Monday, April 26, 2010

Step-Stomp Stride, Voices in History

Over this last nine weeks we have been busy reading, writing, discussing, and thinking critically.  We found out that ancient Greece is known as the "birthplace of democracy," but upon further investigation students were shocked to learn that women, slaves, immigrants, and poor people were not allowed to vote. This has lead to books and conversations about other times in history when people were treated unfairly and how those groups of people were able to gain equal rights. One of the books we read was about Sojourner Truth called Step-Stomp Stride by Andrea Davis Pinkney. Sojourner Truth was a brave women who not only worked for equal rights for African Americans, but she also worked for women's rights.

We are writing I AM poems in reponse to this book and are creating collages in the Art Studio with Mary Lou to accompany our poetry. Here is a glimpse at the first few lines in a few of our poems:

I am Strong 
By : Caleb Evans 

I am Sojourner Truth.
I wonder why they treat me so terribly.
I hear threats from the white people.
I see millions of sad black people.
I want to hear the truth not lies.
I am tired of being beaten.

I pretend that I do not feel sad for the black people like me 
I feel angry for what they did to me 
I touch the future with a blessing of hope 
I worry about my friends and if they will survive.
I cry to see my back whipped by the slave catchers and their anger & hatred 
I am big, black, and beautiful.

I am the Fire Within… 
By: Hannah Anderson 

I am a women who opened a door to freedom.
I wonder if whites will follow my freedom beliefs.
I hear the words I scream out in court with courage & hope on my side.
I see the darkness in whites eyes.
I want my heart to lead the way.
I am a women that opened your door to freedom.

I pretend not to know whites but I do fight back.
I feel the rain the shower me with to put fire of freedom out.
I touch freedom right here oh barely, just barely child.
I worry about the choices I make , am I doing the right thing? 

Tangram Puzzles

Tangram-set-blueplas.jpg
Tangrams are a Chinese dissection puzzle consisting of seven flat shapes, called tans, which are put together to form shapes. The objective of the puzzle is to form a specific shape (given only in outline or silhouette) using all seven pieces, which may not overlap.

Check out the Tangram math tasks we've been working on:
Mr. Infin Ity, a mathematician, is in love with tangrams. He wants to use tangram shaped tiles to decorate the floor of his office. If one small triangle tile costs $0.75, how much would you infer the other shapes cost? How much would it cost to fill the square with small triangles? Explain your thinking use words, pictures, and numbers. Remember to use evidence to justify your inferences.

Here is Anna Grace's work:




The second part to the problem:
At a second store, Mr. Infin Ity found the large triangle tile costs $1.40. How much would you infer the other shapes cost? How much would it cost to fill the square with large triangles? Explain your thinking use words, pictures, and numbers. Remember to use evidence to justify your inferences.



The third part to the problem:
At a third store, Mr. Infin Ity found the parallelogram tile costs $0.96. How much would you infer the other shapes cost? Explain your thinking use words, pictures, and numbers. Remember to use evidence to justify your inferences.

Take a look at how Anna Grace's recording has changed from the first task. Now she is generalizing about the relationship between the shapes, rather than simply focusing on the cost. Her recording reminds me of a geometry proof:









THE CHALLENGE:
Mr. Infin Ity has calculated that at the final store all the pieces needed to form the large square would cost $8.00. How much does each piece cost?

Henry uses "guess and check" to solve the first time:




To get Henry thinking more algebraically, I asked, "Is there a more efficient strategy than using guess and check? What if you were given any cost for the entire square? What would your strategy be?


Charlie's thinking at first:



To get Charlie thinking more algebraically, I asked, "What if you were given any cost for the entire square? How could record a series of steps that would work for any whole square?" Notice how Charlie uses abbreviations to communicate his thinking:


H=Whole squaure
BT=Big triangle
MT=Medium triangle
SQ=Square
P= Parallelogram
ST=Small triangle

Here's Liam's recording to explain what he discovered about the relationship between the area of the square, parallelogram, and medium triangle:


Watch a video of Liam explain his thinking and recording: