60Primary Teacher big button pagehttp://nrich.maths.org/8697en 2012 http://nrich.maths.org/public/terms.phpReasoningReasoning is fundamental to knowing and doing mathematics but when do we reason and what does reasoning 'look like'? The article below helps to answer those questions and draws together tasks which offer opportunities for learners to reason for different purposes and in different ways.http://nrich.maths.org/11019Wed, 01 Dec 1999 00:00:01 +0000Mathematical Reasoning - Moving Beyond 'because ...'In this article for primary teachers we consider in depth when we might reason which helps us understand what reasoning 'looks like'.http://nrich.maths.org/10990Wed, 01 Dec 1999 00:00:01 +0000Making Algebra RichLynne suggests activities which support the development of primary children's algebraic thinking.http://nrich.maths.org/10908Sun, 01 Jun 2014 00:00:01 +0100What's X Got to Do with It?By following through the threads of algebraic thinking discussed in this article, we can ensure that children's mathematical experiences follow a continuous progression.http://nrich.maths.org/10906Sun, 01 Jun 2014 00:00:01 +0100Take Some ... CubesIn this article we outline how cubes can support children in working mathematically and draw attention to tasks which exemplify this.http://nrich.maths.org/10854Thu, 01 May 2014 00:00:01 +0100Place Value as a Building Block for Developing Fluency in the Calculation ProcessThis article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.http://nrich.maths.org/10769Sat, 01 Feb 2014 00:00:01 +0000How Can I Support the Development of Early Number Sense and Place Value?This article for primary teachers expands on the key ideas which underpin early number sense and place value, and suggests activities to support learners as they get to grips with these ideas.http://nrich.maths.org/10739Sat, 01 Feb 2014 00:00:01 +0000Place Value: the Ten-ness of TenThis article develops the idea of 'ten-ness' as an important element of place value.http://nrich.maths.org/10738Sat, 01 Feb 2014 00:00:01 +0000Early Number SenseThis article explores the basic foundations of number sense and outlines relevant research in this area.http://nrich.maths.org/10737Sat, 01 Feb 2014 00:00:01 +0000Take a ... GeoboardThis article for teachers explains why geoboards are such an invaluable resource and introduces several tasks which make use of them.http://nrich.maths.org/10674Wed, 01 Jan 2014 00:00:01 +0000Developing Number Fluency - What, Why and HowIn this article for primary teachers, Lynne McClure outlines what is meant by fluency in the context of number and explains how our selection of NRICH tasks can help.http://nrich.maths.org/10624Tue, 01 Apr 2014 00:00:01 +0100Understanding FractionsThis article, written for primary teachers, links to rich tasks which will help develop the underlying concepts associated with fractions and offers some suggestions for models and images that help support ideas around fractions.http://nrich.maths.org/10496Fri, 01 Nov 2013 00:00:01 +0000Manipulatives in the Primary ClassroomIn this article for teachers, Jenni Back offers research-based guidance about the use of manipulatives in the classroom.http://nrich.maths.org/10461Tue, 01 Oct 2013 00:00:01 +0100Early Fraction DevelopmentAn article describing activities which will help develop young children's concept of fractions.http://nrich.maths.org/9746Sat, 01 Dec 2012 00:00:01 +0000That Number Square!Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?http://nrich.maths.org/8169Tue, 01 May 2012 00:00:01 +0100Bryony's TriangleWatch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?http://nrich.maths.org/7392Tue, 01 Feb 2011 00:00:01 +0000Pairs of NumbersIf you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?http://nrich.maths.org/7233Tue, 01 Feb 2011 00:00:01 +0000Ip Dip"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?http://nrich.maths.org/7185Tue, 01 Feb 2011 00:00:01 +0000Even and OddThis activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?http://nrich.maths.org/6895Tue, 01 Feb 2011 00:00:01 +0000Strike it OutUse your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.http://nrich.maths.org/6589Tue, 01 Feb 2011 00:00:01 +0000Coded Hundred SquareThis 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?http://nrich.maths.org/6554Tue, 01 Feb 2011 00:00:01 +0000Cubes Here and ThereHow many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?http://nrich.maths.org/6119Tue, 01 Feb 2011 00:00:01 +0000Building with CubesTry to picture these buildings of cubes in your head. Can you make
