Understanding maths, not just doing maths…the Operation Maths way!

Operation Maths is a pioneering new maths programme for junior infants to sixth class.

Written by a team of six experienced teachers, Operation Maths is built on a concrete, pictorial, abstract approach, or CPA approach, (based on Jerome Bruner’s conception of the enactive, iconic and symbolic modes of representation) which research has consistently shown to be the most effective instructional approach to enable students to acquire a thorough understanding of the concepts required.

This blog post, and future posts, will explain some of the various features of the Operation Maths programme as well as outlining further ways in which this programme can be used to its full potential  to enable your students to truly understand maths, not just do it!

Background & Research

As authors, we researched, and were inspired by, the maths books and schemes used in those countries which are the highest-ranking internationally in relation to attainment in primary maths, for example Singapore, Hong Kong, Japan and Finland.

We also looked at best practice in New Zealand, Australia, Great Britain and the United States, as well as the recommendations of our own home-grown publications including the PDST handbooks, NCCA publications (e.g. Bridging Guidelines, Assessment Guidelines etc.) and programmes such as Aistear and Mata sa Rang.

Finally, this was blended with the requirements of our primary school curriculum, in order to create a scheme that is truly innovative in its approaches and strategies and the most forward-thinking maths programme currently available for the Irish market.

 

Programme Components

For pupils in infants to second class:

  • At School BookOperation Maths Junior End
  • At Home Book
  • FREE Pupil Assessment Booklet
  • FREE Mini-white board
  • FREE Frames (five, ten or twenty frame)

 

 

For pupils in third class to sixth class:

  • Pupils boSenior Endok
  • Discovery book
  • FREE Pupil Assessment Booklet
  • FREE Mini-white board
  • FREE place value manipulative

 

 

For teachers of adopting schools:

  • Resource BooksFREE Teacher copies of all the relevant pupil resources
  • FREE Teachers Resource Book (TRB) which contains all necessary plans, teaching strategies, photocopiables, games, starters etc.
  • FREE access to all of the Operation Maths digital resources on edcolearning.ie, including ebooks, editable plans, and a whole suite of custom made videos  and eManipulatives which greatly enhance the teaching and learning experience for both teachers and pupils.

Furthermore, Operation Maths is the most teacher-friendly  and child-friendly programme currently available.


Maths by Month – October (updated 2021)

Category : Uncategorized

Welcome to the second installment in this year’s Maths by Month posts, designed to explore the Operation Maths topics on a month-by-month basis.

As we journey together through the school year, Edco Primary Maths and the Operation Maths blog continues to support teachers, schools and families, along the way. Central to this is our Digging Deeper series of posts aimed at teachers and the extensive series of Dear Family posts, aimed at parents and families, supporting children’s mathematical development at home. In addition, for teachers who want to find out more about the Operation Maths program, check out the About Operation Maths posts.

HINT: To ensure you don’t miss out on any future blog-posts, please subscribe to the Operation Maths blog via email, on the top right hand of this page.
Another way to keep up to date an all new maths-related developments is to like/follow the Edco Primary Maths page on Facebook and/or Twitter 

Operation Maths for Junior Infants to Sixth Class:

HINT: Teachers of Infants to Second Class – don’t forget to use the Operation Maths Assessment Records on excel for recording and collating the End of October Assessments

To access lists of relevant links and online resources, navigate towards the end of the accompanying Dear Family posts, for a whole suite of suggestions, organised into approximate class levels.

Don’t forget that integrated with your digital pupil books, are numerous custom-made digital resources to support each maths topic. Just click any of the hyper links while viewing the digital book (see example of purple icon below) to bring you direct to the relevant resource.

TIP! If there are any digital resources for a particular page, they will also be briefly given and described in the footer of that page (both print and digital books). 

HINT: If you are new to Operation Maths this year or have changed class level, be sure to check out the Quick Start Guide to the Operation Maths books and the companion Quick Start Guide to the Operation Maths Digital Resources. Don’t forget that Operation Maths also has you covered for planning whether you’re teaching a single class or multi-class. 

Other suggestions for October:

  • The October plan for third to sixth classes has deliberately allowed for a free week, to enable teachers to engage with Maths Week, held every year at this time. This year, Maths Week will run from 16-24 October, and while it will be a very different celebration this year, with no public gatherings, it will still be possible to participate virtually. So why not start to consider now, how your school might get involved in this national celebration of maths, and don’t forget to register your school at the link above. Check out their resources, including problem solving, puzzles, acmhainní as gaeilge, and their resource packs by class level also. You can also follow these links below, from previous Maths Weeks, to find out more about Maths Art (which, coincidentally, links very well with October Operation Maths for 3rd and 4th classes i.e. tessellations in 2D shapes), Maths and history and code breaking.
  • You could also make Maths Week become a game-themed week in your class. Teachers of third to sixth classes could use the Games Bank in the Operation Maths TRB. Teachers of infants to second classes can use any of the games listed in the short-term plans in their TRBs.
  • Another option for Maths Week, if you didn’t already do it in September, is Jo Boaler’s Week of Inspirational Maths. Click on the link for an overview of the activities in Week of Inspirational Math, and scroll down to the bottom of the page to access all the resources; Kindergarten roughly aligns with Infants, Grade 1 and 2 with 1st & 2nd classes, and Grades 3-5 roughly align with 3rd-6th classes.
  • Other STEM projects to consider during October:

We’re here to help! If you have any questions on Operation Maths, Number Facts or anything related to primary maths over the course of the school year, please PM or contact Edco Primary Maths via Facebook and/or Twitter 


Maths by Month – September (updated 2021)

Category : Uncategorized

Maths by Month is back!

As we embark on this new school year, and with all the possibilities that it may bring, rest assured that Edco Primary Maths and the Operation Maths blog will continue to support teachers, schools and families, along the way.

Central to this will be our Digging Deeper series of posts aimed at teachers and the extensive series of Dear Family posts, aimed at parents and families, supporting children’s mathematical development at home. In addition, for teachers who want to find out more about the Operation Maths program, check out the About Operation Maths posts.

HINT: To ensure you don’t miss out on any future blog-posts, please subscribe to the Operation Maths blog via email, on the top right hand of this page.
Another way to keep up to date an all new maths-related developments is to like/follow the Edco Primary Maths page on Facebook and/or Twitter 

Operation Maths for Junior Infants to Sixth Class:

To access lists of relevant links and online resources, navigate towards the end of the accompanying Dear Family posts, for a whole suite of suggestions, organised into approximate class levels.

Don’t forget that integrated with your digital pupil books, are numerous custom-made digital resources to support each maths topic. Just click any of the hyper links while viewing the digital book (see example of purple icon below) to bring you direct to the relevant resource.

TIP! If there are any digital resources for a particular page, they will also be briefly given and described in the footer of that page (both print and digital books). 

HINT: If you are new to Operation Maths this year or have changed class level, be sure to check out the Quick Start Guide to the Operation Maths books and the companion Quick Start Guide to the Operation Maths Digital Resources
Don’t forget that Operation Maths also has you covered for planning whether you’re teaching a single class or multi-class. 

