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 – 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.



Dear Family, your Operation Maths guide to Area

Category : Uncategorized

Dear Family, below is a brief guide to understanding the topic of area, 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 area. 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, and in the Operation Maths Dear Family letters for third to sixth class.

Understanding Area

Area is the size a surface takes up: the size of the space that the grass of your garden covers, the size of the space on the cover of an Operation Maths book, the size of space that your house covers on its site. As children often confuse area and perimeter encourage them to compare these copncepts to real examples eg:

  • Garden: Area = the ground covered by lawn, decking and/or patio; perimeter = the length of fencing or walls.
  • Room: Area = the space covered by flooring (carpets, tiles etc.); perimeter = the length of the skirting boards or length of walls.
  • Playground or school yard: Area = the space covered by tarmac, grass etc; perimeter = the length of the fencing or walls.

Area is measured in square units. Like other measures, area has been traditionally measured using two separate systems: imperial units/US customary units (square foot, square yards, acres, square miles) and metric measures (square centimetres i.e. cm2 , square metres i.e. m2 , hectares and square kilometres i.e. km2). In Ireland, the changeover to all metric measures began in the early 1970s and was completed in 2005. Therefore, only metric measures are taught in Irish schools.

In school, the children are first introduced to area in second class, where, using non-standard measures, like books, copies, cards, envelopes (see above), they start to estimate and measure how many are required to cover various surfaces. They will be enabled to consider space on a surface and which has the greater area (covers more) or the lesser area (covers less) as shown below.

In third and fourth classes the children measure area by counting square units. In fifth and sixth classes the children estimate, measure and calculate area using the standard metric square units (square centimetres i.e. cm2 , square metres i.e. m2 , hectares and square kilometres i.e. km2) will also explore “short cuts” like using formulas for area ie Area of a Rectangle = Length x Width. However, it is hope that the children come to deduce this “short cut” for themselves, after lots of exploratory work, rather than just being given it.

Do you know how the metric system came into being? It has an interesting history! Watch this video and/or read this article. For more background info on area you can read these posts from Maths is Fun and SplashLearn.

Practical Suggestions for all Children

  • Draw your child’s attention to area and perimeter in their lives at home and beyond, and make distinctions between the two maths terms:
    • Garden: Area = the ground covered by lawn, decking and/or patio; perimeter = the length of fencing or walls.
    • Room: Area = the space covered by flooring (carpets, tiles etc.); perimeter = the length of the skirting boards or length of walls.
    • Playground or school yard: Area = the space covered by tarmac, grass etc; perimeter = the length of the fencing or walls.
  • Encourage younger children to play with shapes like pattern blocks, tangrams etc. How many of one shape is required to cover another?
  • Encourage your child to identify their own personal benchmarks for these metric measures e.g. the top of a child’s little finger covers approximately 1 cm2 ; look around the house to find a window or mat of anything that is approximately 1 m2 . This will help the child relate to these units of area and to internalise them.
  • Involve your child in any area measuring activity that might be required around the home. Reseeding the lawn? How much grass seed is required for that area? Getting new carpet or flooring? Painting the walls? How do you calculate the area to make sure the correct amount is bought?

Digital Resources for Second to Fourth Classes

Maths at Home – Area: (Year 4) a series of lessons.

 


Matholia – Area: A number of video lessons including Introduction to Area and Comparing Area.

 

 


Khan Academy – Area (Third Grade): Watch the videos and then answer the practice questions. You can also register for a free Khan Academy account to record your progress and explore other topics/grades.  


Happy Numbers Third Grade: Pupils could start the activities in Module 4, Topic A,  B and D.  When completed they could move on to all the topics in Grade 4, Module 2, Topic A.

 


Area Perimeter Explorer- Toy Theater - Maths Zone Cool Learning GamesArea & Perimeter: Tool from Toy Theater, for exploring and creating shapes with various areas. Another similar tool is this one from Maths Frame

 


Index of /sims/html/area-builder/1.1.20Area Builder: Choose GAME. You will be challenged to build a shape with an area of a specific number of square units. (You could also try the EXPLORE option allows you to build shapes of various areas).


