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KS2 Maths Investigations Based On Real Life In Primary School
Sophie Bessemer
It’s been a long week and it is time to hand out your latest ‘exciting’ KS2 maths investigations, carefully crafted problem solving investigations focused specifically on the work you’ve been doing this week.
But then you hear the the immortal words from your Year 6: ” What Does This Have To Do With The Real World?”
Any good teacher knows, of course, exactly how relevant maths is in the real world and how, without maths, modern society as we know it would never have existed.
The problem is, not all 11 year olds know it too – and you’re going to have a hard time convincing some of them.
In defence of 11 year olds, the curriculum – maths in particular – can sometimes feel all too distant from what’s ‘real’.
So the question then becomes, how do we show young learners how Maths intersects and dominates our day to day life?
How do we give our KS2 pupils maths investigations that inspire them, change their perceptions and help them to move beyond a fixed mindset to see maths problem solving as entirely relevant to what may come next in life?
If you’re just interested in maths investigations for Year 5 and Year 6 we’ve created jump to the end of the blog where they’re all listed by term.
KS2 Maths Investigations: Problem solving in context
Benefits of maths investigations at ks2, 5 top tips for creating your own ks2 maths investigations, year 5 and year 6 maths investigations.
We believe that one of the answers is putting your maths problem solving activities into a context that your pupils can relate to.
We call this Topical Maths, and we’ve used this idea as the source for several of our most popular Year 5 and Year 6 maths problem solving resources, all offering the kind of KS2 maths investigations we know your pupils will love!
KS2 Topical Maths Problems
25 real world maths investigations to practise reasoning and problem solving based on primary school calendar events
There are lots of benefits of course, but the most important as far as we’re concerned are these:
- Pupils are required to talk and reason about their maths
- The maths problem solving investigations cement higher order reasoning skills and problem solving
- Starting early with Year 5 maths investigations you can support familiarity with the sorts of questions that come up in Year 6 SATs.
To encourage you to give these KS2 maths investigations a go, we’ll first look at the benefits and principles of introducing them for your reasoning and problem solving at Year 5 and Year 6, we’ll then give you some ideas for how you can create these problem solving activities for the rest of KS2 yourself.
We guarantee you’ll see your pupils’ reasoning and problems solving skills improve!
1. KS2 Maths Investigations Involve Pupils Talking and Reasoning
Getting pupils to verbalise their numerical reasoning has a knock-on effect on pupils’ overall reasoning skills, which is why the core element of our KS2 maths intervention is mathematical reasoning; asking pupils to explain not just what they’re doing, but why they’re doing it.
As a teacher of a large class, it can be difficult to provide the teacher time necessary for each pupil to verbalise to you their reasoning.
The inherently collaborative nature of year 5 and year 6 maths investigations gives pupils the opportunities to to reason out loud and work on their maths problem solving skills.
2. KS2 Maths Investigations Cement Higher Order Reasoning Skills
Our experience teaching thousands of primary school pupils maths every week has shown us that at KS2, even by Year 5 or Year 6, pupils often have good procedural understanding, but struggle with higher order problem solving questions.
The problem solving element to these topical maths investigations naturally improves reasoning skills in Year 5 and Year 6 pupils, as they are more likely on reaching an answer to have to think about not just how but why that answer is correct.
By setting topical maths investigations at KS2 as group-work or a whole class activity, you can ensure that all pupils get to experience this deep level of reasoning.
Many of our topical maths investigations are open ended, but if you’re teaching a fully mixed ability class, we’ve also created some low threshold high ceiling open ended maths investigations specifically for mixed ability classes.
3. KS2 Maths Investigations Give Early Exposure To SATs Style, Reasoning Questions
Most, if not all, schools will provide their pupils with exposure to reasoning via SATs-style questions, but this often comes hand in hand with exams and assessment.
Yet, it is equally important to get pupils reasoning and problem solving in a low stakes classroom setting or as a group.
Creating a learning environment where the types of problem solving questions found in SATs just become part of your lessons will help pupils feel comfortable with exam terminology, and ensures they are more at ease with being asked the same kind of question (say, multiplying and dividing fractions) in lots of different ways.
These maths problem solving investigations and downloadable resources enable you to include these type of SATs style questions in a way which is fun and confidence boosting.
More problem solving and reasoning articles
- Ultimate Guide to Maths Problem Solving Techniques
- Maths Investigations: How To Develop Mathematical Reasoning
- 35 Year 6 Maths Reasoning Questions .
You don’t need to create your own problem solving investigations – the links at the end of this article should provide you with everything you need. However if you do want to have a go these were our principles and, judging by the number of visits. to the date related articles and downloads of these resources we get every year, they’re still very popular.
1. Date-based themes for maths problem solving activities
Nothing solidifies maths in the real world quite like the real world. Nearly, if not everyday of the year holds some significance to someone.
February? Pancake day, Valentines Day, and Fairtrade Fortnight.
March? Red Nose Day, World Book Day, and Holi.
