Showing posts with label Greta Bergman. Show all posts
Showing posts with label Greta Bergman. Show all posts
Saturday, October 28, 2017

Order of Operations Interactive Notebook Pages

This year, I'm actually emphasizing club of operations at the starting fourth dimension of the twelvemonth inwards Algebra 1. Last year, I tried to bound right into evaluating expressions because my kids accept been learning most the club of operations since third bird or so. I figured review would locomote pointless. I was WRONG.

My students may accept been looking at club of operations problems for years, but these problems most probable didn't incorporate grouping symbols such equally absolute value bars, radicals, or fraction lines. My students demand exercise amongst this broader Definition of grouping symbols than simply the parentheses that they learned most from Please Excuse My Dear Aunt Sally.


I actually liked the Grouping Symbols poster I created terminal year, then I decided to plow it into a notebook page.


I gave students a blank club of operations template, in addition to nosotros filled inwards the pregnant of each of the letters. I made a big bargain of emphasizing that multiplying in addition to dividing are actually the same functioning then nosotros create them from left to right. Same amongst add-on in addition to subtraction.


Next, nosotros spent around character fourth dimension looking at negatives in addition to exponents. I had a giddy instant when I was making this notes page, in addition to I used 3 for all of my exponents which led to around really tedious results. Oops! Changing the 3s to 4s worked much better.


I shout out upward inwards the future, I would brand this activity into around kind of menu kind instead. I equally good wishing I would accept had a house where students formally recorded the divergence betwixt a negative within parentheses in addition to a negative without parentheses. I did a meliorate undertaking of this amongst around of my classes than others.


When I was gluing inwards my notebook pages, I accidentally forgot to acquire out a page for this laid upward of "Negatives in addition to Exponents" notes. Oops... So, I ended upward taping it inwards equally a flap over the grouping symbols.  You tin run across that meliorate below. That's why the grouping symbols chip that sticks out says "Grouping Symbols."


Next, I gave my students a booklet foldable that had iii club of operations exercise problems. These were definitely complex problems. I wrote them to involve negatives amongst exponents, absolute value bars, radicals, in addition to fractions.





The terminal affair nosotros glued inwards our notes for club of operations was an activity I borrowed from Greta Bergman.  Students are given 8 expressions. seven of the expressions simplify to -13. 1 of them doesn't. I challenge students to consummate problems until they abide by the i that doesn't equal -13. I tell them that when they abide by that one, they may stop. Of course, they accept to acquire their operate checked past times me. Students are ever eager to acquire their operate checked when they acquire an respond that isn't -13. Usually, I abide by around fault inwards their work, betoken it out to them, in addition to ship them dorsum to re-work the problem. So, they halt upward getting LOTS of practice!


I created several activities to become amongst our club of operations skill, but I volition portion those inwards carve upward posts. :)

Files for these notebook pages tin locomote downloaded here.

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.