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Nrich - a website with maths activities and games
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Resources to develop mathematical reasoning and problem solving. Nrich aims to enrich the mathematical experiences of all learners and embeds rich mathematical tasks into everyday classroom practice.
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Activities and games can be explored independently or together with families.
The website covers topic such as:
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The 'Thinking Mathematically' sections provide additional educational activities.
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The resources are grouped into levels. Level 1 aligns with early years, while level 4 aligns with lower secondary. Teachers can use the search functionality to find tasks that match the topic that they are teaching.
The tasks are not mapped to the Australian Curriculum but align well with the mathematical concepts.
Page last updated: 12 Oct 2022
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A project from the University of Cambridge which aims to enrich the mathematical experiences of all learners. NRICH focuses on problem solving and on creating opportunities for students to learn mathematics through exploration and discussion.
NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.
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NRich problems in year 4
Posted on November 25, 2021 Likes 0 Comments 0 Tagged Tags: maths , NRich , numeracy , Problem solving , Year 4
Year 4 had a slightly different problem solving session this morning – they had a go at some challenging problems set by the NRich team, working in pairs and solving some really complex questions! They worked with a variety of resources and apparatus to come to their conclusions. Da iawn, blwyddyn pedwar!
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The Joint Mathematical Council of the United Kingdom
Addressing the five ‘big questions’ in problem-solving with NRICH
The importance of ensuring learners acquire the problem-solving skills which will enable them to thrive both socially and economically in their increasingly automated world is widely recognised (Luckin et al., 2017). Nevertheless, government inspectors have reported serious concerns about the quality and quantity of problem-solving in our schools (Ofsted, 2015). This summer schools were challenged to reflect on ‘Five big questions for problem-solving’ (EEF, 2021). In this blog, we will consider each of those five questions and explore the ways that the NRICH team is supporting schools to address them.
Question one: Do teachers in your school select genuine problem-solving tasks for which pupils do not already have a ready-made method available?
Too often, learners are presented with routine word problems which merely require the application of a known algorithm. ‘Genuine’ problems enable them to make their own problem-solving decisions by choosing their own strategies and enabling them to compare their approach with those of other learners, thus developing their problem-solving efficiency and flexibility. At NRICH , our award-winning activities allow learners to develop these key skills alongside the confidence to tackle genuine problems. Moreover, our ‘ low threshold, high ceiling ‘ approach enables everyone to get started on the problem while ensuring a suitable level of challenge too, making them ideal for whole-class teaching.
Question two: Are pupils given the opportunity to see – through multiple worked examples – to use, and to compare different approaches to solving a problem?
Many problems can be explored in more than one way. Working flexibly, making connections between different areas of the curriculum and reflecting on various problem-solving approaches are key steps towards becoming a more fluent mathematician. NRICH encourages learners to develop these skills in these two ways:
Our primary , secondary and post-16 Live Problems invite learners to explore and submit their ideas to the team. We review each submission that we receive and publish a selection on our website showcasing different approaches and the reasoning behind them.
Our NRIC H online activities sometimes feature ‘hide and reveal’ buttons showcasing different starting points towards a solution for learners to explore further for themselves. This approach enables learners to widen their range of strategies for solving unfamiliar problems and develop alternative approaches to explore when they get stuck using their first-choice strategy.
Question three: Are pupils encouraged to use visual representations to support them to solve a problem?
One of the most important approaches towards solving an unfamiliar problem is drawing a good diagram. Learning to draw diagrams is a skill which we encourage learners of all ages to develop alongside their other mathematical skills and knowledge. From sketching graphs to drawing a bar model, good diagrams can help learners clarify their understanding and identify possible ways forward.
Our four steps towards problem-solving feature highlights the importance of drawing a diagram to enable young learners to get started on a problem. We often highlight a useful diagram, table or sketch graph in the solutions chosen for publication. As learners progress through their learning, the team model more specific drawing skills, such as sketching a graph to help solve a STEP problem.
