{"heading":null,"id":24010460,"theme":{"name":"none","colors":{"background":"#f2f3f5","button":"#165375","buttonText":"#ffffff","heading":"#333333","text":"#5e6971"},"background":{"blend":"multiply","blur":0,"contrast":75,"grayscale":100,"opacity":38,"url":null}},"button":{"text":null,"url":null},"collectionLayout":"collection-layout-columns-left","contentAlignment":"content-alignment-left","header":{"title":"Contents","text":null,"button":{"text":null,"url":null}},"mediaStyle":"media-style-plain","preLaunch":false,"products":null,"sections":[{"id":420066,"default":true,"name":"Contents","description":null,"blocks":[]},{"id":516737,"default":false,"name":"Introduction","description":"

Two-Colour counters are an incredibly versatile manipulative, which is great as they are also one of the cheapest! In this course you will learn how to start getting the most out of this powerful manipulative, with tried and tested ‘low floor, high ceiling’ activities to use in the classroom, covering topics such as number, algebra, proof and probability.

","blocks":[{"id":1496051,"icon":"video","title":"Course Introduction","length":"2 mins","filesize":"21.8 MB","preview":true,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516737-introduction/1496051-course-introduction"}}]},{"id":516738,"default":false,"name":"Mathematical Modelling","description":"

This section of the course looks at how Two-Colour counters can be used to model a mathematical situation

","blocks":[{"id":1496077,"icon":"video","title":"Hotel Doors Problem","length":"4 mins","filesize":"59.6 MB","preview":true,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516738-mathematical-modelling/1496077-hotel-doors-problem"}},{"id":1496068,"icon":"video","title":"Hotel Doors - Solution up to 12th door","length":"3 mins","filesize":"41.9 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516738-mathematical-modelling/1496068-hotel-doors-solution-up-to-12th-door"}},{"id":1496069,"icon":"video","title":"Hotel Doors - Generalising to n doors","length":"5 mins","filesize":"80.6 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516738-mathematical-modelling/1496069-hotel-doors-generalising-to-n-doors"}},{"id":1496070,"icon":"file-default","title":"Task - Hotel Doors","length":null,"filesize":"112 KB","preview":true,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516738-mathematical-modelling/1496070-task-hotel-doors"}},{"id":1496072,"icon":"file-default","title":"Task - Hotel Doors - Solutions","length":null,"filesize":"181 KB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516738-mathematical-modelling/1496072-task-hotel-doors-solutions"}}]},{"id":516739,"default":false,"name":"Sequences","description":"

This section of the course looks at how Two-Colour counters can be used to model sequences.

","blocks":[{"id":1496099,"icon":"video","title":"Linear nth Term","length":"3 mins","filesize":"52.4 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516739-sequences/1496099-linear-nth-term"}},{"id":1496100,"icon":"video","title":"Quadratic nth Term","length":"5 mins","filesize":"83.6 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516739-sequences/1496100-quadratic-nth-term"}},{"id":1496096,"icon":"video","title":"nth term rule for a triangular number","length":"3 mins","filesize":"52.9 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516739-sequences/1496096-nth-term-rule-for-a-triangular-number"}},{"id":1496097,"icon":"file-default","title":"Task - Sequences","length":null,"filesize":"145 KB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516739-sequences/1496097-task-sequences"}},{"id":1496098,"icon":"file-default","title":"Task - Sequences - Solutions","length":null,"filesize":"189 KB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516739-sequences/1496098-task-sequences-solutions"}}]},{"id":516740,"default":false,"name":"Directed Number","description":"

This section of the course looks at how Two-Colour counters can be used to model calculations involving directed number.

