Task - Frogs and Toads

Task - Frogs and Toads

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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 Summary2