## Historic Algebra Problems.docx - Section 2: Discussion: An Historic Problem - reasoning abstractly and quantitatively

# What is Algebra?

Lesson 1 of 15

## Objective: Students will be able to explain why algebra needs definitions and axioms, what some of these first principles are, and what it means to "do algebra".

*45 minutes*

#### Homework

*10 min*

In the final 10 minutes of class, there are several things to accomplish.

First, I will assign the homework for the night, which is to complete the remaining two problems on the *Historic Algebra Problems* handout. This will be due at the beginning of class tomorrow.

Second, I will handout *The Weekly Workout *general guidelines along with the their first *Weekly Workout 1*. Quickly, I will explain the rationale behind the weekly workout - it's about staying strong through constant practice - and ask everyone to write the due date on the top of the assignment. It won't be easy, but I'll have to avoid getting side-tracked by lots of questions here!

Finally, I will pass out the class syllabus to all of the students, asking them to read it and share it with their parents. Their parents must send me an email sometime before Friday so that I know they are able to contact me if they need to, and so that I can contact them. This is *another *homework assignment!

It's important to write all of the assignments on the whiteboard and to make sure that the students copy the due dates into their planners, but it's also important to send them off with a smile and a big "Welcome to algebra!" at the end of class.

*expand content*

*Responding to Ruby Mercure*

Ruby,

The first year is tough, so hang in there! I've just shared a Dropbox folder with you that should have all of the Weekly Workouts from the year. Unfortunately, they are all pdf's, so you won't be able to edit them easily. I'd see if you can get hold of a worksheet-generating software to make your own (I used something from Kuta Software called "Infinite Algebra" or "Infinite Precalculus" to make these.) I'd also had a TA check the workouts for me as soon as they were turned in; she would simply mark the incorrect answers, and then I could review these specific problems and more easily zero-in on where my students were still struggling. It's important that you look at not only WHAT your students get wrong, but WHY. That's the only way you'll be able to help them.

Good luck!

Jacob

| 6 months ago | Reply*Responding to Ruby Mercure*

Ruby,

The first year is tough, so hang in there! I've just shared a Dropbox folder with you that should have all of the Weekly Workouts from the year. Unfortunately, they are all pdf's, so you won't be able to edit them easily. I'd see if you can get hold of a worksheet-generating software to make your own (I used something from Kuta Software called "Infinite Algebra" or "Infinite Precalculus" to make these.) I'd also had a TA check the workouts for me as soon as they were turned in; she would simply mark the incorrect answers, and then I could review these specific problems and more easily zero-in on where my students were still struggling. It's important that you look at not only WHAT your students get wrong, but WHY. That's the only way you'll be able to help them.

Good luck!

Jacob

| 6 months ago | Reply*Responding to Jacob Nazeck*

Hi Jacob,

Thank you so much! I think my students will benefit greatly from it. I understand that they were tailored to fit your students needs. I am a first year teacher, and so your resources have been helping me tremendously. If you could dropbox them to me, my email is rubyhmercure@gmail.com. Thanks so much again, Ruby.

| 6 months ago | Reply*Responding to Ruby Mercure*

Ruby,

I'm glad to hear you're using the Weekly Workout - it made a huge difference for my students. If you'd like, I can share the rest of the Workouts with you. The thing to remember is that they were "custom made" to fit the pace of my own class and the specific order in which we covered things. Like you know, this can vary from class to class, so they may not fit your own class perfectly. Still, I'm happy to share them with you via dropbox if you'd like.

Jacob

| 6 months ago | Reply

Hi Jacob, I am wondering, where are the other weekly workouts? I have been looking through many of the other lessons but can't seem to find any. Would love to keep them going but have only assigned the first so far!

Thank you so much

| 6 months ago | Reply

Hi Jacob, This is Mauricio from the 8th grade team. I'm teaching an Alg 2 class this year and decided, among the others, to use your curriculum. Just wanted to share that with you. After going through the rest of them, I feel more comfortable with yours. I may be reaching out to you for questions or comments, though probably not. Hope all is well,

Cheers

| one year ago | Reply*expand comments*

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- UNIT 1: Modeling with Algebra
- UNIT 2: The Complex Number System
- UNIT 3: Cubic Functions
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- UNIT 5: Quarter 1 Review & Exam
- UNIT 6: Exponents & Logarithms
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- UNIT 10: End of the Year

- LESSON 1: What is Algebra?
- LESSON 2: The Music Shop Model, Day 1 of 2
- LESSON 3: The Music Shop Model, Day 2 of 2
- LESSON 4: Letters & Postcards, Day 1 of 2
- LESSON 5: Letters & Postcards, Day 2 of 2
- LESSON 6: Choose Your Own Adventure
- LESSON 7: What Goes Up, Day 1 of 3
- LESSON 8: What Goes Up, Day 2 of 3
- LESSON 9: What Goes Up, Day 3 of 3
- LESSON 10: The Constant Area Model, Day 1 of 3
- LESSON 11: The Constant Area Model, Day 2 of 3
- LESSON 12: The Constant Area Model, Day 3 of 3
- LESSON 13: Practice & Review, Day 1 of 2
- LESSON 14: Practice & Review, Day 2 of 2
- LESSON 15: Unit Test