Introduction
What are the Chances?
What are the chances that the bus will be exactly on time?
What are the chances you have a vegemite sandwich for lunch today?
What are the chances of a bird flying into the classroom and landing on your desk?
What are the chances of being you being in the Olympics one day?
MMMMmmmm interesting. This unit of work will look at predicting the probability of events and whether we can influence the events probability.
Process
[video:https://www.teachingchannel.org/videos/teaching-probability-odds autoplay:1]
Evaluation
[video:https://www.teachingchannel.org/videos/teaching-probability-odds align:left autoplay:1]
Credits
References
Australian Curriculum, Assessment and Reporting Authority, viewed online
http://www.australiancurriculum.edu.au/
http://www.australiancurriculum.edu.au/mathematics/curriculum/f-10?layout=1#level7
Mrs Glossers Maths Goodies, viewed online
Worksheet 1
http://www.mathgoodies.com/worksheets/pdf/unit6_wks1.pdf
Worksheet 2
http://www.mathgoodies.com/worksheets/pdf/unit6_wks2.pdf
Worksheet 3
http://www.mathgoodies.com/worksheets/pdf/unit6_wks3.pdf
IXL Interactive math. Viewed online
http://au.ixl.com/math/year-7/make-predictions
http://au.ixl.com/math/year-7/compare-percents-to-fractions-and-decimals
http://au.ixl.com/math/year-7/convert-between-percents-fractions-and-decimals
Probability: Can you beat the odds? Teaching Channel, viewed online.
https://www.teachingchannel.org/videos/teaching-probability-odds
Teacher Page
Year 7 content descriptions - Australian curriculum
Year 7 Content Descriptions - Australian Curriculum Strands
Statistics and Probability
Chance
Construct sample spaces for single-step experiments with equally likely outcomes (ACMSP167)
Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP168)
Number and Algebra
Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155)
Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157
Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. (ACMNA158)
Recognise and solve problems involving simple ratios (ACMNA173)
Data representation and interpretation
Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP171)
Describe and interpret data displays using median, mean and range (ACMSP172)
Understanding - recognising equivalences between fractions, decimals, percentages and ratios.
Fluency – includes representing fractions and decimals in various ways.
Problem Solving - includes formulating and solving authentic problems and interpreting sets of data collected through chance experiments
Reasoning - includes applying an understanding of ratio and interpreting data displays.
Student Prior Knowledge:
Students connect fractions, decimals and percentages as different representations of the same number.
Students list and communicate probabilities using simple fractions, decimals and percentages.
Students understand likely and unlikely events. Students understand independent events and dependent events.
Not all students will have the same background knowledge depending on their cultural and world beliefs in context to the content.
Year 7 Acheivement Standard
They describe the relationship between the median and mean in data displays.
Students use fractions, decimals and percentages, and their equivalences. They express one quantity as a fraction or percentage of another.
Students determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes.