## 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*

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- UNIT 1: Modeling with Algebra
- UNIT 2: The Complex Number System
- UNIT 3: Cubic Functions
- UNIT 4: Higher-Degree Polynomials
- UNIT 5: Quarter 1 Review & Exam
- UNIT 6: Exponents & Logarithms
- UNIT 7: Rational Functions
- UNIT 8: Radical Functions - It's a sideways Parabola!
- UNIT 9: Trigonometric Functions
- 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