Videos uploaded by user “Ian Bailey-Mortimer”

Kinds of data: Categorical (nominal & ordinal) and numerical (discrete & continuous)

Views: 50296
Ian Bailey-Mortimer

Converting between true bearings (e.g. 073°T) and compass bearings (N73°E).
NB - this is not about adjusting for magnetic variation - that's a whole different story!

Views: 19109
Ian Bailey-Mortimer

Calculating positional statistics (median, quartiles, range and inter-quartile range IQR) from a stem-and-leaf plot.
Five number summary.

Views: 8745
Ian Bailey-Mortimer

Converting time measurements between separate hours,minutes,seconds and decimal values

Views: 27654
Ian Bailey-Mortimer

Using frequency tables with grouped data to calculate the mean, mode and median

Views: 45678
Ian Bailey-Mortimer

Calculating the surface area and volume of a composite shape that includes a cylinder

Views: 4663
Ian Bailey-Mortimer

True bearings (e.g. 073°T) and compass bearings (e.g. N73°E).
NB - this is just about the way we write bearings, and what they mean - *not* magnetic variation - that's a whole different story!

Views: 13724
Ian Bailey-Mortimer

Basic relationships between angles around transversals crossing parallel lines

Views: 1883
Ian Bailey-Mortimer

Solving some multi-step problems with Euclidean Geometry

Views: 10916
Ian Bailey-Mortimer

Using the distributive law to factorise (or factorize, if you prefer) algebraic expressions
- factorising as the opposite of expanding
- numeric factors
- algebraic factors
- combinations

Views: 5000
Ian Bailey-Mortimer

Eastings and northings
4-digit and 6-digit grid references
Always use the lower left corner of the square to identify the easting and northing

Views: 47200
Ian Bailey-Mortimer

Introduction to Euclidean Geometry
Basic rules about adjacent angles

Views: 4254
Ian Bailey-Mortimer

Five-number summary and drawing a box-and-whisker plot
Calculating range and interquartile range (measures of spread)

Views: 7665
Ian Bailey-Mortimer

Populations & samples, census vs survey
Open & closed questions
Bias - questionnaire, sampling and interpretation

Views: 48225
Ian Bailey-Mortimer

Use inverse operations to "unwrap" the variable one step at a time
Balance: whatever you do on one side of the equal sign, you also do on the other
Good setting out is vital: work down the page, keep equal signs and equal things underneath each other, leave plenty of empty space
Several examples of solving simple linear equations using the Balance method

Views: 12064
Ian Bailey-Mortimer

Calculating the median by using the formula (n+1)/2 to locate its position in a sorted list of scores.

Views: 10323
Ian Bailey-Mortimer

Using Tree Diagrams to model compound events.
Tree Diagrams are more flexible than Grids, because they can model more than two actions, or actions that are not independent (eg. drawing counters without replacement).

Views: 5962
Ian Bailey-Mortimer

Basic triangle and quadrilateral rules

Views: 3419
Ian Bailey-Mortimer

Theoretical probability as the eventual relative frequency after a large number of trials
Theoretical probability as the relative number of favourable outcomes
Expected frequency

Views: 1149
Ian Bailey-Mortimer

What is numeracy?
"The capacity, confidence and disposition to use mathematics" in everyday life. (From Australian Curriculum: Mathematics http://www.australiancurriculum.edu.au/Mathematics)
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This video has been produced by Ian Bailey-Mortimer for use in CR161 Introduction to Mathematics and Numeracy at Christian Heritage College http://www.chc.edu.au/

Views: 4542
Ian Bailey-Mortimer

Polyhedra, Platonic solids, prisms and pyramids
For more about Euler's formula and why there are only 5 Platonic solids see http://plus.maths.org/content/eulers-polyhedron-formula
Credits:
Many 3D shape graphics used in this video are from http://www.mathsisfun.com/geometry/ - Copyright © 2012 Rod Pierce, MathsIsFun.com. Used with permission.
Animations of the Platonic solids are from Wikipedia http://en.wikipedia.org/wiki/Platonic_solid
Animations of cross-sections were created using Trimble SketchUp http://www.sketchup.com/ and recorded using CamStudio http://camstudio.org/

Views: 6396
Ian Bailey-Mortimer

Adding and subtracting fractions using the standard algorithm (LCD = Lowest Common Denominator)
Video 3 of 4: adding three (or more!) fractions

Views: 2527
Ian Bailey-Mortimer

Using frequency tables to calculate the mean, mode and median

Views: 483
Ian Bailey-Mortimer

A brief introduction to the Australian Curriculum: Mathematics http://www.australiancurriculum.edu.au/Mathematics
Links to other relevant documents:
Melbourne Declaration http://www.mceecdya.edu.au/verve/_resources/National_Declaration_on_the_Educational_Goals_for_Young_Australians.pdf
Shape papers: General http://www.acara.edu.au/verve/_resources/Shape_of_the_Australian_Curriculum.pdf Mathematics http://www.acara.edu.au/verve/_resources/Australian_Curriculum_-_Maths.pdf
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This video has been produced by Ian Bailey-Mortimer for use in CR161 Introduction to Mathematics and Numeracy at Christian Heritage College http://www.chc.edu.au/

Views: 1456
Ian Bailey-Mortimer

Calculating the surface area of simple 3D shapes

Views: 1511
Ian Bailey-Mortimer

Why teach Mathematics?
Uses of mathematics
Conceptions of mathematics and learning
Mathematics as a language
--
This video has been produced by Ian Bailey-Mortimer for use in CR161 Introduction to Mathematics and Numeracy at Christian Heritage College http://www.chc.edu.au/

Views: 199
Ian Bailey-Mortimer

Australian time zones
Daylight saving
Greenwich Mean Time (GMT), UTC and the International Date Line
Solving problems involving flights between different time zones

Views: 2030
Ian Bailey-Mortimer

Relative "units" and the need for agreed absolute referents
The SI metric units for length (metre) and time (second)
Standard SI prefixes
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This video has been produced by Ian Bailey-Mortimer for use in CR161 Introduction to Mathematics and Numeracy at Christian Heritage College http://www.chc.edu.au/ and as a result the scope is limited to what is needed for that course.

Views: 173
Ian Bailey-Mortimer

Adding and subtracting fractions using the standard algorithm (LCD = Lowest Common Denominator)
Video 4 of 4: Adding mixed numbers

Views: 398
Ian Bailey-Mortimer

Calculating the surface area and volume of a composite shape with rectangular pieces

Views: 495
Ian Bailey-Mortimer

Polygons
Classifying polygons: (ir)regular, concave/convex, no. of sides

Views: 100
Ian Bailey-Mortimer

Exam technique for a maths exam, part 2 - During the exam
The night before
When you get the exam
Follow your priorities
When you're done
Of course, what I say here is also applicable to non-maths exams!

Views: 1437
Ian Bailey-Mortimer

How to use a topographic contour map to draw a profile from a non-straight route.
(This video explains part of a Year 12 Maths A assignment about designing a road.)

Views: 101
Ian Bailey-Mortimer

Using ratios to solve total-from-part and part-from-part percentage problems.

Views: 438
Ian Bailey-Mortimer

Drawing the profile from a topographic contour map - part 1 of 2
(This video explains part of a Year 12 Maths A assignment about designing a road.)

Views: 99
Ian Bailey-Mortimer

Tessellating a flat plane with many copies of the same shape(s) repeated in a geometric pattern.
Don't forget to look up M.C. Escher!

Views: 831
Ian Bailey-Mortimer

Using the distributive law to expand algebraic expressions
- Numeric example
- Simple algebraic examples
- Harder examples

Views: 2828
Ian Bailey-Mortimer

Basic concepts for measuring shapes: length, perimeter, area, surface area, volume, capacity

Views: 255
Ian Bailey-Mortimer

Calculating vertical exaggeration for a profile drawn from a topographic contour map.
(This video explains part of a Year 12 Maths A assignment about designing a road.)

Views: 95
Ian Bailey-Mortimer

The standard (universal!) mathematical convention for the order in which operations must be carried out to evaluate an expression, with some simple examples.

Views: 83
Ian Bailey-Mortimer

Drawing and using Venn diagrams to solve problems involving two or three criteria that may not be mutually exclusive

Views: 163
Ian Bailey-Mortimer

Calculating perimeter of shapes with circular parts

Views: 142
Ian Bailey-Mortimer

Converting between different SI units of volume and capacity

Views: 382
Ian Bailey-Mortimer

Using trigonometry to solve mathematical problems involving bearings.

Views: 36934
Ian Bailey-Mortimer

Writing mathematical expressions from word descriptions
Evaluating expressions using the correct order of operations

Views: 1092
Ian Bailey-Mortimer

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