Other suggestions for September:

  • Check out the “Maths and me” attitudes questionnaire, situated after the last assessment in the Operation Maths Pupil Assessment booklet for 3rd to 6th classes. Suggest to the children that they fill this using a particular colour on one of the first days of the school year to be then revisited later in the year. At this point, the children can again record their attitudes in a different colour and reflect upon any changes they made, if any.
  • Maths about me: another great activity for the start of a new school year. The children write facts about themselves that are appropriate to their ability eg height, age, shoe size, telephone number, distance from school (use google maps), time that they get up or go to bed etc. This can be recorded on the inside front cover of the discovery book, filled in on a pre-made template from the internet, used to make a large class display or even become a more complex problem solving activity in the more senior classes.
  • The Math in Learning Names: Another one for kick-starting the year; make learning names easier (for both you as the teacher, and for the other students) with these quick and fast sorting ideas, which incorporate maths and language features, such as vowels, syllables etc.
  • Inspire your class for the year ahead: Most people have this belief that there is such a thing as a maths brain, a belief which Jo Boaler, among others, strongly challenges. Since 2015, in conjunction with her youcubed team at Stanford University, they have put together resources, videos etc for a Week of Inspirational Maths. They now have lessons and activities aimed at infants to 6th, as well as second level. Click on the link for an overview of the activities in Week of Inspirational Math, and scroll down to the bottom of the page to access all the resources; Kindergarten roughly aligns with Infants, Grade 1 and 2 with 1st & 2nd classes, and Grades 3-5 roughly align with 3rd-6th classes.
  • New year, new initiative! Number Talks is an excellent maths methodology that is gaining traction globally, and more recently, nationally thanks to the promotion of the PDST. Better still, the rationale behind it aligns itself very closely with the underlying principle of Operation Maths, that is teaching children to understand maths, not just do maths. To find out more about number talks and to access a whole suite of ready-made resources for all class levels just click on the link above.
  • Maths Week (10-18 October) will all too quickly be upon us! And while it will be a very different celebration this year, with no public gatherings, it will still be possible to participate virtually. So why not start to consider now, how your school might get involved in this national celebration of maths, and don’t forget to register your school.

We’re here to help!
If you have any questions on Operation Maths, Number Facts or anything related to primary maths over the course of the school year, please PM or contact Edco Primary Maths via Facebook and/or Twitter 

Operation Maths for Junior Infants to Sixth Class:

To access lists of relevant links and online resources, navigate towards the end of the relevant Dear Family posts, for a whole suite of suggestions, organised into approximate class levels.

Don’t forget that integrated with your digital pupil books, are numerous custom-made digital resources to support each maths topic. Just click any of the hyper links while viewing the digital book (see example of purple icon below) to bring you direct to the relevant resource.

TIP! If there are any digital resources for a particular page, they will also be briefly given and described in the footer of that page (both print and digital books). 

HINT: If you are new to Operation Maths this year or have changed class level, be sure to check out the Quick Start Guide to the Operation Maths books and the companion Quick Start Guide to the Operation Maths Digital Resources
Don’t forget that Operation Maths also has you covered for planning whether you’re teaching a single class or multi-class. 

Other suggestions for September:

  • Check out the “Maths and me” attitudes questionnaire, situated after the last assessment in the Operation Maths Pupil Assessment booklet for 3rd to 6th classes. Suggest to the children that they fill this using a particular colour on one of the first days of the school year to be then revisited later in the year. At this point, the children can again record their attitudes in a different colour and reflect upon any changes they made, if any.
  • Maths about me: another great activity for the start of a new school year. The children write facts about themselves that are appropriate to their ability eg height, age, shoe size, telephone number, distance from school (use google maps), time that they get up or go to bed etc. This can be recorded on the inside front cover of the discovery book, filled in on a pre-made template from the internet, used to make a large class display or even become a more complex problem solving activity in the more senior classes.
  • The Math in Learning Names: Another one for kick-starting the year; make learning names easier (for both you as the teacher, and for the other students) with these quick and fast sorting ideas, which incorporate maths and language features, such as vowels, syllables etc.
  • Inspire your class for the year ahead: Most people have this belief that there is such a thing as a maths brain, a belief which Jo Boaler, among others, strongly challenges. Since 2015, in conjunction with her youcubed team at Stanford University, they have put together resources, videos etc for a Week of Inspirational Maths. They now have lessons and activities aimed at infants to 6th, as well as second level. Click on the link for an overview of the activities in Week of Inspirational Math, and scroll down to the bottom of the page to access all the resources; Kindergarten roughly aligns with Infants, Grade 1 and 2 with 1st & 2nd classes, and Grades 3-5 roughly align with 3rd-6th classes.
  • New year, new initiative! Number Talks is an excellent maths methodology that is gaining traction globally, and more recently, nationally thanks to the promotion of the PDST. Better still, the rationale behind it aligns itself very closely with the underlying principle of Operation Maths, that is teaching children to understand maths, not just do maths. To find out more about number talks and to access a whole suite of ready-made resources for all class levels just click on the link above.
  • Maths Week (16-24 October) will all too quickly be upon us! And while it will be a very different celebration this year, with no public gatherings, it will still be possible to participate virtually. So why not start to consider now, how your school might get involved in this national celebration of maths, and don’t forget to register your school.

We’re here to help! If you have any questions on Operation Maths, Number Facts or anything related to primary maths over the course of the school year, please PM or contact Edco Primary Maths via Facebook and/or Twitter 


Maths by Month – June (updated 2021)

Category : Uncategorized

The final month of the school year is almost upon us, and as usual, this heralds the last installment in this year’s series of posts designed to explore the Operation Maths topics on a month-by-month basis.

As we move towards the end of this challenging school year, rest assured that Edco Primary Maths and the Operation Maths blog will continue to support teachers, schools and families, via:

  • Dear Family, our ever-expanding series of posts, aimed at parents and families, supporting children’s mathematical development at home
  • Digging Deeper, our series of posts, aimed at teachers, providing deeper insights into the underlying theory, approaches and pedagogies behind the various maths topics
  • About Operation Maths posts, for teachers who want to find out more about the Operation Maths program itself.

Book lists not finalised yet? Please consider Operation MathsNumber Facts, Bua na Cainte, Exploring Spelling, Let’s Talk Literacy, Explore with Me and My Learner ID. Click on the links for more information and to view sample pages from each program and/or contact your local Edco reps for samples.

HINT: To ensure you don’t miss out on any future blog-posts, please subscribe to the Operation Maths blog via email, on the top right hand of this page.
Another way to keep up to date an all new maths-related developments is to like/follow the Edco Primary Maths page on Facebook and/or Twitter 

Operation Maths for Junior Infants to Sixth Class:

  • Junior Infants: will be reinforcing their understanding of the numbers 0-5 via the topic of money.
  • Senior Infants: Further Counting and Numeration, Comparing and Ordering and Combining and Partitioning of numbers to 10; patterns (different arrays of the same number, colour patterns, number patterns, odd and even numbers); time (one-hour intervals).
  • First Class: Weight; Patterns; 3-D objects (in particular, connecting their understanding of 3-D objects to their understanding of 2-D shapes)
  • Second Class:  More Place Value to 199; Area; Lines and Angles (revisiting half turns and quarter turns)
  • Third to sixth classes: Operation Maths 3-6 is specifically structured so that the programme can be completed by the end of May, thus covering all of the topics in advance of the standardised testing.
    Depending on your own specific school circumstances, you may find yourself looking for inspiration to fill the maths lessons from now until the end of month. Whether you’re an Operation Maths user or not, there are a whole suite of suitable ideas for June maths on this blog post.

Teachers of Infants to Second Class: if you choose to administer the Operation Maths End of June Assessments, don’t forget to check out the Excel Record Spreadsheets to accompany the assessments in the Assessment Booklets; if you have any suggestions for how to improve these, please leave them here.

To access lists of relevant links and online resources (eg lessons, videos, games etc), navigate towards the end of the relevant Dear Family posts, for a whole suite of suggestions, organised into approximate class levels.

Don’t forget that integrated with your digital Operation Maths pupil books, are numerous custom-made digital resources to support each maths topic. Just click any of the hyperlinks while viewing the digital book to bring you direct to the relevant resource.

TIP! If there are any digital resources for a particular page, they will also be briefly given and described in the footer of that page (both print and digital books). 

HINT: If you are new to Operation Maths this year or have changed class level, be sure to check out the Quick Start Guide to the Operation Maths books and the companion Quick Start Guide to the Operation Maths Digital Resources. Don’t forget that Operation Maths also has you covered for planning whether you’re teaching a single class or multi-class. 

