Algebra Ii Inb Pages - Business Office Transformations Together With Linear Functions

We stimulate got been busy, busy, busy this yr inwards Algebra 2! Now that we're on Unit 4, I decided it was fourth dimension that I acquire our pages from Unit 2 in addition to Unit iii posted! Our showtime unit of measurement of the yr covered the basics of functions. I posted the pictures of the balance of Unit 1's textile here. But, I had yet to complete or stimulate got a motion painting of our component subdivision transformations foldable at that time. This foldable was created after students had explored component subdivision transformations using an activeness I learned almost this summertime called Move the Monster. I got a newspaper re-create of the handout at the OGAP Common Core Workshop I attended this summer. But, I establish an answer commutation to the activeness online that individual else had posted if yous desire to encounter what the activeness is all about.

My goal was for students to uncovering the transformations for themselves. Then, nosotros summarized these findings inwards a foldable for hereafter reference. I'll hold upwards honest. My Algebra 2 kiddos struggled a lot amongst this activity. But, I would similar to intend that it was a productive struggle.

Function Transformations Foldable - Outside

Function Transformations Foldable - Inside

Unit 2 was a review of linear functions. Since linear functions are an Algebra 1 topic, nosotros went through this real quickly. I covered charge per unit of measurement of change, graphing linear functions, graphing linear inequalities, in addition to graphing systems of equations in addition to inequalities. We didn't do whatsoever INB pages over systems. Due to fourth dimension constraints, I entirely reviewed how to solve systems graphically. Time volition tell if that was a smart determination or not.

Unit 2 Table of Contents

Rate of Change Graphic Organizer

This year, I emphasized charge per unit of measurement of alter much to a greater extent than than I did concluding year. I used this every bit an chance to constantly review the deviation betwixt theme in addition to independent variables. Whenever students would scrap amongst interpreting the charge per unit of measurement of change, I would instantly them to this page a lot.

I also made the determination to learn my students almost linear functions inwards the shape y = a+bx instead of the typical y = mx+b. Let me tell you, this is a difficult thing to do. First off, I've ever taught y=mx+b before. When I took Algebra 1, I was taught y=mx+b. My Algebra 2 students who paid attending inwards Algebra 1 dear y=mx+b. Okay, perchance they don't dear it. But, the thought of changing from y=mx+b to y=a+bx did non fix good amongst them at all.

I was told, however, at 2 divide conferences this summertime that my students would do improve amongst exponential functions of the shape y=a(b)^x if I taught them linear functions inwards the shape y=a+bx. We volition see. We volition definitely see.

There are some things I similar almost education y=a+bx. It does brand to a greater extent than feel to tell students that nosotros ever graph the y-intercept showtime when it comes showtime inwards the equation. However, standardized exam questions look to ever write linear functions inwards the shape y=mx+b. This does give me an chance to remind students that it doesn't actually affair what lodge nosotros write the equation inwards every bit long every bit nosotros brand certain that the signs are right in addition to that the gradient is the coefficient of the x.

Slope in addition to Linear Functions INB Page

Outside of y=a+bx Foldable

Inside of y=a+bx Foldable

I am soundless inwards dear amongst Slope Dude. I thought that I wouldn't necessitate to present Slope Dude to my Algebra 2 students. But, my students who had me concluding yr inwards Algebra 1 insisted that nosotros HAD to sentry it again. It was kinda funny. They talked upwards Slope Dude similar crazy to their swain students. "This is the best video ever." "It's in addition to thence funny." Then, they kept making cryptic comments similar "Puff Puff Positive" in addition to "This is Zero Fun." Their classmates were SO confused in addition to intrigued at the same time. So, I pulled upwards the video on YouTube. The good isn't the loudest, in addition to thence I made everyone halt talking. I started the video. The kids who had seen it earlier were swell up. The kids who had never seen it earlier had a await on their faces that was priceless.

Seriously, if yous haven't watched Slope Dude, it volition hold upwards the best 2 minutes in addition to 36 seconds of your day. I promise. I don't know what it is almost this video, but every fourth dimension I stimulate got ever showed it, my students were narrating Slope Dude's adventures past times the destination of the video. Be forewarned: your students volition also never refer to the gradient every bit positive again. It volition hold upwards "Puff Puff Positive." And, in that place may hold upwards an audible gasp whenever yous tell the give-and-take "Undefined." After all, it is the worst curse give-and-take ever inwards mathematics.

Months later, my students soundless are talking almost Slope Dude. Last week, our Geometry classes started reviewing linear functions. Some of my Algebra 1 students from concluding yr came past times to tell me almost it. When the Geometry instructor reviewed the iv types of slope, the students insisted on calling the slopes past times their Slope Dude names. I remove heed that the Geometry instructor was non impressed...

Slope Foldable (When Closed)

Slope Foldable (When Open)

I used our lesson over linear vs non-linear graphs every bit graphing data processing scheme practice. Students rearranged each equation to acquire y past times itself in addition to entered it inwards their graphing calculator. I downloaded this activeness for gratis from TpT.

Linear / Nonlinear Card Sort

I also can't learn horizontal in addition to vertical lines amongst HOYVUX!

HOYVUX - Outside of Foldable

I made a slight alter this year. I added O/K to the horizontal lines gradient in addition to N/O to the vertical lines gradient to emphasize that it is okay to stimulate got a null inwards the numerator. The gradient is simply zero. But, yous cannot stimulate got a null inwards the denominator. Then, the gradient is UNDEFINED! (And, yes, I apologize for my cursing.)

HOYVUX - Inside of Foldable

After making this foldable for the 2nd time, I had an epiphany. I should stimulate got made this into 2 divide foldables. The HOY department should gum on the page horizontally. The VUX department should gum on the page vertically. I'll definitely hold upwards trying this out when I acquire to this subject amongst my Algebra 1 students!

Graphing Linear Inequalities

Many of my Algebra 2 students were real nervous almost graphing linear inequalities. It was a subject that they hadn't actually understood inwards Algebra 1, in addition to they did non intend they would hold upwards able to empathize it. This was a lesson where my primary simply decided to popular inwards for a formal observation. It ended upwards going well, though. I was worried at first. The students were telling me that this was going to hold upwards difficult in addition to that they wouldn't hold upwards able to acquire it.

Once nosotros had worked through iii problems together, 1 of my students announced to me, her swain students, in addition to the primary that "You stimulate got shown me the light!" Graphing linear inequalities speedily became 1 of my students' favorite parts of this unit.

We concluded our INB pages for Unit 2 past times gluing inwards our 2 linear regression labs: Bouncing Tennis Ballas in addition to Twizzlers. I posted almost these 2 labs here.

Bouncing Tennis Balls Lab

Twizzlers Lab

PDF Templates to Download:

Transformations file - here

All the balance of the files - here