Last school year, I remember my students had a miserable time remembering the different ways that a function was transformed when they looked at the equation. (Does minus 4 here mean that the graph goes up, down, left, or right? Does a negative in front mean the parabola opens up or down? Why would I want standard form versus vertex form?) This year, I decided we needed some memory tricks for these along with our notes and our families of functions scrapbook.
Cute trick #1 is an oldie but a goodie. If the a value is negative, the graph is opening down, so "frowning." Negative=frown, so that's should be an easy one to remember.
Cute trick #2 is inspired by my kids last year who struggled with the idea of vertical stretch and shrink. They so wanted to talk about horizontal stretch and shrink when they viewed graphs, but that's a bit backwards since an equation in the form y = 3x^2 has an a value greater than 1 which they understood to be an increase in size. To that end, I did a little demo today in MS Word with clip art pigs. I started with three equally sized pigs. I kept the "parent" the same. I changed the other two pigs based on a values of 2 and 1/2. Tonight, I added the annotations and tomorrow this will be on my wall.
What sorts of tips and tricks do you share with your students to make graphing easier?
Mathematically yours,
Miss B
Showing posts with label vocabulary. Show all posts
Showing posts with label vocabulary. Show all posts
Wednesday, April 3, 2013
Monday, February 4, 2013
Angles Formed by Parallel Lines Cut by a Transversal Foldable for Geometry or Middle School Math
I've taught angles formed by parallel lines cut by a transversal in geometry and in my on-grade level 8th grade classes. Students generally catch on without much trouble, but there are often a few students who have trouble matching the vocabulary to the diagram.
Here's a foldable I'm going to use with my students in Algebra I and Intermediate Algebra this year to practice the vocabulary prior to our state testing next month. (Eep! Next month is March already?) Our students need to know corresponding angles, alternate interior angles, and alternate exterior angles. I generally include same side interior and same side exterior for means of comparison and because they're going to need them for geometry anyway, so it makes sense to introduce the vocabulary at the same time.
Would you like to use this with your class? Download the PDF here and enjoy. Let me know how it works with your students.
Mathematically yours,
Miss B
Here's a foldable I'm going to use with my students in Algebra I and Intermediate Algebra this year to practice the vocabulary prior to our state testing next month. (Eep! Next month is March already?) Our students need to know corresponding angles, alternate interior angles, and alternate exterior angles. I generally include same side interior and same side exterior for means of comparison and because they're going to need them for geometry anyway, so it makes sense to introduce the vocabulary at the same time.
Would you like to use this with your class? Download the PDF here and enjoy. Let me know how it works with your students.
Mathematically yours,
Miss B
Monday, January 7, 2013
Laws of Exponents Foldable
We've been working on radicals in Intermediate Algebra since before Christmas. The next item on the agenda is making the connection to rational exponents (and thereby also reviewing the Laws of Exponents). My students are fairly confident with Laws of Exponents, but I thought they might like a foldable to summarize everything in one place once we add in the rules for rational exponents and have to apply all the old rules.
If you'd like a copy of the foldable I made, click here for a pdf download. There is a small 2x2 area on each flap where you can include extra notes or an additional example problem of your own. The inside lists a synopsis of the rules and at least one example for each type of problem. If you use it, I'd love to hear your comments!
I submitted this as my first entry to http://made4math.blogspot.com/. Go over and check out the other great resources linked there if you haven't already done so.
Mathematically yours,
Miss B
If you'd like a copy of the foldable I made, click here for a pdf download. There is a small 2x2 area on each flap where you can include extra notes or an additional example problem of your own. The inside lists a synopsis of the rules and at least one example for each type of problem. If you use it, I'd love to hear your comments!
I submitted this as my first entry to http://made4math.blogspot.com/. Go over and check out the other great resources linked there if you haven't already done so.
Mathematically yours,
Miss B
Sunday, August 26, 2012
Measures of Central Tendency Cootie Catcher or Fortune Teller
First, a PSA: Tomorrow is the first day of school! Hooray!
