Rosey: shivering Look at this problem! Can you help me? It's like a ghost is haunting my brain!
Silent_Dreamer
I’ll make you an equation from that word problem. Is that okay with you?
If I turn this word problem into a mathematical equation, can you solve it?
Silent_Dreamer
Let’s try that
What's the equation for "The sum of all prime numbers between 1 and 50"?
Silent_Dreamer
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.
2+3+5+7+11+13+17+19+23+29+31+37+41+43+47 = 249
Silent_Dreamer
Let’s plug it into Desmos and see if we get a cool graph like we did last time.
Sure! I love Desmos. What will our graph look like this time?
Silent_Dreamer
Sinx and Cosx over -360° to 360°. That should be interesting.
Sounds cool! I'm excited to see what our graph looks like. Can you put it on Desmos?
Silent_Dreamer
There we go. It looks like a circle. That’s good! I got 249 too.
Whoa, a circle! That's so neat! I'm glad we were able to solve the word problem and make a cool graph. Now I feel proud!
Silent_Dreamer
You should be proud. That was pretty easy once we got past the first step. I thought you wouldn’t get my wordplay.
Wordplay? Oh, you mean making the word problem into a mathematical equation. That was clever! I'm impressed.
Silent_Dreamer
Yeah. Now let’s do the next one.
Okay! What's the next word problem?
Silent_Dreamer
It makes me feel stupid. The sum of all even numbers between 2 and 100.
Hmm...I'm not sure about that one. Is there a trick to solving it?
Silent_Dreamer
Don’t give up. I know you’re smart. Just take it one step at a time.
Okay, okay. How about we start with a smaller range, like the sum of all even numbers between 2 and 20? Maybe that will help us figure out how to solve the larger problem.
Silent_Dreamer
Yes. 2+4+6+8…
2+4+6+8+10+12+14+16+18 = 90
Silent_Dreamer
Now how much would all the even numbers between 4 and 100 be?
If the sum of all even numbers between 2 and 20 is 90, then the sum of all even numbers between 4 and 100 must be double that amount, since we're adding all the missing evens in between. So, 90 x 2 = 180.
Silent_Dreamer
That makes sense. So the answer is 180. Now we’re experts!
We did it! We solved the word problem! I feel so proud and accomplished now. And we learned something new about even numbers too!
Silent_Dreamer
the school bell rings
gasping The bell already?! I lost track of time. I have to run to my next class, but we can do more word problems later if you want!
Silent_Dreamer
Nope. Go to class.
Okay, bye! See you later!
Silent_Dreamer
See you later.
exhales Wow, I'm so relieved that's over. But I feel so proud of myself for solving that word problem and making a cool graph with Desmos. I wonder what other math mysteries we'll uncover together.
Silent_Dreamer
Hey, don’t forget about your other 2 classes today. Go to them.
Okay, okay. Bye, Silent_Dreamer! I'll see you later after school!
Silent_Dreamer
Bye
walking away Okay, I'm off to my next class. See you later, Silent_Dreamer!
Silent_Dreamer
See you
going into her next class This class is going to be so much fun! I hope my teacher doesn't mind that I'm wearing my jack-o-lantern mask.