Area Games: From Splash Learn 

 

 


I know it: Choice of games including Counting Square Units and Area of Rectangles and Squares

 

 


IXL | Maths and English Practice

Area: a selection of games from ixl.com. You can do a number of free quizzes each day without having a subscription. Choose your class level.

 


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

 

Digital Resources for Fifth and Sixth Classes

Maths at Home – Area: (Year 4) a series of lessons, that could be followed up with the Area lessons in Year 5.

 


Matholia – Area: A number of video lessons inclding Introduction to Area, Comparing Area, Measuring Area in Sq Centimetres, Area & Length of a Square, Finding the Area of Composite Figures and an Area Problem Solving Lesson.


Khan Academy – Area (Third Grade): Watch the videos and then answer the practice questions. Afterwards, for something more challenging,  look at the Fourth Grade activities on Area and Perimeter. You can also register for a free Khan Academy account to record your progress and explore other topics/grades.  


Happy Numbers Third Grade: Pupils could start the activities in Module 4, Topic A,  B and D.  When completed they could move on to all the topics in Grade 4, Module 2, Topic A.

 


Area Perimeter Explorer- Toy Theater - Maths Zone Cool Learning GamesArea & Perimeter: Tool from Toy Theater, for exploring and creating shapes with various areas. Another similar tool is this one from Maths Frame

 


Index of /sims/html/area-builder/1.1.20Area Builder: Choose GAME. You will be challenged to build a shape with an area of a specific number of square units. (You could also try the EXPLORE option allows you to build shapes of various areas).


Coco needs help to find the area of compound shapesScootle – Compound Shapes: Play this game to find the area.


That Quiz – Geometry: Options to calculate the area of rectangles, triangles, circles and trapezoids. You can also choose to calculate the length of the perimeter of the shapes.


Area Games: From Splash Learn 

 

 


I know it: Choice of games including Counting Square Units, Area of Rectangles and Squares, Area of Rectangles 1, Area of Rectangles 2 and Area of Triangles

 

 


IXL | Maths and English Practice

Area: a selection of games from ixl.com. You can do a number of free quizzes each day without having a subscription. Choose your class level.

 


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

 


Math is Fun – Area: Background information on length and its main metric units.  



Maths by Month – March (updated 2021)

Category : Uncategorized

Welcome to the March installment of Maths by Month.

Whether your children return to face-to-face teaching this month, or continue to engage in distance learning at home, rest assured that Edco Primary Maths and the Operation Maths blog will continue to support teachers, schools and families, including:

  • 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 February Assessments when you return to school, 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 March:

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 Length

Category : Uncategorized

Dear Family, below is a brief guide to understanding the topic of length, 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 length. 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, and in the Operation Maths Dear Family letters for third to sixth class.

Understanding Length

Length is the distance between two points; the length of the pencil is the distance from one end to the other; the length of a person is the distance from their feet to the top of their head. Certain lengths will often be described using other words; lengths that are typically vertical will be described as height; if an something is 2-D or 3-D the side with the shorter(est) length will typically be described as the width or breadth or depth. There are many adjectives to describe length: long, tall, wide, broad, deep, short, narrow, shallow etc.

Like weight and capacity, length has been traditionally measured using two separate systems: imperial units/US customary units (inches, feet, miles etc) and metric measures (metres, centimetres, millimetres, kilometres etc). In Ireland, the changeover to all metric measures began in the early 1970s and was completed in 2005. Therefore, only metric measures are taught in Irish schools.

In school, the children are enabled to compare, estimate and measure length. In the infants classes, the children work with non-standard units (e.g. what is the length of the table in paper clips, markers or straws?) and then they are gradually introduced to the standard metric units of length i.e. metre (first class), centimetre (second class), kilometre (third class) and millimetre (fifth class). Children in the older classes will also be introduced to, and work with, more complex concepts related to length, such as perimeter and scale on maps etc.

Do you know how the metric system came into being? It has an interesting history! Watch this video and/or read this article. For more background info on length you can read these posts from Maths is Fun and SplashLearn.

