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Venn diagrams, lists and tables
In this unit you sort and show data in different ways. You use a Venn diagram to sort things by rules, and you read lists and tables to count data and answer questions about it.
Sorting with a Venn diagram
A Venn diagram uses circles with a rule on each label. You look at each thing and decide which circle it belongs in. For example, with circles 'Odd' and 'Less than 40', the number 18 is even and less than 40, so it goes in the 'Less than 40' circle.
The middle (overlap)
Sometimes a thing fits both rules. Then it goes in the middle, where the two circles overlap. The number 25 is odd AND less than 40, so it fits both rules and goes in the middle.
Reading a list
A list writes data one item after another. You can count how many times each thing appears. In the list cat, dog, cat, fish, dog, cat, the word 'cat' appears 3 times, so there are 3 cats.
Reading a table
A table shows data in neat rows so you can read and count it easily. You can find how many chose each thing, which is the most or fewest, the total (add all the rows) and the difference between two rows.
Worked examples
Sort a number into a Venn diagram
- The circles are 'Odd' and 'Less than 40'.
- Look at 18: is it odd? No. Is it less than 40? Yes.
- It only fits the 'Less than 40' rule.
Answer: 18 goes in the 'Less than 40' circle.
Find what goes in the middle
- The middle is for things that fit BOTH rules.
- Look at 25: is it odd? Yes. Is it less than 40? Yes.
- It fits both rules, so it goes in the overlap.
Answer: 25 goes in the middle of the Venn diagram.
Count from a list
- The list is: cat, dog, cat, fish, dog, cat.
- Point to each 'cat' as you count.
- Count how many times you see 'cat'.
Answer: There are 3 cats in the list.
Find the total in a table
- The table shows: Apple 6, Banana 4, Orange 3.
- Add all the rows together: 6 + 4 = 10.
- Then 10 + 3 = 13.
Answer: There are 13 children altogether.
Where you see this in real life
- Sorting toys into groups, like 'red' and 'has wheels'.
- Doing a class survey of favourite fruit and writing it in a table.
- Keeping a table of sunny, rainy and cloudy days in the weather.
- Sorting shapes by their colour and how many sides they have.
Key words
- Venn diagram
- A picture with circles that sorts things into groups using a rule on each label.
- Middle (overlap)
- The part where two circles cross over, for things that fit both rules.
- List
- Data written one item after another that you can count.
- Table
- Data shown in neat rows so you can read and count it easily.
- Data
- Information you have collected, such as favourite colours.
- Sort
- To put things into groups using a rule.