Other suggestions for June:

  • We have a separate post entitled Maths for June where there is a whole suite of ideas, that are ideal as end-of-year maths, whether you’re an Opeation Maths user of not.
  • Maths outside: not only is this typically the time of the year when teachers are bringing their classes outdoors for learning, but this yer we are being encouraged to be outside as much as possible.
    • Outdoor Classroom Day was May 20 2021. This global event promotes the use of the outdoors to teach, explore and learn. If you missed this day, you might like to do an Outdoor Classroom Day in June instead. There are lots of resources with suggestions for all subject areas, including maths, https://outdoorclassroomday.com/.
    • For more ideas for outdoor maths you could also check out:
      • the Maths Around Us activity ideas in your Operation Maths book
      • the Maths Around Us videos accessible at https://www.edcolearning.ie/
      • this post, Maths fun in the sun
      • Stem Smaointe 8 from the PDST


Dear Family, your Operation Maths guide to Spatial Awareness

Category : Uncategorized

Dear Family, below is a brief guide to understanding the topic of spatial awareness as well as some practical suggestions as to how you might support your children’s understanding at home. Also below, are a series of links to digital resources that will help both the children, and you, learn more about spatial awareness. The digital resources are organised according to approximate class level:

Understanding Spatial Awareness

Spatial awareness is being able to describe the position of something/someone in relation to another, using words and/or gestures, and being able to represent spaces and locations using models and/or drawings. For example, it includes being able to tell another where to find shoes, books etc., and it would also include being able to draw a simple map for someone with directions for how to get somewhere.

This maths topic has a lot in common with language, communication and geography skills. The concepts of spatial awareness also lay the foundations for all aspects of geometry, be it at upper primary, secondary or an even higher level.

Essentially your children need to develop an understanding that:

  • The spatial relationships between objects and places can be described and represented, for example using positional words (such as over, under, up, down, on, beside, in, above, below, near, far, right, left), and directional words (go straight, go through, stop, turn left, turn right, clockwise, anticlockwise).
  • These relationships may be viewed, described and represented differently depending on the perspective of the viewer (in particular, consider left and right; if we’re facing each other and I hold up my right hand, it is opposite your left hand).
  • Developing the ability to mentally visualise the representations will enhance a person’s ability to picture how a shape will look when rotated when turned, flipped etc. Therefore, we should encourage our children to imagine or picture places and locations e.g. “Think: when we go to Granny’s house, do we turn right or left at the end of our road/street/driveway?”

Practical Suggestions for Supporting Children

  • When doing things together at home, or when out and about, try to use the language of spatial awareness as much as possible with your child, for example using positional words (such as over, under, up, down, on, beside, in, above, below, near, far, right, left), and directional words (go straight, go through, stop, turn left, turn right, clockwise, anticlockwise).
  • Always remember that most spatial language depends on the perspective and direction/location of the person using it; an object could be very close to me but far away from you. Of all the spatial words, left and right are possibly the most confusing: an object to my right, will be to your left if you are facing me. Therefore, be especially mindful of using these words correctly with your child. Click here to read more on the difficulties with left and right.
  • Play, play, play! Games and puzzles such as jigsaws, tangram puzzles, using mazes, grids and board games all promote the development of spatial skills. Twister is a particularly good example of a suitable game.
  • Children often find looking at maps really interesting! When out and about or travelling somewhere, use maps to track where you are going. If you visit a tourist attraction (e.g. zoo, forest park etc.), let your child have a copy of the accompanying map/guide so that he/she can be responsible for directing the family around. Other ideal outdoors activities include treasure hunts and outdoor mazes.
  • Look at Google Maps. Find your local area in satellite mode; can your child(ren) pick out any familiar features? Can they trace their regular journeys to the school, shops, friend’s houses etc?
  • Coding is a STEM area that develops spatial awareness and the ability to mentally visualise various representations. Your child could explore basic coding via simple coding programs and apps, such as Lightbot and Scratch Jr.

Digital Resources for Infant Classes

White Rose Geometry – Position & Direction: a series of lessons on position and direction for year 1. 

 


Spatial Awareness: A series of video lessons from Matholia including Introduction to Positions and Naming Left and Right

 


FCPS – Positional Words: An instructional video

 

 


Happy Numbers Pre-Kindergarten – Above and Below: Pupils could start the activities in Module 2, Topic A, and then progress to the activities in Kindergarten, Module 2 also. 

 

 


Right or Left: Which way is the animal facing?

 

 


I Know It! A game on Position and Location and another on Right and Left.

 

 


Math Games – Geometry: Select any of the positions games from Junior Infants or Senior Infants

 


IXL | Maths and English Practice

Geometry: a selection of games from ixl.com. Select any of the games from Junior Infants, Section F and Senior Infants, Section I. You can do a number of free quizzes each day without having a subscription. (Please note that the class levels given do not always align accurately with the content of the Irish Primary Curriculum)

 

Digital Resources for First & Second Classes

White Rose Geometry – Position & Direction: a series of lessons on position and direction for year 1. These could be followed up with other lessons in year 2, week 1 and week 2


Spatial Awareness: A series of video lessons from Matholia including Introduction to Positions, Naming Left and Right, Clockwise and Anticlockwise, Turns 1 and Turns 2.

 


FCPS – Positional Words: An instructional video

 

 


Turns on a compass: Compare the start and end positions of the dial and decide how it turned.

 


A very basic introduction to rotation. http://nrich.maths.org/5560 ...Turn the man: Explore how many times you need to turn the man to match the images. 

 


Right or Left: Which way is the animal facing?

 

 

 


I Know It! A game on Position and Location and another on Right and Left.

 

 


Math Games – Geometry: Select any of the positions games from First Class or Second Class

 


IXL | Maths and English Practice

Geometry: a selection of games from ixl.com. Select any of the games from First Class, Section O. You can do a number of free quizzes each day without having a subscription. (Please note that the class levels given do not always align accurately with the content of the Irish Primary Curriculum)

 


Maths by Month – May (updated 2021)

Category : Uncategorized

Welcome to the May installment of Maths by Month. Summer is officially here, made even more real by some of the recent spells of fine weather. Hopefully we get to enjoy more good weather this coming month!

As we move towards testing season, and the end of this challenging school year, rest assured that Edco Primary Maths and the Operation Maths blog will continue to support teachers, schools and families, via:

  • Dear Family, our ever-expanding series of posts, aimed at parents and families, supporting children’s mathematical development at home
  • Digging Deeper, our series of posts, aimed at teachers, providing deeper insights into the underlying theory, approaches and pedagogies behind the various maths topics
  • About Operation Maths posts, for teachers who want to find out more about the Operation Maths program itself.

HINT: To ensure you don’t miss out on any future blog-posts, please subscribe to the Operation Maths blog via email, on the top right hand of this page.
Another way to keep up to date an all new maths-related developments is to like/follow the Edco Primary Maths page on Facebook and/or Twitter 

Operation Maths for Junior Infants to Sixth Class:

Teachers of Infants to Second Class: if you chose to administer the Operation Maths End of April Assessments, don’t forget to check out the Excel Record Spreadsheets to accompany the assessments in the Assessment Booklets; if you have any suggestions for how to improve these, please leave them here.

To access lists of relevant links and online resources (eg lessons, videos, games etc), navigate towards the end of the relevant Dear Family posts, for a whole suite of suggestions, organised into approximate class levels.

Don’t forget that integrated with your digital Operation Maths pupil books, are numerous custom-made digital resources to support each maths topic. Just click any of the hyperlinks while viewing the digital book to bring you direct to the relevant resource.

TIP! If there are any digital resources for a particular page, they will also be briefly given and described in the footer of that page (both print and digital books). 

HINT: If you are new to Operation Maths this year or have changed class level, be sure to check out the Quick Start Guide to the Operation Maths books and the companion Quick Start Guide to the Operation Maths Digital Resources. Don’t forget that Operation Maths also has you covered for planning whether you’re teaching a single class or multi-class. 

