Login
Complete Mathematics/Teaching with Two-Colour Counters
Buy now

  • £16.67

Teaching with Two-Colour Counters


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 and versatile manipulative, with tried and tested ‘low floor, high ceiling’ activities to use in the classroom, covering topics such as number, algebra, proof and probability.
Buy now

Contents

Introduction

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.
Course Introduction
Preview

Mathematical Modelling

This section of the course looks at how Two-Colour counters can be used to model a mathematical situation
Hotel Doors Problem
Preview
Hotel Doors - Solution up to 12th door
Hotel Doors - Generalising to n doors
Task - Hotel Doors
Preview
Task - Hotel Doors - Solutions

Sequences

This section of the course looks at how Two-Colour counters can be used to model sequences.
Linear nth Term
Quadratic nth Term
nth term rule for a triangular number
Task - Sequences
Task - Sequences - Solutions

Directed Number

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

This section of the course looks at how Two-Colour counters can be used to demonstrate visual proofs of mathematical statements.
Fibonacci - 1st + 5th = 3(3rd)
Sum of odd integers 1 to n is a square
Consecutive triangular numbers sums to a square

Probability

This section of the course looks at how Two-Colour counters can be used to model problems involving probability.
Venn Diagrams
Replace or not replace
Simpson's Paradox

Average and Range

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

This section of the course looks at how Two-Colour counters can be used to model situations.
Frogs and Toads
Task - Frogs and Toads
Task - Frogs and Toads - Solutions
Course Summary

Complete Mathematics

Provider of
Complete Mathematics CLASSROOM
Complete Mathematics TUTOR
Complete Mathematics CPD
Serving over 20000 schools worldwide.
XFacebookYoutubeWebsite