Evaluating Expressions

Showing posts with label Evaluating Expressions. Show all posts
Showing posts with label Evaluating Expressions. Show all posts
Wednesday, November 1, 2017

Always, Sometimes, or Never? Resources for Math Class

After successfully using Always, Sometimes, or Never? to assistance my students hit a ameliorate conceptual agreement of the measures of fundamental style (link to spider web log post), I began to wonder what other math topics I could utilisation the Always, Sometimes, or Never? construction with.


I spent utilisation of an even out googling for resources.  I idea I should part my findings alongside yous guys equally well.  Have yous used Always, Sometimes, or Never? to review other concepts?  Please piece of job out a comment!

Algebraic Properties


Angles


Miscellaneous


Negatives


Number Sense


Parallel together with Perpendicular Lines


Points, Lines, together with Planes


Quadrilaterals


Rational together with Irrational Numbers


Similarity


Transformations


Trig


Saturday, October 28, 2017

Monday Must Reads: Volume 5

It seems similar it was simply yesterday that I decided to laid about Mon Must Reads every bit a weekly characteristic to highlight the awesomeness I run across daily through the blogs I read as well as the inspiring teachers I follow on Twitter.


Rick Barlow's tweet caught my oculus non because of what the pupil had written on the board but because of the poster hanging higher upward the dry out erase board. I intend this poster belongs inward every math classroom.  This is definitely on my listing of posters to exercise for my classroom for adjacent year.


set of dry out erase pockets, yous demand to exercise as well as then now! Check out this awesomeness:






most recent number of Mon Must Reads, I featured a visual representation for solving equations.  I wondered how it powerfulness piece of work alongside equations that accept variables on both sides.  Yah Lee answered my inquiry alongside a visual model that does simply that!  I've played or as well as then alongside it, as well as I similar it.  The alone affair I can't figure out how to exercise at in 1 trial is illustrate an equation that involves subtraction 1 one side of the equal sign as well as add-on on the other side.


I was outset introduced to Conway's Rational Tangles occupation through a summertime immersion programme hosted past times the Tulsa Math Teachers' Circle.   interactive notebook pages for angles formed past times secants as well as tangents.  I dearest how she encouraged her particular students to hold out 2 small-scale pieces of newspaper to improve visualize the arcs as well as angles.  I intend this is a strategy that all students could exercise goodness from!

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Image Source: 
I also dearest the vinyl ornamentation she created for her mug!


Maths teachers inward the U.K. accept been honouring the belatedly Malcolm Swan's contributions to maths pedagogy past times using his resources inward their classrooms on #malcolmswanday.  Pip Mathematics shared a dandy Swan chore that I await forrad to incorporating when my Algebra 1 students tackle evaluating expressions inward the fall.




Theressa Engel shared students' results to a problem-solving chore I would dearest to endeavour out alongside my ain students: exercise the longest chain possible from a unmarried canvass of paper.  I'm thinking this would brand a dandy outset calendar week of schoolhouse activity!  


Sam Shah late shared a brilliant introduction to the unit of measurement circle inward trigonometry using every shape but a circle!  

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Image Source: https://samjshah.com/2017/05/25/an-prelude-to-unit-circle-trigonometry/

Susan Russo took the traditional spaghetti activity for graphing sine as well as cosine curves a laid upward further past times hanging them side-by-side to exercise a beautifully long graph. 


Andrew Jensen shared a vivid geometry chore regarding wasted packaging space.  




Until adjacent time, proceed sharing!


Evaluating Expressions Interactive Notebook Pages

We kicked off our lesson on evaluating expressions amongst the parenthetical promise. Every year, I forcefulness my students to brand the next hope to me: I, _____________, create hereby hope that I volition ever role parentheses whenever I substitute values into an algebraic expression. I brand them sign the hope in addition to engagement it.


Every year, I appear to receive got a few who don't desire to play along. This year, I didn't receive got whatsoever of those because I told them that the students who didn't play along amongst the hope terminal yr ended upwards failing the quiz. I retrieve this year's freshman cast may withal endure scared of me...


