Teaching with Two-Colour Counters
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Introduction

Course Introduction
Mathematical Modelling

Hotel Doors Problem
Hotel Doors - Solution up to 12th door
Hotel Doors - Generalising to n doors
Task - Hotel Doors
Task - Hotel Doors - Solutions
Sequences

Linear nth Term
Quadratic nth Term
nth term rule for a triangular number
Task - Sequences
Task - Sequences - Solutions
Directed Number

Zero Pairs
Addition with directed number
Additions - Moving from the counters
Subtraction with directed number
Task - Directed Number
Task - Directed Number - Solutions
Visual Proofs

Fibonacci - 1st + 5th = 3(3rd)
Sum of odd integers 1 to n is a square
Consecutive triangular numbers sums to a square
Probability

Venn Diagrams
Replace or not replace
Simpson's Paradox
Average and Range

The concept of the mean
Fixing towers - mean 4, mode 3
Fixing towers - mean 3, range 4
Fixing towers - mean 3, range 4, median 3
A Final Investigation

Frogs and Toads
Task - Frogs and Toads
Task - Frogs and Toads - Solutions
Course Summary

Task - Frogs and Toads

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