Why not spice your lesson up and throw in some Pancake Day Maths for ratios, or Bonfire Night Maths for measurements. Capitalise on special celebrations throughout the world to excite and enthuse young learners.
For example these Christmas activities always prove popular with KS1 and KS2 or at a different time of year you could try these summer holiday maths investigations or any of these maths activities .
2. Trends and pop-culture KS2 maths investigations
Peers and pop culture hold huge sway over most pupils, and the reason for this is that as growing persons we want to fit in and find friends.
Nothing achieves this more effectively than mutual interest. As a teacher, utilise it – whether this is measuring the speed of explosions in the latest Transformer film, or totalling the high notes in Disney’s Moana – you’ll have pupils hooked in no time.
For the exceptionally savvy teacher, you might want to capitalise on the latest fads and trends within your school. How about measuring amounts via the infamous bottle trick, or examining angles through the lens of the dab?
3. Simple stuff engages pupils with maths problem solving and reasoning
Sometimes when teachers link maths back to real world issues, politics, and the universe at large, it can still feel a little dissonant for the younger pupils.
Don’t be afraid to stick with the simple stuff and the smaller aspects of the world.
Everybody needs to know how much change they’ll have left over after a bus ride home, everyone wants to know exactly how many chocolate bars they can gorge themselves on with two pounds, and everyone wants to know how many times they can go on the log-flume with five tickets.
Keeping it simple can be one of the most effective ways to engage pupils by showing them the mathematics they will employ in every-day life.
4. Cool factor for primary teachers – even in maths
Generally – note this is a generalisation – as a secondary teacher, one can spend eternity being uncool. Luckily primary school teachers get an easier rap, and KS2 pupils are willing to be ‘wowed’. All students can be ‘wowed’ under the right circumstances, but with younger, more malleable minds it can be somewhat easier.
Astronauts, magicians, superheroes, cute animals, cartoons, all carry the power of enthusiasm. They can be your secret weapon for making percentages fun – you’re not halving a number, you’re a magician halving a 167cm person in a special box, etc.
5. Make your maths investigations REALLY relevant
Relevance can be highly underrated when it comes to linking seemingly abstract topics to the real world.
One trick is to instead of distributing your problem solving activity sheets with strangers’ names and unrelatable allegories in the questions, why not make those names and allegories about your class.
Instead of a stranger gathering four apples and eating three, make your pupil.
Instead of apples, why not their favourite snack?
Letting students pick names in questions gives them greater agency in their learning and can be highly engaging.
Better still, putting their names/hobbies/likes/dislikes will not only show them that you know them, and that you care, but it will establish clear links between the work they are doing and the world proper.
Here’s our complete list of topical maths investigations for year 5 and year 6.
Autumn Term maths investigations year 6 and year 5
- Autumn maths activities
- Halloween maths activities
- Bonfire Night maths activities
- Christmas maths activities
Spring Term maths investigations year 6 and year 5
- Heart Month Months activities
- Shrove Tuesday Maths activities
- Pancake Day Maths activities
- World Book Day Maths activities
- International Women’s Day Maths activities
- British Science Week Maths activities
- Holi Maths activities
- Easter/Lent Maths activities
Summer term maths investigations year 6 and year 5
- Share-a-Story Month activities
- FA Cup Maths activities
- Walk to School Week activities
- Ramadan Maths activities
- Child Safety Week activities
And if that’s not enough we’ve even got maths activities for Year 5 and Year 6 for events you’re likely to celebrate in primary school but don’t come round every year…
- Red Nose Day Maths activities
- World Cup Maths activities
- Election Maths
- Jubilee Maths activities
We update these blog posts every year so keep an eye on your calendar, and let us know how you get on @thirdspacetweet.
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Year 5 mixed operation word problems
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
12 May 2020
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A range of mixed operation Maths word problems that are in line with NC targets for Year 5 but suitable across all of Key Stage Two
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Daily Maths Word Problems - Year 6 (Worksheets)
Updated: 17 Apr 2024
A set of 20 problem-solving questions suited to year 6 students.
Non-Editable: PDF
Pages: 6 Pages
- Curriculum Curriculum: AUS V8, VIC, AUS V9
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This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics.
It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.
An answer sheet has been included.
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Daily maths problems - year 6.
A 44 slide editable PowerPoint Template for problem solving in mathematics.
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Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.
Pls tell me the answer of Millie held a two-hour cookie sale to raise money for her school. Cookies were priced at $3 each. Millie raised $48 in the first hour. At the end of the sale, Millie had raised $105. How many cookies did Millie sell in the second hour?
Hi Simba, You can find the answers on the last page of this resource. If you need assistance with anything else, please don't hesitate to get in touch!
Hello, would it be possible to have the questions related to Australia's system of measurement please e.g. miles to kilometres and Fahrenheit to Celsius Thank you!
Hi Lauren, I think the issue has been fixed now. You can download this resource again. If there is anything else I can assist you with, please don't hesitate to contact me.
Resource updates
Question 8 needed adjustments on the quantities to make the problem work. This has been updated
Fixed the answer on Question 20.
