# David Butterworth

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Mr. Butterworth’s Math Page

Math II, Algebra II

See what we’re doing in our classes by checking out the blog.

Math II Syllabus Algebra II Syllabus

If you miss class, please email me for assignments at David-Butterworth@scusd.edu

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Magic Autonomy Master begins

Sometimes attention to the how of what we do is more important than the what

One of the best ways we can learn is to think about “how” we learn.

In being able to write about or explain how we would go about a particular problem, we learn how it is we think about Math. Understanding, then, grows deeper.

Even if we do not understand how to do something, if we clearly articulate what it is we do not understand, we begin to make more sense of the situation. The more I attend to the specifics of how something works, the better the thing will end up working, and the better I will understand it.

Example: The problem is (3x+4) (2x-3)

Do I (a) know this problem well enough to teach someone else how to do it? Do I (b) know this problem not well enough to teach it but at least well enough to simply do it? Or © do I not know how to do this problem?

Then we will look at explanations or reasons for why we assessed ourselves in one of the three categories. It is precisely this “writing clearly” about the “how” (or the explaining of how I do or do not know something) that will deepen learning.

(Click the title to read more)…

## Reminder about HomeWorks

We do HW to practice Math skills we learn and develop in class. It is of zero value to NOT do homework and then copy the homework “answers” as we go over them in class.

That being said, I am increasingly happy to see most students diligently “checking” their answers and asking questions when we go over the homework in class.

It’s nice to see these young men and women learning to monitor their own progress!

Have a great weekend.

~Mr. B

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Tutoring for Mr. Butterworth’s students

Or for ANY Math II or Algebra II students

Just a reminder, tutoring is in C-200 Tuesday – Thursday after school from 3pm – 4pm.

Extra credit will be awarded for the students in Mr. Butterworth’s classes who attend.

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A video about why Math is taught differently now

Good resource for parents

Why Math is Taught Differently Now

I think Raj makes some excellent points.

According to Aristotle, Math is a higher order of conceptualizing – a kind of thinking that is useful if one is to evolve in the use of their brain to higher levels.

Learning how to “do Math” then, is about much more than Math.

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Teaching Comes From Each Other

Notes from the day, Tuesday, September 22

Today in all of our classes we did something called “5, 5, 10″

5 problems.

5 minutes for students to individually work on them.

10 minutes to group up and check, teach, and come to some agreement on the the 5 problems.

It went great. All day we had great instruction THAT WASN’T COMING FROM ME. We had students teaching each other, helping each other, and communicating about mistakes. Great learning day.

…

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A note about Boom Quiz scores

Or... a great way to know if coming in for extra help is a good idea or not

Boom Quizzes are here for us to practice assessing our understanding of the week’s content covered in class.

If your Boom Quiz score is not great, this is a good indication that you should be coming in during the following week after school to get some extra help.

It is your responsibility to monitor yourself so you don’t fall behind. If you have a question or are having trouble understanding something we’re doing, find me for help! Or ask a classmate. There are so many options. Saying “I don’t know” is not one of them.

~Mr. B

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Weekly Extra Credit #3

Week of September 21st

Make a poster of an equation or theorem related to Math.

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Weekly Extra Credit #2

Week of September 14th

What do you respect or value most about the person you are becoming – and how can you use this knowledge to become a better teammate or student?

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Test your recall with this game!

Irrational vs. Rational numbers

Click the following link to play:

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Vocabulary Words

Week of September 7th

**Equivalent**: equal in value, measure, force, effect, or significance; having the same ratio (Math)

Ex 1: The volume of Mr. Butterworth’s room is equivalent to the volume of Mr. Crenshaw’s room.

Ex 2: 1/4 is equivalent to 2/8.

**Rational number**: A rational number is a number whose decimal value repeats or ends; any ratio of two integers

Examples: 3, -3, 2.5, 2/5, 1/3, .333333

**Irrational number**: An irrational number is a number whose decimal value never repeats and never ends

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Homework Checks / Grading

Attention Mr. Butterworth's students!!!

Each week you will have anywhere from two to four homework assignments, on average. Unless I specifically ask you to turn them into the turn-in box, these “homeworks” are to be kept in your three-ringed Math Binders.

Receiving credit for work…

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Anytime Extra Credit Option

Four 4's, Five 5's, or Six 6's

Like we did in class, finding solutions with the numbers 1 – 20 using any mathematical operations to arrange Four 4’s…

Do the same, using any mathematical operations to arrange either Four 4’s, Five 5’s, or Six 6’s to find solutions for the numbers 1 – 100.

For example, 5 x 5 + 5 – (5/5) = 29.

I used Five 5’s to get a solution for the number 29. Now only 99 more numbers to get solutions for!

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Weekly Extra Credit #1

Week of September 7th

If you could design the IDEAL school, what would it look like and why?

* 1000 + words

Due by following Monday.

## First Boom Quiz and Group Task

Boom Quiz each Friday. First one was basic, just to get the routine rolling.

One question from the Quiz today was: List five different ways you use the number 1 in the real world. I always like to see how creative and outside-the-box students answer questions like this.

Afterward, we broke up the monotony of sitting in one place for way too long, by getting up and sitting somewhere new. Then students made groups… to talk about groups!