Other suggestions for May:

  • May the Fourth Be With You! International Star Wars Day (May the fourth) is almost here!
  • Outdoor Classroom Day is May 20 2021. This global event encourages us to use the outdoors to teach, explore and learn. There are lots of resources with suggestions for all subject areas, including maths, https://outdoorclassroomday.com/.
  • For more ideas for outdoor maths you could also check out:
    • the Maths Around Us activity ideas in your Operation Maths book
    • the Maths Around Us videos accessible at https://www.edcolearning.ie/
    • this post, Maths fun in the sun
    • Stem Smaointe 8 from the PDST

We’re here to help! If you have any questions on Operation Maths, Number Facts or anything related to primary maths over the course of the school year, please PM or contact Edco Primary Maths via Facebook and/or Twitter 


Maths by Month – April (updated 2021)

Category : Uncategorized

Welcome to the April installment of Maths by Month. Spring is well and truly in the air, and summer is just around the corner!

Hopefully, face-to-face teaching will continue to be the norm for this month. But, even if distance learning at home returns, rest assured that Edco Primary Maths and the Operation Maths blog will continue to support teachers, schools and families, on both fronts, via:

  • Dear Family, our ever-expanding series of posts, aimed at parents and families, supporting children’s mathematical development at home
  • Digging Deeper, our series of posts, aimed at teachers, providing deeper insights into the underlying theory, approaches and pedagogies behind the various maths topics
  • About Operation Maths posts, for teachers who want to find out more about the Operation Maths program itself.

HINT: To ensure you don’t miss out on any future blog-posts, please subscribe to the Operation Maths blog via email, on the top right hand of this page.
Another way to keep up to date an all new maths-related developments is to like/follow the Edco Primary Maths page on Facebook and/or Twitter 

Operation Maths for Junior Infants to Sixth Class:

Teachers of Infants to Second Class: if you choose to administer the Operation Maths End of April Assessments, don’t forget to check out the Excel Record Spreadsheets to accompany the assessments in the Assessment Booklets; if you have any suggestions for how to improve these, please leave them here.

To access lists of relevant links and online resources, navigate towards the end of the relevant Dear Family posts, for a whole suite of suggestions, organised into approximate class levels.

Don’t forget that integrated with your digital Operation Maths pupil books, are numerous custom-made digital resources to support each maths topic. Just click any of the hyperlinks while viewing the digital book to bring you direct to the relevant resource.

TIP! If there are any digital resources for a particular page, they will also be briefly given and described in the footer of that page (both print and digital books). 

HINT: If you are new to Operation Maths this year or have changed class level, be sure to check out the Quick Start Guide to the Operation Maths books and the companion Quick Start Guide to the Operation Maths Digital Resources. Don’t forget that Operation Maths also has you covered for planning whether you’re teaching a single class or multi-class. 

Other suggestions for April:

  • April Fool! While April 1 fell during the Easter break this year, it’s never too late to celebrate a bit of silliness! For example, there are 125 sheep and 5 dogs in a flock. How old is the shepherd? Would your students spot straight away that this is unsolvable or will they try to calculate an answer? Take a look at how some of Robert Kaplinsky’s students tried to attack this.
  • Anthony from Mashup Math also has a selection of April Fool’s Day puzzles available from his blog, which could be shared with students at home.

We’re here to help! If you have any questions on Operation Maths, Number Facts or anything related to primary maths over the course of the school year, please PM or contact Edco Primary Maths via Facebook and/or Twitter 


Dear Family, your Operation Maths guide to Patterns and Sequences

Category : Uncategorized

Dear Family, given below is a brief guide to understanding the topic of patterns and sequences, as well as some practical suggestions as to how you might support your children’s understanding at home. Also below, are a series of links to digital resources that will help both the children, and you, learn more about patterns and sequences. The digital resources are organised according to approximate class level:

Junior Infants to Second Class
You can also find class specific tips at the back of your child’s Operation Maths At Home book, for infants to second class.

Understanding Patterns and Sequences

A pattern is a set of numbers, shapes, objects etc., arranged in a particular order, according to a particular rule. There are two main types of patterns:

  • Repeating patterns: (see image above) symbols, shapes, numbers etc., that repeat in a specific way eg ABC ABC ABC ABC… is a repeating pattern, the core of which is ABC because this is the smallest piece that repeats each time.
  • Increasing (growing) and decreasing (shrinking) patterns: An ordered set of shapes or numbers that are arranged according to a rule, eg 10, 9, 8, 7, 6, 5, …. is a decreasing (shrinking) pattern, where the numbers are going down by 1 each time (i.e. its rule is -1), whereas 5, 10, 15, 20, 25… is an increasing (growing pattern), where the numbers are going up by 5 each time (i..e its rule is +5). Often the word sequence is also used to describe an increasing or decreasing pattern, particularly if it is a pattern of numbers (see image below).

Patterns are all around us in life and in our homes, for example on clothes, curtains, fabrics, walls, tiles, furniture, animals, car tyres, photo frames, packaging, etc.

Two of the images above are of repeating patterns and one is a growing pattern…. but which is which?

In the early years of school, children are enabled to identify patterns that are around them, and to copy and/or extend them. They are also encouraged to create their own patterns using objects and shapes that are available.

As they get older, the children are enabled to examine patterns in more detail, for example to identify the core of repeating patterns and/or to identify the rule of growing/shrinking patterns (sequences).

With Operation Maths 5 and 6, children are enabled to explore more complex patterns and to use more advanced strategies to extend the patterns (see image below) as well as predicting trends etc., in real-life examples and data.

Practical Suggestions for Supporting Children

  • Draw your child’s attention to patterns around your home and in the wider environment:
    • Patterns on clothes, curtains, fabrics, tiles, animals, car tyres, photo frames, packaging, etc.
    • Patterns made with toys, building blocks, threading beads, lego, etc.
    • Number patterns in the environment, e.g. how the speedometer goes up in tens; that on many streets, the odd numbers are on the houses on one side of the street and the even numbers are on the other side; etc.
    • items that come in twos (hands, feet, shoes, gloves, socks etc), tens (eg fingers and toes; biscuits and bars in some packets) and fives (5 seats in a standard car).
  • When you spot a pattern, ask your child to tell you about it, what they notice etc. Can they tell you more about the type of pattern it is (e.g. repeating or growing/shrinking)
  • Do you know how to knit and/or crochet? Explore the structure of patterns together with your child.
  • Many puzzles and riddles are based on patterns and these are often widely available in newspapers, magazines, on the Internet, or you can often buy inexpensive puzzle books in discount stores. You could encourage your child to try to solve these and/or you could share and solve puzzles and riddles as a family.
  • Create pattern puzzles at home using materials around the house, and challenge your child to complete them; e.g. put out a fork, knife, spoon, knife, fork……, and ask your child to say what comes next.
  • Counting is a an essential skill required to understand, and explore number sequences. Any and all activities, that encourage your child to count in 1s, 2s, 10s, 5s etc., are very valuable. For more counting suggestions and ideas, please refer to the Dear Family Guide to Counting and Numeration.
  • Children in 5th and 6th classes will also looking at the order in which number sentences should be calculated. Referred to as the order of operations, in Operation Maths we use the mnemonic ‘Bless My Dear Aunt Sally!’ to remind the children how to calculate number sentences correctly i.e. we calculate each part in this order:
    1. Brackets
    2. Multiplication or Division (whichever occurs first, reading left to right)
    3. Addition or Subtraction (whichever occurs first, reading left to right)

Digital Resources for Junior and Senior Infants

White Rose Maths – Pattern: lessons for infant classes covering Pattern; scroll down to session 4 and 5 for videos and activities.

 


Distance Learning - FCPS - YouTubeFCPS – Patterns: videos for Kindergarten on Patterns Everywhere and Creating Different Patterns

 

 


Games | Sesame Street | PBSKidsGrover’s Winter Games: Choose the snowboarding game to complete shape patterns. 

 


Peep's Feet | Games | Kids | PeepPeep’s Feet – Patterns: Help Peep and friends by completing the repeating patterns.

