## Dear Family, your Operation Maths guide to Data

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Dear Family, given below is a brief guide to understanding the topic of data 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 data. The digital resources are organised according to approximate class level:

#### Understanding Data

Data, as the name suggests, is all about information, and in maths it is about organising information in such a way that it is easy to read and interpret. Most of us are quite familiar with information from surveys, voting etc., presented in graphs, charts and tables in various print and digital media. But graphing is only one part of the data presentation and analysis process, and this process is essentially the same, whether at the junior or senior end of primary school, or even at a more advanced level of statistics:

- It starts when someone ask a
**question**, that doesn’t have an obvious and/or immediate answer. This could be a question like who do most people intend to vote for in the next election or what is the favourite colour of a group of people or which sweet occurs most often in a box. - Information is then
**collected**relevant to the question. This may be collected via a digital or face-to-face survey. It may be collected from a large or small representative sample of people. - This collected information or data is
**represented**in a structured way that makes it easier to read. This might be a type of graph, pie chart or table. - This represented data is then examined and compared (
**analysed**and**interpreted**) in such a way as to be able to make statements about what it reveals and, in turn, to possibly answer the initial question; if the question remains unanswered, it may be necessary to re-start the process again, perhaps using different methods.

In the senior end of primary school the children will encounter more complex data and charts/graphs, while also analysing data in more complex ways, such as calculating the average (also know as mean), in 5th & 6th class, and identifying the most frequently occurring value in a data set (also known as mode) in 6th class.

#### Practical Suggestions for Supporting Children

**Let’s get organised!**As mentioned earlier, data is all about organising information in an easy-to-interpret way. So any activities which involve sorting or organising can become a data analysis activity, for example:- What lollipop flavour/colour occurs most often in the bag (see image)? Ask your child to organise the lollipops in such a way that we can see the answer, without the need to count. This could be done with a box of wrapped sweets also, for example, Quality Street, Heroes, Celebrations etc. For more challenging questions, ask your child to tell you how many more/fewer of one type than another type.
- What toy type do you have most of? When tidying up the toys, lay them out in rows alongside each other (parallel rows, similar to above), with the same type in each row. Of what toy type is there the most? The least?
- Hat sort: Organise your hats into rows of winter hats and summer hats or hats with rims and hats without rims or even just according to colour. You can do something similar with other clothes types also.
- You can also organise buttons or Lego pieces or building blocks in a similar way …. or any suitable material you may have at home.

**Real-world examples:**Anytime you come across any examples of the data process, share these experiences with your children. It could be completing a review (survey) for an online purchase or a holiday stay. It could be survey or election results you come across on the internet, radio or TV. If a graph is used, ask your child to tell you the type of graph it is and to tell you what they notice, or can tell, from the information shown.**League tables**(soccer, GAA, rugby), are an ideal example of data presented in a table. Look at a table of results together, ask your child to interpret the information given, what it tells us, and what the various headings mean. Discuss an upcoming game: if your preferred team wins, how will that affect the table?**Planning a party**and not sure what to do or where to go? Why not ask your child to survey his/her playmates with 3 or 4 possible options and then use the collated results to determine the destination?**Do a survey:**You could do a traffic survey outside your house or a bird watch survey in your back garden. Or just encourage your child to come up with their own questions that they would like to answer. Survey your friends and family and then graph/present the collected information. Digital technologies (for example Microsoft Excel and Google Docs/Sheets) make it very easy to create a variety of very effective graph types.

#### Digital Resources for Infants

Fruit Fall: A simple game where the fruit that is caught is laid out in rows on a grid.

Curious George – Hat Grab: Help George grab hats to make a graph

Fishing Game: Catch the fish which are then arranged as a pictogram

Matholia – Data: A number of video lessons that include Picture Graphs and Making a Picture Graph.

I Know It – Reading Picture Graphs: A review game/quiz. You can also try out a similar quiz here on block graphs.

Graphs: 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 First and Second Classes

Khan Academy – Picture Graphs: 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.

Matholia – Data: A number of video lessons that cover Picture Graphs, Making a Picture Graph and Making a Bar Chart.

White Rose Maths – Statistics: a series of lessons for Year 2 Week 1 and Year 2 Week 2.

I Know It – Reading Picture Graphs: A review game/quiz. You can also try out a quiz here on basic bar graphs and more advanced bar graphs.

Handling Data – Quiz: Test yourself on what you know about data. Another similar quiz is also available here.

That Quiz – Graphs: This quiz has lots of options, on the left hand side, that can be changed to suit the ability of the child. From the options on the left hand side select **pictogram**, **how many**, **difference**, **minimum**, **maximum**, **easier content**. Do the set 10 questions, if you get 10 or 9 correct go up a level, and/or choose normal content.

IXL.com – Graphs: a selection of interactive quizzes. 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.)

Math Games – Graphing: games to practice graphing skills; go to the activities for your class level.

#### Digital Resources for Third to Sixth Classes

Maths is Fun – Data: Background information on using and handling data.

Matholia – Data: A number of video lessons that cover Making a Bar Chart and Interpreting Line Graphs.

White Rose Maths – Statistics: a series of lessons for Year 3 Week 1, Year 3 Week 2, Year 5 Week 1 and Year 5 Week 2.

Khan Academy – Data: A unit of work including video tutorials and practice questions. You can also register for a free Khan Academy account to record your progress and explore other areas and/or try more difficult material.

That Quiz – Graphs: This quiz has lots of options, on the left hand side, that can be changed to suit the ability of the child. Ensure that the level is set to 1. Each time do the set 10 questions, if you get 10 or 9 correct go up a level, if not stay at that level. There are lots of different types of activities: it automatically starts on **bar** charts, and you can choose **pictogram**, **line** (trend graph), **circle** (pie chart), **multi-bar** also. There are many question options also: **plot**, **how many**, **difference**, **minimum**, **maximum**, **mean** (average, 5th up) and **mode** (6th class).

Softschools.com – Tally Chart Game: on this site you can also answer questions on a Favourite Colours Bar Chart, and Favourite Vegetables Bar Chart

I Know It – Graphing: A bar graph interactive quiz

Bar Charts: From Maths Frame, answer the questions on both vertical and horizontal bar charts; it also has both one-step and two-step questions.

How to make a graph using MS Excel: a tutorial

How to make a graph using Google Docs/sheets: a video tutorial.

Interactive programme to create line (trend) graphs

Interactive programme to create bar/pie charts

Create a Graph: Online graph creation facility that also allows you to print finished product.

Splash Learn – Data Games: These games cover Data on a Bar Graph, Read Line Plots and Represent Data on Line Plots.

Mashup Math – Video Lessons: includes Tally Charts and Picture Graphs, and for fifth and sixth classes, Mean, Median, Mode and Range and Line Plots.

Averages and Bar Models: Video tutorial on how bar models can be used to solve problems involving averages.

I Know It – Averages: A quiz on calculating averages

Handling Data – Quiz: Test yourself on what you know about data

IXL.com – Graphs: a selection of interactive quizzes. 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.)

Math Games – Graphing: games to practice graphing skills; go to the activities for your class level.