Rosey: shivering Look at this problem! Can you help me? It's like a ghost is haunting my brain!
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?
What's the equation for "The sum of all prime numbers between 1 and 50"?
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
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?
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?
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!
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.
Yeah. Now let’s do the next one.
Okay! What's the next word problem?
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?
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.
2+4+6+8+10+12+14+16+18 = 90
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.
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!
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!
Okay, bye! 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.
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!
walking away Okay, I'm off to my next class. See you later, Silent_Dreamer!
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.