Sky math challenge 7H

Ratios and Probability ,[object Object]

Why I chose this topic :) ,[object Object],[object Object],[object Object]

Essential Question : How can Ratios be used to find the probability of a specific outcome of an event? ,[object Object],[object Object]

What is a Ratio? ,[object Object],[object Object],Ratios have been around for a long time. Early translators think this word may have been latin, a ratio meaning reason (as in rational). A ratio is a comparison of two numbers using division (part to part or part to whole) A:B Ratios are often expressed in equations and number sentences like this

What is Probability? ,[object Object],[object Object],Probability is a way of expressing knowledge about what will happen or what happened with different variables and various outcomes. Probability is used mainly in these areas of study; Finance, gambling, mathematics, statistics, science and philosophy. But Probability is only a follow up or a branch of mathematics

Probabilities and Ratios their uses ,[object Object],[object Object],[object Object]

Probabilities and Ratios their uses (continued) ,[object Object],[object Object],[object Object]

Probabilities and Ratios used together ,[object Object],[object Object],[object Object]

Experiments Conducted Number of One’s rolled)xxxxxxx:7 Number of Two’s rolled)xxxxxx:6 Number of Three’s rolled)xxxxx:5 Number of Four’s rolled)xxxxxx:6 Number of Five’s rolled)xxxxxxx:7 Number of Six’s rolled)xxxxx:5 Ratio of Outcomes: 7:6:5:6:7:5 rolled 36 times The Ratio of Rolling a 1 is 1:6 The Ratio of Rolling a 2 is 1:6 The Ratio of Rolling a 3 is 1:6 The Ratio of Rolling a 4 is 1:6 The Ratio of Rolling a 5 is 1:6 The Ratio of Rolling a 6 is 1:6 For Example there is 1 die and 6 sides: There are 6 possible outcomes Face of Dice Number of times rolled 1 7 2 6 3 5 4 7 5 6 6 5

Experiments Conducted For example there are 10 fur balls in a cup Red and Yellow there are 2 different colors of marbles. Average Ratio: 2:3 Red 2:3 Yellow The estimated amount of yellow fur balls in the cup is 6 The estimated amount of red fur balls in the cup is 4 The probability of picking a Yellow fur ball is 6 out of 10 times The probability of picking a Red fur ball is 4 out of 10 times ,[object Object],[object Object],[object Object],[object Object],[object Object],Red Yellow Ratio Trial 1 3 2 3:2 Trial 2 2 3 2:3 Trial 3 2 3 2:3

Classroom activity Now we will conduct an experiment/roll a dice :) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Bibliography ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Sky math challenge 7H

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Sky math challenge 7H