the flag on post box 1 is up: 1. Open the lid of post box 1 2. Take 1 card out of post box 1 3. If post box 1 is now empty, put the flag down on post box 1 4. Close the lid of post box 1 5. Post the card you took from post box 1 in post box 3 6. If post box 1 is now empty, put the flag on the right hand side of post box 3 up Repeat the instructions. Instructions for Postwoman Pat When the flag on post box 2 is up: 1. Open the lid of post box 2 2. Take 1 card out of post box 2 3. If post box 2 is now empty, put the flag down on post box 2 4. Close the lid of post box 2 5. Post the card you took from post box 2 in post box 3 6. If post box 2 is now empty, put the flag on the right hand side of post box 3 up Repeat the instructions. Instructions for the Black and White Cat When both flags on post box 3 are up: 1. Open the lid of post box 3 2. Take all of the cards out of the post box 3. Give the cards to the shopkeeper at the Post Office counter 4. Put both flags on post box 3 down Repeat the instructions. Instructions for the shopkeeper Count the cards you have been given and write the total on the whiteboard.