Wednesday, July 9, 2014
Math by Tori (formerly Kelsoe Math)
This is the first post under my new name MathbyTori.blogspot.com. My older posts have been imported from KelsoeMath.blogspot.com.
Thursday, January 16, 2014
Interactive Notebook Survey
I didn't want to wait until the end of the year to give out a survey for our interactive notebooks. After their quiz today, I gave them this to fill out. Here's a screen shot...
Of the 33 surveys, here are a few things I found out...
- Question #1 - only 16 said they had 100% completed! That's sad!
- Question #2 - a one, no twos, 16 threes, 12 fours and 4 fives
- Question #3 - 7 ones, 13 twos, 11threes, 2 fours and no fives
- Question #4 - a one, 2 twos, 5 threes, 13 fours and 12 fives
- Question #5 - no ones, 2 twos, 10 threes, 13 fours and 8 fives
- Question #6 - Triangle Vocab Puzzle, Law of Detachment/Law of Syllogism, Parallel Lines Flashcards, Triangle/Angle/Side Congruences, Equilateral and Isosceles Triangles, Conditional Statements, Classify Triangles Cut Out Activity, cute little folders for vocabulary, Triangles Congruences wkst (Math Teacher Mambo's Worksheet), Sum of Angles in a Triangle, Exterior Angle/Remote Interior Angles, calendars - I got to customize them to my personal liking).
- Question #7 - Most liked them all, but some said: Triangle Congruences, Proof Reasoning, Distance & Midpoint, Biconditionals IFF, Constructions, lots of vocab in first unit, Segment & Angle Addition, Parallel Lines Flashcards, Table of Contents (student says, "I get off track"), Exterior Angle/Remote Interior Angles.
- Question #8 - Most wouldn't change anything, but some said: the words would glow in the dark (that would be awesome!!), there would be more cutting and gluing, table of contents (not sure what they didn't like exactly), having to number the pages, start putting it in a binder instead of a notebook (spiral) because its not as sturdy and you can't add paper if you need to (we haven't needed to add paper, but I think they may have pulled some out for other assignments), add more notes writing down step by step what to do (good idea!), how much work we do in it like how thick the back is (vocab section), never to have flashcards in it again - I'm anti-flashcards (we only did them once! LOL), that it wasn't for a grade (I give them 2-3 days notice that I am grading it and take it as a quiz grade. This is from the student that admitted to only having done 25%, doesn't have a most or least favorite activity, but Q#4 was a 4 and Q#5 was a 3.). And my favorite comment: Nothing. You're doing a good job. It helps me practice and keep well-organized notes. SUCCESS!!!
I guess in every survey, you have a couple that Christmas tree it or leave blanks, but overall they have great feedback. Glow in the dark words would be a super addition, but probably not real practical! Next year, I will continue to use 3-subject spirals, but will suggest the ones with plastic covers. (I recommend that they keep it in their 3-ring binder, but many choose not to, causing it to get rather beat up.) I don't want them to be able to add paper because it takes away from their ongoing organization, but they also need to learn not to pull paper out of it. Grading will still take place as is. Sometimes assigning a grade keeps kids working, because they know the assignment has value. Some of mine will do it because I assign it, but those are a small portion.
Wednesday, January 15, 2014
Equilateral and Isosceles Triangles
Let me start by saying that I will be changing this lesson before I use it again! I thought I could teach it off the cuff as I have in years past, but I found that I was teaching it differently and better the second time I taught it.** My INB shows what I taught my first Geometry class of the day. As I have written 5 blog posts today, I have learned that simply by typing an explanation helps me see things I would like to change, whether it's the name of the activity, directions, overall design, etc.
The good:
-each triangle is folded in half (altitude, twin triangles)
-the terms equilateral and equiangular are broken down (equi means equal, etc.)
-each triangle is glued only on the left side
-formula for side of the 30-60-90 triangle in the equilateral one.
-I questioned the 2nd class about the meaning of altitude and they said height, so I used the example of altitude of a plane being measured straight down (90 degree angle to ground).
