 CD of 16 programs especially designed to be used with any Interactive Whiteboard or projector.

The programs provide a variety of teaching opportunities for KS2, KS3 and KS4 classrooms and because they are so flexible, almost all can be used at all these key stages.

Author: Derek Ball One program is a very versatile number grids program that will let you do almost any activity you can think of connected to number grids.

There are programs providing square dot paper, isometric dot paper, geoboards and circular geoboards and carrying out area and angle calculations. There are programs like Glimpses which help your pupils to concentrate and to visualise images.

Other programs focus on specific mathematical topics such as properties of numbers, probability, factors and multiples, area and perimeter and the relationship between fractions and decimals.

Interactive Mathematics contains the following 16 Excel program files:

1. Behind the wall
2. Colour squares
3. Fractions and decimals
4. Geoboards
5. Glimpses
6. Grid sheets
7. HCF and LCM
8. Hit the target
9. Make the average
10. Number facts and factors
11. Number grids
12. Probability bingo
13. Probability race
14. Random numbers
15. Sum and product
16. Triangles

Also on this CD-ROM is a Word file for producing a sheet of Bingo cards, to be used in conjunction with Probability bingo.

Each program contains one or more teaching pages, together with notes providing lesson ideas.

Each of these programs is designed to leave control over the mathematics with teacher and pupils by:
• being interactive and promoting whole-class discussion
• being flexible, so that different activities can be undertaken to suit different ages and abilities of pupils and can be adapted as a result of pupils' response
• promoting understanding and exploration of significant mathematical ideas
• encouraging a problem-solving approach rather than the narrow practice of skills
• encouraging pupils to make connections between difficult mathematical ideas
• encouraging rather than stifling the question “What would happen if?”
• encouraging pupils to make conjectures
• encouraging pupils to explain, reason and prove

Here is a list of the teaching pages available in each of the programs, together with some of the mathematics relating to each screen:

Behind the wall

Behind the wall - Triangles, quadrilaterals, polygons; symmetry; right-angle, regular, equiangular, equilateral

Colour squares

Colour squares - Area and perimeter of rectilinear shapes; patterns from colouring squares (symmetry, number sequences)
• Example 1 - Reflection symmetry
• Example 2 - Rotation symmetry
• Example 3 - ‘Surrounds’ pattern
• Example 4 - ‘Growing from a corner’
• Example 5 - Colouring halves of the area
• Example 6 - Colouring thirds of the area
• Example 7 - Shapes with perimeter 20
• Example 8 - Squares with square holes
• Example 9 - A different ‘surrounds’ pattern
• Example 10 - A ‘snowflake’ pattern

Fractions and decimals

Fractions and decimals - Equivalence of fractions and decimals (simple cases and less simple); equivalent fractions; fraction families; terminating and recurring decimals

Geoboards

Square geoboards (3 by 3, 4 by 4, 5 by 5, 6 by 6) - Counting triangles and other polygons; congruence and similarity; properties of shapes; areas; lengths of line segments

Triangle geoboards (4 row, 5 row, 6 row, 7 row) - Counting equilateral triangles; congruence and similarity; symmetry; quadrilaterals; areas

Circle geoboards (5 pin, 6 pin, 8 pin, 9 pin, 12 pin, 18 pin) - Regular polygons; angles and triangles (leading to circle theorems); similar triangles; quadrilaterals

Glimpses

Glimpses - Twenty dot patterns to identify; counting; patterned numbers; generalising; formulae

Grid sheets

Square dot - Any activity that requires square dot paper (e.g. shapes with given perimeter; shapes with given area; tilted squares)

Triangle dot (horizontal) - Any activity that requires triangle dot paper (e.g. sizes of equilateral triangles; hexagons in a hexagon; equiangular hexagons; tilted equilateral triangles)

Triangle dot (vertical) - Any activity that requires triangle dot paper (e.g. isometric drawings of 3D shapes)

HCF and LCM

HCF and LCM - HCF, LCM, sum and product of two numbers

Hit the target

Hit the target - Making a target number, using a given set of six numbers that can be added, subtracted, multiplied or divided (the Countdown game); can involve formulae and brackets

Make the average

Make the average - Mode, median, mean and range

Number facts and factors

Number facts and factors - Number properties (odd/even, prime, square, cube, triangle); factors, prime factors, number of factors

Number grids

Number grids - Choosing a variety of number grids; choosing grid size; colouring multiples and numbers with other properties (square, etc); sum and range in a shape moved around a number grid; design your own shape; deducing grids from a wide range of clues; ‘Monty’

Monty - The game of ‘Monty’ (as on SLIMWAM2) on a wide range of number grids

Example 1 - Sum and range in a shape moved around a number grid; design your own shape

Example 2 - Deducing hidden numbers on a ‘steps’ grid

Example 3 - Colouring multiples problem on a number grid

Probability bingo

Probability bingo - Bingo with two standard dice, using sum, difference or product

Probability race

Probability race - Visual illustration of variable probability of sum, when two standard dice are thrown

Random numbers

Random numbers - Up to nine random numbers, with ideas about how to use them

Sums and products

Two numbers - Sum and product of two numbers; number properties (odd, square, prime)

Three numbers - Sum and product of three numbers; number properties (odd, square, prime)

Three numbers: What? 1 - Sum, product and set of mystery combination of three numbers; number properties

Three numbers: What? 2 - Sum, product and set of harder mystery combination of three numbers; number properties

Three numbers: What? 3 - Sum, product and mystery combination of three numbers (combining the previous two sets); number properties

Triangles

Triangles by angles - Properties of triangles, where angles are generated at random

Triangles by sides - Properties of triangles, where sides are generated at random

Triangles by perimeter - Properties of triangles, where sides are generated at random, given the perimeter 