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This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of circle measurement, plus two other related resources.

Circle measurement pack one contains nine work cards with a wide variety of activities covering...

This task is designed to assess how well students understand

The initial problems shows a black circle with radius 2r, inside of who two smaller circles of radius r are drawn. Students must show that the fraction of the diagram that is black is equal to a half.

The initial problem is altered with four...

Act 1

A square and circle are shown. Initially the square...

This resource contains six activities for use in the classroom when exploring the properties of circles.

The Circle: Contains a variety of questions requiring students to calculate the circumference and the area of circles. Given values for the diameter or radius of the circle. The second...

These 15 instant maths ideas, ideal for use as starter questions, extension question or probing questions to assess understanding, require students to perform a practical experiment in order to estimate a value for pi, describe a circle over the phone, find a connection between the length of the radius of a circle...

This excel program contains a series of interactive spreadsheets related to the equation of the circle. The first sheets enable the student to alter the radius and centre of the circles centred at the origin and elsewhere. The program allows the student to view the...

This task is designed to assess how well students understand ratio and areas.

A diagram is shows a circle with one square inside and one square outside, both just touching the circle. The first task is to work out the ratio of the areas of the two squares.

A circle is then inscribed inside of the...

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...

Produced by the Maths Magic project, Circles with Whole Number Points provides teacher inspiration for investigating equations of a circle and Pythagoras’ theorem. The student task sheet refers to the use of Geogebra. The task consists of drawing circle, centre (0,0), radius 5 and finding all the points with...

This sub-collection of materials from the dy/dan collection contains three resources that bring mathematical storytelling to the classroom in the context of ‘circumference of a circle’. Resources comprise:

  • Act One: a video or photograph to provide a ‘hook’ to the problem

  • Act Two:...

In this resource from the DfE Standards Unit, students learn to name and classify polygons according to their properties, develop mathematical language to describe the similarities and differences between shapes and develop convincing explanations as to why combinations of particular properties are impossible. (...

This resource develops the concept of exploring the relationship between the slopes of parallel and perpendicular lines. There is a particular focus on finding lines that are parallel and perpendicular by using their equations. The work extends into identifying and using intercepts.

Students are presented...

This lesson develops the concept of distinguishing between rational and irrational numbers. In particular, students will enhance their ability in:

  • Classifying numbers as rational or irrational.
  • Moving between different representations of rational and irrational numbers.

 An...

The first activity in this resource asks students to consider x = 5 and answer the question ‘what value is y’? An initial discussion builds up understanding of graphical representations of linear equations.

This lesson develops solving pairs of linear equations by considering their graphical representations...

These Cre8ate maths activities require the use of averages, ranges, percentages, histograms, stem and leaf displays, pie charts, and tables to make comparisons, interpretations, and conclusions. They also provide real data about pupils for analysis. Performing the “How far can you …?” events in the classroom will...

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