Algebra 1: Radicals Unit Of Measurement Inb Pages

We of late finished our unit of measurement on radicals inwards Algebra 1.  Now that we're on to polynomials, I thought I would part our notebook pages as well as activities for radicals.  

Each unit of measurement begins amongst a divider.  I blogged almost these dividers inwards to a greater extent than special here.  

The other side of the divider includes a listing of our SBG skills for the unit.

Here's a close-up of our 4 skills over radicals:

I've already blogged almost these kickoff few pages inwards a post service titled "Reviewing Prime Factorization at the High School Level."  I explained inwards this post service why I prefer using the birthday cake method for prime factorization instead of the to a greater extent than traditional element tree method.  

Even though I prefer the birthday cake method for finding prime factorization, I showed both methods to my students.  They were allowed to select the method that they preferred.

I gave my students a nautical chart of the prime numbers below 100 to mucilage inwards their notebooks.  Some of my students beloved this chart.  Others prefer to role the poster I made to hang on the wall of our classroom.

Practice Book for Finding Prime Factorization

Parts of a Radical

I am SUPER-picky almost vocabulary throughout this unit.  This quick graphic organizer is a handy reference for my students every bit they are trying to proceed their radicands, indices, as well as coefficients straight.
Steps for Simplifying Radicals:

Practice Problems:

You tin read to a greater extent than almost the dry out erase run mat I made for my students to role when simplifying radicals inwards this weblog post.



Up side yesteryear side is adding as well as subtracting radicals.  I'm pretty happy amongst this novel graphic organizer I came upwards with.  My students seemed to reference it quite a bit.

Adding as well as Subtracting Radicals Practice Book

Since the exercise mass doesn't cause got upwards much of the page, I told my students that they could role this blank infinite to proceed their prime factorizations for hereafter reference.  Then, they could re-use these prime factorizations when similar problems came upwards inwards the future.

I modified my adding as well as subtracting radicals graphic organizer to brand this multiplying radicals graphic organizer.

One of my students suggested that it would travel super-cool if nosotros had a page inwards our notebook that provided us amongst the prime factorization for every unmarried number.

I made this nautical chart for students to mucilage inwards amongst the numbers betwixt 1 as well as 100.  Of course, I didn't give my students the prime factorization for each number.  They had to fill upwards those inwards themselves!

Some of my students actually took to this idea, as well as they used their spare fourth dimension inwards class over a few days to consummate the entire chart.

Multiplying Radicals Practice Book

After multiplying comes dividing.  Of course, that way nosotros cause got to larn to rationalize the denominator.  Oklahoma adopted novel math standards this twelvemonth that specify that Algebra 1 students must travel able to rationalize the denominator.

Whenever I've taught rationalizing the denominator inwards the past, students oftentimes questioned why nosotros weren't allowed to cause got a radical inwards the denominator.  I tried to explicate how it was a form of math "tradition," only I'm non certain my students fully understood the argue it became a tradition.  I learned almost this at a workshop that I blogged almost here.

Now that nosotros alive inwards the days of a smartphone inwards every pocket, it's difficult to imagine what life was similar inwards the days earlier calculators.  So, for this activity, I made my students pose away their calculators as well as produce roughly math yesteryear hand.

First, nosotros discussed how people flora diverse mathematical values using books of tables inwards the days earlier calculators.  Students were confused almost how to read the table, only I think they caught on afterward a bit.

I asked them to calculate 2 values yesteryear mitt using the decimal approximations from the table.  Students had to discovery 5 divided yesteryear rootage 2 as well as 5 multiplied yesteryear rootage two.

My students flew through the calculation for 5 times rootage two.  They couldn't fifty-fifty shout upwards how to gear upwards the long sectionalization work for 5 divided yesteryear rootage two.  We ended upwards doing that 1 together!

They all agreed that multiplying yesteryear a radical was MUCH easier than dividing yesteryear a radical!

Summary notes:

Rationalizing the Denominator Practice Book:

I never ended upwards making a dividing radicals graphic organizer to acquire along amongst the graphic organizers for adding/subtracting radicals as well as multiplying radicals.  This is definitely on my to produce listing for side yesteryear side year!

And, that wraps upwards our unit of measurement on radicals!  Files are uploaded here.

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