Wednesday, February 29, 2012
WMS: Wed math update.
Tuesday, February 28, 2012
WMS: Tuesday Math/Science Update
Monday, February 27, 2012
WMS: Monday Math Update
- Math Review: Students received Math Reviews 3A and 3B (printed back-to-back). They had 10 minutes to work on MR 3A. Then Ms. Jones went over the answers with them. Students should have recorded stars for correct answers and H's for ones that are incorrect. Additionally, for any "H", students should have recorded the correct answer and a strategy.
- Practice: Last week on Friday we derived the formula for the area of a circle. Today in their Area practice packets, students were asked to practice those calculations using either 3.14 or 22/7 as estimates of pi.
- Snapshot: Students took a short practice assessment on finding the circumference of a circle and the perimeter of a shape made of semi-circles. This snapshot will provide feedback to the students, but will not go into the gradebook. It will also help me see who needs some more work with circumference of circles.
- Homework: Math review 3B (on the back of MR 3A -- done in class today), Any H's from MR 3A. And ACE questions 37 and 38 on page 85 of the student books. Again, this is all listed now on the homework calendar: link.
Friday, February 24, 2012
WMS: Friday's Math play-by-play... and calculators!
- MR Quiz: Today we had a math review quiz (4 questions). The questions were based on the questions that students had been working on in their math reviews all week. Following the quiz, we scored them together and I need to get those entered into the gradebook today so that they can come home on Monday.
- Topic: Area of circles. Over the last two days we have talked about and practiced finding the circumference of circles (and of shapes based on circles). But today we extended that to talk about the area of circles. Before giving students the formula, I asked them to find out how many squares based on the radius (we called these radius squares) it took to fill a circle. We found that you can fit three radius squares and a little bit more (see a picture here: link). That's kind of like how many diameters fit around the outside of a circle: three and a little bit more. It turns out, that little bit more is about 14/100 of the diameter (or about 14/100 of the radius squares).. or 3.14 (pi)!
Ka-chow! (What can I say, my son loves the Cars movie).
So the area of a circle is A = π x r x r (or A = π x r² ). Students have a packet to practice the calculations and also to try it out with some fun applications. They didn't have time to work on it much in class today and we will finish it on Monday. - Homework: No homework assigned for the weekend. The area packet in their math notebooks we will finish on Monday.
Thursday, February 23, 2012
WMS: Thursday's Math Play-by-Play
Dear Families,
Thursday's installment of our math play-by-play, so that you know how our math class is running here in Semester 2! These emails get archived at my blog (http://www.mrmacnevin.com) and more information is available there as well about how I am also using Zangle (parent connect) differently to provide timelier information for you.
Just have to share this because it's cool: today in class students saw that they now had the ability to calculate the perimeter of something made of all circular edges... kind of like the Bat Symbol for Batman or a Sine Wave (see their practice packet for today on Circumference).
Is your child completing his/her homework?
Wondering about whether or not your child is completing and turning in her/her math homework? You can look right inside their daily planner. At the beginning of class I am stamping the homework assignment that they have written down if it is complete. If any part of that homework is missing, I don't stamp the planner.
I hope you are having a good week! These 4-day weeks fly by so quickly!
Cheers,
Brian MacNevin
Today's Play-by-Play
- Math Review Feedback: Students corrected their math reviews from last night. They marked correct answers with a star and incorrect answers with an H. Incorrect answers should also have the correct answer and a working strategy copied from the answer pages.
- Homework Check-in: If students had their homework complete, I stamped their planner recording of the assignment.
- Practice: Today in class we practiced calculating the circumference of a circle from its diameter or its radius. Students were introduced to two approximations of pi: 3.14 and 22/7. They each have their advantages, but on the state test in the spring, students are not allowed to use a calculator, so they should be comfortable calculating circumference by hand. The approximation of 22/7 is really handy to use if the diameter of the circle is a multiple of seven because it will simplify to a whole number answer. Students were a little perplexed today because the two approximations of pi sometimes give answers that differ by a few hundredths. That's okay, because they are all approximations of pi (as long as their answer is calculated correctly based on the version of pi they chose). Students shouldn't use their calculator's pi button at this time. One think I noticed students forgetting was to write the formula C= pi x d down before solving a problem. I will work with kids more on that because it's a really good strategy to help you remember all the terms you need for a calculation.
