Lesson on Nets with 3-D Objects

I had a good little lesson on introducing nets to gr.8's.  I looked at the investigate in the textbook and then expanded on it.  I had the class in groups of 3 and each student in each group had a different object.  The students were instructed to trace each face of the object onto a piece of paper and then label each face A, B, C, ....  They were then asked to cut out each face.  With the face pieces, I then asked them to arrange the faces in a way that if it was drawn on the paper, it could be cut out and folded to create their object.  Once they thought they had it they were to trace it onto a new sheet paper, using solid lines for the lines that should be cut and dotted lines for those that should be folded.  Once they were done, I collected them all and then randomly handed them out.  Each student was then to cut out and fold on the lines according to how the other student had drawn it.  They were not allowed to change anything and they had to see if they could actually create the figure.  Most of them worked, but not all of them.  This was a great learning tool for a few people that were struggling with getting them drawn.  Once they actually had one to build, it "clicked" for almost everyone.  Once each object was built, they were to put them up on the board, and the student that the object originally belonged to went up to the board and drew their "net" beside the object.  This again was a great teaching tool, using all the examples on the board, I was now able to explain what a net is and how there can be different nets for one particular object.  Many students struggle with nets, so I definitely think this hands on activity helped all the students learn and understand how to create a net much better than if I had just taught the lesson traditionally.

A few different ideas for The Pythagorean Theorem

We have been learning about the pythagorean theorem and the area of the squares of the sides of a right triangle.  I found a cool little jigsaw puzzle that shows the idea.  I have been giving the students 5-10 minutes at the beginning of each class throughout the unit to try and figure it out.  It is quite interesting, one student figured it out within the first class.  But none of the other students have figured it out yet.  I have math first block, so it is a great way to get the students to wake up and get them interested.  They are all into it and it really bugs them that they can't figure it out.  I have a few students that are working on it at home, but still haven't got it. 

                                                         

Next was practicing Pythagorean Triples.  Rather than just giving them a bunch to try out on a sheet of paper, we did a little sticky note activity.  I created 10 or so triples, then put them in a chart.  I took out 1 or 2 numbers from each triplet.  I then put the class in groups and gave them each a section of the board and some sticky notes.  I then gave them the missing numbers and got them to write each number on a sticky note.  I then got them to write the chart, with the blanks, on the board.  Once every group was at this point, I made it a race, and had them complete each triplet.  It was just another way for them to practice using the pytahgorean theorem with a little bit more excitement.

I have now started a little activity outside to show the practical use of The Pythagorean Theorem.  We are having a kite flying competition, where they need to determine the height of the kite using the Pythagorean Theorem.  The first class I told them we were going to have this competition, but before we go out to actually fly kites, they need to be able to tell me how they are going to actually determine the height.  So they discussed with their group and came up with their method.  The next class we continued our discussion and then came up with the most accurate way to do it.  We went out and started the activity today, and will continute tommorow.  Apparently I need to give a little lesson on kite flying as well.  However, we will get the idea across and have some fun with it. We have cheap little dollar store kites, as well as nice big kites.  Pictures and videos of this activity will come once we have it completed.

My last little activity will be for the students to go outside and determine the lengths of specfic items outside.  I made up a little worksheet where they go outside and take the measurements of certain sides of specific items and then use pythagorean theorem to find the last side.  Rather than doing the textbook applications, we use actual applications.

A fun unit, really easy to use real-life applications!

Pictures and Measurements to Introduce Pythagorean Thm

I tried a little activity the past couple of math classes to introduce the pythagorean thm.  I reviewed what a right triangle was and then decided to let the students investigate a little.  The instructions the students were given was to go outside of the classroom and find 4 items that contain a right triangle, with a minimum of 2 items outside.  I gave them a templated sheet to record their findings, a camera (most used their cell phones) and a meter stick.  Their task was then to:
1) take a picture of the item  2) sketch the item on their paper  3) highlight the right triangle within the item
4) label the sides of the triangle a, b and c   5) measure and write the measurements of the 3 side lengths of the triangle on their sketch   6) come back to the classroom with all the information
From here, I had them invesigate.  I had them take their information and see if they could recognize a relationship between the squares of the 3 side lengths.  With some discussion and guidance we got to the definition/equation the Pythagorean Thm.  I then had them use the Pythagorean Thm. to figure out if what they thought was a right triangle just by looking at it, actually was.  This activity took 2 classes.  I never did use the photos they took, I thought I might come up with an idea to put them to use, but never did.  I am still thinking about it and may use them a little later within this section.
After this little investigation, we had a class of practicing using the Pythagorean Thm., and they all seemed to have a good understanding.  I am quizzing them tommorow, so I will have a better idea then.

