Parallel Lines INB Pages

19 October 2016
I just tested my students over parallel lines in Geometry and they did much better than I expected!  Their proof skills are improving so much.  

The first interactive notebook page for this unit was this graphic organizer from All Things Algebra.  I had students color-code the angle pairs and they also marked on their diagrams.

Angles formed by Lines and Transversals graphic organizer for interactive notebooks in geometry

Next, I used my foldable for parallel line angle pair relationships.  Under each flap is a diagram with the definition, the theorem (congruent or supplementary) and an example.  I also had students write the theorems in shorthand under the foldable.  I do not allow students to write the theorem names when writing proofs, but I do allow them to use short hand.  This shorthand that I gave was the minimum amount they could write in a proof.

Parallel Lines and Transversals Angle Pairs Foldable for geometry interactive notebooks

I created a hamburger book for practice with proofs.  I ended up doing some cut and paste with my proofs task cards to create this.  I want to create a better looking book (that faces the correct direction!) for next year.

I made the students actually write out the parallel lines converse theorems.  I think they needed the muscle memory.  I also allowed them to use the converse of the shorthand they used for the original theorems.  The little mini-book at the bottom has lots of copy and pasted diagrams inside (read: ugly) from their textbook with examples.

Proving Lines are Parallel interactive notebook page for geometry

I created another proofs practice hamburger book for the proofs with the converse theorems.  I copied and pasted from my task cards.  Again, this needs beautifying for next year.  It also bugs me that they have to turn their books to read it.  I left tons of space on the side of the proof so students could write themselves hints.  They are starting to notice patterns in proofs and I wanted them to use this space to note that in their notebooks.

parallel lines and transversals proofs for interactive notebooks

The next page has the perpendicular lines theorems.  In the past, I have also done proofs with the perpendicular lines theorems.  However, this year I made the executive decision that I wouldn’t include these theorems in their proofs.  It isn’t required in our standards, but I always included it for good measure.  I haven’t yet decided if leaving it out is a good move or a bad move.  The page is to be printed on legal or ledger paper and trimmed down to fit in their notebooks.  A friend has gotten me hooked to using the giant paper.  :)

parallel and perpendicular lines notes for geometry interactive notebooks - free download

After this, we did equations of parallel and perpendicular lines.  However, I will leave those pages for another post!

How I Teach Intro to Logs

15 October 2016
I’m gonna be completely honest.  When I was teaching Algebra 2 Honors for the first time, I was super nervous to teach logarithms.  I just didn’t know how to explain things in a way to make sense, and I was afraid it was going to be an epic disaster.  So, I researched.  I read and read.  The result was that my logs lessons ended up being awesome and I felt way more confident.  So yeah, research if there’s a topic you’re nervous to teach.  Anyway, this is how I taught properties of logarithms.

How I Teach Properties of Logarithms

On Kate Nowak’s blog, she shared a puzzle-type thing she used with her students.  I modified it a little before giving it to my students.  I actually gave my kids fewer examples and made the problems a little more confusing (some of them are similar).  

How I Teach Properties of Logarithms
I gave this to my students as their warmup at the beginning of the period.  After a few minutes, I asked if anyone figured any out.  If someone had one correct, I had them write their answer for one of the problems on the board.  I continued that process slowly until a different person had written the answer for each of the problems.  Then, we talked about it.  I explained that they could think of logarithm was another word for exponent.

Then, I passed out notes and we talked about the properties of logs.  For a lot of kids, it only half sunk in.  So, I used symbols and pictures like I do when I teach function notation and factoring.  

How I Teach Properties of Logarithms

I usually make up little doodles on the fly for each of the properties of logs.  I have my kids write them down and make up their own.  I follow this lesson up with a few minutes of whiteboard practice.  My students have also really liked my Expanding and Condensing Logarithmic Expressions Stations Maze after this lesson.

Using symbols and doodles to teach the properties of logs always seems to help my students visualize the properties better.  While it’s important to me that they understand logarithms, I feel that the first example helps with that.  Sometimes, kids need to step back from the algebra to see the overall patterns.  Using symbols and doodles helps.  

Do you do anything interesting when you teach logs?

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Solving Equations INB Pages

11 October 2016
I’m starting to wrap up my solving equations unit in Algebra 1.  My kids are doing well.  This entire unit seemed to be a review from their Pre-Algebra class last year.

First, I created a page for solving two-step equations.  I used the weightlifter as an analogy to keep the sides balanced.  I also added an extra example on the blue post-it at the last minute.  I thought about using the two-step equations page that I designed before, but I didn’t have enough paint samples and I wanted to use the paint samples if I used that page.

Solving Two-Step Equations interactive notebook page

On the next page, I had students do practice.

