60All NRICH live resourceshttp://nrich.maths.org/en 2012 http://nrich.maths.org/public/terms.phpIrrational RootsYou're used to working with quadratics with integer roots, but what about when the roots are irrational?http://nrich.maths.org/11596Wed, 01 Dec 1999 00:00:01 +0000Nested SurdsCan you find values that make these surd statements true?http://nrich.maths.org/11597Wed, 01 Dec 1999 00:00:01 +0000Irrational ConstructionsWhat questions does the spiral construction prompt you to ask?http://nrich.maths.org/11605Wed, 01 Dec 1999 00:00:01 +0000The Quintessential ProofIn this resource, the aim is to understand a fundamental proof of Pythagoras's Theorem.http://nrich.maths.org/11483Sun, 01 Mar 2015 00:00:01 +0000Finding CirclesCan you find the centre and equation of a circle given a number of points on the circle? When is it possible and when is it not?http://nrich.maths.org/11485Sun, 01 Mar 2015 00:00:01 +0000The Circle of Apollonius... Coordinate EditionCan you sketch and then find an equation for the locus of a point based on its distance from two fixed points?http://nrich.maths.org/11486Sun, 01 Mar 2015 00:00:01 +0000Can You Find... Trigonometry EditionWhat graphs can you make by transforming sine, cosine and tangent graphs?http://nrich.maths.org/11518Wed, 01 Apr 2015 00:00:01 +0100Equation or Identity (1)Which of these equations concerning the angles of triangles are always true?http://nrich.maths.org/11519Wed, 01 Apr 2015 00:00:01 +0100Equation or Identity (2)Here are some more triangle equations. Which are always true?http://nrich.maths.org/11520Wed, 01 Apr 2015 00:00:01 +0100Have a SineThere's much more to trigonometry than sin, cos and tan...http://nrich.maths.org/11521Wed, 01 Apr 2015 00:00:01 +0100Two-way FunctionsThis gives you an opportunity to explore roots and asymptotes of functions, both by identifying properties that functions have in common and also by trying to find functions that have particular properties. You may like to use the list of functions in the Hint, which includes enough functions to complete the table plus some extras.You might like to work on this problem in a pair or small group,
or to compare your table to someone else's to see where you have used the same functions and where not.http://nrich.maths.org/11301Sat, 01 Nov 2014 00:00:01 +0000Which Quadratic?In this activity you will need to work in a group to connect different representations of quadratics.http://nrich.maths.org/11266Mon, 01 Sep 2014 00:00:01 +0100Absolutely!What can you say about this graph? A number of questions have been suggested to help you look at the graph in different ways. Use these to help you make sense of this and similar graphs.http://nrich.maths.org/11298Sat, 01 Nov 2014 00:00:01 +0000Picture the Process IHow does the temperature of a cup of tea behave over time? What is the radius of a spherical balloon as it is inflated? What is the distance fallen by a parachutist after jumping out of a plane? After sketching graphs for these and other real-world processes, you are offered a selection of equations to match to these graphs and processes.http://nrich.maths.org/11299Sat, 01 Nov 2014 00:00:01 +0000Giants Posterhttp://nrich.maths.org/11227Mon, 01 Sep 2014 00:00:01 +0100