﻿ Order of Magnitude

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Mental Blocks

The World of Illusion Knitting

for this afghan

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ORDER OF MAGNITUDE

Order of Magnitude is designed to help children with counting and starting to assimilate the concepts of multiplication and area.

Many adults would probably need to study it for some time to work out what is special about the arrangements of squares.

It is one solution to the problem given below.

Order of Magnitude

RELATED DESIGNS

PUZZLE AFGHANS

Key Rings

Place Order

Mere Bagatelle

Code Comfort

Flatland Lock

CONSERVATION OF AREA

Wreck Tangled

Double Shuffle

OTHER

Maths Toys & Puzzles

CONSTRUCTION INFORMATION

The version shown was made in one piece with the stitches for each mitred square being picked up from existing squares.

The pattern includes instructions for:

diagonally-knit garter squares

straight garter squares

stocking stitch squares

crochet squares

Different types of squares require different methods of construction.

CROCHET/KNITTING INFORMATION

Use any yarn, in five colours, and needles of your choice.

The afghan shown was made using mitred squares. The pattern includes instructions for other types of squares.

The photo shows a small afghan, suitable for a child. It can easily be made bigger by increasing the size of the squares.

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larger pictures

THE PROBLEM

Use five rectangles to make a square. The rectangles must have sides of 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10, in any combination.

This afghan can help children to count and begin to understand the concepts of multiplication and area.

THE MATHEMATICS

Each of the first ten counting numbers is shown on the side of one of the rectangles.

Go on to count the number of squares in each rectangle. Children will gradually assimilate that 7 rows of 4 and 4 rows of 7 both give the answer of 28.

Compare the number of squares inside the rectangles to introduce the ideas of ‘bigger than’, ‘longer than’, ‘shorter than’, etc. to introduce the idea of area. Many children think that a long skinny rectangle is ‘bigger’ than a short fat one, even when the area is much smaller.

THE PATTERN

This afghan is in the same pattern booklet as Place Order, which uses similar techniques.

See Puzzle Blocks on the Order Form