 


ARTHUR | Games . Planet Pal | PBS KIDSPlanet Pal: What colour dog comes next in the pattern? Simple game suitable for infants.

 


Shape!- Maths – 2SF's Class Blog

Top Marks – Shape Patterns: sequencing game where you need to complete the pattern of different coloured 2D shapes. It is a multiple choice game with three levels of difficulty. 


 

Manipulatives | CoolMath4KidsPattern Blocks: Make numerous designs, pictures etc with these interactive pattern blocks. You can also choose a puzzle to complete.

 


Polypad – Virtual Manipulatives – MathigonMathigon Polypad: Use this excellent tool to create, copy and extend patterns. Select Tiles > Geometry and then drag out  your own choice of tiles make patterns.


The Gingerbread Man Game - Counting, Matching and Ordering game ...The Gingerbread Man Game: Play the ordering game for numbers up to 5, and up to 10.

 


A caterpillar game!Caterpillar Ordering: Choose between ordering (where you put the given numbers in order) or sequencing (where you complete the sequence with the correct numbers from those given).  Has various levels including 1-5, 1-10 and 1-20.


Coconut Ordering - Comparing Numbers, Prices, Mass, Length and ...Coconut Ordering: Hit the numbers in order of size. Select ‘numbers’ and then choose from numbers up to 10 or up to 20.  

 


Grade 5 Math - Online Enrichment Activities

Happy Numbers: pupils in Senior Infants could work through the pattern activities (patterns in adding 0 and 1) from Module 4, Topic H. 

 


Interactive Math Lesson | Place Value (Up to 99)

I Know it – Patterns: A practice game

 


SplashLearn for Android Devices Released - IssueWire

Splash Learn – Patterns: Practice how to Extend Number Patterns (rule given), Extend Number Patterns (rule not given) and Generate Numerical Patterns.

 


IXL | Maths and English Practice

Patterns: a selection of practice games from ixl.com. You can do a number of free quizzes each day without having a subscription. Start with the second class games and work up through the activities (Please note that the class levels used here don’t exactly match the class level content in the Irish maths curriculum). 


Math Games – Patterns: Selection of practice games; choose your class level

 

Digital Resources for First and Second Classes

White Rose Maths: a series of lessons on Counting in 2s and 5s (Year 1), Pattern in Shapes (Year 1), Counting in 2s, 5s, 10s and 3s (Year 2), Pattern in 2-D Shapes (Year 2), Pattern in 3-D Shapes (Year 2). 

 


Distance Learning - FCPS - YouTube

FCPS – Patterns: videos on Repeating Patterns 1, Repeating Patterns 2, Growing Patterns 1, Growing Patterns 2

 

 


Matholia: A playlist of video lessons on  Patterns in Numbers; videos 1-6 are suited to first and second classes. Also available is a video on Patterns with 2-D shape and Patterns with 3-D Solids

 


Khan Academy: A series of videos and practice questions exploring Even and Odd Numbers (Grade 2). You can also register for a free Khan Academy account to record your progress and explore other topics/grades.  


Shape!- Maths – 2SF's Class Blog

Top Marks – Shape Patterns: sequencing game where you need to complete the pattern of different coloured 2D shapes. It is a multiple choice game with three levels of difficulty. 


Manipulatives | CoolMath4KidsPattern Blocks: Make numerous designs, pictures etc with these interactive pattern blocks. You can also choose a puzzle to complete.

 


Polypad – Virtual Manipulatives – MathigonMathigon Polypad: Use this excellent tool to create, copy and extend patterns. Select Tiles > Geometry and then drag out  your own choice of tiles make patterns.

 


A caterpillar game!

Caterpillar Ordering: Choose between ordering (where you put the given numbers in order) or sequencing (where you complete the sequence with the correct numbers from those given).  Has various levels including 1-100.


Coconut Ordering - Comparing Numbers, Prices, Mass, Length and ...

Coconut Ordering: Hit the numbers in order of size. Select ‘numbers’ and then choose from numbers up to 10, up to 20, up to 100 (in tens) or up to 100 (any number).


Grade 5 Math - Online Enrichment Activities

Happy Numbers: First class pupils could work through the pattern activities (patterns in adding 0 and 1) from Module 4, Topic H. Second class pupils could do the activities on the Meaning of Even and Odd Numbers, Module 6, Topic D

 


Compare and order different numbers and metric quantities involving length,  mass, capacity and mo… | Math games for kids, Free math games, Kindergarten  math numbersOdd & Even: A selection of games to identify the odd and even numbers: Coconut Odd or Even, Fruit Splat Odd or Even, Carroll Diagrams Odd and Even.


Errors on a Venn Diagram - MathsframeMaths Frame – Errors on a Venn Diagram: Identify the numbers which have been placed in the wrong position on the Venn diagram and drag them to their correct place. Choose the criteria of odd or even numbers.


Interactive Math Lesson | Place Value (Up to 99)

I Know it: A selection of practice games including Patterns, Odd & Even Numbers (Grade 1), Patterns in Tables (Grade 1), Odd & Even Numbers (Grade 2), Patterns in Tables (Grade 2)

 


SplashLearn for Android Devices Released - IssueWire

Splash Learn – Patterns: Practice how to Extend Number Patterns (rule given), Extend Number Patterns (rule not given) and Generate Numerical Patterns.

 


IXL | Maths and English Practice

Patterns: a selection of practice games from ixl.com. You can do a number of free quizzes each day without having a subscription. Start with the second class games and work up through the activities (Please note that the class levels used here don’t exactly match the class level content in the Irish maths curriculum). 


Math Games – Patterns: Selection of practice games; choose your class level

 

Digital Resources for Third and Fourth Classes

White Rose Maths – Spot the Pattern: a lesson for Year 3

 

 


Matholia: A playlist of video lessons on  Patterns in Numbers; videos 7-9 are suited to third and fourth classes. Also available is a video on Patterns with 2-D shape and Patterns with 3-D Solids

 


Khan Academy: A series of videos and practice questions exploring Patterns in Arithmetic (Grade 3) and Factors Multiples and Patterns (Grade 4) You can also register for a free Khan Academy account to record your progress and explore other topics/grades.    


Shape!- Maths – 2SF's Class Blog

Top Marks – Shape Patterns: sequencing game where you need to complete the pattern of different coloured 2D shapes. It is a multiple choice game with three levels of difficulty. 


Manipulatives | CoolMath4KidsPattern Blocks: Make numerous designs, pictures etc with these interactive pattern blocks. You can also choose a puzzle to complete.

 

 


Polypad – Virtual Manipulatives – MathigonMathigon Polypad: Use this excellent tool to create, copy and extend patterns. Select Tiles > Geometry and then drag out  your own choice of tiles make patterns.

 


A caterpillar game!

Caterpillar Ordering: Choose between ordering (where you put the given numbers in order) or sequencing (where you complete the sequence with the correct numbers from those given).  Has various levels including 1-100.


Sequences - Tablet Version - MathsframeMaths Frame – Sequences: Find the correct number in a sequence. Lots of choice over level, count forwards or back, count in whole numbers, multiples of 10, multiples of 100, decimals and fractions. 


Grade 5 Math - Online Enrichment Activities

Happy Numbers Third Grade: Third and fourth class pupils could work through the activities from Module 3, Topic E. 

 

 

 


Interactive Math Lesson | Place Value (Up to 99)

I Know it: A selection of practice games including Odd & Even Numbers (Grade 2), Patterns in Tables (Grade 2), Odd & Even Numbers (Grade 3)

 


SplashLearn for Android Devices Released - IssueWire

Splash Learn – Patterns: Practice how to Extend Number Patterns (rule given), Extend Number Patterns (rule not given) and Generate Numerical Patterns.

 

 

 


IXL | Maths and English Practice

Patterns: a selection of practice games from ixl.com. You can do a number of free quizzes each day without having a subscription. Start with the second class games and work up through the activities (Please note that the class levels used here don’t exactly match the class level content in the Irish maths curriculum). 