-discussed angle bisectors and segment bisectors
The bad:
-triangles were too small
-should've use a, 2a and a radical 3, instead of a over 2, a and a radical 3 over 2
-I didn't explain altitude as well during 1st class
-didn't even use the word symmetry
The good:
-each triangle is folded in half (altitude, twin triangles)
-the terms equilateral and equiangular are broken down (equi means equal, etc.)
-each triangle is glued only on the left side
-formula for side of the 30-60-90 triangle in the equilateral one.
-I questioned the 2nd class about the meaning of altitude and they said height, so I used the example of altitude of a plane being measured straight down (90 degree angle to ground).
-discussed angle bisectors and segment bisectors
The bad:
-triangles were too small
-should've use a, 2a and a radical 3, instead of a over 2, a and a radical 3 over 2
-I didn't explain altitude as well during 1st class
-didn't even use the word symmetry
**I believe that teaching is different for each class to some degree. My teaching is better when I get feedback from my students and that happens more often in the 2nd Geometry class of the day!
Triangles: Writing Congruence Statements
To explain the basics of triangle congruence, I created an activity (2-up) for the INB. I continue to push my kids into reading and following directions without me explaining them or them asking a million questions. I do remind them to "read and follow each step before moving on to the next one".
I had pre-cut colored paper into 8 pieces so their 2 triangles would fit into the top two-thirds of the page. I like using the brad to show them that the triangles will not always have the same orientation.
I think the next time we use this activity I might have them cut out the table at the bottom of the worksheet and glue it into their INB instead of having them drawing a table like mine above. If so, I will have to revamp the steps on the activity.
I had pre-cut colored paper into 8 pieces so their 2 triangles would fit into the top two-thirds of the page. I like using the brad to show them that the triangles will not always have the same orientation.
Triangle Congruences Lesson
I have been struggling to find a lesson plan for teaching SSS, SAS, ASA & AAS for about a week. I have been teaching geometry about 12 of my 14 years and have yet to find a lesson that I truly love, that my students buy into easily. Early in my career, I went straight by the (text) book. As a teacher that likes to use manipulatives, I have used straws and chenille stems to have them "discover" which of the 6 abbreviations actually worked every time. That lesson works with certain kids and I didn't feel that this year's students would like it. It seems every year the students get more and more resistant to reading and following instructions step-by-step!
So, as a seasoned procrastinator, I designed today's lesson last night, printed it out, revamp, printed again, then photocopied before school this morning on my famous colored paper. I don't want to get too excited, but they seemed to like it and did well identifying all 6 shortcuts (including SSA and AAA).
Here's how the class period rolled. As the students walked in, I told them to pick up one of each sheet. After attendance, I briefly explained congruent triangles and how they could be congruent by SASASA, but that we only needed 3 letters. I let them tell me the 6 combinations. I drew pics of 2 triangles for each, showing the appropriate tick marks. At this point, I told them to cut out the 10 squares and place them on the other half sheet in the correct column. As they worked, I walked around checking answers and moving the incorrect ones for them to try again. Some had a couple wrong, some didn't even have but a couple correct. For those, I explained one or two and they were able to get the rest correct. If I gave them the go-ahead, they glued the squares down, then glued/taped the activity into their INB.
This activity can be found at my TPT store.
After everyone was done, I explained that 2 of the shortcuts (SSA and AAA) were not guarantees that the triangles were congruent and that if something doesn't work every time, we don't use it in math. The next activity was a worksheet with 2 congruent triangles for each problem. They had to identify the shortcut and the name of the triangle that was congruent to the first one. The letters of the triangles were written at the bottom to complete a statement. It is an awesome self-checking worksheet that I found at Math Teacher Mambo's blog and my kids really enjoyed it.
So, as a seasoned procrastinator, I designed today's lesson last night, printed it out, revamp, printed again, then photocopied before school this morning on my famous colored paper. I don't want to get too excited, but they seemed to like it and did well identifying all 6 shortcuts (including SSA and AAA).
Here's how the class period rolled. As the students walked in, I told them to pick up one of each sheet. After attendance, I briefly explained congruent triangles and how they could be congruent by SASASA, but that we only needed 3 letters. I let them tell me the 6 combinations. I drew pics of 2 triangles for each, showing the appropriate tick marks. At this point, I told them to cut out the 10 squares and place them on the other half sheet in the correct column. As they worked, I walked around checking answers and moving the incorrect ones for them to try again. Some had a couple wrong, some didn't even have but a couple correct. For those, I explained one or two and they were able to get the rest correct. If I gave them the go-ahead, they glued the squares down, then glued/taped the activity into their INB.
