YEAR 5 MATHS FOCUS

STATISTICS AND PROBABILITY

Chance

Learning Experiences

Chance

Learning Experiences

WE ARE CLOSED FOR THE HOLIDAYS – DECEMBER 21 – JANUARY 4 2021

NORMAL TIMES OF OPERATION

OFFICE OPENING TIMES
08:30AM – 4:00PM

SCHOOL DAY TIMES
09:00AM – 3:15PM

(02) 5632 1218

office@living.school

63-67 Conway Street,
Lismore, NSW 2480
Australia

Living School Australia – 2020 Vision into the future.

TEACHING POINTS	Students will need some prior experience in ordering fractions and decimals on a number line from 0 to 1.
	The probability of chance events occurring can be ordered on a scale from 0 to 1. A probability of 0 describes the probability of an event that is impossible. A probability of 1 describes the probability of an event that is certain. Events with an equal likelihood of occurring or not occurring can be described as having a probability of 1/2 (or 0.5 or 50%). Other expressions of probability fall between 0 and 1, eg events described as ‘unlikely’ will have a numerical value somewhere between 0 and 1/2 (or 0.5 or 50%).
	The sum of the probabilities of the outcomes of any chance experiment is equal to 1. This can be demonstrated by adding the probabilities of all of the outcomes of a chance experiment, such as rolling a die.

LANGUAGE	Students should be able to communicate using the following language: chance, event, likelihood, certain, possible, likely, unlikely, impossible, experiment, outcome, probability.
	The probability of an outcome is the value (between 0 and 1) used to describe the chance that the outcome will occur.
	A list of all of the outcomes for a chance experiment is known as the ‘sample space’; however, this term is not introduced until Stage 4.

List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116)	use the term ‘probability’ to describe the numerical value that represents the likelihood of an outcome of a chance experiment {Literacy}
	recognise that outcomes are described as ‘equally likely’ when any one outcome has the same chance of occurring as any other outcome {Literacy}
	list all outcomes in chance experiments where each outcome is equally likely to occur
	represent probabilities of outcomes of chance experiments using fractions, eg for one throw of a standard six-sided die or for one spin of an eight-sector spinner
	– determine the likelihood of winning simple games by considering the number of possible outcomes, eg in a ‘rock-paper-scissors’ game {Problem Solving, Reasoning, Information and communication technology capability, Critical and creative thinking}

Recognise that probabilities range from 0 to 1 (ACMSP117)	establish that the sum of the probabilities of the outcomes of any chance experiment is equal to 1
	order commonly used chance words on an interval from zero (‘impossible’) to one (‘certain’), eg ‘equally likely’ would be placed at 1/2 (or 0.5) {Literacy}
	– describe events that are impossible and events that are certain {Communicating, Literacy, Critical and creative thinking}
	– describe the likelihood of a variety of events as being more or less than a half (or 0.5) and order the events on an interval {Communicating}