Sunday, May 28, 2017
Wednesday, May 24, 2017
Khan academy is good for some geometry skills
https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/area-circumference-circle/v/area-of-a-circle
Khan academy site about area of circle
Sunday, May 14, 2017
Some prime number visualisations
Monday, May 1, 2017
Number tasks
Number tasks
Tasks for number study:
1.)
Project. Create a stand-alone web page that illustrates some part of the history of numbers. It should have at least 5 pictures and contain tables, lists and a small form. (You do not have to use the results of the form.) A total of 10 different tags should be used. Be prepared to talk to the class about your page. Think about colour, layout, style, tone, grammar and spelling. This is worth 4% of the final assessment. Due 12th May at 23:55.
2)Write a spreadsheet which graphs y=3*x from x=0 to x=20. Take a screenshot for your blog.
3)Also do y = x+4, y=x-2, y=2*x, y=2*x + 1, y = 3*x, y= 3*x +2, y= 3*x – 2, y= 5*x, y = 100*x, y = -2*x. Put the graphs into your blog .Do a table with x from x=0 to x=20.
3.5) Write a paragraph in your blog explaining how the Sieve of Eratosthanes works. Construct a table that shows the Sieve and write down the first 20 prime numbers. If possible use colour and fonts to show the number patterns.
Prime numbers. Put your answers into your blog.
4) Construct a list of all the prime numbers between 1 and 100 using the Sieve of Eratosthanes.
5) Construct a Sieve of Eratosthanes using a spreadsheet where the primes are coloured differently and all the even numbers have the same colour.
6) Find a list of primes on the Internet. Make a screen shot of this list and put into your blog.
7) Find the biggest prime number so far.
8) Write out all the numbers between 30 and 50 as a product of primes.
9) Goldbach's conjecture. Write out all the even numbers between 20 and 50 as the sum of two primes.
10)Randoms
Generate a list 200 random numbers between 0 and 100 using RANDBETWEEN()
Add up the numbers in your list. What is the average number? Can you work out how to graph this list.
10.1)Randoms
Generate a list 100 random numbers between 0 and 1000 using RANDBETWEEN()
Add up the numbers in your list. What is the average number? Can you work out how to graph this list.
10.2)Randoms
What is the longest list of randoms between 1 and 100 you can do in Excel using RANDBETWEEN().
Add up the numbers in your list. What is the average number? Can you work out how to graph this list.
11) Randoms
Generate a list 200 random numbers between 0 and 100 using RANDBETWEEN()
Add up the numbers in your list. What is the average number? Can you work out how to graph this list.
12) Do the same as above but this time use 600 random numbers between 1 and 6. This is simulation for dice. Use COUNTIF() to count the number of 1’s, 2’s, … 6’s thrown . Copy your results into a HTML table for your blog and add a sentence about what’s in the table. What were you expecting?
13) Repeat, but this time simulate 1000 tosses of a coin. (So you just want a big list or 0,s and 1,s). Write up your results in the same way.
14) Make a list of 100 random numbers between 0 and 100. Add them up and divide by 100 to give you the average. You can recalculate several times by pressing F9. Put in your blog three different averages with a suitable sentence.
15. Pythagorus. Make up a spreadsheet that can calculate the hypotenuse of a right angled triangle when you put in the other two sides.
16. Sam as above but this time you put in the hypotenuse and one side and it calculates the other side.
17. Make up a spreadsheet that will calculate a list of sine and cosine of angles from 0 degrees to 90 degrees in steps of one degree.
1.)
Project. Create a stand-alone web page that illustrates some part of the history of numbers. It should have at least 5 pictures and contain tables, lists and a small form. (You do not have to use the results of the form.) A total of 10 different tags should be used. Be prepared to talk to the class about your page. Think about colour, layout, style, tone, grammar and spelling. This is worth 4% of the final assessment. Due 12th May at 23:55.
2)Write a spreadsheet which graphs y=3*x from x=0 to x=20. Take a screenshot for your blog.
3)Also do y = x+4, y=x-2, y=2*x, y=2*x + 1, y = 3*x, y= 3*x +2, y= 3*x – 2, y= 5*x, y = 100*x, y = -2*x. Put the graphs into your blog .Do a table with x from x=0 to x=20.
3.5) Write a paragraph in your blog explaining how the Sieve of Eratosthanes works. Construct a table that shows the Sieve and write down the first 20 prime numbers. If possible use colour and fonts to show the number patterns.
Prime numbers. Put your answers into your blog.
4) Construct a list of all the prime numbers between 1 and 100 using the Sieve of Eratosthanes.
5) Construct a Sieve of Eratosthanes using a spreadsheet where the primes are coloured differently and all the even numbers have the same colour.
6) Find a list of primes on the Internet. Make a screen shot of this list and put into your blog.
7) Find the biggest prime number so far.
8) Write out all the numbers between 30 and 50 as a product of primes.
9) Goldbach's conjecture. Write out all the even numbers between 20 and 50 as the sum of two primes.
10)Randoms
Generate a list 200 random numbers between 0 and 100 using RANDBETWEEN()
Add up the numbers in your list. What is the average number? Can you work out how to graph this list.
10.1)Randoms
Generate a list 100 random numbers between 0 and 1000 using RANDBETWEEN()
Add up the numbers in your list. What is the average number? Can you work out how to graph this list.
10.2)Randoms
What is the longest list of randoms between 1 and 100 you can do in Excel using RANDBETWEEN().
Add up the numbers in your list. What is the average number? Can you work out how to graph this list.
11) Randoms
Generate a list 200 random numbers between 0 and 100 using RANDBETWEEN()
Add up the numbers in your list. What is the average number? Can you work out how to graph this list.
12) Do the same as above but this time use 600 random numbers between 1 and 6. This is simulation for dice. Use COUNTIF() to count the number of 1’s, 2’s, … 6’s thrown . Copy your results into a HTML table for your blog and add a sentence about what’s in the table. What were you expecting?
13) Repeat, but this time simulate 1000 tosses of a coin. (So you just want a big list or 0,s and 1,s). Write up your results in the same way.
14) Make a list of 100 random numbers between 0 and 100. Add them up and divide by 100 to give you the average. You can recalculate several times by pressing F9. Put in your blog three different averages with a suitable sentence.
15. Pythagorus. Make up a spreadsheet that can calculate the hypotenuse of a right angled triangle when you put in the other two sides.
16. Sam as above but this time you put in the hypotenuse and one side and it calculates the other side.
17. Make up a spreadsheet that will calculate a list of sine and cosine of angles from 0 degrees to 90 degrees in steps of one degree.
Some numbers make a pattern
Some numbers make a pattern.
- x y
- 1 1
- 2 2
- 3 3
- 4 4
- 5 5
Some numbers are random
The sieve of Eratosthanes
Some we have to check for patterns
There are all sorts of ways to generate (pseudo) random numbers.
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