","blocks":[{"id":1496125,"icon":"video","title":"Zero Pairs","length":"2 mins","filesize":"37.4 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516740-directed-number/1496125-zero-pairs"}},{"id":1496130,"icon":"video","title":"Addition with directed number","length":"3 mins","filesize":"50 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516740-directed-number/1496130-addition-with-directed-number"}},{"id":1496122,"icon":"video","title":"Additions - Moving from the counters","length":"3 mins","filesize":"50 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516740-directed-number/1496122-additions-moving-from-the-counters"}},{"id":1496136,"icon":"video","title":"Subtraction with directed number","length":"5 mins","filesize":"78 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516740-directed-number/1496136-subtraction-with-directed-number"}},{"id":1496127,"icon":"file-default","title":"Task - Directed Number","length":null,"filesize":"819 KB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516740-directed-number/1496127-task-directed-number"}},{"id":1496129,"icon":"file-default","title":"Task - Directed Number - Solutions","length":null,"filesize":"829 KB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516740-directed-number/1496129-task-directed-number-solutions"}}]},{"id":516741,"default":false,"name":"Visual Proofs","description":"

This section of the course looks at how Two-Colour counters can be used to demonstrate visual proofs of mathematical statements.

","blocks":[{"id":1496195,"icon":"video","title":"Fibonacci - 1st + 5th = 3(3rd)","length":"5 mins","filesize":"85.4 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516741-visual-proofs/1496195-fibonacci-1st-5th-3-3rd"}},{"id":1496194,"icon":"video","title":"Sum of odd integers 1 to n is a square","length":"3 mins","filesize":"43.7 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516741-visual-proofs/1496194-sum-of-odd-integers-1-to-n-is-a-square"}},{"id":1496193,"icon":"video","title":"Consecutive triangular numbers sums to a square","length":"2 mins","filesize":"26.9 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516741-visual-proofs/1496193-consecutive-triangular-numbers-sums-to-a-square"}}]},{"id":516742,"default":false,"name":"Probability","description":"

This section of the course looks at how Two-Colour counters can be used to model problems involving probability.

","blocks":[{"id":1496214,"icon":"video","title":"Venn Diagrams","length":"5 mins","filesize":"89.9 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516742-probability/1496214-venn-diagrams"}},{"id":1496213,"icon":"video","title":"Replace or not replace","length":"5 mins","filesize":"90.1 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516742-probability/1496213-replace-or-not-replace"}},{"id":1496205,"icon":"video","title":"Simpson's Paradox","length":"3 mins","filesize":"39.5 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516742-probability/1496205-simpson-s-paradox"}}]},{"id":516743,"default":false,"name":"Average and Range","description":"

This section of the course looks at how Two-Colour counters can be used to model problems involving averages and range.

","blocks":[{"id":1496231,"icon":"video","title":"The concept of the mean","length":"2 mins","filesize":"35.3 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516743-average-and-range/1496231-the-concept-of-the-mean"}},{"id":1496227,"icon":"video","title":"Fixing towers - mean 4, mode 3","length":"2 mins","filesize":"25.5 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516743-average-and-range/1496227-fixing-towers-mean-4-mode-3"}},{"id":1496228,"icon":"video","title":"Fixing towers - mean 3, range 4","length":"2 mins","filesize":"27.8 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516743-average-and-range/1496228-fixing-towers-mean-3-range-4"}},{"id":1496233,"icon":"video","title":"Fixing towers - mean 3, range 4, median 3","length":"3 mins","filesize":"56.3 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516743-average-and-range/1496233-fixing-towers-mean-3-range-4-median-3"}}]},{"id":516745,"default":false,"name":"A Final Investigation","description":"

This section of the course looks at how Two-Colour counters can be used to model situations.

","blocks":[{"id":1496257,"icon":"video","title":"Frogs and Toads","length":"4 mins","filesize":"65.4 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516745-a-final-investigation/1496257-frogs-and-toads"}},{"id":1496254,"icon":"file-default","title":"Task - Frogs and Toads","length":null,"filesize":"113 KB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516745-a-final-investigation/1496254-task-frogs-and-toads"}},{"id":1496255,"icon":"file-default","title":"Task - Frogs and Toads - Solutions","length":null,"filesize":"125 KB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516745-a-final-investigation/1496255-task-frogs-and-toads-solutions"}},{"id":1496256,"icon":"video","title":"Course Summary","length":"1 min","filesize":"9.44 MB","preview":false,"download":false,"buttonText":{"preview":"Preview","view":"View"},"urls":{"visit":"/view/courses/teaching-with-two-colour-counters/516745-a-final-investigation/1496256-course-summary"}}]}],"toggles":{"itemIcons":true,"itemDetails":true,"sectionDescriptions":true,"sectionToggles":false,"open":false}}