Algebra Is a Language
Algebra is how we write patterns that refuse to stay small.
Show one arithmetic pattern → variable expression.
Name one property you will refuse to fake.
Open algebra notebook; date Week 1.
What the verbs attempt
Close-read the Preamble. Circle verbs. Margin-note what each tries to do for a republic.
“We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.” U.S. Constitution, Preamble (public domain)
Model three verb annotations aloud.
Student names the next verb’s work.
Full paraphrase without losing structure.
Name the license for each step
From arithmetic patterns to variable expressions. Require commutative, associative, or distributive when you rewrite.
One narrated simplify with property names.
Four expressions; student narrates two.
10 simplify + 3 “which property?”
Rearrange or remake?
Two demos: ice melt (physical) vs vinegar + baking soda (chemical). Observation table → CER with limitation.
Safety + one demo narrated.
Shared observation row.
CER + list one limitation.
Words that earn the week
Each word must appear in a sentence that could sit in a portfolio — not a dictionary dump.
Protect algebra stamina
Build Mon–Fri blocks including elective and sleep. Honesty check: heavier load, same human.
Show a real HS-style calendar once.
Place sleep + elective constraints.
Independent planner photo/log.
Defend the verbs — and the properties
Seminar teach-back (3 min): Preamble verbs or distributive property. Evidence or it didn’t happen.