Year 6 Blog 2017: Maths Answers Mr Lima

i) What was your prediction and why did you make this prediction?

It seems the most likely. Answers will vary.

ii) Write down your tally.

iii) What was the frequency of the number 5. (Frequency means: the number of times a particular outcome occurs in a chance experiment)

Answers will vary.

iv) Who got the closest?

v) What was the chance of rolling a 5 for each roll? (write this as a fraction)

one in five

vi) What is the chance of rolling an 8? (likely, impossible, unlikely, certain)

impossible

vii) What is the likely chance of rolling a 2 only once after 30 rolls?

unlikely

viii) List two outcomes that are certain.

rolling a number 1 and 2. Answers will vary.

Task 1 b): Based on what you found on task 1, predict how many times you would have rolled a 1,2,3 etc if you had rolled 150 times.

i) What did you have to do to find out how to do this?

multiply your findings by 5. e.g. if I rolled a 6 10 times, then I would need to multiply 10 by 5 to get 50. I would have rolled a 6 50 times if I had rolled a dice 150 times.

ii) Why did you have to do the step above?

Already answered. To get to 150.

Task 2: Go to the website and learn how to play the spinner game. http://www.scootle.edu.au/ec/viewing/L2376/ma_004_csiro_200/index.html

A) Create a spinner that has 4 sections only and put one colour in each.

B) Predict how many times the spinner will land on each colour considering you will be spinning it 10 times. Test it and see how close you got.

C) Do the same thing for 100 spins and 1000 spins.

D) Place the spinner on 100 spins and spin it. Do this 4 times. What did you notice? Why are they different every time?

No they are different.

i) What did you learn from this activity?

That even thought we can predict that something will happen, when we actually do it, it can be quite different.

ii) If the spinner is equal and fair, why are spins different every time? (for example, when you spin it 100 times once, why is it different to the next time you do it?)

When you do something in real life, things can be different. For example, if you tossed a coin 100 times, the probability of getting heads is 50, however there is nothing to stop it from landing on heads 100 times in a row, it is just very unlikely.

iii) Shouldn’t it always be the same because it is a fair experiment?

Only in theory. In real life it is different. Take for example the favourite in a horse race.

Describe probabilities using fractions, decimals and percentages (ACMSP144)

Task 3 a): These activities are similar to the activities above, however they are not as fair. There is not an equally likely chance that every number (for the dice) and every colour will be represented equally.

Go to the spinner website again http://www.scootle.edu.au/ec/viewing/L2376/ma_004_csiro_200/index.html

And create a spinner that is not fair (equally likely that every colour is represented equally). For example, create a spinner with 5 sections. Make 3 of them blue, one section red, one section yellow. Predict the frequency of blue and then test it on fast spin for 100 times. What did you find. Try doing this 4 times and see what you get. Answer the questions below:

i) What was the frequency of blue on your first spin?

ii) Why is this spinner unfair or unequal?

iii) What is the likelihood of the spinner landing on yellow 100 times?

iv) What is the fraction of blue and what is it as a percentage?

Answers for Mass Worksheet