Non-Standard Operations

Showing posts with label Non-Standard Operations. Show all posts
Showing posts with label Non-Standard Operations. Show all posts
Saturday, October 28, 2017

Add Em Up Activity for Non-Standard Operations

Non-standard operations are i of the skills that are inwards the novel Oklahoma standards that weren't inwards the former standards. So, I need to function on edifice upward activities for this topic. I decided to do an Add Em Up action to plough over my students usage alongside these weird looking problems.

Students are given 4 problems. When all 4 problems are complete, the total of the 4 answers should fit the lay out inwards the center. This allows students to banking enterprise check their work. If their total doesn't match, it's fourth dimension for them to commencement rechecking their work!

You tin plough over all 4 problems to i student, or yous tin plough over the educate of 4 problems to a grouping too convey each educatee do i of the problems. Either agency works! I prefer to convey each educatee do all 4 problems myself.

Here are the 2 occupation sets I created: 


You tin download the file here.

Non-Standard Operations Notes for INB

Last yr was the outset yr that non-standard operations made an appearance inward Oklahoma's math standards. That was besides the yr that I mistakenly sentiment that I would merely throw non-standard operations into the same science every bit evaluating expressions. After all, they are pretty much the same thing, right? Though I may stimulate got sentiment thus as well as nonetheless recollect so, my kiddos did non agree.

This year, having learned from final year's experience, I made non-standard operations their ain separate science that forthwith followed the science of evaluating expressions.

Here's what our notes ended upwards looking like:


I decided that earlier nosotros could verbalize over non-standard operations as well as all their weirdness, nosotros needed to refresh our retention of what the touchstone operations were first. My students eagerly filled inward the important of each of the symbols.


Then, nosotros moved along our merry agency to non-standard operations. Class, what does it hateful when nosotros stimulate got a portion sign inward our problem? My students were total of ideas. Some sentiment it meant nosotros should carve upwards yesteryear 100 or displace the decimal. Others insisted that it had no house whatever inward a math problem. Therefore, nosotros shouldn't produce the problem. Sorry guys. No such luck.

I started to enquire about leading questions. What variable is inward front end of the portion sign? A. Good. What discover is inward front end of the portion sign? 5. Great. So, what discover produce yous recollect nosotros should plug inward for a? 5. Awesome!


This is when I allow them inward on the trick. Non-Standard Operations problems are actually the same type of work nosotros stimulate got been doing (evaluating expressions.) They are merely written using a cloak-and-dagger code.

I proceeded to say them almost the days earlier non-standard operations were inward the Oklahoma standards. My students would come upwards dorsum from taking the ACT over the weekend. When I asked them how the examination went, they would speedily say me that in that location was a weird symbol on the examination that I had never taught them! Whenever I would write a made-up enquiry on the board as well as move it out for them, my students would survive thus frustrated that they had missed a enquiry that was slowly but had entirely looked complicated.

Here's an representative from an former Preparing for the ACT PDF (59F).

Image Source: Preparing for the ACT Booklet
Though my students were wary to tackle these problems, nosotros proceeded. After dandy the code for the outset few problems as well as figuring out that the weird symbol is merely in that location every bit a clue for which discover to plug inward for which variable, my students were shortly on a roll.


Then, nosotros hitting the within of the foldable.


There was confusion. There was panic. Things were NOT good. You see, of a precipitous in that location were to a greater extent than numbers than variables. Whatever should nosotros do? When I grew tired of the looks of confusion coming from my students, I asked them what nosotros would produce outset if this was an social club of operations problem. Parentheses! Okay then, let's produce the parentheses. But, what almost the 2? Is the 2 inward the parentheses? No. Then, let's non worry almost the 2. Let's produce what's inward the parentheses first. But, there's a 2 inward front. What produce nosotros produce alongside the 2? Just trust me. Let's produce the parentheses. Then, we'll verbalize almost what to produce alongside the 2.

They weren't happy almost it, but they were eventually persuaded to displace on as well as displace the parentheses.


After solving the work inward parentheses, nosotros replaced the parentheses alongside the value nosotros had merely arrived at to notice our novel work to solve. Some students were confused almost whether -71 would survive our j or k inward the inward a higher house problem. I had to remind them to await at where the parentheses were inward relation to j/k to figure out what -71 would be. This was something I had to remind my kids of throughout this skill.

After slogging through that outset problem, nosotros started to option upwards about speed.


Then, panic ensued in 1 lawsuit again. Until, of course, mortal suggested that this was merely a 3 measuring problem. We'd produce each gear upwards of parentheses as well as thus accept our values as well as produce the work 1 final time. There were groans as well as complaints, but nosotros moved forward. The biggest electrical charge was that in that location wasn't plenty infinite inward the box to write all 3 steps.


I was super proud of my students when they asked if they could produce the final work all yesteryear themselves!