Question four: Are pupils supported to monitor, reflect on, and communicate their reasoning and choice of strategies, possibly through the use of prompt questions?
NRICH encourages learners to reflect on their learning using this approach inspired by the Strands of Mathematical Proficiency model introduced by Kilpatrick et al. (2001).
Our approach uses child-friendly language that teachers and parents can share with students five key ingredients that characterise successful mathematicians. At NRICH , we believe that learning mathematics is about much more than just learning topics and routines. Successful mathematicians understand the curriculum content and are fluent in mathematical skills and procedures, but they can also solve problems, explain their thinking and have a positive attitude about themselves as learners of mathematics.
With this in mind, we have created this self assessment tool to help learners recognise where their mathematical strengths and weaknesses lie. We hope learners will explore NRICH activities and then take time to reflect on their own mathematical capabilities using our model.
Question 5: Is professional development time allocated to develop teachers’ pedagogical understanding of problem-solving, with particular support for early career teachers?
NRICH supports teachers to maximise the potential of our activities by offering free, regular professional development for teachers . Each session is delivered online, enabling teachers to access the support wherever they are based, reducing teacher travel and cover costs for schools. We also record the sessions and upload them to our website so that schools can access them for future professional development days or staff/department meetings in their settings.
The live sessions are led by NRICH team members and they link directly to our latest primary , secondary and post-16 Live Problems. This approach enables teachers to consider the possibilities of the activities with the NRICH team before exploring them the next day with their own classes. Later, they are invited to share their classwork with our team for possible publication on the NRICH website.
The five ‘big questions’ provide excellent starting points for evaluating the teaching and learning of problem-solving in different settings. I hope that this blog shares an insight into the different ways that NRICH can support schools to address the five questions for themselves by engaging with our activities, Live Problems and teacher webinars.
Dr Ems Lord FCCT
Director of NRICH
Centre for Mathematical Sciences
University of Cambridge
Selected references
EEF. (2021). EEF Blog: Integrating evidence into maths teaching – guiding problem-solving. Accessed from https://educationendowmentfoundation.org.uk/news/eef-blog-integrating-evidence-into-mathematics-guiding-problem-solving /
Kilpatrick, J. Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics (Vol. 2101). J. Kilpatrick, & National research council (Eds.). Washington, DC: National Academy Press.
Luckin, R., Baines, E., Cukurova, M., Holmes, W., & Mann, M. (2017). Solved! Making the case for collaborative problem-solving. Accessed from http://oro.open.ac.uk/50105/1/solved-making-case-collaborative-problem-solving.pdf
Ofsted. (2015). Better Maths Conference Spring Keynote 2015. Accessed here https://www.slideshare.net/Ofstednews/better-mathematics-keynote-spring-2015
Or search by topic
Number and algebra
- The Number System and Place Value
- Calculations and Numerical Methods
- Fractions, Decimals, Percentages, Ratio and Proportion
- Properties of Numbers
- Patterns, Sequences and Structure
- Algebraic expressions, equations and formulae
- Coordinates, Functions and Graphs
Geometry and measure
- Angles, Polygons, and Geometrical Proof
- 3D Geometry, Shape and Space
- Measuring and calculating with units
- Transformations and constructions
- Pythagoras and Trigonometry
- Vectors and Matrices
Probability and statistics
- Handling, Processing and Representing Data
- Probability
Working mathematically
- Thinking mathematically
- Mathematical mindsets
- Cross-curricular contexts
- Physical and digital manipulatives
For younger learners
- Early Years Foundation Stage
Advanced mathematics
- Decision Mathematics and Combinatorics
- Advanced Probability and Statistics
About Nrich
We believe that successful mathematicians understand curriculum concepts and are fluent in mathematical skills and procedures, and can also solve problems, explain and justify their thinking, and have a positive attitude towards mathematics and to themselves as learners of mathematics.