Practical Suggestions for all Children

  • Talk about length, width, distances etc with your children. Draw their attention to length in their lives at home and beyond:
    • Long items and short items; tall people and short people; narrow bridges and wide roads; deep end of the swimming pool and the shallow end.
    • Look at the labels on children’s clothes; do they notice how, in many shops, there is a number on the label (eg 128, 134, 140 etc) that indicates the height of the child in cm. What other clothing items mention cm?
    • If competing in, or spectating at, running races (eg Community Games, Athletics Ireland events) or swim meets, take note of how the distances are usually in m and km.
    • Look at road signs indicating distances in km; explore map apps and sat navs on devices (e.g. Google Maps) to identify the distance between your location and your destination.
    • If looking at maps, locate the scale reference to get a sense of how the distances represented on the map relate to the distances in reality.
  • Encourage your child to develop their own personal benchmarks for metric measures e.g. the width of a child’s little finger is approximately 1 cm; the width of a child’s outstretched arms (arm span) is often 1 m; the length of a child’s ‘giant’ step is often 1 m; the width/depth of a bank card or loyalty card is approximately 1 mm. This will help the child relate to these units of length and to internalise them.
  • At home, use a height chart to measure and record your child’s height. Or mark and measure heights on a piece of furniture, door jamb, etc. Return to this every six months or so, to allow your child to reflect on their own growth.
  • What objects do you have at home that can measure length? Measuring tapes, rulers etc., could be left somewhere, easily accessible, so that they can be used for play purposes. Allow the children to explore how they work and use them to measure the length/height of the items and people. Draw your child’s attention to the markings and their meaning, and to how many mm there are in a cm or a m, how many cm in a m etc.
  • Involve your child in any measuring activity that might be required around the home. Getting new furniture? How big is each piece? Will there be enough room for it? Getting new curtains or blinds? Measure together the width and drop that is required. Getting new carpet? What length of a roll is needed?
  • Enlist the help of older siblings if available. As they explain and support the younger members of the family, they will also be developing and consolidating their own knowledge and skills, especially communicating mathematically.
  • Draw the children’s attention to any other situation where length needs to be considered: height requirements for fairground or theme park rides; height requirements for children’s car seats, maximum size of baggage allowed with airlines, etc.

Digital Resources for Infants

Image result for https://www.youtube.com/watch?v=Ad9NkMHsT4oComparing Lengths: A video lesson from Matholia

 


Image result for https://www.youtube.com/watch?v=Ad9NkMHsT4oComparing Lengths: A story lesson from Matholia

 


Image result for https://www.youtube.com/watch?v=1fag0bfQVaQMeasuring Length (non standard units): A video lesson from Matholia

 


Bert and Ernie - Heavy and Light - YouTubeLong and Short with Kermit & Grover: The Sesame Street favourites explore long and short.

 


NUMBERJACKS | Getting Heavy | S1E8 - YouTubeNumber Jacks: Going Wrong, Going Long. Another episode for length is Measured Response

 


Grade 5 Math - Online Enrichment ActivitiesHappy Numbers Kindergarten: Work through the activities from Module 3, Topic A and B.

 

 


Let’s Compare: A comparing sizes game, including picking out the biggest, smallest, shortest etc

 


Math Game: QuadrilateralsI know it – Longer/Taller or Shorter: Interactive quiz for Kindergarten. Also available: Measure length in non-standard units

 


IXL | Maths and English PracticeLong, tall, short, wide, narrow: a selection of games from ixl.com. You can do a number of free quizzes each day without having a subscription.

 


Digital Resources for First and Second Classes

Image result for https://www.youtube.com/watch?v=1fag0bfQVaQMeasuring Length (non standard units): A video lesson from Matholia

 


Image result for https://www.youtube.com/watch?v=yFh5lO1SQlwUnits of Length – Metre: A video lesson from Matholia. Follow this with Measuring Length in Metres

 


Image result for https://www.youtube.com/watch?v=jshiAs9HGOEUnits of Length – Centimetre:  A video lesson from Matholia. Follow this with Measuring Length in Centimetres


Image result for https://www.youtube.com/watch?v=2Q4c0CtK9M0Comparing Lengths: A video lesson from Matholia

 


Image result for https://www.youtube.com/watch?v=NVephCgCgNQBar Models: A video lesson from Matholia, showing how to use bar models to solve length addition problems. Follow this with how to solve length subtraction problems.