Overall, I'm much happier alongside how our notes for non-standard operations turned out this year. Next year, I produce desire to edit a few of the questions. I gave them a quiz enquiry that had a addition sign betwixt ii sets of parentheses instead of the non-standard operation, as well as every unmarried tiddler treated it every bit the non-standard functioning instead of adding their ii answers. So, I'd similar to modify things upwards a chip adjacent yr thus kids don't acquire into such a routine that they produce things without thinking!

 

After completing the notes, my students were nonetheless pretty shaky as well as needed lots of practice. We achieved that through an Add Em Up activity that I blogged almost hither as well as a sorting activeness that I volition weblog almost soon!

You tin download the file for this foldable here.

Non-Standard Operations Sorting Activity

Since I've already blogged near my INB notes for Non-Standard Operations too my Add Em Up Activity for the same topic, I decided it was in conclusion fourth dimension to weblog near 1 of my favorite activities that I've created this schoolhouse year: Non-Standard Operation Sorting Cards!

I've done quite a few Question Stacks lately, then I decided I wanted to alter things upwards a fleck when it came fourth dimension to produce some do for Non-Standard Operations. It's gotten then that my students intend we're doing a enquiry stack EVERY SINGLE TIME I transcend out a pocketbook of cards! And, yes, I realize I'm behind on blogging all my novel enquiry stack files. It's on my to produce list. I promise!

 To brand this activity, I created twelve problems. I intentionally wrote the problems then that at that spot were 3 dissimilar answers alongside 4 problems resulting inwards each answer. Special thank you lot to my husband for helping me arts and crafts some of these problems to come upwards out to a specific answer! When I would write a work that failed to come upwards out to the correct answer, he would assistance me tweak my numbers then it worked. This was a trickier trace of piece of work to produce than I initially regard when I laid out to brand these cards!

The regard behind this activeness is that students instruct a deck of cards. They are told that at that spot are 3 dissimilar answers. Groups of students endure through the decks of cards to determine the 3 answers too house the cards inwards 3 piles according to their answers. To assistance my students out, I did plow over them a hint that at that spot were 4 cards for each answer.


I also typed upwards an respond fundamental that I could role to easily depository fiscal establishment fit a group's work. I laminated my respond fundamental on the same coloring of newspaper every bit the cards.


After explaining the activity, my students took off. We used our jumbo group-sized dry out erase boards for this activity. They were the perfect size for multiple students to endure around!


I loved the self-checking appear of this activity. Many groups institute themselves inwards the scenario where they had institute 4 dissimilar answers. Often 1 of these answers would solely accept 1 bill of fare inwards its pile. Students knew that this was the work they needed to rework.


I loved walking unopen to the room to run across how dissimilar groups were organizing their work.


Some groups dealt the cards out to grouping members earlier start then that each grouping fellow member worked the same release of problems. This worked good until 1 grouping realized that 1 grouping fellow member had gotten ALL one-step problems!


I await frontwards to applying this do construction to a greater extent than inwards the future!


There is something powerful near giving students a express release of respond choices.


I saw educatee confidence alongside non-standard operations grow alongside leaps too bounds every bit my students worked through this activity.


I gave my students xxx minutes for this activity. For some groups, this wasn't enough. For other groups, they finished later on 15 to 20 minutes.


Luckily, I was able to accept my groups that finished early on come about the Add Em Up activity.



This activeness is a definite keeper! You tin download the files for this activeness here.

Sorting Cards for Solving Equations amongst Variables on Both Sides

Since my non-standard operations sorting bill of fare activity was such a striking alongside my Algebra i students, I decided to purpose the same exercise construction to brand an activeness for my students to transcend extra exercise alongside solving equations alongside variables on both sides.

I created a deck of 12 cards. Each bill of fare contained an equation alongside variables on both sides in addition to a particular symbol.


When the 12 equations are solved, they tin last placed into iv groups of iii cards each. Each bill of fare inwards the grouping volition accept the exact same solution. I similar this construction because it helps students banking concern gibe their operate in addition to builds confidence all at the same time. If students terminate upwards alongside v or to a greater extent than groups, they know to re-check the problems inwards the groups that had the to the lowest degree cards inwards them. 

I printed these cards on pretty pinkish newspaper in addition to laminated each set. 

I too created an answer fundamental canvas that lets me speedily banking concern gibe a group's operate to run across if their groupings are correct.



You tin download the file for this activeness here.

Algebra i Expressions (Unit 1) INB Pages 2017-2018

Unit 1 inward Algebra 1 was a long one. And, it took us much longer than I expected to larn through it. Now that we're out of our introductory unit of measurement on expressions, I think we're finally making some headway through Algebra 1. And, I promise to larn caught dorsum upward to where nosotros should live on past times Christmas. We lead maintain had quite a few disruptions this year, as well as it has definitely showed inward our pacing.

