Grouping Animals in Different Ways and Exploring Number Sets

Explore various ways to group animals based on different characteristics such as dangerous vs. not dangerous, number of legs, and habitat preferences. Additionally, delve into sets of integers less than 20, analyzing even numbers, odd multiples of 3, and more complex combinations. Visual aids like Venn diagrams help in organizing and comparing data effectively.

• Animals
• Grouping
• Characteristics
• Numbers
• Integers

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Uploaded on Oct 09, 2024 | 0 Views

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1. How could we group these animals? List at least 3 different ways

2. How have they been organised? Dangerous Not dangerous

3. How have they been organised? 2 legs No legs 4 legs 6 legs

4. Live on land Live in water Which group would these animals go into?

5. Live on land and in water Live on land Live in water

6. Live on land and in water Live on land Live in water This is called a Venn diagram. They help organise data and compare groups. They are very useful when some things are in both groups

7. Lets think about the set of integers that are less than 20 {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19} a) How many numbers are even? b) How many numbers are odd and a multiple of 3? c) How many numbers are not a multiple of 3 and even? = Numbers below 20 A B A = Odd Numbers B = Multiples of 3

8. Lets think about the set of integers that are less than 20 {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19} a) How many numbers are even? b) How many numbers are odd and a multiple of 3? c) How many numbers are not a multiple of 3 and even? = Numbers below 20 A B A = Odd Numbers B = Multiples of 3

9. The numbers would go into the Venn diagrams like this = Numbers below 20 A = Odd Numbers B = Multiples of 3 A B 7 2 9 12 19 4 11 15 8 5 3 18 10 6 17 14 13 16

10. Complete these Venn diagrams. = Boy Wears glasses Jess Anna May Jo Tom Rob Pete = 3, 4, 5, 7, 10, 12, 13, 15, 20, 24, 25 Multiple of 5 Odd

11. Complete the Venn diagram. = Boy Wears glasses Jess Anna Tom Pete Jess Rob May Jo Tom May Jo Anna Rob Pete = 3, 4, 5, 7, 10, 12, 13, 15, 20, 24, 25 Multiple of 5 Odd 3 5 15 25 10 20 7 13 4 12 24

12. Creating Venn Diagrams A B

13. These possibilities are known as mutually exclusive What s wrong with these Venn Diagrams? Human Insect What should these Venn diagrams look like?

14. What events could A & B represent here?

15. = {numbers less than 100} Challenge