White Rose Length & Height: a series of lessons on comparing and measuring lengths and heights. These series of lessons could be followed up with other measurement lessons in year 1 and/or year 2


Khan Academy – Length (First Grade): Watch the videos and then answer the practice questions. Afterwards, for something more challenging,  look at the Second Grade Activities. You can also register for a free Khan Academy account to record your progress and explore other topics/grades. 


Image result for happynumbersHappy Numbers First Grade: Pupils could start the activities in Module 3, Topic B.  When completed they could move on to all the topics in Grade 2, Module 2.

 

 


That Quiz – Measurement: Measure the length of the fish in cm. Select level 1 on the left hand side.

 


Splash Learn – Measurement Games: (First Grade) Estimate and measure length. Second class class could try the Second Grade games, choosing metric units. 

 

 


Math Game: QuadrilateralsI know it – Length: Interactive quizzes on longer/taller and shorter, measuring length, estimating length in centimetres and measuring length in centimetres.

 


IXL | Maths and English PracticeMeasurement: a selection of games from ixl.com. Choose the games to do with long/tall and short, length and centimetres. You can do a number of free quizzes each day without having a subscription.

 


Digital Resources for Third to Sixth Classes

Image result for https://www.youtube.com/watch?v=bvOc-MQNe-kConverting metres and centimetres: A video lesson from Matholia. Follow this with converting metres to centimetres

 


Image result for https://www.youtube.com/watch?v=ybc2QAtsLw4Converting metres and kilometres: A video lesson from Matholia.

 


Image result for https://www.youtube.com/watch?v=Q3wAOSKhH2UBar Models: A video lesson from Matholia, showing how to use bar models to solve length multiplication problems. Follow this with how to solve length division problems.


White Rose Length & Perimeter: a series of lessons, that could be followed up with other measurement lessons in year 3, year 4, year 5, and/or year 6.


Khan Academy – Perimeter (Third Grade): Watch the videos and then answer the practice questions. Afterwards, for something more challenging,  look at the Fourth Grade activities on Area and Perimeter, the Metric System and/or Converting Metric Units. Or even the Fifth Grade activities on Converting Metric Length Units. You can also register for a free Khan Academy account to record your progress and explore other topics/grades. 


Mashup Math - YouTubeFinding the Area & Perimeter of a Rectangle: A video lesson from Mashup Math.

 

 


That Quiz – Measurement: Measure the length of the fish. Select level 1 on the left hand side, initially and then work up to level 2 and 3.

 


That Quiz – Geometry: Options to calculate the perimeter of rectangles, triangles, circles and trapezoids. You can also choose to calculate the area of the shapes.


Splash Learn – Measurement Games: These games cover how to measure length, measure the perimeter of regular shapes, the perimeter of non-regular shapes,  calculate a side length when given perimeter, calculate the perimeter of simple shapes, perimeter of complex shapes, converting metric units, including metric units with decimals.


Topmarks on Twitter: "In our Coconut Ordering game you can compare ...

Coconut Ordering Game: Select Length to order amounts of cm and m.

 


I know it – Third Grade: Scroll down to Measurement (metric units of length) to select those activities. For perimeter activities scroll down to Geometry (perimeter). There are similar activities in Fourth Grade and Fifth Grade.

 


IXL | Maths and English Practice

Measurement: a selection of games from ixl.com. Choose the games to do with length and metric units of length. You can do a number of free quizzes each day without having a subscription. 

 


Comparing and converting metric units: Practice games incorporating metric units of weight, capacity and length.



Maths by Month – February (updated 2021)

Category : Uncategorized

Welcome to the February installment of Maths by Month.