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Extending Fraction Bars
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Always, Sometimes or Never? Shape
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Always, Sometimes or Never? Number
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IMAGES
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Using these Year 5 maths worksheets will help your child learn to: apply their division facts up to 10x10 to answer related questions involving 10s and 100s. divide any whole number by a single digit. Divding by Multiples of 10 and 100 Worksheets. Year 5 (4th Grade) Long Division Worksheets.
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. Using NRICH Tasks to Develop Key Problem-solving Skills.
Benefits Of Maths Investigations At KS2. There are lots of benefits of course, but the most important as far as we're concerned are these: Pupils are required to talk and reason about their maths. The maths problem solving investigations cement higher order reasoning skills and problem solving. Starting early with Year 5 maths investigations ...
Maths Problem Solving Lesson Plan Year 5 and 6. Problem Solving, patterns and sequences, algebra. This lesson achieved outstanding by Ofsted today. SMartboard file is based on a resource I found on Primary Resource called 'Magic Carpet'. Please e-mail me with any questions: [email protected].
These sheets involve solving one or two more challenging longer problems. Year 6 Math Problems (5th Grade) These sheets involve solving many 'real-life' problems involving data. Year 6 Math Word Problems (5th Grade) These sheets involve solving a range of ratio problems. Ratio Word Problems Multiplication Word Problems
The set contains 20 maths problems designed to get children thinking and practising their maths knowledge. The cards ask year 5 children to solve maths problems involving: Multiplication. The set also comes with answer sheet, making these year 5 maths challenge cards really easy to use.
Here are some of the Year 5 and 6 curriculum objectives that these Maths problem resources fulfil: Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098). Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291).
Twinkl's Year 5 problem-solving games and activities include more complex tasks that require a developed knowledge of various maths topics to complete them. To test your children's abilities, you could use our: Have a go at this Multiplication Array Game to strengthen children's multiplication skills.
Year 6 Geometry Shape Maths Mastery Resource Pack. 5.0 (3 reviews) Year 6 Maths Mastery Challenge Cards on Bumper Pack. 4.6 (5 reviews) Year 6 Diving into Mastery: Step 16 Mental Calculations and Estimation Teaching Pack. Year 6 Diving into Mastery: Step 4A Compare and Order (Numerator) Teaching Pack.
Includes 4 pages with strategies to help problem solve Problem 1: Eating Sweets Problem 2: Shopping Trip Problem 3: On the Scales Problem 4:Passengers Problem 5: Coloured Cubes Problem 6: Darts Scores. Taken from Problem Solving Year 5&6. Leave a review
Reasoning problems Year 5/6 with answers. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 14.96 KB. This resource has been created based on KS2 SATs reasoning tests. These can be used to practise a range of skills or identify gaps in learning. Answers are at the bottom of the worksheet.
Problem solving. Find out how the order of operations shows you which bit of a calculation to do first. Year 6 KS2 Maths Problem solving learning resources for adults, children, parents and teachers.
By year 6 children should be able to: Solve maths problems involving addition, subtraction, multiplication and division. Solve calculations involving fractions, decimals and percentages. Solve problems involving multiple operations, in the correct order.
This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods. An answer sheet has been included.
Test Your Class with These Maths Word Problems for Year 6. Challenge your key stage 2 children to choose the correct operations and solve these real-life puzzles with these problem-solving year 6 maths worksheets. Would like it in Australian currency but still works - good to challenge the students. Thank you so much for getting in touch!
Here are some of our favourite options: Year 5 NAPLAN Preparation and Practice Exams Resource Pack 4; Open-Ended Maths Investigation Challenge Cards; Year 5 Working Backwards Maths Word Problems. These resources have been created specifically to support upper-primary school students in their preparation for the NAPLAN exams.
These open-ended Year 6 maths investigations are a really fun and creative way to get children learning and engaging with different problems from a mathematical perspective. These activities will not only expand children's maths knowledge, but they will also help them improve their problem-solving skills and logical thinking. Twinkl Key Stage 2 ...
Maths word problems are a fantastic problem-solving exercises. They encourage children to think on their feet, work backwards and come up with solutions. In these Year 5 Maths worksheets in PDF format, word problems are also put into the context of everyday life. They're an excellent way of engaging children with life outside of the classroom ...
Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 27.22 KB. docx, 23.84 KB. docx, 23.92 KB. docx, 25.38 KB. A range of mixed operation Maths word problems that are in line with NC targets for Year 5 but suitable across all of Key Stage Two. Creative Commons "Attribution".
A set of 20 problem-solving questions suited to year 6 students. This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it ...
Maths at Home Summer Challenges 2024. menu search. Teachers ... Students expand_more. Primary; Secondary; Post-16; Parents expand_more. Early Years; Primary; Secondary; Post-16; Problem-solving Schools; About NRICH expand_more. About us; Impact stories; Support us; Our funders ... We have found 51 NRICH Mathematical resources connected to NC Yr ...
Here are some of the Year 5 and 6 curriculum objectives that these Maths problem resources fulfil: Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098). Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291).