With this in mind, we offer rich mathematical activities which aim to nurture curious, resourceful and confident learners of mathematics.
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Years 3 & 4: Number and place value
This list consists of activities, games and videos designed to support the new curriculum programme of study in Years Three and Four. Containing tips on using the resources and suggestions for further use, it covers: Year 3: Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number, recognise the place value of each digit in a three-digit number, compare and order numbers up to 1000, identify, represent and estimate numbers using different representations, read and write numbers up to 1000 in numerals and in words, solve number problems and practical problems involving these ideas. Year 4: Count in multiples of 6, 7, 9, 25 and 1000, find 1000 more or less than a given number, count backwards through zero to include negative numbers, recognise the place value of each digit in a four-digit number, order and compare numbers beyond 1000, identify, represent and estimate numbers using different representations, round any number to the nearest 10, 100 or 1000, solve number and practical problems that involve all of the above, read Roman numerals to 100 (I to C) and know that, over time, the numeral system changed to include the concept of zero and place value. Visit the primary mathematics webpage to access all lists.
The Deca Tree
This NRICH maths problem will help children to apply and deepen their understanding of 10, 100, 1000 up to 10,000 and could easily be extended to allow children to explore number patterns further. The visual representation of a tree shows what the extra zeros do to a number when multiplying by 10 or 100 by looking at the number of trunks, branches, twigs and leaves.
Place Value Charts
Use this interactive resource to help children understand more about place value. A target number is given and children select which hundred, ten and one is required to make the number. This activity is a great visual demonstration and also offers an opportunity to looks at tenths.
Rounding Numbers
A range of worksheets, interactive resoureces and games for both teacher planning and direct student use. These are all a very useful way to practise rounding numbers to the nearest 10, 100 or 1000. The interactive resources provide children with a range of methods to practice rounding pictorally - using numberlines, mazes, and sports themed activities.
Place Value Games for Students Aged 7-9
Quality Assured Category: Mathematics Publisher: Nelson Thornes
Published by BEAM, these games provide opportunities for students to apply their knowledge of place value, number recognition and ordering. *Aim for 500 - in this game both players roll the dice and use the numbers to make two three-digit numbers, then add them up. Whoever gets a total closest to 1500 wins the game. *Making numbers - students create two four-digit numbers from digits generated by rolling a dice before decidng which is the highest. *Mastermind - using a two-digit number one player tries to discover the number by being given clues relating to the place value of the digits.
Maths Chest 6 - Number: Pack 1
Aimed at lower Key Stage Two, this resource provides games and activities, including photocopiable worksheets. These could be used with the whole class or with smaller groups practising specific topics.
IMAGES
VIDEO
COMMENTS
There are 51 NRICH Mathematical resources connected to NC Yr 4, you may find related items under NC. Broad Topics > NC > NC Yr 4 Problem Primary curriculum Secondary curriculum
Developing Excellence in Problem Solving with Young Learners. Age 5 to 11. Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. In this article, Jennie suggests that we can support this process in three principal ways.
Four Go. Age 7 to 11. Challenge Level. This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line.
A Guide to Problem Solving. When confronted with a problem, in which the solution is not clear, you need to be a skilled problem-solver to know how to proceed. When you look at STEP problems for the first time, it may seem like this problem-solving skill is out of your reach, but like any skill, you can improve your problem-solving with practice.
In planning for problem solving there are several areas to consider: 1. The type of problem you want to focus on. 2. The problem-solving strategy or skill you wish the children to develop. 3. The NRICH four stage problem-solving process. This feature offers ideas on all of these aspects and also links different NRICH activities to each.
The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles. ... Here you will find activities to develop your problem-solving skills and improve your understanding of mathematical topics. Secondary.
The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles. Skip over navigation. menu search ... Collections of NRICH tasks designed to develop learners' key problem-solving skills. Developing positive attitudes.