Scavenger Hunt for Notes

We started a new unit on fluids this week in science.  Rather than reading the textbook and giving the students notes, we created a scavengerhunt for the students to do.  It included all the information from the first section of the text.  The clues were scattered all around the school and they were given a "fill in the blank" sheet to complete throughout the scavenger hunt.  When the studentss returned, we went over the material and discussed it.  It was a great way to start the unit and get the students interested.  Almost all the students commented "that was fun" when they got back. The next class we did a little coke and mentos experiment.  We tried two different things with the coke and mentos, the regular one where the coke shoots straight up and out of the bottle.  That was successful.  We also tried making a rocket out of it.  We had a little success with that as well.  We then went back to the class and discussed why this happens.  After the little experiment and discussion, we did a crossword on the scavenger hunt material.  The following day the students had a quiz on the scavenger hunt/crossword material and they all did very well.  A much different approach than the traditional and it was very fun and the students proved they learned the material by doing well on their quiz.  I will attach the video of the mentos experiment soon.

Using mini white boards for an algebra review

This morning I started the algebra review using the textbook questions, but had the students solve the problems on mini white boards.  I first divided the class into groups of three.  I then gave each student a mini whiteboard and a marker.  I had the review questions from the text book on an overhead.  I showed them one question at a time.  I made it into a little game.  Each student was to solve it on their own white board.  They were then to compare and discuss their answers with their group.  Then as a group they had to decide which answer, if their answers were different, was the correct answer and write it on one of the whiteboards.  Once I recognised that all the groups were done, I would count down from 5 and ask them to reveal their answers.  At that point one person in the group would hold up their white board.  I would quickly scan to see who had the correct answer.  Each team with the correct answer would get a point and I tracked the points on the board.  If a team had the incorrect answer I would quickly mention to them where they had gone wrong.  It worked really well, the students were all very involved.  A simple way to make textbook work a little bit more exciting.  Sorry about the shaky video, I was using one hand.

Tables of Values and Sticky Notes

I tried a little something with creating a table of values today.  I wrote 5 equations and then made a table of values for each equation.  I split the class into 6 groups, and gave each group a section of board and some yellow and green sticky notes.  I then randomly put up all my 'x' values on the screen and told each group to write each one of the values on a yellow sticky note and spread them out on the top of a desk.  I then randomly put up all my 'y' values on the screen and told each group to write each one of the values on a green sticky note and spread them out on the top of another desk.  I then got each group to write the 5 equations on their section of the board with a blank table of values underneath.  At this point, I gave them each the first 'x' value of each equation and the task was to now find all the ordered pairs for each equation.  They needed to place all their stick notes on the board in one of the table of values.  So in the end, they should have used all their sticky notes.   It is difficult to explain without seeing it.  It took a few minutes and a bit of prompting to get the students going on it, but once they got going, each group was working together very well. They had to do some mental math and understand how to fill in a table of values. It was quite a successful task, a nice change from just having them fill in a chart over and over again on paper.

Algebra and Bingo

I don't know about all of you, but it has been tough getting back in the swing of things this week.  I finally got somewhat motivated today in my math class.  I started the Algebra unit this week and was trying to think of what to do to make it more interesting than just doing worksheets.  Yesterday I taught solving 2-step equations and gave them a few practice questions.  Today, rather than just giving them a worksheet I made the worksheet into a game of bingo.  I gave each student a 5 x 5 table.  Then I put 30 numbers up on the board and asked them to randomly fill in their charts with these numbers, with no numbers repeating.  Once they had their charts filled in, I put one question up on the board.. They then each solved the question individually and shaded in the answer if it was on their chart.  After I got the sense that everybody had finished the question, I would put a new question on the board.  Once somebody got a row of 5, they were to call bingo.  We got through 15 questions before anyone got a bingo.  So rather than giving them a worksheet of 15 questions where they would've likely complained, we played a game of bingo.  Every student attempted and most completed each question and not one person complained.  Matter of fact, they were asking me for the next question.  So overall, they got through as many, if not more practice questions than they would've if they were working on a worksheet.