In this post, I desire to portion pictures of each of our interactive notebook pages from the start unit. I lead maintain already blogged close some of these pages inward private spider web log posts, but many are beingness shared for the start fourth dimension inward this post.

Every unit of measurement starts amongst a divider. These dividers lead maintain actually taken my interactive notebooks to the adjacent level. My students' notebooks are x times to a greater extent than organized immediately than earlier I started using dividers betwixt each unit. Learn to a greater extent than close these dividers here.


The left side of the divider asks students to listing the move past times x things they think they demand to cry back from this unit. Some of my students hold back until the terminate of the unit of measurement to fill upward this out. Others fill upward it inward every bit nosotros go. And, to live on honest, some never fill upward it out at all. These students do, however, lose points for this when I produce their notebook cheque at the terminate of the unit. For to a greater extent than information close how I'm currently doing notebook checks, read this post. 

The right side of the divider lists our SBG skills for the unit. Students are expected to tape their quiz scores inward their notebook whenever quizzes are handed dorsum out. I also cheque this when I produce notebook checks.


Our start science of the unit of measurement was over 4 telephone substitution words: absolute value, reciprocal, opposite, as well as contrary reciprocal. We completed a frayer model for each word. This year, I am pre-printing the words on the frayer models. In years past, I had as well as thus many students forget to write the give-and-take inward the center. That's the most of import part!

 


Here are close-ups of each Frayer model. 

Absolute Value: 



Reciprocal:


Opposite:


Opposite Reciprocal:


We completed an Always, Sometimes, Never chore involving these vocabulary words. I blogged to a greater extent than close this activeness here.


We also did a 2 Truths as well as a Lie activeness where students had to apply their cognition of our novel vocabulary words. This 2 Truths as well as a Lie template tin flaming live on used for almost whatever topic. You tin flaming download it here.


Our instant science of the unit of measurement was a review of the corporation of operations.


We began amongst an exam of the connections betwixt negatives, exponents, as well as parentheses. Next year, I think I'll brand this it's ain skill.


I downsized the grouping symbols poster from my wall as well as thus students could lead maintain a version inward their notebooks.


We also set inward a diagram of the corporation of operations. I made it to appear similar the order of operations posters on my wall.


We did 3 practise corporation of operations problems inward our notebooks.





To give students extra practice, I gave them a 2 Truths as well as a Lie activity.


Now, on to the distributive property!


First, nosotros tackled a super unproblematic employment that's similar what my students were used to seeing from middle school.


Then, a slightly harder employment that involves drawing inward the invisible 1 inward front end of the parentheses. 


Then, LOTS of practise inside!


Those practise problems were pretty easy, as well as thus I made some other practise canvas amongst questions similar to what would live on on their quiz. After taking the quiz, 1 pupil asked me if I meant to brand the questions on this page appear similar the questions on the quiz. Why, yes, I did!


Close-ups of each problem:




And, lucky us, Greta Bergman has also made a "One Incorrect" puzzle for distributive property!


Now, it's fourth dimension for 3 novel vocab words: expression, equation, as well as inequality.


We wrote definitions for each as well as created examples every bit a class.




On the inside, students translated twelve statements written inward words to symbols. Then, they classified each tilt every bit an expression, equation, or inequality.





Up next, to a greater extent than practise amongst translating. Some of my students actually got into the brand your ain employment section!




I've made myself a banking corporation complaint to alter the wording on 1 of the problems because it's a flake ambiguous as well as could live on written 2 dissimilar ways.


I decided to reuse an facial expression writing practise canvas that I made to piece of work amongst my students 2 years ago. We no longer lead maintain an end-of-instruction exam that features these types of problems, but it did give my students a flake of extra practise amongst translating from words to symbols!




And, that's all our notes for the start unit of measurement of the twelvemonth inward Algebra 1.

We did also mucilage inward 2 things to our reference materials department at the front end of our notebooks.

First, nosotros glued inward a translating "cheat sheet" that I created in conclusion year.


Students tri-fold it earlier gluing it inward as well as thus that it tin flaming unfold as well as live on used no affair where nosotros are inward our notebook.


When nosotros aren't using it, it folds upward nicely inward our notebook.


If students mucilage it on the left mitt page of their notebook, it tin flaming live on used throughout the residuum of the year!



The other reference nosotros glued inward also had to produce amongst translating from words to algebra. I created a laid of translating cards every bit an experiment to run into if it helped students amongst their translation. I'd link to the spider web log postal service sharing the cards, but I haven't got some to blogging close them yet.


After using the cards, my students expressed a want to lead maintain a re-create of the cards for their notebooks. I'm non but happy amongst this notebook version, but the whole organisation needs some tweaks earlier I piece of work it again. Still, my students lead maintain establish it to live on a useful resources inward their notebooks!





You tin flaming download the files for this unit of measurement here.