This activity can be found at my TPT store.
After everyone was done, I explained that 2 of the shortcuts (SSA and AAA) were not guarantees that the triangles were congruent and that if something doesn't work every time, we don't use it in math. The next activity was a worksheet with 2 congruent triangles for each problem. They had to identify the shortcut and the name of the triangle that was congruent to the first one. The letters of the triangles were written at the bottom to complete a statement. It is an awesome self-checking worksheet that I found at Math Teacher Mambo's blog and my kids really enjoyed it.
Classifying Triangles Vocab Foldable & INB Activity
One of the first lessons in our Triangle Unit is Classifying Triangles. I handed out this vocabulary foldable and gave my students a chance to think about the definitions before we discussed them formally. Their vocabulary foldables are glued/taped into the third subject of a 3-subject spiral.
After going over the definition and a few examples, I gave them this Classifying Triangles Cut Out Activity. They always have me check their work before gluing anything down. I tell them that I don't want to reinforce their misunderstandings!
Triangles Unit: Interior Angle Sum and Exterior Angle (Remote Interior Angles)
Last week, we returned to school after Christmas break. Monday was a teacher workday, so I worked all day on grades and lesson plans for the week. In googling ideas for activities, I came across this site. There I found an inquiry style worksheet to help students discover the sum of the interior angles in a triangle. The file I found was actually a key, so I created my own based on that and tweaked it to fit my interactive notebooks (INBs).
On Tuesday, I gave my students the worksheet and a half sheet of (their choice of) colored paper and a few minutes to work on the activity. We had a discussion about what they found, then they glued it into their INBs. They seemed to like it so much (or maybe that's just how I perceived it!), that I made another one for discovering the relationship between the two remote interior angles and the exterior angle for Wednesday.
Triangle Angle Sums Inquiry Wkst
This is what it looks like in the INB.
On Tuesday, I gave my students the worksheet and a half sheet of (their choice of) colored paper and a few minutes to work on the activity. We had a discussion about what they found, then they glued it into their INBs. They seemed to like it so much (or maybe that's just how I perceived it!), that I made another one for discovering the relationship between the two remote interior angles and the exterior angle for Wednesday.
Triangle Angle Sums Inquiry Wkst
This is what it looks like in the INB.
This is what it looks like in the INB.
Saturday, January 11, 2014
Miscellaneous Posters
While I am pondering my next blog post, I decide to show/offer some of the posters I have created over the years for my classroom. As I come across/make more, I will post them too!
All About Relationships
Angle (Anatomy)
Reduce Test Anxiety
Classroom Expectations
Lack of Planning
Log Form to Exponent Form
Math Analogy
Olay CC Cream
CC Cream is made from swirling AA Cream and BB Cream together. This is one of my originals! I started laughing when I saw the commercial, then hit rewind and starting sketching my idea!
Polygons
Rationalizing the Denominator
Studying for Math Test (2 pages)
I have found that many students want to blame "test anxiety" for their poor grades, when in actuality it's the lack of proper preparation and studying.
Using a Formula
I use this one very often in all my classes. Students tend to either not write the formula or they will try to combine steps 2 and 3, often making mistakes as a result. Step 3 has a + because it may take more than one step to completely simplify a problem (order of operations).
All About Relationships
Angle (Anatomy)
Reduce Test Anxiety
Classroom Expectations
Lack of Planning
Log Form to Exponent Form
Math Analogy
Olay CC Cream
CC Cream is made from swirling AA Cream and BB Cream together. This is one of my originals! I started laughing when I saw the commercial, then hit rewind and starting sketching my idea!
Polygons
Rationalizing the Denominator
Studying for Math Test (2 pages)
I have found that many students want to blame "test anxiety" for their poor grades, when in actuality it's the lack of proper preparation and studying.
Using a Formula
I use this one very often in all my classes. Students tend to either not write the formula or they will try to combine steps 2 and 3, often making mistakes as a result. Step 3 has a + because it may take more than one step to completely simplify a problem (order of operations).
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