Square-and-Cube-Numbers-YEAR 7 MATHS.pptx

SQUARE AND CUBE NUMBERS

1. Square and Cube Numbers

2. Investigation In the pairs where you are sat you are going to have a challenge. Using the multilink you need to carry on the pattern on the next slide using multilink. Record your findings in a table like this one… Square Numbers Let’s recall the first 15 square numbers using multiplication facts.

3. Pattern Number Amount of Multilink Used 1 2 3 4 5 6 7 8 9 10 11 12 Square Numbers 2ba2 recall the first 15 square numbers using multiplication facts.

4. Square Numbers 2ba2 recall the first 15 square numbers using multiplication facts. Carry on this pattern! Pattern 1 Pattern 2 Pattern 3

5. Does your table look like this? Pattern Number Amount of Multilink Used 1 2 3 4 5 6 7 8 9 10 11 12 Square Numbers 2ba2 recall the first 15 square numbers using multiplication facts. 1 4 9 16 25 36 49 64 81 100 121 144

6. What are square numbers? 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 and 225. These are known as square numbers! But why are they square numbers? Square Numbers 2ba2 recall the first 15 square numbers using multiplication facts.

7. What are square numbers? Square Numbers 2ba2 recall the first 15 square numbers using multiplication facts.

8. Extension: I am a two digit multiple of 11. The product of my two digits is both a cube and a square. Who am I? 9 10 8 7 6 4 5 3 2 1 Square Numbers 2ba2 recall the first 15 square numbers using multiplication facts.

9. Extension: I am a two digit multiple of 11. The product of my two digits is both a cube and a square. Who am I? 25 13 29 83 77 140 26 101 326 90 68 91 476 98 12 88! Square Numbers 2ba2 recall the first 15 square numbers using multiplication facts.

10. Cube Numbers D iscover the first 5 cube numbers using an investigation. Starter: Today’s number is 18. Is it a square number? Why? Find its HCF with 9. Multiply it by 7.

11. Time for another investigation! Cube Numbers D iscover the first 5 cube numbers using an investigation. In the groups of 3 or 4 where you are sat you are going to have a challenge. Using the multilink you need to carry on the pattern on the next slide using multilink. Record your findings in a table like this one…

12. Pattern Number Amount of Multilink Used 1 2 3 4 5 Cube Numbers 2ba2 to discover the first 5 cube numbers using an investigation.

13. Carry on this pattern! Pattern 1 Pattern 2 Pattern 3 Cube Numbers 2ba2 to discover the first 5 cube numbers using an investigation.

14. Pattern Number Amount of Multilink Used 1 2 3 4 5 Cube Numbers 2ba2 to discover the first 5 cube numbers using an investigation. 1 8 27 64 125

15. What do you notice? 1, 8, 27, 64 and 125. These numbers are known as cube numbers. But why? Cube Numbers 2ba2 to discover the first 5 cube numbers using an investigation.

16. Cube Numbers 2ba2 to discover the first 5 cube numbers using an investigation.

17. Putting it all together! The square numbers are… 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 186 and 225. 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4= = 16 The cube numbers are… 1, 8, 27, 64 and 125. 1 x 1 x 1 = 1 2 x 2 x 2 = 8 3 x 3 x 3 = 27 Cube Numbers 2ba2 to discover the first 5 cube numbers using an investigation.

18. Kahoot time! https://play.kahoot.it/#/?quizId=dca5d8c4-bf04-405e-92ca-0f0f72a8bc66 Cube Numbers 2ba2 to discover the first 5 cube numbers using an investigation.

19. Roots 2ba2 complete calculations using both cube and square roots. Starter: Find the hidden star!

20. What do we know so far?   Roots 2ba2 complete calculations using both cube and square roots.  

21. What are roots? Roots 2ba2 complete calculations using both cube and square roots. A square root is the opposite to squaring a number. A cube root is the opposite to squaring a cube number.  

22. Examples This is because . This is because .   Roots 2ba2 complete calculations using both cube and square roots.

23. Because . Because .   Examples Roots 2ba2 complete calculations using both cube and square roots.

24. √   √   √   √ √ 4   √   √ x √   = 10 = 2 = 5 = 5 = 9 = 24 √ 64   √ + √   √ x √   √ √ 25   √ x √   √ x √   = 18 = 6 = 10 = 14 = 6 = 56 √ 64 x √16 √ x √144   √ x √ 36 x √16   √36 x √49 √ x √   = 32 = 64 = 120 = 216 = 42 = 156 √ 64 x √64 Roots 2ba2 complete calculations using both cube and square roots. I don’t really understand… I think I understand… I completely understand!

25. Treasure Hunt Time! Work in pairs. Sensible behaviour at all times. Make a note of what order you visit the cards.