### Author: Jon Molomby

## Pythagoras’ Theorem Vol.2

## Indices, Powers or Exponents

Indices : the First 4 Laws (Indices, Powers or Exponents) Introduces students to the first 4 laws of indices with many examples. Indices – Word Problems (Indices, Powers or Exponents) Solving simple word problems by looking for patterns using indices (or exponents or powers)……. Also explains exponential growth, “the second half of the chessboard” , […]

## Probability – Blocks Workshop

In this workshop we will work with blocks to understand probability. PowerPoint Lesson: PROBABILITY Blocks Workshop PROBABILITY Blocks Workshop_Thai Version Download Worksheet (PDF): PROBABILITY Blocks Workshop5 Download Worksheet (Word DOC): PROBABILITY Blocks Workshop5

## Centre of a Triangle

In this lesson we find the centre of a triangle. The Centre of a Triangle (Compass and Straight Edge) PowerPoint Lesson: Compass and Straight Edge – The Centre of a Triangle Compass and Straight Edge – The Centre of a Triangle (Thai version) Download Worksheet (PDF): Compass and Straight Edge -The Centre of a Triangle […]

## The Monty Hall Problem

In this lesson, Teacher Jon examines the famous Monty Hall problem in Probability by using a tree diagram……. Includes some footage of Monty Hall. Video Lesson: Download Worksheet (PDF): PROBABILITY – The Monty Hall Problem for Students

## Pythagoras’ Theorem Vol. 1

In this video we look at Pythagoras Theorem using Geoboards with teacher Jon. Video Lesson: Download Worksheet (PDF): MWG Pythagoras Theorem Wkst_1

## Angles-Introductory Terms

In this video, Teacher Jon introduces the basic terms students need for the study of Angles. Video Lesson: Download Worksheet (PDF): ANGLES-Introductory Terms

## Prime Numbers

In this video, Teacher Jon introduces secondary students to the primes, making use of the sieve of Eratosthenes, and looks at twin primes, the spread of the primes, Euclid’s proof of the infinity of the primes and Mersenne primes. Video Lesson: Download Worksheet (PDF): NUMBER THEORY – Prime Numbers

## Fibonacci Numbers

In this video, Teacher Jon introduces the Fibonacci sequence using the question posed by Fibonacci in 1202, and continues with some applications of these numbers , in architecture, art, design and nature. Video Lesson: Download Worksheet (PDF): NUMBER THEORY – Fibonacci Numbers

## Factors and Multiples – The HCF and the LCM

In this lesson, Teacher Jon explains Factors and Multiples, as well as the Highest Common Factors and Lowest Common Multiples. Video Lesson: Download Worksheet (PDF): NUMBER THEORY- Factors and Multiples.

## Easy Angle Problems

In this lesson, Teacher Jon provides some easy angle problems, for Lower Secondary Maths students, but a basic knowledge of the terms and symbols used in Angles is still required– (for instance, see my video on Angles – Introductory Terms) . Video Lesson: Download Worksheet (PDF): ANGLES – Easy Angles Problems

## The World’s Two Hardest Easy Geometry Problems

In this video, Teacher Jon sets out how to solve these two well known geometry problems using only isosceles, equilateral and congruent triangles. Video Lesson: Download Worksheet (PDF): World’s Two Hardest Easy Geometry Problems(Geometry-Angles)

## Pythagoras Theorem – Algebraic Proofs

In this video, Teacher Jon shows 7 algebraic proofs of Pythagoras Theorem, using a geo-board and a worksheet. Video Lesson: Download Worksheet (PDF): Pythagoras Theorem- Algebraic Proofs_3

## Pythagoras Theorem – Geometric Proofs

In this video, Teacher Jon describes 4 geometric proofs of Pythagoras’ Theorem (including Euclid’s) both on a worksheet, and on a geoboard. Video Lesson: Download Worksheet (PDF): Pythagoras Theorem – Geometric Proofs_3

## How To Teach With Geo-boards

Teacher Jon shows how geoboards are one of the best hands on tools for learning Maths, by demonstrating the range of topics at the Lower Secondary Level that geoboards can be used for, giving over 100 examples based on a standard curriculum. When given live, this talk is always followed a workshop where students are given […]

## How To Make Geo-boards

In this lesson, Teacher Jon explains how learning with geo-boards – in the style of Caleb Gattegno – can be extended into Lower Secondary Maths (Years 7, 8 and 9 )…….. Following a standard curriculum, over 100 examples are given………. This video, which is an overview (which can also be downloaded as a slideshow from […]