Back to your regular programming...
I've seen some academic uses of the so called "cootie catcher" or "fortune teller" and I decided to make one for my kids to use this week as we review measures of central tendency in Algebra I.
Here's the basic template I made in Word. If you want the file,please just leave me a comment and I'll be happy to share download the PDF from Google Docs. Obviously, you could just have your kids fold a plain one and write things on it. I don't know my clientele yet, so I'm doing most of the work for them this time.
The four corner squares are labeled mean, median, mode, and range. These are the measures of central tendency and variation that my students should have mastered in 7th grade. Generally, they come in pretty well prepared on this topic, with some of them mixing up the "m" words.
I filled in everything but the solutions and definitions for them. There are 8 data sets given and there are places for the kids to write in the mean, median, mode, and range for each of the sets. My plan is for them to work in partners to "play the game" and collaborate on finding the answers for each data set, only recording their work if they both agree. They can then take this home as a study guide/review game. The colors on the words are just pretty. The colors around the data sets and answers are there to keep the kids from getting switched around.
Again, you can download the blank template here if you missed the link above! If you'd like the filled in copy (in my lovely handwriting, sorry), you can get it from my updated post.
How do you make review activities fun and unique to keep kids motivated?
Back to your regular programming...
I've seen some academic uses of the so called "cootie catcher" or "fortune teller" and I decided to make one for my kids to use this week as we review measures of central tendency in Algebra I.
Here's the basic template I made in Word. If you want the file,
The four corner squares are labeled mean, median, mode, and range. These are the measures of central tendency and variation that my students should have mastered in 7th grade. Generally, they come in pretty well prepared on this topic, with some of them mixing up the "m" words.
I filled in everything but the solutions and definitions for them. There are 8 data sets given and there are places for the kids to write in the mean, median, mode, and range for each of the sets. My plan is for them to work in partners to "play the game" and collaborate on finding the answers for each data set, only recording their work if they both agree. They can then take this home as a study guide/review game. The colors on the words are just pretty. The colors around the data sets and answers are there to keep the kids from getting switched around.
Again, you can download the blank template here if you missed the link above! If you'd like the filled in copy (in my lovely handwriting, sorry), you can get it from my updated post.
How do you make review activities fun and unique to keep kids motivated?
Tuesday, August 7, 2012
Building Vocabulary with a Word Wall
I think most teachers are familiar with word walls. I've seen
elementary teachers organize them alphabetically. For my math students
in middle school, I organize the walls by unit theme. Each unit we
study is assigned a color so students can look for related words in the
group. We make use of our word walls in countless ways, but here are
just a few:
1. I place all of the words for a new unit on the wall. As we work our way through a unit and learn a new concept, students try to guess which word could have that meaning. This often guides us through a discussion of prefixes, suffixes, and roots as students break down the words and try to make meaning from them.
2. Students refer to the wall to help them recall words that have slipped their minds and for spelling.
3. Because I am lucky to have two metal walls, my words are most often individual strips with magnets on the back. We take them down and use them for games. One favorite game is the fly-swatter game. Give a representative from each team a fly-swatter (clean, of course), scatter the vocabulary words on the board, and give a definition, example, non-example, drawing, etc that the students have to match to the correct word. It's fast-paced and they get to smack the board, so they love it! My rules are that they may only smack the board and they must alternate turns smacking words (otherwise it looks like whack-a-mole gone bad and the kids don't pay attention to the words).
4. Review/Study. I give a final exam so I encourage my students to use the word wall to identify their weaknesses. They can read through the words and decide what to study based on what vocabulary is most difficult for them. This is true for unit tests and quizzes as well. I also find my students using the word wall when they help each other. They are frequently overheard asking each other about the words and the responses typically include the related words. I love hearing my kids use their vocabulary!