them to check whether you had imagined them correctly?http://nrich.maths.org/5817Tue, 01 Feb 2011 00:00:01 +0000Picture a Pyramid ...Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?http://nrich.maths.org/5809Tue, 01 Feb 2011 00:00:01 +0000Shape Times ShapeThese eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?http://nrich.maths.org/5714Tue, 01 Feb 2011 00:00:01 +0000Balance of HalvesInvestigate this balance which is marked in halves. If you had a weight on the left-hand 7, where could you hang two weights on the right to make it balance?http://nrich.maths.org/5677Tue, 01 Feb 2011 00:00:01 +0000Getting the BalanceIf you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?http://nrich.maths.org/5676Tue, 01 Feb 2011 00:00:01 +0000Inside TrianglesHow many different triangles can you draw on the dotty grid which each have one dot in the middle?http://nrich.maths.org/5648Tue, 01 Feb 2011 00:00:01 +0000Four GoThis challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner?http://nrich.maths.org/5633Tue, 01 Feb 2011 00:00:01 +0000Making Longer, Making ShorterAhmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?http://nrich.maths.org/5590Tue, 01 Feb 2011 00:00:01 +0000Numbers as Shapes
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
http://nrich.maths.org/5158Tue, 01 Feb 2011 00:00:01 +0000Brush LoadsHow can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.http://nrich.maths.org/4911Tue, 01 Feb 2011 00:00:01 +0000Chairs and TablesMake a chair and table out of interlocking cubes, making sure that the chair fits under the table!http://nrich.maths.org/2908Tue, 01 Feb 2011 00:00:01 +0000Virtual GeoboardA virtual geoboard that allows you to create shapes by stretching rubber bands between pegs on the board. Allows a variable number of pegs and variable grid geometry and includes a point labeller.http://nrich.maths.org/2883Tue, 01 Feb 2011 00:00:01 +0000Board Block ChallengeChoose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?http://nrich.maths.org/2872Tue, 01 Feb 2011 00:00:01 +0000Board BlockTake it in turns to make a triangle on the pegboard. Can you block your opponent?http://nrich.maths.org/2871Tue, 01 Feb 2011 00:00:01 +0000Nine-pin TrianglesHow many different triangles can you make on a circular pegboard that has nine pegs?http://nrich.maths.org/2852Tue, 01 Feb 2011 00:00:01 +0000Hundred SquareA hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?http://nrich.maths.org/2397Tue, 01 Feb 2011 00:00:01 +0000Fair FeastHere is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?http://nrich.maths.org/2361Tue, 01 Feb 2011 00:00:01 +0000Up and Down StaircasesOne block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?http://nrich.maths.org/2283Tue, 01 Feb 2011 00:00:01 +0000Fractional TrianglesUse the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.http://nrich.maths.org/2124Tue, 01 Feb 2011 00:00:01 +0000Eggs in BasketsThere are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?http://nrich.maths.org/2002Tue, 01 Feb 2011 00:00:01 +0000Transformations on a PegboardHow would you move the bands on the pegboard to alter these shapes?http://nrich.maths.org/1813Tue, 01 Feb 2011 00:00:01 +0000HalvingThese pictures show squares split into halves. Can you find other ways?http://nrich.maths.org/1788Tue, 01 Feb 2011 00:00:01 +0000TotalityThis is an adding game for two players.http://nrich.maths.org/1216Tue, 01 Feb 2011 00:00:01 +0000Plenty of PensAmy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?http://nrich.maths.org/1117Tue, 01 Feb 2011 00:00:01 +0000Mystery MatrixCan you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.http://nrich.maths.org/1070Tue, 01 Feb 2011 00:00:01 +0000Super ShapesThe value of the circle changes in each of the following problems.
Can you discover its value in each problem?http://nrich.maths.org/1056Tue, 01 Feb 2011 00:00:01 +0000Amy's DominoesAmy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?http://nrich.maths.org/1044Tue, 01 Feb 2011 00:00:01 +0000Heads and FeetOn a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?http://nrich.maths.org/924Tue, 01 Feb 2011 00:00:01 +0000Making SticksKimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?http://nrich.maths.org/231Tue, 01 Feb 2011 00:00:01 +0000Happy HalvingCan you split each of the shapes below in half so that the two parts are exactly the same?http://nrich.maths.org/217Tue, 01 Feb 2011 00:00:01 +00003 Blocks TowersTake three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?http://nrich.maths.org/137Tue, 01 Feb 2011 00:00:01 +0000Maze 100Can you go through this maze so that the numbers you pass add to exactly 100?http://nrich.maths.org/91Tue, 01 Feb 2011 00:00:01 +0000Sticky TrianglesCan you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?http://nrich.maths.org/88Tue, 01 Feb 2011 00:00:01 +0000PebblesPlace four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?http://nrich.maths.org/48Tue, 01 Feb 2011 00:00:01 +0000ChocolateThere are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?http://nrich.maths.org/34Tue, 01 Feb 2011 00:00:01 +0000