# Algebra Rap

This algebra rap is something that I’ve been working on with Alpha-Adventurer 9 and Alpha-Adventurer 22 for the past week. Our task was to create a algebra rap that uses mathematical language and that also teaches people about how to solve an algebraic equation. We decided to create a lyric video to present our rap. Hope you like it!

# Obesity

This is my personal inquiry for this unit, Who We Are. I included the lines of inquiry in my inquiry. The lines of inquiry for this unit are:
-the changes that occur in the human body
-factors that cause our bodies to change
-actions that effect personal wellbeing
These three things all relate to the key concepts:
-change
-responsibility
-causation
We had to base our research on one specific change, and I chose ‘obesity’. I researched about what it is, what causes it, what is fat, what it causes and how you can prevent obesity. We followed the inquiry circle (tuning in, finding out, sorting out, going further, making conclusions and taking action) to complete this task, but we didn’t do ‘taking action’. Through this process, I learnt a lot about obesity.
Here is my inquiry. The first one is my original one and the second page is flipped over because I decided to make a brochure this time, so in order for me to be able to fold it properly when I print it out, I had to flip it over. The second part is a screen shot, and I have flipped over the second page so both pages are the right side up.

# Crossing the River

The math problem:

On the weekend, friends of mine went camping. They were camping on a small island in the middle of the lake. There were eight adults and two children in all.

When they went to cross the lake and return home their boat was missing. They searched and searched but all they could find was an old canoe. It wasn’t as big as the boat and they were worried it wouldn’t carry them all. So, they tested it and found the boat could carry either:

• One or two children

At first they thought some of them would be stranded forever, but finally, they figured out how to get them all safely across the lake.

Can you figure it out?

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Repeat the problem using counters. I want to know the number of crossings it takes to shift the 8 adults and 2 children.

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What if one of the adults was sick and didn’t end up going camping? How would that change the number of crossing?

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Let’s adjust the number of adults. How does the number of crossings change when the number of adults changes? Record all your data. Can you find an algebraic pattern?

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Today our teacher gave us a math problem to solve. We had to work in groups to solve it out. Here is how my group solved this problem:

Firstly, we got counters to experiment with the different possibilities. After trying for a while, we eventually came up with the solution. The solution is letting both children first get across the lake, then bringing one back to the island. Next, one adult goes over and the other child goes back to the island. The whole “cycle” begins again afterwards until everyone is across the lake.

Secondly, we started again to count how many crossings it would take for all of them to get back to their destination. We counted 33 crossings in total with eight adults and two children.

After that, we tried step two again with seven adults and two children. Using the same way to cross the river with seven adults and two children, we found out that that would take up 29 crossings, back and forth. After some thinking, we figured out the pattern in the problem. The pattern turned out to be 4n + 1 = number of crossings.

Lastly, to make it even more clear for us, we started to try this five times, all with different number of adults but keeping two children. The first time, we did it with three adults. 3 x 4 is 12 and 12 + 1 is 13 so the number of crossings for three adults and two children would be thirteen. Then, we tried it with 6. 6 x 4 + 1 = 17. We also tried it with 9, 10 and 5 using the same pattern.

This problem was helpful because it helped me with me algebra skills and it was fun and engaging for me to do. I hope this helped you a little too!