A lesson introducing The Bridges of Konigsberg problem.

On MathsLinks: https://mathslinks.net/links/the-bridges-of-konigsberg

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In this lesson, students will experiment with different ways of creating a path between two points with algorithm design and generalizing patterns. From the patterns, they will be able to generate an algorithm for efficiently traveling through cities in a region.

On MathsLinks: https://mathslinks.net/links/finding-the-shortest-path

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Change the values on the spreadsheet (and delete as needed) to create a dot plot of the data. (up to 30 values)

On MathsLinks: https://mathslinks.net/links/dot-plot-maker

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Investigating the common error (*a* + *b*)^{2} = *a*^{2} + *b*^{2}.

Looks at modulo arithmetic and the binomial theorem.

On MathsLinks: https://mathslinks.net/links/the-freshmans-dream-a-classic-mistake

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How mathematics and probability cracked the puzzle of how many tanks were being produced by Nazi Germany during World War 2.

On MathsLinks: https://mathslinks.net/links/the-clever-way-to-count-tanks

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Instruction sheets that could be provided to students for calculating

- mean
- median
- quartiles
- standard deviation
- correlation coefficient
- line of best fit

on a Casio fx8200 AU.

On MathsFaculty: https://mathslinks.net/faculty/calculator-steps-for-statistics-on-a-casio-fx8200-AU

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Instruction sheets that could be provided to students for calculating

- mean
- median
- quartiles
- standard deviation
- correlation coefficient
- line of best fit

on a Casio fx-82 AU Plus II.

On MathsFaculty: https://mathslinks.net/faculty/calculator-steps-for-statistics-on-a-casio-fx-82-AU-plus-ii

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A brief history of some of the earliest mathematicians who investigated approximations for pi.

On MathsLinks: https://mathslinks.net/links/history-of-pi

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Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions. Students can select values to use within the function to explore the resulting changes in the graph.

On MathsLinks: https://mathslinks.net/links/trigonometric-graphing

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A revision book for NSW Mathematics Advanced and Extension 1.

Two versions - one with formulas that are on the Reference sheet highlighted, the other without.

On MathsFaculty: https://mathslinks.net/faculty/advanced-extension-1-formula-book

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Play to Hex board game online, vs other players or vs an AI

On MathsLinks: https://mathslinks.net/links/playhex

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Matt looks at an art installation taking 1200 years to complete, finding a common maths error - the *fence post problem*.

On MathsLinks: https://mathslinks.net/links/the-1200-year-maths-mistake

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Five pages of original questions designed to lead students to an understanding of many things:

- statements (true/false)
- quantifiers (for all, there exists)
- and, or, not
- implications
- inverse, converse, contrapositive
- truth tables

On MathsFaculty: https://mathslinks.net/faculty/extension-2-proof-statements-the-nature-of-proof

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Matt investigates why all 3D shapes lie in the Polyhedron Plane.

Includes discussion about three-dimensional shapes and networks (graph theory).

On MathsLinks: https://mathslinks.net/links/why-do-all-shapes-lie-in-the-polyhedron-plane

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An article discussing misrepresentation in graphs, in particular Pie graphs.

On MathsLinks: https://mathslinks.net/links/hereas-why-you-should-almost-never-use-a-pie-chart-for-your-data

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An interactive showing equivalent fractions.

On MathsLinks: https://mathslinks.net/links/equivalent-fractions

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An interactive to show various representations of a percentage.

On MathsLinks: https://mathslinks.net/links/understanding-a-percent

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Jade explains how a simple principle solves seemingly impossible math problems.

On MathsLinks: https://mathslinks.net/links/the-pigeonhole-principle

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Visualize the mean of a data set as a balance point in this activity.

On MathsLinks: https://mathslinks.net/links/visualizing-the-mean-of-a-data-set

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An interactive for investigation the median, mean and variability.

On MathsLinks: https://mathslinks.net/links/center-and-variability

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