Solving Two-Step Equations practice interactive notebook page

Then, I used a flip book for Solving Multi-Step Equations.  I don’t have a picture of it though.  I taught multi-step equations over four days.  The first day, I only did examples where they had to combine like terms before solving.  The second day, we did problems with variables on both sides.  The third day, we did examples of variables on both sides, including no solution and identity.  Last, we did problems with lots of fractions.  I think this approach worked.  I’m glad that I spent so much time here.  To sum it all up, we did this graphic organizer.  I think next year, I will do a similar layout, but have them create it themselves.  I can't remember where I found this graphic organizer, so if you know, let me know so I can link it!

equations with variables on both sides graphic organizer for interactive notebooks - algebra 1

The next page was practice with word problems.  I just typed out a few words problems that we did together - nothing fancy.

solving equations word problems practice for interactive notebooks

I did a mid-chapter test for this unit.  Up next were proportions!

Beginning Proofs INB Pages

09 October 2016
I spent longer on my Intro to Proofs Unit than I typically do.  As I mentioned in my post about my Logic Unit, I typically combine logic and proofs into one unit.  After meeting my students and seeing the level they were, I decided to break these units into two and spend a little more time on them.  My students have struggled with proofs this year.  Not any more than usual, but it strikes me that so many students are afraid to write something down for fear of it being wrong.  They’re so afraid of being wrong, that they won’t even try.  It’s sad, and it’s something that we’re working on.

At the beginning of this unit, we talked about the Algebraic Properties of Equality and used this foldable.  It went fine and my students had no trouble identifying the properties used - as long as we were working as a class.  Any time I had them try on their own it was an epic failure.  They were so afraid to try!  

Algebraic Properties of Equality Foldable

Then, we did a hamburger book of Algebraic Proofs.  This foldable is nothing special.  I seriously just did a google images search of Algebraic Proofs and used screenshots inside.  After this, we did whiteboard practice with my Algebraic Proofs Task Cards.  My students nailed this!  On their test, I had very few kids miss any of the algebraic proofs.

Algebraic Proofs Interactive Notebook Page

Then, I included a page of proof tips.  This page is kind of my catch-all for anything I might have missed telling them about proofs and a place for them to write random hints as we stumble on them in class.  I’m also having them keep a list of proof reasons (properties, theorems, postulates, etc) in the back of their notebooks.  I can’t find my digital file, but when I do I will link it.

Geometry Proof Tips Interactive Notebook Page

Next, we did a flap book about the different Angle Pair Theorems and Postulates.  The theorems are written out under the flaps.  My students always have a hard time with the Congruent Complements Theorem and the Congruent Supplements Theorem, so we added a little bit more about those on the bottom.

Angle Pair Theorems and Postulates Interactive Notebook Page - Right Angle Congruence, Linear Pair Postulate, Vertical Angles

The last page for the unit was another proofs practice hamburger book.  I didn’t take a picture of it because it’s super-ugly.  It was the same idea as the other one with lots of screenshots though.  I want to make up my own proofs and type them out nicely, but I just didn’t have time this year.  Summer project!

Logic INB Pages

05 October 2016
This year in Geometry, I taught Logic as it’s own mini-unit.  Before, I’ve always lumped it in together with beginning proofs.  However, this year I decided to spend an extra day or two on it and then have a separate test for this unit.  It worked out pretty well and most of my students did well on the test.  We spent a week and a half on this unit.

First, I used my foldable for conditional statements.  I used white paper because I wanted them to color-code the hypothesis and conclusion.  My students used two highlighters and used the same colors for the hypothesis and conclusion on the entire page.

Conditional Statements Foldable for interactive notebooks in geometry

On the next page, they did three examples.  

conditional statements practice for geometry interactive notebooks

I made a page dedicated to counterexamples.  I’m not really sure why I did this.  Half of this information is included in the biconditional statements hamburger book on the next page.  I might not include this page next year.  If I do, I might include a few more examples or something.  This page was included in the lesson with biconditional statements.

counterexamples page for geometry interactive notebooks

The information in this biconditional statements foldable is good.  Overall, I liked it.  However, it bugs me that I made the font so big.  I think it's size 20.  My students aren’t blind!  I will make it smaller for next year and include a few more examples since I will have extra space.

Biconditional Statements Foldable for geometry interactive notebooks

Biconditional Statements Foldable for geometry interactive notebooks

Next, came the Law of Detachment and the Law of Syllogism.  Students always have such a hard time telling these apart, and I’m not sure why.  In class, I felt like I was beating a dead horse with how many times we practiced this and how many different ways I explained it.  They still missed it on the test.

Law of Detachment and Law of Syllogism Foldable for geometry interactive notebooks

I don’t do symbolic logic or symbolic proofs.  I know some teachers do, but I after these four lessons, I move on.  Beginning proofs is next!

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