Math Games – Patterns: Selection of practice games; choose your class level

 


Mathematics is Fun - YouTubePatterns & Sequences: information on both of these topics from Maths is Fun. 

 

 


 

Digital Resources for Fifth and Sixth Classes

White Rose Maths: Number Sequences with Fractions (Year 5), Find a Rule (Year 6) and Order of Operations (Year 6).

 

 


Khan Academy: A series of videos and practice questions exploring Number Patterns (Grade 5) and Order of Operations (Grade 6). You can also register for a free Khan Academy account to record your progress and explore other topics/grades.    


Sequences - Tablet Version - MathsframeMaths Frame – Sequences: Find the correct number in a sequence. Lots of choice over level, count forwards or back, count in whole numbers, multiples of 10, multiples of 100, decimals and fractions. 


Use brackets to order operations - MathsframeMaths Frame – Order of Operations: Use a calculator to carry out calculations with more than one step using brackets and the memory.

 


Function Builder 1.0.23Function Builder: Use this virtual function machine to explore how to change an input to a different output. You can also choose the mystery option, (where you have to work out the rule i.e. how the input is being changed each time) and/or a patterns option.

 


Grade 5 Math - Online Enrichment Activities

Happy Numbers Fifth Grade: Fifth class pupils, and above, could go to the activities for Fifth Grade and work through the activities in Module 1, Topics A and B.  

 

 


SplashLearn for Android Devices Released - IssueWire

Splash Learn – Patterns: Practice how to Extend Number Patterns (rule given), Extend Number Patterns (rule not given) and Generate Numerical Patterns.

 

 


Mashup Math - YouTubeMashup Math – Multiples of 10 and Place Value Patterns: A video lesson that introduces this concept.

 

 

 


IXL | Maths and English Practice

Patterns: a selection of practice games from ixl.com. You can do a number of free quizzes each day without having a subscription. Start with the second class games and work up through the activities (Please note that the class levels used here don’t exactly match the class level content in the Irish maths curriculum). 


Math Games – Patterns: Selection of practice games; choose your class level. Also available are practice games on Input/Output tables

 


Mathematics is Fun - YouTube

Patterns & Sequences; Order of Operations: information on these topics from Maths is Fun. 

 

 


 


Dear Family, your Operation Maths guide to Number Theory

Category : Uncategorized

Dear Family, below is a brief guide to understanding the topic of number theory (fifth and sixth classes only), as well as some practical suggestions as to how you might support your children’s understanding at home. Also below, are a series of links to digital resources that will help both the children, and you, learn more about number theory.

Junior Infants to Second Class
You can also find class specific tips in the Operation Maths Dear Family letters for fifth and sixth class.

Understanding Number Theory

Number Theory in primary school, is about exploring the shapes of numbers, and how numbers can be visually arranged and represented. It is largely concerned with subcategories of whole numbers:

  • odd and even numbers, and what is the resulting number when you add or multiply odd and/or even numbers
  • factors and multiples, and how to identify all the possible factor pairs e.g. if you lay out 12 playing cards on a table what are the different ways to arrange them to make a rectangular shape? 1 row of 12, 2 rows of 6, 3 rows of 4 etc
  • prime and composite numbers; prime numbers have only one factor pair, the prime number x 1 eg 13 playing cards can only be arranged as 1 row of 13 or 13 rows of 1, which is the same factor pair (1, 13)
  • square numbers, triangular numbers and rectangular numbers; some numbers can take the shape of a square (eg 4, 9, 16, 25 etc) and some can take the shape of a triangle (1, 3, 6, 10, 15, 21 etc)
  • square roots and exponential numbers.

While Operation Maths 5, for fifth class, is the first book to have a chapter devoted to this topic, the children will have explored elements of this topic in previous classes:

  • odd and even numbers were explored formally in Operation Maths 1, 2 and 3
  • the language of factors and multiples is used in Operation Maths 3, 4, 5 and 6 as part of the multiplication and division chapters.

The emphasis in Operation Maths is on the child being able to build, manipulate and represent numbers in ways and contexts that are relatable. This will help the child to be better able to visualise numbers, manipulate numbers and understand the connections between them.

Practical Suggestions for all Children

  • Draw your child’s attention to these number types wherever they or you encounter examples of them.
  • Use materials around your home to help make these concepts more real to your child(ren):
    • Use pairs of socks, shoes, gloves etc to model addition, subtraction, multiplication and division with odd and even numbers.
    • Lay out playing cards, coins, poker chips, plastic cups/plates, lego pieces, toy building blocks etc to represent certain numbers and to explore the shapes that can be made .
    • Examine square tiles and/or paving slabs that maybe around your home, how many of these squares together are needed to make a bigger square shape? Are there any patterns? Can you show/build/calculate the first 10 square or triangular numbers?

Digital Resources for Fifth and Sixth Classes

White Rose Maths: a series of lessons for Year 5 covering Multiples, Factors and Primes, followed by Square and Cube Numbers. For Year 6 there are lessons that include Factors & Common Factors and Multiples, Primes, Square and Cube Numbers.


Matholia: A number of video lessons that include An Introduction to Multiples and An Introduction to Factors 

 

 


Mashup Math - YouTube

Mashup Math – Square Numbers and Square Roots: A video lesson that introduces this concept.

 

 


Khan Academy: A series of videos and practice questions exploring Odd & Even Numbers (Grade 3), Factors, Multiples, Prime and Composite Numbers (Grade 4) and Intro to Exponents (Grade 6). You can also register for a free Khan Academy account to record your progress and explore other topics/grades.  


Polypad – Virtual Manipulatives – MathigonMathigon Polypad: Use this excellent tool to explore and identify factors of any number, and therefore identify if the number is prime or composite. Can also be used to explore square numbers. Select Tiles > Numbers > Number Tiles and drag out tiles to represent a number. Watch here for a video guide (pupils in 5th and 6th class should start with numbers less than 20 first, and then explore bigger numbers when ready)


Compare and order different numbers and metric quantities involving length,  mass, capacity and mo… | Math games for kids, Free math games, Kindergarten  math numbersOdd & Even: A selection of games to identify the odd and even numbers; these might serve useful as revision: Coconut Odd or Even, Fruit Splat Odd or Even, Carroll Diagrams Odd and Even.


Errors on a Venn Diagram - MathsframeMaths Frame – Errors on a Venn Diagram: Identify the numbers which have been placed in the wrong position on the Venn diagram and drag them to their correct place. Choose one or two criteria: to arrange numbers by whether they are odd or even, or multiples of a given number, or prime or square numbers.


Multiples and Factors is a fun mental maths game for children, which  focuses on finding the Lowest C… | Factors and multiples, Common multiples, Math  games for kidsMultiples and Factors: multiple choice game, finding the Lowest Common Multiple (LCM) or the Highest Common Factor (HCF). Questions increase in difficulty depending on accuracy.  


KS2 Maths Invaders - MathsframeMaths Frame – Maths Invaders: Shoot the spaceship with the correct answer and dodge the incoming fire. Select play game and then scroll down to select Recognising Multiples, Factors, Prime, Square and Cube Numbers.


ArithmeticPhET – Factors: Choose the Factors option to identify the factors of given numbers

 


Sieve of Eratosthene: Use this interactive sieve to identify all the prime  numbers from 1-400 http://www.hbmeyer.de/eratclass.htmSieve of Eratosthene: Use this interactive sieve to remove multiples, and therefore, identify all the prime numbers from 1-400


Transum MathematicsTransum – Factor Trees: Complete the Factor Trees to identify the prime factors. Other related activities can be chosen from the Tabs at the top, including Sieve of Eratosthenes, Pick the Primes, HCF and LCM

 


Richardson Endowed PrimaryHit the Button: Choose the Square Numbers option

 

 


CubesCubes: use this virtual tool to create models of various cubed numbers; click on the settings cog to input your own dimensions

 


Maths Fishing - Multiplication - MathsframeMaths Fishing – Square and Cube Numbers: Practise your multiplication skills. Choose game 18, squared numbers, or 19, cubed numbers. A similar game to this is Archery Arithmetic; again, choose game 18 and/or 19 


That Quiz: Use the factors quiz to practice identifying prime and composite numbers, prime factors, HCF and LCM. Use the exponents quiz to practice roots and exponents.

