Multiplicity of Zeros

Objective:

I can describe the effect of the multiplicity of zeros has on a polynomial graph in order to sketch a rough graph of a polynomial (and/or write the equation of a polynomial in factored form given the polynomial graph).

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What we learn in this lesson was one of the coolest things I discovered when preparing this unit. I don’t know how the smart mathematicians that came before us figured it out, but it is super cool (to me, your nerdy math teacher, at least!) that we can determine if the graph is going to “bounce” or simply “pass through” at certain points, all based on the multiplicity of zeros. Just another key to the puzzle of understanding what is happening in our polynomial graphs!

Lesson Steps:

On this webpage, you will find everything you need for the lesson! It will be laid out in the order that you should work through them to best facilitate mastery for this lesson. Each title will also jump you to that part of the page for quick navigation!

• Watch video and take notes
  • Participation in the EdPuzzle will be required for your grade! Make sure to login using your Google login to the correct class period’s video in order to earn credit for your EdPuzzle participation!!!
• Complete the independent practice
  • This will usually be on DeltaMath, but sometimes MathXL or another program
• Bring practice page to me to receive mastery check

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Watch Video & Take Notes:

• As you watch the video, copy down the notes in to the unit packet you received at the beginning of the unit.
• You only need to complete the parts of the notes that I complete in the video
• Any other problems/notes that are skipped in the video can be skipped by you.
  • I will have a completed set of notes in a binder if you don’t like the missing/blank areas. You can simply copy down the missing parts, or you can try the problems yourself first and then use the copy in the binder to check your work. Whatever you need.
  • Again, you can just leave it blank! The above options are just if you’d like the extra practice, you’ve been told to go back and do the extra practice to be eligible for a revision on a mastery check, or simply if you want to do them so your notes are complete.

EdPuzzle Required for Grade!

Independent Practice:

• Go to www.DeltaMath.com and independently complete practice ~ 3.4 – Multiplicity of Zeros
• When done, write down your completed percentage for this lesson on the practice page.

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Mastery Check:

• You may ask for your mastery check if you have completed:
  • All notes for this lesson
  • All practice for this lesson
• If both requirements are done, bring your lesson practice page and come ask me for the mastery check. You will need a pencil or pen.

Reminders about Mastery Checks:

• No phones or computers are allowed. Set your playlist on your earbuds prior to asking for the mastery check (if you want/need)
• Calculators are allowed on mastery checks.
• Notes may be allowed on some mastery checks – I will let you know which. More likely, I will have any important formulas posted so you don’t need your notes.
• Mastery checks can only be completed at the designated table.

Once Done with a Mastery Check…

• Turn in to your class period’s bin
• Continue on to the next lesson until you find out if your mastery check was correct or if it needs to be revised
  • Does your name move to the next column? Congratulations! Mark that on the lesson practice page as mastered and continue working through the next lesson!
  • Does your name end up highlighted in orange? Don’t despair! Follow the steps below.

If You Need to Revise

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