Algebra 1: Radicals Unit INB Pages

We of late finished our unit of measurement on radicals inward Algebra 1. Now that we're on to polynomials, I thought I would portion our notebook pages too activities for radicals.

Each unit of measurement begins amongst a divider. I blogged nigh these dividers inward to a greater extent than item 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 nigh these start few pages inward a post service titled "Reviewing Prime Factorization at the High School Level." I explained inward 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 pick out the method that they preferred.

I gave my students a nautical chart of the prime numbers below 100 to mucilage inward 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 nigh vocabulary throughout this unit. This quick graphic organizer is a handy reference for my students equally they are trying to continue their radicands, indices, too coefficients straight.
Steps for Simplifying Radicals:

Practice Problems:

You tin read to a greater extent than nigh the dry out erase locomote mat I made for my students to role when simplifying radicals inward this spider web log post.

Up adjacent is adding too 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 too Subtracting Radicals Practice Book

Since the do majority doesn't accept upwards much of the page, I told my students that they could role this blank infinite to continue their prime factorizations for futurity reference. Then, they could re-use these prime factorizations when similar problems came upwards inward the future.

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

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

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

Some of my students actually took to this idea, too they used their spare fourth dimension inward course of written report over a few days to consummate the entire chart.

Multiplying Radicals Practice Book

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

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

Now that nosotros alive inward the days of a smartphone inward every pocket, it's difficult to imagine what life was similar inward the days earlier calculators. So, for this activity, I made my students seat away their calculators too create approximately math yesteryear hand.

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

I asked them to calculate ii values yesteryear manus using the decimal approximations from the table. Students had to abide by 5 divided yesteryear beginning ii too 5 multiplied yesteryear beginning two.

My students flew through the calculation for 5 times beginning two. They couldn't fifty-fifty recall how to fix the long sectionalisation work for 5 divided yesteryear beginning 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 too multiplying radicals. This is definitely on my to create listing for adjacent year!

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