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Number and algebra

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A-level: Pure mathematics

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Starters and plenaries

The following activities are all typically short - lasting no more than ten or fifteen minutes - and should require little explanation, as they are aimed to either introduce or consolidate a topic.

Number and algebra

Level 3

Basic multiplication Tarsia

A 24-piece hexagonal Tarsia, covering multiplication of integers from 2 to 12. By S Atkins (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 3

Equivalent fractions Tarsia

A 24-piece hexagonal Tarsia, identifying equivalent fractions. By A Greenwood (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 3

Positive and negative numbers arithmetic Tarsia

A 24-piece hexagonal Tarsia, covering basic arithmetic for small positive and negative integers. By M Ladak (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 4

BIDMAS Tarsia

A 16-piece triangular Tarsia, on the correct order of operations, including some very simple indices. By M Ladak (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 4

Rounding to powers of ten Tarsia

A 24-piece hexagonal Tarsia, rounding integers to powers of ten. By S Gilligan (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Collecting like terms Tarsia

A 12-piece rectangular Tarsia, collecting like terms in expressions involving a single linear variable and a constant term. By Lilybee (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Converting improper fractions Tarsia

A 24-piece hexagonal Tarsia, covering conversion between improper and mixed fractions. By A Greenwood (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Indices arithmetic Tarsia

A 24-piece hexagonal Tarsia covering multiplication and division of indices. Mostly the same base, with some simple examples involving two variables. From Mr Barton Maths.

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Multiplying and dividing decimals Tarsia

A 24-piece hexagonal Tarsia, multiplying and dividing decimal numbers by whole numbers and other decimal numbers - up to two decimal places. By C Webb (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Multiplying decimals Tarsia

A 24-piece hexagonal Tarsia, multiplying decimal numbers by other decimal numbers - up to two decimal places. By O Kodilinye (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Place values Tarsia

A 24-piece hexagonal Tarsia, consolidating understanding of place values, through multiplying and dividing numbers by powers of ten. By A Greenwood (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Rounding Tarsia

A 24-piece hexagonal Tarsia, rounding numbers, to an amount of either decimal places or significant figures. By J Grainger (Mathed Up!).

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Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 6

Continuing sequences Tarsia

A 16-piece square Tarsia, identifying the pattern in a sequence and continuing it. By J Hitchcock (Mathed Up!).

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Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 6

Fraction, decimal and percentage conversions Tarsia

A 24-piece hexagonal Tarsia, covering conversion between fractions, decimals and percentages. By C Webb (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 6

Ratio Tarsia

A 24-piece hexagonal Tarsia, covering the entire ratio topic: equivalent ratios, sharing in a given ratio and map ratios. This Tarsia also offers some consolidation of unit conversions, both metric and imperial. By H Spedding (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 6

Simple finding the rule for a sequence Tarsia

An 18-piece rhomboid Tarsia, finding the rule for the nth term of linear sequences. By A Greenwood (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 6

Simple linear equations Tarsia

A 16-piece triangular Tarsia, solving simple linear equations. By J Hitchcock and R Hare (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 7

Expanding single brackets Tarsia

An 18-piece triangular Tarsia, expanding single brackets, with both constant and variable factors. By J Grainger and year 8 students James, Jess, Cathy and George (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 7

Finding the rule for a sequence Tarsia

A 16-piece square Tarsia, finding the rule for the nth term of a sequence - including some reasonably challenging quadratic sequences. By S Atkins (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 7

Solving linear inequalities Tarsia

An 18-piece triangular Tarsia, solving linear equalities. By S Atkins (Mathed Up!).

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Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Shape, space and measures

Level 4

Perimeter Tarsia

A 16-piece triangular Tarsia, covering perimeter calculations. It requires a knowledge of the number of sides of some low-order polygons. From Mathed Up!.

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Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Complements to 180° Tarsia

A 16-piece square Tarsia finding numbers that sum to a total of 180. By year 8 students Ashley, Sarah, Nick, Lewis and Theo (Mathed Up!).

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Editable Tarsia file for this activity (requires Formulator Tarsia to use)

Level 5

Complements to 360° Tarsia

A 24-piece hexagonal Tarsia finding numbers that sum to a total of 360. From Mr Barton Maths.

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Editable Tarsia file for this activity (requires Formulator Tarsia to use)

A-level: Pure mathematics

Core 1

Basic differentiation Tarsia

An 18-piece rhomboid Tarsia, covering differentiation of simple polynomials with one or two terms. By A Freestone (Mathed Up!).

See information and help for Tarsia.

Editable Tarsia file for this activity (requires Formulator Tarsia to use)