Though I've done this for multiple years now, I'm embarrassed to tell that this is the commencement yr that I've made a indicate of showing my students the importance of using parentheses when evaluating expressions. Can yous believe that?!? In the past, I've but assumed that students would accept my give-and-take that it was important. No wonder some students didn't desire to play along...


As a class, nosotros worked out the same occupation 2 ways: amongst parentheses in addition to without parentheses. Look, nosotros got 2 dissimilar answers! See, class, I told yous that parentheses are important!

But, instantly nosotros receive got 2 dissimilar answers. How create my students know that three actually is the wrong reply in addition to eleven is the right answer? Should they but blindly trust me amongst this too? To reassure my students that Mrs. Carter actually does know what she is talking about, I had my cast leave of absence their calculators (TI-30XS) in addition to thence that I could learn them a dandy estimator trick. I walked them through the steps of storing -2 for x inwards their calculators. Then, I challenged them each to type x^2 - 2x + three inwards their calculators. Every educatee inwards the cast got their estimator to read 11. That agency that when our calculators substitute inwards values for variables, they role parentheses, too! See, Mrs. Carter is telling the truth!

Next, nosotros glued inwards our commencement steal of the year. I pre-printed the steps for evaluating expressions on the pocket. Super proud of how it turned out!


Inside the pocket, nosotros seat iv practise problems that nosotros completed. See all those lovely parentheses?!?






Finally, I gave my students a "One Incorrect" puzzle from Greta Bergman to solve. Students had to evaluate expressions until they flora the 1 that didn't equal 36. Students are ever eager to learn their operate checked when they learn an reply that isn't 36. Usually, I honor some fault inwards their work, indicate it out to them, in addition to mail them dorsum to re-work the problem. So, they halt upwards getting LOTS of practice!


Files tin hand notice endure downloaded here.

Updated Evaluating Expressions Question Stack amongst More Difficult Questions

On Sunday, I shared a question stack I made to review the distributive property using printable draw organisation cards. Today, I desire to portion a unlike version. I created this query stack for my Algebra 1 classes to review evaluating expressions.

If you've laid upwards my weblog for awhile as well as tin continue rails of my hundreds of posts, you lot may hold upwards thinking that I've already shared my evaluating expressions query stack before. Yes, I did portion an evaluating expressions query stack final year. Here's the post.

The questions looked similar this:

Last Year's Question Stack (Download HERE)
There was nil incorrect amongst this, but this twelvemonth I decided I wanted my students to create problems at a fighting of a higher level. I spent a substantial amount of fourth dimension reviewing the lodge of operations this year, as well as thence that allowed me to inquire much to a greater extent than hard evaluating questions than inwards years by where I skipped lodge of operations review because I assumed all of my students had already mastered it. Let's merely tell that evaluating expressions went a 1000000 times ameliorate this twelvemonth than final cheers to the lodge of operations review fifty-fifty amongst the harder problems!

Introducing my novel as well as improved as well as much to a greater extent than hard query stack!


I printed these query as well as respond cards on Avery Business Cards (affiliate link) that I purchased from NAIER final year.
question
So, how does a query stack work? Check out this post for the total details, but I'll teach ahead as well as rapidly summarize how it plant below!


Each grouping gets an explanation menu amongst all of the rules.

I printed them on peach newspaper as well as laminated them as well as thence they are handy every fourth dimension nosotros create a query stack. And, I create lots of query stacks!



Students seat out all of the cards individually amongst the respond sides facing up. These cards shape the "answer bank."

Each grouping chooses i menu to flip over. They seat this menu on reach of their laminated query stack template as well as thence they don't teach confused.

Each grouping fellow member plant out the problem. When the grouping has decided on an answer, they depository fiscal establishment jibe the "answer bank" to run into if their respond is there. If it is, they are (most likely) correct. If it isn't, they receive got made a mistake. They ask to depository fiscal establishment jibe their operate and/or inquire for help.

 

If the respond is inwards the respond bank, this menu is flipped over to give away a novel question. This procedure repeats until the final query is flipped over. The respond to this menu should hold upwards at the bottom of the pile if all of the questions receive got been answered correctly.

Here are approximately activeness shots from the twenty-four threescore minutes catamenia I used this activity inwards class:













You tin download the file for this activity here.