Measurement, Chance and Data

The Measurement, chance and data dimension focuses on developing students’ understanding of unit, measure and error, chance and likelihood and inference. Measure is based on the notion of unit (//informal//, formal and //standard//) and relates number and natural language to measuring characteristics or attributes of objects and/or events. Various technologies are used to measure, and all measurement involves error.
Students learn important common measures relating to money, length, mass, time and temperature, and probability – the measure of the chance or likelihood of an event. Other measures include area, volume and capacity, weight, angle, and derived rates such as density, concentration and speed.
Principal operations for computation with measurement include the use of formulas for evaluating measures, the use of technology such as dataloggers for direct and indirect measurement and related technologies for the subsequent analysis of data, and estimation of measures using comparison with prior knowledge and experience, and spatial and numerical manipulations. (Source:DEECD)

Description

File/Link

MCD: Themes and Progression Points 3-6
This document was derived by organising the progression points for this dimension into logical themes. (sometimes using the DEECD overview categories). Themes are in bold and progression points increase left to right. Could assist whole school planning.



=CHANCE=


Poker Machine Simulation 5.0-6.0
This spreadsheet contains a simulated poker machine which students can use to collect data as they play. It also contains details of how the spreadsheet was constructed and a theoretical probability analysis of the workings of the machine. I have attempted to use the E5 model to suggest how teachers might use this investigation. There are also links to relevant websites about the social implications of poker machines.

=DATA=

Scatter Plots 4.0-6.0
Investigate the Hypothesis that there is a correlation between Foot Length and Height. Collect Data, graph use =correl(:) to find correlation coefficient

Scatter Plots 4.0-6.0
Investigate the Hypothesis that good listeners are often not good speakers and vice versa

Box Plots in Excell 5.0-6.0
There is no inbuilt graphing function in excel 2003 to produce boxplots. This sheet explains how it can be done using drawing objects from the drawing toolbar.

Common statistical functions in excell 5.0-6.0
This spreadsheet explains how excell can be used to find and display some common statistical parameters up to about year 10 level.

= MEASUREMENT=


Metric Unit Conversion 5.0-6.0
This spreadsheet converts metric units of length, area and volume. It contains a blank template without the formulas so students can construct their own sheet. Also some links to online unit conversion sites and information about the metric system. E5 lesson outline

Perimeter and Area of rectangles 3.0-5.0
Construct a spreadsheet to calculate perimeter and area. Conduct investgations

Area of a Triangle 4.0-5.0
Students construct animation in PPT to demonstrate area of triangle algorithm. Example provided

Area of Composite Polygonal shapes (no circles) 5.0-6.0
This powerpoint introduces and assessment task which involves students designing and animated powerpoint to show the process. Contains links to online activities related to this concept and an example.


Area of a Triangle 4.0-5.0
Construct a spreadsheet to calculate area of a triangle. Construct diagrams to explain

Area and Circumference of Circle 4.0- 5.5
Construct a spreadsheet to calculate area and perimeter of any circle. Construct diagrams to explain terms

Discovering Circumference and Area of circle 5.0-6.0
This ppt linked to some online resources and contains some animations related to circles

Area and Circumference of a Circle 4.0-5.5
Construct an animated powerpoint. Describing circle terms and relationships. Example here

Design an athletics track 5.0
Investigate the parameters of desiging a 400m athletics track. Real world application of perimeters with circles

What is the best value pizza 5.0
Real world use of area of circle relationship

Aths Track and Pizza Spreadsheet 5.0
example of spreadsheet extension component of the aths track and pizza tasks

Uses of 'Pi" on a spreadsheet 5.0-6.0
This spreadsheet calculate a variety of mensuration formulae using "pi"

Measurement On Line activities 4.0-5.5
Links to online resources primarily perimeter, area, surface area, conversion of units

Pythagoras 5.0 -6.0
Simple spreadsheet to calculate short side and hypotenuse. Also investigate pythagorean triads

Pythagoras on the number line 5.0-6.0
An animated construction of root2, root3 etc on the number line. Students can construct this animation with some knowledge of pythagoras and powerpoint. A starting ppt with just the initial number line is here.


Pythagoras 5.0-6.0 On line activities
Related VELS progression points and links to Maths Continuum "Extending Pythagoras" and other online actvities

Trigonometry and Pythagoras questiion archetypes
This ppt is a template for students to design an example of each type of trig and pythagoras question. Index page hyperlinks to slides. Students use textboxes, equation editor and animation to create example