60Upper Secondary Big Buttonhttp://nrich.maths.org/secondary-upperen 2012 http://nrich.maths.org/public/terms.phpThe 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/11486Wed, 01 Dec 1999 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/11485Wed, 01 Dec 1999 00:00:01 +0000Quadrature of the LunesA lune is the area left when part of a circle is cut off by another circle. Can you work out the area?http://nrich.maths.org/11484Wed, 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/11483Wed, 01 Dec 1999 00:00:01 +0000Circular Argumentshttp://nrich.maths.org/11475Wed, 01 Dec 1999 00:00:01 +0000Transformation ... or Not?This graph looks like a transformation of a familiar function...http://nrich.maths.org/11315Thu, 01 Jan 2015 00:00:01 +0000A Tangent Is ...What do we REALLY mean when we talk about a tangent to a curve?http://nrich.maths.org/11314Thu, 01 Jan 2015 00:00:01 +0000Can You Find ... Asymptote EditionGiven a sketch of a curve with asymptotes, can you find an appropriate function?http://nrich.maths.org/11313Thu, 01 Jan 2015 00:00:01 +0000Can You Find ... Cubic EditionCan you find cubic functions which satisfy each condition?http://nrich.maths.org/11312Thu, 01 Jan 2015 00:00:01 +0000A Big PowerHave you ever tried to work out the largest number that your calculator can cope with? What about your computer? Perhaps you tried using powers to make really large numbers. In this problem you will think about how much you can do to understand such numbers when your calculator is less than helpful!http://nrich.maths.org/11311Mon, 01 Dec 2014 00:00:01 +0000Factorial FragmentsHere you have an expression containing logs and factorials! What can you do with it?http://nrich.maths.org/11310Mon, 01 Dec 2014 00:00:01 +0000Proving the Laws of LogarithmsHere you have an opportunity to explore the proofs of the laws of logarithms.http://nrich.maths.org/11309Mon, 01 Dec 2014 00:00:01 +0000Summing to OneThis problem is a nice introduction that will give you a feeling for how logs work and what that button on your calculator might be doing.http://nrich.maths.org/11308Mon, 01 Dec 2014 00:00:01 +0000Two-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 +0000Approaching AsymptotesCan you describe what an asymptote is? This resource includes a list of statements about asymptotes and a collection of graphs, some of which have asymptotes. Use the graphs to help you decide whether you agree with the statements about asymptotes.http://nrich.maths.org/11300Sat, 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 +0000Absolutely!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 +0000Order in Disorder - Video<a href="http://mmp.maths.org/leader-order-jun14-video">Professor Imre Leader talks about Ramsey Theory in this video from June 2014</a>http://nrich.maths.org/11282Mon, 01 Sep 2014 00:00:01 +0100Which 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 +0100Factorisable QuadraticsThis will encourage you to think about whether all quadratics can be factorised and to develop a better understanding of the effect that changing the coefficients has on the factorised form.http://nrich.maths.org/11265Mon, 01 Sep 2014 00:00:01 +0100DiscriminatingYou're invited to decide whether statements about the number of solutions of a quadratic equation is always, sometimes or never true.http://nrich.maths.org/11264Mon, 01 Sep 2014 00:00:01 +0100Powerful QuadraticsThis comes in two parts, with the first being less fiendish than the second. Itâ€™s great for practising both quadratics and laws of indices, and you can get a lot from making sure that you find all the solutions. For a real challenge (requiring a bit more knowledge), you could consider finding the complex solutions.http://nrich.maths.org/11263Mon, 01 Sep 2014 00:00:01 +0100Sketching Graphs - TransformationsIf you can sketch y=f(x), there are several related functions you can also sketch...http://nrich.maths.org/10774Sat, 01 Feb 2014 00:00:01 +0000Simply GraphsLook for the common features in these graphs. Which graphs belong together?http://nrich.maths.org/8257Wed, 01 Aug 2012 00:00:01 +0100SortedHow can you quickly sort a suit of cards in order from Ace to King?http://nrich.maths.org/8192Mon, 01 Oct 2012 00:00:01 +0100Mystery ProcedureCan you work out what this procedure is doing?http://nrich.maths.org/7331Tue, 01 Feb 2011 00:00:01 +0000Whose Line Graph Is it Anyway?Which line graph, equations and physical processes go together?http://nrich.maths.org/6500Tue, 01 Feb 2011 00:00:01 +0000Curve MatchWhich curve is which, and how would you plan a route to pass between them?http://nrich.maths.org/6493Tue, 01 Feb 2011 00:00:01 +0000Loch NessDraw graphs of the sine and modulus functions and explain the
humps.http://nrich.maths.org/2693Tue, 01 Feb 2011 00:00:01 +0000