 


SplashLearn for Android Devices Released - IssueWireSplash Learn – Algebra Games: These games include Factors, Multiples, Prime and Composite Numbers

 

 


IXL | Maths and English Practice

Number Theory and Exponents: two sections of practice games from ixl.com. You can do a number of free quizzes each day without having a subscription. Start with the games just below, or at, your class level. 

 


Math Games: Practice games on Factors and Multiples, Prime and Composite Numbers, Square Roots. Choose your class level. 

 


Mathematics is Fun - YouTubeMath is Fun: Background information on even and odd numbers, factors and multiples, prime and composite numberssquare numbers and square roots and exponents

 



Dear Family, your Operation Maths guide to Decimals and Percentages

Category : Uncategorized

Dear Family, given below is a brief guide to understanding the topic of decimals and percentages, as well as some practical suggestions as to how you might support your children’s understanding at home. Also below, are a series of links to digital resources that will help both the children, and you, learn more about decimals and percentages. The digital resources are organised according to approximate class level:

Understanding Decimals and Percentages

Decimals, or decimal fractions, to give them their full title, are fractions of a whole amount, where the whole has been divided into ten parts (tenths), a hundred parts (hundredths), a thousand parts (thousandths) etc. They are typically written using a decimal point. This means that an amount that is the same value may be describes as a fraction, as a decimal fraction and as both, e.g.:

1/2 (1 half) = 5/10 (5 tenths) = 0.5 = 50/100 (50 hundredths) = 0.50 etc

Percentages are very closely related to both fractions and decimals: per cent means out of 100, therefore an amount of percent is the same as that amount of hundredths, e.g.:

25% (twenty five percent) = 25 hundredths = 25/100 = 0.25

In Operation Maths, the children are first formally introduced to decimals (tenths only) in third class and then to hundredths in fourth class and thousandths in fifth class. The children are also introduced to percentages in fifths class. However, it is worth noting that the children would have informally explored decimals since being introduced to euro and cent in first class.

Since decimals are inherently linked with both fractions and the place value system, (also introduced in first class), the children’s understanding of decimals and percentages in the senior classes will build on this prior knowledge.

Practical Suggestions for Supporting Children

  • Draw your child’s attention to decimals and percentages around your home and in the wider environment, e.g:
    • Decimals on products 1.5 litre bottle of water, 2.5 kg bag of dog food, petrol or diesel sold per litre as cents to tenths (e.g. 125.9c/litre)
    • Percentage discount: 20% off, 10% off, 50% extra free etc.
    • The percentage left for a device to fully charge or for a program/movie to fully download.
    • The percentage power left in the battery
    • Recorded times (as decimal fractions of a second) for races, etc.
  • When you are talking about decimal numbers be careful to use the correct language e.g. for 23.05 say ‘twenty three point zero five’. (Remember: 0 is a digit called zero, whereas O or ‘oh’ is a letter of the alphabet and not a number at all! So, when verbalising numbers with zero, try to get into the habit of saying ‘zero’ instead of ‘oh’).

Digital Resources for Third and Fourth Classes

White Rose Maths – Decimals: a series of lessons, including Tenths as Decimals, Hundredths as Decimals, Writing Decimals, Comparing Decimals, Ordering Decimals and Rounding Decimals.

 

 


Matholia – Decimals: A series of video lessons. Third class should focus on decimals to tenths, and fourth class on decimals to hundredths.

 

 


Khan Academy – Decimals: in this video and the videos that follow, explore decimal fractions and then answer the practice questions. You can also register for a free Khan Academy account to record your progress and explore other topics. 


Happy Numbers – Decimal Fractions: A series of lessons and activities; scroll down to do Module 4 (Fourth Grade)

 

 

 


Most Popular Free Maths Games - MathsframeMaths Frame – Empty Number Line: Practice placing decimal numbers (tenths and hundredths) in the correct position; choose 0-1 in tenths or hundredths initially and then move to the next levels to challenge yourself. 


A caterpillar game!Caterpillar Ordering: Choose ordering to order numbers with tenths (1 decimal place)

 

 


Compare and order different numbers and metric quantities involving length,  mass, capacity and mo… | Math games for kids, Free math games, Kindergarten  math numbersCoconut Ordering: Hit the numbers in order of size. Select ‘numbers’ and then choose from numbers up to 10, 1 decimal place or 2 decimal places or both.

 


Richardson Endowed PrimaryHit the Button: a great site for practicing quick-fire questions; options include Number Bonds (make 1 and make 10 with numbers to 1 decimal place), Doubles (to 10, 1 decimal place) and Halves (to 10, 1 decimal place).


Place Value Charts | My Primary Classroom

Place Value Charts: Make a given number by combining the parts that make up the number. Select practice and then either T O . t (1 decimal place, for third class) or T O . t h (2 decimal places, for fourth class) in either column.


10 Maths Games for KS2 Students | TeacherBoards Community

Rocket Rounding: A multiple choice game with options to round decimals to the nearest whole number. Start with the easier option of having a number line and then try to play the other more difficult option, no number line.


Declan's Fun Facts!: very cool battle ship equivalent fractions on ...

Battleship Numberline: Can you blow up the enemy submarines? This game starts very easy, where you must click the correct fraction on the number line, but then the game progresses in difficulty as the player must work out where a given fraction would be placed on the blank number line. Choose the decimals game. 


I Know It! – Decimals: Scroll down to Decimals (Third Grade) to do any of the activities with tenths (third class) and/or hundredths (fourth class). There are some more advanced decimal activities in the fourth grade section, both in the section on Numbers & Place Value and in the section on Fractions & Decimals. 

 


SplashLearn for Android Devices Released - IssueWire

Splash Learn – Decimals: An assortment of decimal games organised according to US grade levels; third classes could do the games that include tenths only and fourth classes could look at all the Fourth Grade games.

 


ThatQuiz.org | Amazing automatic quiz generator! Awesome fun ...

That Quiz: Each of these quizzes have lots of options, on the left hand side, that can be changed to suit the ability of the child. Each time do the set 10 questions, if you get 10 or 9 correct, go up a level; if not stay at that level. Choose from Identify to identify and order decimals (choose decimal options for both on left hand side), Arithmetic for various calculations involving decimals (choose decimal option on left hand side), Inequalities for comparing decimals and/or fractions and Reduce for converting decimals to an alternative form. 


IXL | Maths and English Practice

Decimals: a selection of games from ixl.com. You can do a number of free quizzes each day without having a subscription. (Please note that the class levels given do not always align accurately with the content of the Irish Primary Curriculum)  

Digital Resources for Fifth and Sixth Classes

White Rose Maths – Decimals & Percent: a series of lessons, including Decimals as Fractions, Thousandths, Rounding Decimals, Order & Compare Decimals, Percentages, Percentages as Fractions and Decimals, Adding Decimals 1, Adding Decimals 2, Subtracting Decimals 1, Subtracting Decimals 2, Multiplying Decimals,  and Dividing Decimals.


Matholia – Decimals and Percentage:  A series of video lessons. For decimals, fifth and sixth classes should focus on the lessons involving decimals to thousandths (3 decimal places).

 

 


Khan Academy – Decimal Place Value: explore decimal fractions in this series of lessons, and then answer the practice questions. If you wish, follow this up with Adding Decimals, Subtracting Decimals, Multiplying Decimals, Dividing Decimals or a series of lessons covering all Decimal Operations. You can also register for a free Khan Academy account to record your progress and explore other topics. 