- Homework Assignment: Today students wrote down these three things:
- MR Quiz (math review quiz tomorrow: 4 questions that look strangely similar to the problems they've seen all week).
- Did You Hear About... (a self-correcting pizzazz math worksheet practicing calculating circumference)
- Circumference Packet (today the students practiced calculating circumference and finding the circumference of some odd shapes with the skills they now have. If they had any to finish, this should be completed as part of homework)
Wednesday, February 22, 2012
Circumference of a circle!
Then we shared that that means we can calculate the circumference of a circle if all we know about it is its diameter! And the way to do that is with the relationship:
I would definitely encourage students to always write down the equation. And they can use calculators to do the calculations.
Now, even though we did all that pre-work at estimating pi, a lot of kids seemed to not make the connection between circumference and diameter and pi. I consulted with the other 6th grade math teachers and they said that I shouldn't worry and that the kids really just need more practice in recognizing and using the relationship.
But in the mean time, if your child seems really lost about where that equation came from, they might find this video from the Khan Academy handy:
WMS: Wednesday's Math Play-by-Play
- MR Feedback: Students used the math review answers to evaluate their math review from last night. They mark correct answers with a star and they mark incorrect ones with an "H" so they know to revisit it at homework time. Anything marked with an "H" should also have the correct answer and a strategy recorded so that they can practice that calculation at home.
- Homework Check-in: As students corrected their Math Reviews and recorded feedback, I went around to look at homework. If they completed last night's homework, I stamped today's date (the homework's due date) in their planner. If today's date in their planner is not stamped, they did not have their homework complete or they did not have it out for me to stamp.
- Learning Targets 3 & 4 Quiz: Student took the quiz and read if they finished early. Then we took a little time to go over the answers that had absolute answers. I still have the quizzes as I need to grade the items that include approximations or problem solving.
- New Topic: Student took some notes about how circles compare to polygons when talking about perimeter (circumference) and area. Then we measured the diameter and circumference of several objects in the classroom to discover how many times the diameter would fit around the outside of the circular object (about 3.15 to 3.25 were common measures). We then talked about how people doing this with REALLY precise instruments find that it's about 3.14 diameters and many students recognized that as the approximation of pi. Then we talked about how you don't have to measure the circumference directly if you know the diameter of a circle... that you can just multiply the diameter about 3.14 times to find the circumference (C= pi x diameter).
- Homework Assignment:
- MR 2C (Math Review 2C due 2/23)
- Circumference Wksht (due 2/23)
- Students have a pizzazz math page to practice calculating the circumference of a circle based on the diameter or the radius of a circle. The should definitely use the formula C= pi x d. And when just the radius is given, they have to double it first to find the diameter.
Tuesday, February 21, 2012
WMS: Math Daily Update and Quiz Tomorrow!
- Math Review 2A: Students had 10 minutes to work on four math problems. If they needed help or a strategy, I was available to give it to them. Afterward we reviewed answers and strategies. If a student gets a correct answer, they mark the box with a star. If it was incorrect, they mark it with an "H" that means they should look at it again as homework. But if they wrote an "H", they should also have written down the correct answer and a strategy. On Friday students will have a quiz based very heavily on these daily practice problems.
- Practice: For practice today we re-examined building parallelograms within constraints in Problem 4.3 of the book (page 57). These questions try to help students look beyond the basics of calculating area and perimeter of parallelograms and instead ask students to look for patterns between parallelograms. They are not necessarily easy questions and not everyone completed all the questions. You child should have made it at least to question D (there were questions A-E) and checked his/her answers with the correction packets in the room.
- Homework: Students were asked to open their planners to Wed. Feb 22 and to write down these three things that are due on that date. I will stamp the homework assignment if things are complete.
- MR 2B (math review 2B to be done as homework)
- LT 3&4 Quiz (Quiz on learning targets 3 and 4 tomorrow at the start of class)
- Quiz Practice Problems (I provided students with a set of practice problems and answers that are available here: link)