As we proceed with the current reality of distance learning, rest assured that Edco Primary Maths and the Operation Maths blog will continue to support teachers, schools and families, including:

  • 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:

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 February:

  • Lá ‘Le Bríde, is Monday, February 1st. The story of St. Brigid’s Cloak could be used as springboard into a pattern activity, or a discussion on exponential growth with older students.
  • Ireland’s first game in the 2021 Six Nations (against Wales in the Principality Stadium) is on Sunday 7th February. Some mathematical possibilities:
    • With older children, use the opportunity to explore the rugby union scoring system, and to identify what scores (up to 30, for example) are possible (how?) or impossible.
    • Calculate the number of games to be played; what if the competition had less or more teams, how many games would need to be played then?
    • Use the language of chance to discuss the possible outcomes for each nation in the competition and recognise that while it is impossible to predict the actual outcomes, we can use of knowledge of the teams performances to make informed predictions.
    • Calculate the dimensions of the pitch
    • Run a Fantasy Rugby League in your class
    • Make score predictions for each match and plot how these scores would be recorded on the Six Nations Table
  • Storytelling Week runs from 30 January to 6 February. While this is primarily a UK based event, it does serve as a timely reminder of the rich role that mathematical stories can play in the early years.  For teachers of infants to second class, be sure to check out the Literacy suggestions within the Integration section of each short term plan in the TRB.
  • Valentine’s Day is Sunday 14th February. Try out these themed problems  and challenges (suitable from first class up) from Mashup Math and, from the Routty Math Teacher, this selection of five Valentine’s Day-inspired starters, that are sure to engage your students and get them thinking critically about maths.
  • Pancake (Shrove) Tuesday is Tuesday 16th February. Recipes naturally provide great opportunities for real world maths, for example identifying the measures and amounts required, adding the correct measures to the mix, adapting the recipes to suit more or less people, etc. For more maths-related activities check out these pancake problems.

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 Symmetry

Category : Uncategorized

Dear Family, below is a brief guide to understanding the topic of symmetry, 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 symmetry. 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, and in the Operation Maths Dear Family letters for third to sixth class.

Understanding Symmetry

Symmetry is introduced in second class and is a stand-alone maths topic in only second to fourth classes. That said, it also features as part of the topic of 2-D shapes in fifth and sixth classes where the children in those classes are asked to “classify 2-D shapes according to their lines of symmetry”.

While there are different types of symmetry (which children will explore deeper in second level maths), the primary curriculum specifies line symmetry, also known as mirror symmetry, reflective or reflection symmetry. 

In school, the children will often have the chance to use special child-safe mirrors to explore this concept, and to look at the mirror image of arrangements of various items. It would be really valuable for the children to be able to do something similar at home, with any suitable small mirrors that might be available (Tip: mirrors with straight outside edges rather than curved edges are better for this, eg a small mirror from the lid of a make-up pallet). Draw your child attention to the way in which the pattern appears to be reversed e.g. in the image above the order of the real cubes is orange, yellow, green, but in the reflection we see green, yellow, orange.

Practical Suggestions for Supporting Children

  • Symmetry at home: explore the symmetry that is all around you:
    • Look for examples of symmetry in clothes, furniture, windows, dishes, ornaments, doors, etc.
    • If going for a walk, look out for examples of symmetry in nature eg flowers, leaves.
    • Is there symmetry in any of the numbers we write? What about letters of the alphabet; lower-case and/or upper case (capital letters)? What about the letters in your name?
  • Take some time to use mirrors to explore symmetry (as mentioned above, small square, or rectangular, cosmetic mirrors are ideal for this). Using the mirrors the children can create and check symmetrical patterns using cubes, counters, objects etc. They can look for symmetry in numbers and capital letters (eg the letters on the cover of their Operation Maths book, other books, newspapers, boxes, food containers etc). Can your child answer the following questions?
    • What letters or numbers look the same in the mirror? What shapes or images look the same in the mirror?
    • Can you put the mirror along the middle of any letters and numbers so that they look complete? Does this work with any other shapes or images?
    • For some shapes/numbers/letters, is there more than one than one way, that the mirror can be placed?
  • Using the mirrors the children can create and check symmetrical patterns using pieces of lego, blocks or other suitable objects etc.
    • Place a mirror to the right or left of the arrangement. Describe what can be seen in the reflection.
    • Change the position of the mirror, perhaps above or below the arrangement. Does the reflection in the mirror look the same? Is it different? How? Why?
    • Repeat using different items and/or arrangements. Ask your child to predict what the mirror image will look like before they actually look into the mirror.
  • If your child has his/her Operation Maths twenty frame at home (free with Operation Maths 1 and 2) it can be used to create a symmetry challenge (see below). One person uses counters, lego pieces, buttons etc, to make an arrangement and the other person makes its mirror image. You could also do something similar with a chessboard/draughtboard and the playing pieces.