Khan Academy – Ratios, Rates and Percentages: Scroll down to the sections on percentages to explore them in this series of lessons, and then answer the practice questions. You can also register for a free Khan Academy account to record your progress and explore other topics. 


Mashup Math - YouTubeMashup Math: A collection of video lessons including Writing Decimals in Expanded Form, Converting Decimals to Fractions, Adding & Subtracting Decimals, Multiplying & Dividing Decimals and Percent Increase Problem.

 

 


Primary video lessons | NCETMNCETM – Linking Fractions, Decimals and Percentages: A series of video lessons aimed at years 5 and 6

 


Happy Numbers – Decimal Fractions: A series of lessons and activities exploring decimals to thousandths and operations involving the same. Work through the activities in Modules 1, 2 and 4.

 

 


Most Popular Free Maths Games - MathsframeMaths Frame – Empty Number Line: Practice placing decimal numbers (tenths and hundredths) in the correct position; choose 0-1 in tenths or hundredths initially and then move to the next levels to challenge yourself. 


Richardson Endowed PrimaryHit the Button: a great site for practicing quick-fire questions; options include Number Bonds (make 1 and make 10 with numbers to 1 decimal place), Doubles (to 10, 1 decimal place) and Halves (to 10, 1 decimal place).


10 Maths Games for KS2 Students | TeacherBoards Community

Rocket Rounding: A multiple choice game with options to round decimals to the nearest whole number. Start with the easier option of having a number line and then try to play the other more difficult option, no number line.


Declan's Fun Facts!: very cool battle ship equivalent fractions on ...

Battleship Numberline: Can you blow up the enemy submarines? This game starts very easy, where you must click the correct fraction on the number line, but then the game progresses in difficulty as the player must work out where a given fraction would be placed on the blank number line. Choose the decimals game. 


I Know It! – Decimals & Percent: Scroll down to Fractions-Decimals-Percent (Fifth Grade) to do any of those activities. There are also more decimal activities spread throughout the Place Value, Addition, Subtraction, Multiplication and Division sections. 

 

 


SplashLearn for Android Devices Released - IssueWire

Splash Learn – Decimals: An assortment of decimal games aimed at Fifth Grade

 

 


Place Value Games Online - Math Activities For 2nd & 3rd Grade

Decimal Games & Percentage Games: An assortment of games using numbers of various sizes. Fifth and Sixth class should do the games up to 3 decimal places.

 


ThatQuiz.org | Amazing automatic quiz generator! Awesome fun ...

That Quiz: Each of these quizzes have lots of options, on the left hand side, that can be changed to suit the ability of the child. Each time do the set 10 questions, if you get 10 or 9 correct, go up a level; if not stay at that level. Choose from Identify to identify and order decimals (choose decimal options for both on left hand side), Arithmetic for various calculations involving decimals and/or percent (choose desired options on left hand side), Inequalities for comparing decimals, percentages and/or fractions and Reduce for converting decimals and percentages to an alternative form. 


IXL | Maths and English Practice

Decimals and Percents: a selection of games from ixl.com. You can do a number of free quizzes each day without having a subscription. (Please note that the class levels given do not always align accurately with the content of the Irish Primary Curriculum)

 


Dear Family, your Operation Maths guide to Directed Numbers

Category : Uncategorized

Dear Family, below is a brief guide to understanding the topic of directed numbers (fifth and sixth classes only), as well as some practical suggestions as to how you might support your children’s understanding at home. Also below, are a series of links to digital resources that will help both the children, and you, learn more about directed numbers.

Junior Infants to Second Class
You can also find class specific tips in the Operation Maths Dear Family letters for fifth and sixth class.

Understanding Directed Numbers

Directed Numbers are numbers with both size and direction; one direction is positive, and the other is negative. For example, temperature is typically described in a number of degrees either above zero (positive values) or below zero (negative values). Positive and negative numbers are also referred to as integers.

In Operation Maths, the children are first introduced to directed numbers in fifth class, where the focus is on the children appreciating where directed numbers can be encountered in real life, for example:

  • Temperature
  • Bank statements/ money accounts: having money is shown as positive (+) and owing money or overdrafts are shown as negative (-)
  • Elevations above and below sea level
  • Floors below the ground floor in a large building are often labeled as -1, -2 etc
  • Golf scores are written as above and below par
  • Goal difference in soccer league tables
  • Depths in a swimming pool

In school, the children are encouraged to use the words positive and negative, rather than plus and minus; for example for the value -6 we should say negative six rather than minus six. This is particularly important for when the children start adding positive and negative numbers (in Operation Maths 6): for example (–3) + (+9) should be read as ‘negative three add/plus positive nine’ rather than ‘minus 3 plus plus 9’. It is also important that the children recognise that positive numbers can be written either with, or without, the positive sign, therefore we can assume that any number, without a sign, is positive.

Practical Suggestions for all Children

  • Draw your child’s attention to wherever they or you encounter directed numbers (see above for possible examples).
  • If your child is having difficulty visualising, comparing, ordering etc directed numbers, encourage them to think of a real example. One of the most-relatable of these is that of temperatures and the thermometer. Look at a real thermometer or use an online virtual example such as this one.
  • As explained above, encourage your child to use the words positive and negative, rather than plus and minus, when describing directed numbers.

Digital Resources for Fifth and Sixth Classes

Exploring Integers and Temperature - FUSE - Department of Education &  TrainingIntegers: Video lesson that introduces integers (positive and negative numbers) and where they occur in real life


Mashup Math - YouTubeMashup Math – Elevation above or below sea-level: A video lesson that explores elevation as examples of positive and negative numbers.

 


Negative Numbers: A series of video lessons from White Rose Maths, including Introducing Negative Numbers (Year 4), Negative Numbers (Year 4), Negative Numbers (Year 5), Negative Numbers in Context (Year 6), Negative Numbers (Year 6), Add and Subtract Integers (Year 6).


Khan Academy Negative Numbers: A series of videos and practice questions exploring negative numbers. Afterwards, for more of a challenge, look at Integers and Whole Numbers. You can also register for a free Khan Academy account to record your progress and explore other topics/grades. 


Placing Numbers on a Number Line - Tablet Version - MathsframeMaths Frame – Empty Number Line: Practice placing positive and negative integers in the correct position; choose -5 to 5 initially and then move to the next levels to challenge yourself. 


Thermometer Games - Ms. Bickel's Web PageWhat is the Temperature? Identify the temperature shown on the thermometers. A way to practice directed numbers in a real-life context. Includes values above and below zero, and has options for various ranges.


A caterpillar game!Caterpillar Ordering: Choose Ordering and then -10 to 10 to order integers.

 


Coconut Ordering - Comparing Numbers, Prices, Mass, Length and ...Coconut Ordering: Hit the numbers in order of size. Select ‘numbers’ and then choose from numbers from -10 to 10 to order integers.


Felixstowe Transition Project Day 3 – Tuesday 27th February ppt downloadNumber Lines in Disguise: A challenge and interactive game (scroll down) from NRICH; Can you work out the number marked by the dot? Includes positive and negative numbers.


That Quiz: Inequalities for comparing numbers, Arithmetic for addition calculations involving directed numbers and Number Line for identifying numbers by their position. In each of these activities there is the option to include negative numbers along with positive; just make sure the the “negative” option is selected on the left hand side.


Number Line, by the Math Learning Center App ReviewNumber Line App: This virtual tool can be used to explore the position of values on a number line,including positive and negative numbers; also to model addition and subtraction involving positive and negative numbers.


Manipulatives - MathsBot.comDirected Numbers Counters: These double sided counters can be used to model addition and subtraction involving positive and negative numbers (ensure that the “sign” option is ticked).


IXL | Maths and English Practice

Integers (Directed Numbers): a selection of practice games from ixl.com. You can do a number of free quizzes each day without having a subscription. Start with the second class games and work up through the activities.

 


Integers: Practice games from Math Games. Choose your class level.