Powers, using a base of 2 Material Description: Box for Powers with a base of two: cubes and prisms coloured yellow, white, green (small 1cm cubes for the follow up work) blank tickets pencil, paper prepared tickets for follow-up work Method: Making powers Take a unit, ‘Here we have a unit, it is all …

## Squares and Cubes of Numbers

Introductory Activities These activities introduce working with the squares and cubes of numbers at Elementary. Material Description: Felt mat, short chains Method: Game 1 – shapes Form chains with each short chains, beginning with the chain of three, after forming each shape ask the child to identify each shape, displaying them …

## Introduction to Arithmetics

Montessori believed that Humans have Mathematical Minds (from Pascal) and that Human Minds engage in Mathematical Activities almost as an instinctual drive, as a characteristic of our species which gives us a predisposition towards mathematical thought knowledge and progress comes from accurate observation…the warp into which all of the riches of perception and imagination is …

## The Story of Number – The Fifth Great Story

Setting the Scene Briefly, recall the story of Communication, emphasising how the alphabet came to be written down so that people could talk to each other even when they weren’t actually there. The Story ‘Today we have another story, the Story of Number. It’s a story from a long, long time ago. We don’t know …

## Wooden Hierarchical Material

Material Description: Number Dimensions Forms Colours Coloured Lines 1 (1/2cm3) cube green none 10 (1/2cm2 x5cm) prism blue green 100 (5cm2 x ½cm) prism red blue 1,000 (5cm2) cube green red 10,000 (5cm2 x 50cm) prism blue green 100,000 (50cm2 x 5cm) prism red blue 1,000,000 (50cm3) cube green red golden bead unit, …

## Long Multiplication

Chequer Board Material Description: A board made up of 36 squares. The squares are colour-coded to correspond to the categories of the decimal system, green for units, blue for tens, red for hundreds. On the base there is notation in black, right to left for the categories 1 to 100,000,000. Up the right side there …

## Long Division

Racks and Tubes Material Description: Test tubes from units to millions in 7 colour-coded stands Box with green, blue, red skittles 3 division boards Squared/graph paper for recording Pencil Notes: The quotient is always what the unit gets, this is given in the Casa in the group games. The first few examples with the …

## Laws of Multiplication

We begin with a single digit and then work into using more categories, when the children are familiar give laws. The first part to the Passage to abstraction is putting in the signs, the second part involves expanding with the cards and the third using mental arithmetic, without the geometric presentation of the operation …

## Multiples and Factors

In this chapter we begin with presenting the concept of multiples with the beads, then common multiples with beads and working with common multiples on paper, to extend the knowledge of factors up to one hundred. The pegs and board are used to find the lowest common multiples and on paper the children use Charts, …

## Exponential notation

Powers, with a base of 2 Material Description: Box for Powers of two: cubes and prisms coloured yellow, white, green (small 1cm cubes for the follow up work) blank tickets pencil, paper prepared tickets for follow-up work Method: Making powers Take a unit, ‘Here we have a unit, it is all on …