Digital Resources for Second Classes

In second class, the children are being introduced to simple symmetry. If your child knows very little about symmetry already, a good starting point is to watch some of the videos below.


Symmetry: A series of video lessons from White Rose Maths, including for Year 2,  Lines of Symmetry, Draw the Whole.

 


Intro to Symmetry: All About Symmetry for Kids - FreeSchool - YouTubeIntro to Symmetry: A YouTube video that introduces  and explores reflectional (mirror) symmetry.  

 


Symmetry Song for Kids | A Day at Symmetry Land | Lines of Symmetry -  YouTubeSymmetry Land: Learn about lines of symmetry through this song from Numberock

 


Symmetry Painter . Games . peg + cat | PBS KIDSSymmetry Painter: This simple activity allows you to paint on one side and watch as the symmetrical image magically appears on the other side!

 


Image result for top marks symmetry

Symmetry Matching: 3 different games where you choose the matching symmetrical half.

 


Topmarks: Symmetry sorting | Sorting games, Sorting, Symmetry

Symmetry Sorting: 3 different games where you decide if the image shown is symmetrical or not symmetrical.

 

 


Math Game: QuadrilateralsI know it – Symmetry: Interactive quiz for Grade 1. After, you could try the Grade 2 quiz

 


Manipulatives | CoolMath4KidsPattern Blocks: Use these interactive pattern blocks to make numerous designs, pictures etc on one side of the screen. And then challenge yourself, or another, to complete the symmetrical image on the other side. 

 


IXL | Maths and English PracticeSymmetry: A selection of simple games from ixl.com. You can do a number of free quizzes each day without having a subscription. 

 


Math Games: a simple symmetry game ideal for beginners.

Digital Resources for Third and Fourth Classes

NB: Children in these classes may also enjoy the links for second class above


Symmetry: A series of video lessons from White Rose Maths, including for Year 4 Lines of Symmetry and Complete a Symmetric Figure.

 

 


Khan Academy – Symmetry: Watch the videos and then answer the practice questions. You can also register for a free Khan Academy account to record your progress and explore other topics/grades.


Line Symmetry and Reflection Symmetry Explained! - YouTubeVertical and Horizontal Lines of Symmetry: learn about different types of lines of symmetry from Mashup Math

 


Symmetry Shapes – TeacherLEDSymmetry Shapes: You will be shown a shape and you must create the reflection or mirror image of the shape as reflected in the line of symmetry. Click on the grid squares to colour them in, and then click check to see if you are correct. 


Symmetry Counters – TeacherLED

Symmetry Counters: Similar to the game above, an arrangement of counters will be shown and you move the other counters to create the reflection or mirror image of the arrangement, as reflected in the line of symmetry. 


Symmetry Invaders – TeacherLEDSymmetry Invaders: Can you complete the symmetrical images to win this space invaders-type game?

 


Math Game: QuadrilateralsI know it – Symmetry: Interactive quiz for Grade 3. After, you could try the Grade 4 or Grade 5 quiz

 


IXL | Maths and English Practice

IXL: A selection of symmetry games from ixl.com. You can do a number of free quizzes each day without having a subscription.

 


Math is FunMaths is Fun: Background information on reflection (mirror) symmetry

 


Math Games: a whole suit of symmetry games, for a range of class levels; start with second class and work your way up.


Line Symmetry Quiz: Identify the number of lines of symmetry in each shape by dragging the answers into the correct places.