Radical Radicals

We are currently learning nearly radicals inwards Algebra 2.  I am loving this unit!  I'm edifice this unit of measurement off of a curt unit of measurement I did on radicals amongst my Algebra 1 kiddos towards the halt of terminal year.  After all, there's no involve to reinvent the wheel...  We're notwithstanding working on this unit, together with then at that spot volition endure to a greater extent than pages posted quondam inwards the future.

Radical Functions Table of Contents

I'm doing something else radical amongst this unit of measurement on radicals.  I'm trying out SBG.  To endure honest, I was disgusted amongst my Algebra ii students' functioning on the previous unit.  I receive got quite a few students who CANNOT element a trinomial.  They bombed their terminal test.  But, they are notwithstanding passing my class.  Therefore, they receive got no motivation to truly larn to factor.  I've ever loved the thought of standards based grading, but I've ever written it off earlier every bit likewise fourth dimension consuming.

I receive got it all back.  Do yous know what is likewise fourth dimension consuming?  Spending almost an entire calendar month on a unit of measurement together with having students non main telephone commutation concepts because your grading organization tells them they don't receive got to.  Grades inwards my degree receive got acquire almost meaningless.  I loathe it.  When I await at a students' evidence score, I don't know what they know good together with what they don't know at all.  I don't know if they completely mastered 1 topic together with left to a greater extent than or less other topic blank.  Or, mayhap they made lilliputian mistakes on all of the topics.

It's gotten to the hollo for where I loathe to grade.  I allow the pile of papers to degree sit down there, growing, all calendar week long.  Eventually, I seize amongst teeth the bullet together with receive got a marathon grading session.  When I overstep dorsum papers together with tests, really few students await to larn from their mistakes.  I take away heed other teachers verbalize nearly writing comments all over their students' papers.  I don't fifty-fifty do that.  Why?  I know they won't read them.

In a desperate measure, I threw this together inwards nearly an hour.  I wrote half dozen learning goals for our unit of measurement on radicals.  I decided to degree on a scale from 0-4.  Is this the best scale?  I receive got no clue.  This was totally terminal minute.  Once a pupil achieves a four on a learning goal, they are exempt from questions that encompass that learning destination on all hereafter quizzes.

I had my students gum inwards a score tracking canvas on the page facing their tabular array of contents for Unit 4.  Every day, I overstep dorsum the previous day's quiz.  Students update the canvas inwards their notebook.  Then, I review the questions students receive got questions on.  I similar that this novel method is forcing me to instruct inwards layers, non lumps.

If a pupil doesn't acquire a 4, they straightaway showtime looking for their mistake.  I receive got rarely been writing comments on the quizzes.  I simply set a number.  It makes students think.  Where did I conk wrong?  How tin give the sack I avoid making this error on today's quiz?  They acquire mad at me when I give them a three for a tiny, tiny mistake.  But, past times forcing them to retake the quiz, I am ensuring that they volition never brand that error again.

This organization is a piece of employment inwards progress.  I'm liking it together with then far.  And, my students are liking it, too.  I notwithstanding receive got a handful of students who aren't trying on the quizzes.  I'm non together with then certain what to do nearly that.  The exclusively electrical charge from students is that at nowadays they can't acquire their cite on the Star Student Bulletin Board for making an 85 or higher upwards on our unit of measurement tests since the quizzes are replacing the unit of measurement test.

I dear looking through my degree book.  I tin give the sack scroll downward the columns together with instantly know who needs piece of employment amongst each aspect of the chapter.  I'm notwithstanding trying to figure out how to do homework amongst sbg.  And, I'm toying amongst trying out SBG amongst my Algebra 1 kiddos during our linear functions unit.  Decisions, decisions, decisions...

SBG Tracking Chart together with Table of Contents

Before nosotros could delve into simplifying radicals, I needed to refresh my students' memories regarding prime together with composite numbers.  We color-coded a hundreds nautical chart to continue inwards our notebooks for reference.

On the sides of the chart, nosotros wrote definitions for prime together with composite numbers.  Two of my students decided nosotros should color our prime release Definition the same color every bit our prime numbers on the nautical chart together with likewise for the composite numbers.  Color With Influenza A virus subtype H5N1 Purpose.  I similar it!

Prime together with Composite Numbers Chart

We used highlighters that I had ordered from Amazon.  They worked good for this activity.

Highlighters!

I'm notwithstanding inwards dear amongst the birthday cake method for prime factorization.  I've written earlier nearly why I similar this method ameliorate than element trees.

The Birthday Cake Method for Finding Prime Factorization 

I typed out the steps for finding the prime factorization for my students to relieve time.  We also did examples together inwards our interactive notebooks.

Prime Factorization Birthday Cake Examples

Vocabulary is a really of import component of this chapter.  When I started pedagogy algebra, I didn't know the damage index or radicand.  I'm certain my algebra instructor taught those words to me, but I never had to utilization them.  I volition non allow my students conk downward this same path.  We are constantly talking nearly the index together with radicand!

Parts of a Radical - Index, Radicand, Radical Symbol

For practice, students had to determine the index together with radicand of these radicals.  This farther emphasizes the necessary vocab for this unit.

Parts of a Radical Examples

I also typed out the steps for simplifying radicals.  Last year, I had students write this out past times hand, together with it took WAY likewise long.

Steps for Simplifying Radicals

Then, nosotros did examples of simplifying radicals inwards our notebooks.

Simplifying Radicals Examples

After simplifying radicals, nosotros moved on to adding together with subtracting similar radicals.

Adding together with Subtracting Like Radicals Notes

And, this was presently followed past times multiplying radicals.

Multiplying Radicals Notes

  

We notwithstanding receive got yet to encompass dividing radicals, rationalizing the denominator, together with converting betwixt radical shape together with rational exponent form.

PDF Templates together with Publisher Templates tin give the sack endure downloaded here.  

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