Algebra One Unit Of Measurement Iii - Relations In Addition To Functions Interactive Notebook Pages

Before Christmas, nosotros finished ane of my favorite units of the yr inwards Algebra 1 - Relations together with Functions. With regards to pacing, nosotros are WAY behind where I would similar to be, but there's non much I tin do nearly that. Last year, my pacing was off inwards the other direction. We spent a total 2 months of the schoolhouse yr on information together with probability because nosotros got through the residue of the standards also quickly. I do know that this year's students receive got a much ameliorate handgrip on solving equations together with inequalities than terminal year's students, together with therefore I'm hoping this to a greater extent than venture foundation volition allow us to progress to a greater extent than rapidly during the minute semester.

Here are our notebook pages for Relations together with Functions. There are roughly former favorites which I reuse every unmarried yr together with roughly novel pages every bit well.

Each unit of measurement begins alongside a tabular array of contents divider. I've blogged nearly these earlier here. The starting fourth dimension side contains a department titled "Top Ten Things to Remember." Students consummate this either every bit nosotros piece of job through the unit of measurement or correct afterward nosotros goal the unit. I encourage my students to flip dorsum through their notes together with create upwards one's heed what the x most of import things nosotros learned were.

The other side of the divider contains a listing of our SBG skills for the unit. Students are required to tape their initial grade for each quiz together with whatever updated scores every bit a lawsuit of retaking quizzes.

We started out the unit of measurement past times refreshing our memories of the diverse ways to correspond relations. For my Algebra 1 students, they were already familiar alongside ordered pairs, input/output tables, together with the coordinate plane. Mapping diagrams were completely novel to them. Each representation got its ain flap on this foldable which is ane of my favorite foldables of the year.  

Now that we've reviewed relations, it's fourth dimension to utter nearly a really specific type of relation - a function. To innovate the thought of a function, nosotros completed a Frayer Model. 

Next, nosotros practiced writing sentences to justify whether a relation is a role or is non a function. I notice that students involve explicit exercise regarding how to properly justify something similar this. 

Now that nosotros know all nearly functions together with non-functions, it's fourth dimension for a function/not a role bill of fare sort. I blogged nearly this bill of fare form together with shared the file for it here. 

Since I started teaching, I receive got struggled to instruct independent together with subject variables inwards a means I am proud of. Each year, it seems similar I bear witness something new. And, no affair what, the same 60% of kids who intuitively sympathize independent vs. subject acquire it. And, the same 40% of kids who mix upwards subject together with independent EVERY SINGLE TIME soundless mix them upwards every unmarried time. This happens no affair how good I experience similar I've explained it.

Here is this year's attempt: 

I'm particularly proud of the inside. I recollect that having students sketch a graph has helped their agreement of independent vs. subject variables. 

This approach, however, was non the magic cure. I soundless had a fair seat out of students who switched the variables every unmarried time.

Now, let's receive got a closer await at discrete vs. continuous functions. 

This discrete vs. continuous bill of fare form soundless makes me together with therefore happy. I blogged nearly this activeness here terminal month. 

Once again, I chose to push clit out the adept ol' DIXI ROYD mnemonic device for Domain together with Range. 

I was feeling truly uninspired when it came fourth dimension to type upwards domain/range exercise problems for our notebooks. Luckily, Win Some Cash chore over again from terminal year. Again, my students got super sucked into the scenario. 

While doing the chore this year, I realized a error I had made terminal year. :( Last year, I had my students connect the dots to to a greater extent than easily run across the shapes made past times exponential, linear, together with quadratic functions. This year, I highly emphasized discrete vs. continuous graphs together with when it makes sense to connect the dots together with when it doesn't. This is truly a discrete function, together with therefore nosotros couldn't connect the dots this year. With this inwards mind, I'd similar to edit the activeness a flake side past times side yr to convey out the full general shapes of dissimilar types of functions to a greater extent than clearly.

Also, depository fiscal establishment complaint to self: brand the graph bigger. I made a depository fiscal establishment complaint nearly that terminal year, together with I forgot to cook it earlier printing it over again for this year! 

We lots of graphing practice. Students had to graph each role past times making an input/output tabular array together with form each role every bit linear, quadratic, absolute value, or exponential.  My students truly struggled alongside knowing how to connect the dots. When I instructed them to connect the dots from left to right, this but confused them fifty-fifty more. Not certain how to remedy this for side past times side year. Maybe I should brand roughly form of connect the dots puzzle for them to piece of job out that goes left to right...

This year, I meant to brand a summary page that discusses telephone substitution points nearly each type of function, but nosotros ran out of time.  It's definitely on the listing of things to cook for side past times side year. 

This 2 page spread inwards our notebooks but makes me smile. 

Influenza A virus subtype H5N1 Frayer Model for "Linear." Students had to create their ain examples together with non-examples. 

Our terminal notebook page of the unit of measurement was a linear/non-linear bill of fare sort.

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

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