Reviewing Integer Operations + Social Club Of Operations Inwards Algebra Ii

My Algebra two classes were participants inwards my activeness inquiry projection over remediating integer operations. I blogged nearly that to a greater extent than here. Based on what grouping students were randomly assigned to, they received a for certain laid of notes.

Group 1:

Group 2:

This instant grouping of students used a disclose trace of piece of work in addition to bingo chip to function out the questions.

Then, nosotros took notes over the Order of Operations. I re-sized my club of operations hop scotch this year. Link to download files is at the bottom of the post, equally always.

Usually, I uncovering that students don't actually take away heed to reviewing the club of operations because they are convinced that they already know how to produce it. After all, they've been doing the club of operations since tertiary degree or so.

To (hopefully) acquire their attention, I told them that I was going to tell them how their tertiary degree instructor got the club of operations wrong. We were going to Algebra 2-itize the club of operations. Of course, a educatee told me Algebra 2-itize wasn't a word. #sad

Here's the Cliff Notes version:

Parentheses - Your tertiary degree instructor taught y'all that y'all should ever function out the parentheses first. He or she should direct maintain taught y'all that grouping symbols ever demand to endure done first. These could endure parentheses. They could endure fancy brackets. Did y'all know that at that topographic point are invisible parentheses or in addition to thus the numerator in addition to denominator of every fraction??? [Later, I decided I should direct maintain also said that at that topographic point are invisible parentheses within whatever radical!] We should cutting your tertiary degree instructor a flake of slack, though, because when y'all were at that age, the solely grouping symbols y'all ever saw were parentheses.

Exponents - Your tertiary degree instructor taught y'all that exponents should ever come upwardly adjacent inwards the club of operations. This twelvemonth inwards Algebra 2, we're going to larn a cool way to rewrite whatever radical symbol equally an exponent that is a fraction. This agency that radicals (or roots) direct maintain to endure done during the exponent phase of the club of operations.

Multiplication in addition to Division from Left to Right - This i is pretty self-explanatory. Except, students direct maintain to endure reminded of the left to correct aspect. Many students admitted that they had a instructor tell them that they ALWAYS direct maintain to produce all the multiplication earlier the division. And, I believe this. It's i of the things nearly PEMDAS that drives me crazy.

Addition in addition to Subtraction from Left to Right - Again, I emphasized the left to correct aspect.

Then, I threw this occupation upwardly on the board:

I asked, "What does the Order of Operations tell nosotros should produce first?" Half of the shape was convinced that nosotros produce 4(5) first. The other one-half of the shape said nosotros needed to accept tending of the exponent. This led to a give-and-take of some other way our tertiary degree teachers misled us. When nosotros were taught to ever produce parentheses first, parentheses were solely ever used equally grouping symbols. We were all the same using the x to hateful multiply. It wasn't until nosotros got to middle schoolhouse that nosotros actually started using parentheses to hateful multiplication.

I made them write a regime annotation nearly how when nosotros run into parentheses inwards a problem, nosotros demand to banking concern gibe in addition to run into if they are grouping parentheses or multiplication parentheses.

We did a few do problems together inwards our notebooks. Here's a few:

Foldables in addition to graphic organizers tin plough over the axe endure downloaded here.