Dice, spinners, number lines and other manipulatives built for a projector, sized for the back row and usable with no setup.

• Dice

  Roll up to six dice with 6, 10, 12 or 20 sides. Pips up to six because they are quicker to read than a numeral, numerals above that because nobody can count twenty pips.

• Spinner

  A fair spinner for probability work. The pointer turns rather than the wheel, so the numbers stay the right way up and a class can read them out.

• Number line

  Pick a start and an end and the jump between them is drawn as an arc with the calculation written underneath. Any range, any step.

• Fraction bars

  Two bars the same length, each cut into equal parts. Shade some of each and the comparison stops being a guess — 2/3 and 3/4 are hard to order as numbers and obvious end to end.

• Base-ten blocks

  A number built from flats, rods and units, drawn to scale with each other. A hundred is visibly a hundred: a ten-by-ten square you can count the edge of.

• Hundred chart

  One to a hundred, with skip counting laid over the top. Counting by fives makes two columns, by tens makes one, by nines makes a diagonal — and the diagonal is the lesson.

• Clock

  An analogue clock with a digital readout and the time in words. The hour hand moves with the minutes, the way a real clock does, so twenty to four does not show the hour hand parked on three.

• Geoboard

  Tap pegs to build a shape, then read its area and perimeter. The area is exact; where the sides run diagonally the perimeter is not, and the tool says so rather than rounding quietly.

• Timer

  A big quiet timer for the front of a room. No sound, because a timer that beeps startles the child who is still working instead of telling them anything.

• Name picker

  Picks a name at random and will not pick it again until the whole class has had a turn. The names stay in the tab and are never saved anywhere.

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