Churchill Maths Activities

This is a series of ten activities from Churchill Maths. Each resource has student handouts, teachers' notes and answers.

Adding Outwards - an investigation starting with addition of integers then using algebra to explain findings.

Circles in a Triangle - an investigation of circles and spheres about area and volume requiring the use of surds, series, Pythagoras' Theorem and algebraic proof.

Difference Patterns - a number investigation based upon subtraction of integers to encourage students to find systematic ways of recording their findings.

Fraction Code - the four rules applied to fractions and mixed numbers.

Number Spirals - an investigation leading to various quadratic sequences of integers then finding the nth term.

Number Type Cards - an investigation to find different types of numbers including odd, even, prime, factors and multiples.

Pie Chart Puzzles - five puzzles relating to given pie charts or information about pie chars. The last two puzzles are solved by writing and solving equations.

Stack 'Em Up - plans and elevations. A sorting activity.

Triangles in a Spiral - an investigation involving a sequence of similar triangles. The first part requires angles at a point. The second part is more challenging as it requires surds, series and indices.

Which Operation- a structured number investigation starting with some simple problems involving the four rules then leading to more challenging questions.

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Adding Outwards

This activity is based upon addition and subtraction of integers, requiring students to find patterns and relationships, develop formulae and prove results.

The resource consists of printable worksheets, teachers' notes and solutions.

The activity can be extended by the use of algebra to explain...

Circles in a Triangle

In this activity, students are presented with a series of different sized equilateral triangles each containing a number of circles, each of radius one unit. Students are required to find the exact area of each triangle.

The activity is extended into three dimensions by considering the volume of shapes...

Difference Patterns

This activity requires students to generate patterns created by the subtraction of integers. Students are asked to record their findings and to explore whether they are able to work backwards.

The resource includes a hand out and a blank grid which can be duplicated for student use. The teachers' notes...

Fraction Code

This activity requires students to be able to add, subtract, multiply and divide fractions. Each letter of the alphabet is represented by a fraction. Students perform calculations, the answers to which are converted into code words. Questions are in three groups: addition and subtraction of fractions,...

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