Saturday, May 14, 2011

The Richest Number and Other Math Review

Last week we were working through some math exercises and review from the book, Math Lessons for Elementary Grades by Dorothy Harrer.  The Richest Number story we worked through was also used in Melisa Neilson's A Journey Through Waldorf Math book which is where I got the idea to use number "gnomes".

On Monday, we took some time in the morning to plant the fairy garden for this year. 



After that, we made our way into the school room and Grant did some review using two number, and one operations dice, to give him problems to work out. Once we had done that for awhile, we moved on to practicing the penny whistle.

After that I read Grant this story:

Once upon a time various numbers were moving about in a beautiful number palace where many steps led up to a golden throne.  Each of the numbers wanted to sit on the throne, rule over the other numbers, and be the most important one.  Not one of them wanted to say, "I am not as great as you are."

Number One said, "I stand first before all of you!
To me the royal throne is due.
When we are counted, you will see
That all of you just follow me."

"I don't agree," said Number Two
"for I am more than you!"

Number Four
Stamped on the floor
And gave a roar,
"I am more
Than One or Two!"

And Six cried out,
"What's this about?
Just look at me
And you will see!"

Eight shouted, "I'm as rich as Six
And do as many tricks."

Number Nine said, "That is fine
But I am higher in the line!"

Then number Twelve said, "Let us see
How many numbers there will be
In all of me."

Thirteen claimed he should be King
For he had more of everything.

At this point I let Grant think for awhile about which number he thought should be King.  Afterward we worked it out.  Grant in his lesson book, and me on the chalkboard.




We found the richest number to be 12 since you could get to 12 by counting the most ways. By 1's, 2's, 3's, 4's 6's and 12's.

We also reviewed even and odd numbers using an exercise in the Dorothy Harrer book.


On Tuesday and Wednesday, we continued to work through the story.  

Now that 12 was King, he ordered all the lesser numbers to share, equally, with him the work of his kingdom.  First, he proclaimed that they had 6 days for work and the 7th for rest.  At least 2 of the numbers had to be in command on each of the 6 days.

Next, they had to divide up equally into 2 groups of guards to guard the King's palace by day and knight.

Then they had to divide into 3 equal groups for 3 kinds of jobs:
  • Reading from the Books of Wisdom
  • Singing Songs of Joy
  • Marching in Palace Parades
They had to divide into 4 groups for 4 different occupations:
  • Plowing the earth
  • Making fire in the stoves
  • Carrying water from the wells
  • Airing the rooms of the palace
Finally, they had to divide up so that there was someone to stand in the palace tower and call out each hour of the day.

And that was the way King Twelve shared the work of his kingdom!

I illustrated all of the above on the chalkboard, and Grant copied it into his lesson book, along with the addition problems to go with each grouping.


Grant's Drawings



On Thursday, we went back to The Richest Number to have Grant do the same calculations using division and multiplication, and we worked on some more math problems.


We also reviewed math throughout the week by playing the game, Sum Swamp, playing the Lots of Boxes game (which we have played before), and reviewing the times table tunes.

I also read the kids this fun book on Thursday:


All three of them enjoyed this book!  I wanted to read another "butterfly related" book, and do a butterfly craft/activity on Friday, but we just didn't get to it.  I guess I will save that for next week! We are also awaiting the arrival of some caterpillars to go into our butterfly garden (like the one below) so we can watch the caterpillars up close as they change into butterflies.


Should be fun!

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