NRICH: Swimming Pool. NRICH: First Connect Three . NRICH: Sea Level . NRICH: A Bit of a Dicey Problem . NRICH: The Puzzling Sweet Shop ** NRICH: Money Bags ** NRICH: Amy's Dominoes ** NRICH: Escape from the Castle ** NRICH: Fifteen Cards * NRICH: Sealed Solution ** NRICH: Roll These Dice ** Multiplication and division
The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.
Nrich - a website with maths activities and games. Print this page. Resources to develop mathematical reasoning and problem solving. Nrich aims to enrich the mathematical experiences of all learners and embeds rich mathematical tasks into everyday classroom practice.
This first blog provides an introduction to problem solving with NRICH, and explores how important it is to choose appropriate tasks. The second will explore how you can structure the problem-solving process, and embed problem solving into every school day. Becoming a confident and competent problem solver is a complex process that requires a ...
A project from the University of Cambridge which aims to enrich the mathematical experiences of all learners. NRICH focuses on problem solving and on creating opportunities for students to learn mathematics through exploration and discussion. NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school ...
The Problem-solving Classroom By NRICH Primary Team and Jenny Earl This article forms part of our Problem-solving Classroom Feature, exploring how to create a space in which mathematical problem solving can flourish. At NRICH, we believe that there are four main aspects to consider: • Highlighting key problem-solving skills
The problem-solving process can usually be thought of as having four stages: Stage 1 - Getting started: in this stage, teachers can support children by offering strategies to help them engage with the problem. These could be prompts such as telling a partner what they think the problem is about or helping them understand the problem by ...
Year 4 had a slightly different problem solving session this morning - they had a go at some challenging problems set by the NRich team, working in pairs and solving some really complex quest…
A collection of short problems for Stages 3 and 4. A collection of short problems for Stages 3 and 4. ... mathematical thinking and problem-solving skills. You may wish to use these as lesson starters, homework tasks, or as part of internal assessment exercises. ... or as part of internal assessment exercises. Longer NRICH problems can be found ...
Developing. 1b. Either method can be correct as long as the reasoning makes sense, for example: The part-whole model, because you do not have to draw out the counters. 15 x 6 = 90 2b. Various answers, for example: 23 x 4 =. 92 3b. Asher is correct because 10 x 4 = 40 and. 9 x 4 = 36. 40 + 36 = 76.
30 Nov 2023. Our NRICH programme has launched a new initiative to help schools prioritise problem-solving in maths. The NRICH Problem-Solving Schools programme will offer free resources, advice and teacher professional development training. Problem-solving is a critical skill when it comes to empowering students for the future.
Interactives - Upper Primary. Try these interactives to improve yours skills in a variety of topics. The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.
Addressing the five 'big questions' in problem-solving with NRICH . The importance of ensuring learners acquire the problem-solving skills which will enable them to thrive both socially and economically in their increasingly automated world is widely recognised (Luckin et al., 2017). Nevertheless, government inspectors have reported serious ...
About Nrich. We believe that successful mathematicians understand curriculum concepts and are fluent in mathematical skills and procedures, and can also solve problems, explain and justify their thinking, and have a positive attitude towards mathematics and to themselves as learners of mathematics. With this in mind, we offer rich mathematical ...
Developing Mathematical Thinking - Primary Teachers. Successful mathematicians understand curriculum concepts, are fluent in mathematical procedures, can solve problems, explain and justify their thinking, and have a positive attitude towards learning mathematics. Exploring, questioning, working systematically, visualising, conjecturing ...
This list consists of activities, games and videos designed to support the new curriculum programme of study in Years Three and Four. Containing tips on using the resources and suggestions for further use, it covers: Year 3: Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number, recognise the place value ...
This means we are inviting students to send us solutions, and we will publish a selection of them, along with each student's name and their school, a few weeks later. If you'd like to know more about what we're looking for, read this short article. The last day for sending solutions to these live problems is Monday 17 June. Tangram Tangle Live.