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Graphs - Sequences - Teacher Notes
Solvemymaths has produced pages like this for lots of topics
NRICH: Odds or Sixes?
NRICH: Twelve Pointed Star Game
NRICH: Same or Different?
NRICH: Substitution Cipher
NRICH: Toying with Spinners
NRICH: The Better Bet
NRICH: Birthday Bet
Probability is one of those topics that appeals to all learners because it can be approached practically.
Which team will win?
NRICH: KS2/3 Accessible Activities
NRICH: KS3/4 Accessible Activities
NRICH: KS4/5 Accessible Activities
Online Interactive Resources
Single 6, 8, 10 or 12 Sides Virtual Dice where you can number as you wish Single Spin option only Click here
One Two or Three Six Sided Dice Click here
Multiple Dice and Adjustable Spinners Click here
Non Transitive Dice
Great for some relative frequency work before drawing up the sample space to explore the theoretical probabilities - Click here for more details
These are the only dice which have the same expected outcomes as a pair of ordinary dice. Get pupils to explore possibilities or give them the 12 numbers and see whether they can place them on the correct dice Click here for more details
Listing Outcomes - Combining Probabilities
Design a Game
This simple problem was posed by Daniel Finkel:
Consider this simple game: flip a fair coin twice. You win if you get two heads, and lose otherwise. Its not hard to calculate that the chances of winning are 1/4 . Your challenge is to design a game, using only a fair coin, that you have a 1/3 chance of winning.
Finkel continues, "And here is my recipe for getting the most out of this problem: if you can solve it, do not stop with one answer. Rather, see how many answers you can come up with. Ive posed this problem to many people, and I continue to hear novel solutions."
Here are three familiar solutions (I notice these also turned up quickly in readers' comments to the NYT!):
§ Toss the coin until the first head appears. You win if this takes an even number of tosses
§ Toss the coin twice. You win on HH and lose on HT or TH. If TT appears, ignore the result and make another two tosses.
§ Toss the coin until the first appearance of HTT or HHT on consecutive tosses. You win HTT.
Simple probability match-up - mathspad.co.uk
Frog race - Flash Maths
Probability and words - Median Don Steward
Evaluating Statements about Probability - Maths Assessment Project (activities at the back)
Introduction to probability - lessons plans and activities - Project Maths
Introduction to relative frequency - lessons plans and activities - Project Maths