To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Flower Age 16 to 18 Challenge Level: When does it cycle and when does it go on indefinitely? Round a Hexagon Age 7 to 11 Challenge Level: The sine of an angle is equal to the cosine of its complement. How many right angles can you make using two sticks? What shapes should Elly cut out to make a witch’s hat?
What is the distance between the centres of the circles? These problems are ideal for primary school children to work on with others. Witch’s Hat Age 11 to 16 Challenge Level: What is the size of angle VWY? Students can discover angle relationships. Anna, Ben and Charlie have been estimating 30 seconds.
Weekly Problem 29 – An equilateral triangle is drawn inside a rhombus, both with equal side lengths. What if the triangle is on qngles surface of a sphere? Geometry problems for primary learners to work on with others.
The Cyclic Quadrilateral Age 11 to 16 This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site. Weekly Problem 18 – The diagram shows a regular pentagon. In so doing, I hope I have gone part-way to convincing colleagues that such tasks are accessible at a range of levels and, therefore, problm for mixed ability working. At what time, to the nearest second, does this happen?
Maths Search :
Right Time At the time of writing the hour and minute hands of my clock are at right angles. Register for our mailing list. The teacher was aware of this but felt she hadn’t the resources or the authority to do something different. It means that routine exercises become worthwhile learning experiences in themselves, with links to other topics and an expectation that pupils will engage with proof forever in the fore.
Angles and Polygons
What kinds of triangles do these points form? Find the sum of all of the angles denoted by letters in this diagram.
How many guesses do you need to find the robber? Link Puzzle Age 7 to 16 Challenge Level: Given four of the angles in two triangles, can you find the smallest angle overall? Round a Hexagon Age 7 to 11 Challenge Level: How often in a 24 hour day will the second hand be parallel to either of solvinh two other hands?
What is the area of the square? Draw a rectangle and choose a point inside. Weekly Problem 17 – The diagram shows qngles equilateral triangle touching two straight lines. Suggestions for worthwhile mathematical activity on the subject of angle measurement for all pupils.
Find the exact values of some trig. Weekly Problem 46 – The diagram shows two parallel lines and two angles. Cylinder Cutting Age 7 to 11 Challenge Level: How large is this acute angle? How much of the field can the animals graze?
To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Witch’s Hat Age 11 to 16 Challenge Level: How many octahedra can you fit around this point?
Drawing one requires a pupil to use a pair of compasses and construct one. Age 7 to 11 Challenge Level: Well, initially, pupils could be invited to draw, by joining points on the six-point circle, different triangles and then solvign to measure their angles.
Angle Please :
A triangle is shaded within a regular hexagon. Isometric Drawing Age 11 to 14 Challenge Level: The graph below is an oblique coordinate system based on 60 degree angles.
Getting an Angle How can you make an angle of 60 degrees by folding a sheet of paper twice?