maths mastery
DESCRIPTION
Maths Mastery . What other (total) numbers of spots are possible with these two ladybirds? How about different spotted ladybirds? Investigate… . Explore for other digits, or 5 starting numbers…. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/1.jpg)
Maths Mastery
![Page 2: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/2.jpg)
What other (total) numbers of spots are possible with these two ladybirds?
How about different spotted ladybirds?
Investigate…
![Page 3: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/3.jpg)
Explore for other digits, or 5 starting numbers…
![Page 4: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/4.jpg)
Here are some number sequences you get when you follow certain rules, such as adding digits together and multiplying by 3 or 5…
Investigate some other rules…
![Page 5: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/5.jpg)
![Page 6: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/6.jpg)
Could you create a puzzle like this, maybe with different multiples?
![Page 7: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/7.jpg)
You don’t necessarily need a grid for this!
For example, with 12 counters you can make a few different rectangles eg 3x4 and 2x6…
Extend this to more than 18 counters.
![Page 8: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/8.jpg)
Can you make a puzzle like this?
![Page 9: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/9.jpg)
Make other puzzles like this with different rules…
![Page 10: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/10.jpg)
What if we choose different numbers eg 2 to 7 or evens from 2 to 12? How does this affect the numbers in the centre?
What if we change the shape?
![Page 11: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/11.jpg)
So if you can make a square, that is best, followed by rectangle, or failing that, a stick…
What can you say about each type of number?
![Page 12: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/12.jpg)
What can you say about Alice’s sums? Extend to longer tracks…
![Page 13: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/13.jpg)
![Page 14: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/14.jpg)
How can you tell is your cards will make a number that can be divided by 3?
How can you make this game more challenging or more interesting?
Invent some new rules that make it more fun!
![Page 15: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/15.jpg)
![Page 16: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/16.jpg)
Can you see any patterns?
Investigate for other stick lengths…
![Page 17: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/17.jpg)
Explore different ways of showing your results..
You might want to start with drawing pictures of odd + even
Extend to multiplication… eg what happens when you do odd x even?
![Page 18: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/18.jpg)
Investigate other stuff to do with square numbers…
For example, are they odd or even or both? Why?
Is there any pattern in the sequence of square numbers?
Can you add two square numbers to make other square numbers?
Etc etc…
![Page 19: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/19.jpg)
![Page 20: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/20.jpg)
![Page 21: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/21.jpg)
![Page 22: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/22.jpg)
![Page 23: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/23.jpg)
![Page 24: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/24.jpg)
![Page 25: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/25.jpg)
![Page 26: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/26.jpg)
![Page 27: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/27.jpg)
![Page 28: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/28.jpg)
How can we extend this investigation?
Change the shape? What else?
![Page 29: Maths Mastery](https://reader035.vdocument.in/reader035/viewer/2022062218/568160e6550346895dd019c9/html5/thumbnails/29.jpg)