I have experienced a few set-backs with my word walls in the past. First, the words get a glare once laminated so they can be hard to read. Sometimes I end up with students who have trouble reading at a distance even with really large font sizes. So, readability is a big problem in my classroom. Second, the students can't take the wall home so they don't have that resource when they are completing assignments outside of my room. In response to those issues, I decided to do a little more with vocabulary this year.
New to my class this year will be personal word walls. Hooray! I designed a template to look like a brick wall complete with a graffiti title. Kids will be responsible for adding words to their wall when we first learn them in class. Each unit will be written in a different color and the kids will be able to place the words how they want to on the sheet though I'll encourage them to group like words in some way instead of randomly scattering them. I'm going to have the kids lightly shade or outline the boxes with colored pencil when they feel they have mastered the term. To me, that means they can describe/define it clearly, draw it accurately, and spell it correctly. I think we'll need two or more copies to fit all of our words depending on the course as each size holds about 75 words. When I taught Geometry in the past, we had nearly 300 words, so we would have needed 4 of these. I'm going to make this double sided and copy it on cardstock. They'll keep it in a sheet protector so they can use it to quiz themselves by marking things off with a dry erase marker.
If you would like to use this with your class, leave me a comment with your e-mail address and I'll send you the file.
How do you organize vocabulary with your students? What makes it meaningful to them? I'd love to hear more strategies that work with math.
Miss B
1. I place all of the words for a new unit on the wall. As we work our way through a unit and learn a new concept, students try to guess which word could have that meaning. This often guides us through a discussion of prefixes, suffixes, and roots as students break down the words and try to make meaning from them.
2. Students refer to the wall to help them recall words that have slipped their minds and for spelling.
3. Because I am lucky to have two metal walls, my words are most often individual strips with magnets on the back. We take them down and use them for games. One favorite game is the fly-swatter game. Give a representative from each team a fly-swatter (clean, of course), scatter the vocabulary words on the board, and give a definition, example, non-example, drawing, etc that the students have to match to the correct word. It's fast-paced and they get to smack the board, so they love it! My rules are that they may only smack the board and they must alternate turns smacking words (otherwise it looks like whack-a-mole gone bad and the kids don't pay attention to the words).
4. Review/Study. I give a final exam so I encourage my students to use the word wall to identify their weaknesses. They can read through the words and decide what to study based on what vocabulary is most difficult for them. This is true for unit tests and quizzes as well. I also find my students using the word wall when they help each other. They are frequently overheard asking each other about the words and the responses typically include the related words. I love hearing my kids use their vocabulary!
I have experienced a few set-backs with my word walls in the past. First, the words get a glare once laminated so they can be hard to read. Sometimes I end up with students who have trouble reading at a distance even with really large font sizes. So, readability is a big problem in my classroom. Second, the students can't take the wall home so they don't have that resource when they are completing assignments outside of my room. In response to those issues, I decided to do a little more with vocabulary this year.
New to my class this year will be personal word walls. Hooray! I designed a template to look like a brick wall complete with a graffiti title. Kids will be responsible for adding words to their wall when we first learn them in class. Each unit will be written in a different color and the kids will be able to place the words how they want to on the sheet though I'll encourage them to group like words in some way instead of randomly scattering them. I'm going to have the kids lightly shade or outline the boxes with colored pencil when they feel they have mastered the term. To me, that means they can describe/define it clearly, draw it accurately, and spell it correctly. I think we'll need two or more copies to fit all of our words depending on the course as each size holds about 75 words. When I taught Geometry in the past, we had nearly 300 words, so we would have needed 4 of these. I'm going to make this double sided and copy it on cardstock. They'll keep it in a sheet protector so they can use it to quiz themselves by marking things off with a dry erase marker.
Here's the file. You'll need the font "a dripping marker" for the title (or just choose a font that you already have).
If you would like to use this with your class, leave me a comment with your e-mail address and I'll send you the file.
How do you organize vocabulary with your students? What makes it meaningful to them? I'd love to hear more strategies that work with math.
Miss B
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