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Teaching Algebra 2 A — Delivery Guide & Professional Development

Curriculum

  • 5 Sections
  • 16 Lessons
  • Lifetime
Expand all sectionsCollapse all sections
  • Module 1: Teaching Algebra 2 A
    4
    • 1.1
      Algebra 2 A and the UC A-G Area C Case
      25 mins
    • 1.2
      Real California Data, Productive Struggle and Discourse Norms
      35 mins
    • 1.3
      Pacing Semester A and What to Cut
      25 mins
    • 1.4
      Tools, Access and Integrity
      25 mins
  • Module 2: Unit 1 — Sequences and Functions
    3
    • 2.1
      Unit 1 Briefing — Sequences, Series and the Off-by-One Problem
      25 mins
    • 2.2
      Facilitating the Series Derivation Lab and the Loans-and-Savings Workshop
      30 mins
    • 2.3
      Scoring the Wages, Raises and a Savings Plan Report, With Exemplars
      35 mins
  • Module 3: Unit 2 — Polynomials
    3
    • 3.1
      Unit 2 Briefing — Zeros, Signs and the Seduction of R-Squared
      25 mins
    • 3.2
      Facilitating the Remainder Theorem Lab and the Identities Workshop
      30 mins
    • 3.3
      Scoring the Reservoir Storage Report, With Exemplars
      35 mins
  • Module 4: Unit 3 — Rational Functions and Equations
    3
    • 4.1
      Unit 3 Briefing — Asymptotes, Cancellation and Kept Extraneous Roots
      25 mins
    • 4.2
      Facilitating the Rational Equations Lab and the Formulas-and-Rates Workshop
      30 mins
    • 4.3
      Scoring the Blending Water Supplies Report, With Exemplars
      35 mins
  • Module 5: Unit 4 — Complex Numbers and Rational Exponents
    3
    • 5.1
      Unit 4 Briefing — Roots, the Lost Plus-or-Minus and the Imaginary Unit
      25 mins
    • 5.2
      Facilitating the Complex Numbers Lab and the Fundamental Theorem Workshop
      30 mins
    • 5.3
      Scoring the Orbits and Rational Exponents Report, With Exemplars
      35 mins

Algebra 2 A and the UC A-G Area C Case

Module 1  ·  Teaching Algebra 2 A  ·  1 of 16

Algebra 2 A and the UC A-G Area C Case

ALG2A-CA-PDTeacher guide
By the end of this module you will be able to…

explain how Algebra 2 A and B together meet the CA CCSS Algebra II standards and the UC area C expectations, and show a reviewer where each standard is taught.

Algebra 2 A and Algebra 2 B are one full-year course, submitted together to UC as area C (mathematics) at the Algebra II / Mathematics III level. A student needs both semesters for the year of credit. The standards file for the course holds the 57 CA CCSS codes of the traditional-pathway Algebra II course, including the California additions (F-LE.4.1-4.3 on logarithms, F-TF.2.1 on graphing all six trigonometric functions, G-GPE.3.1 on circles and parabolas from the general quadratic, and A-REI.3.1 on absolute value), the (+) standards the course lists, and the S-IC inference standards. Every one of them is cited in at least one lesson across the two semesters, and the builder checks that before anything is published.

What Semester A covers. Four units follow the Illustrative Mathematics Algebra 2 sequence (CC BY 4.0), which we adapted rather than copied: Sequences and Functions; Polynomials; Rational Functions and Equations; and Complex Numbers and Rational Exponents. Exponentials and logarithms, transformations, trigonometry and statistics are in Semester B.

The area C case in one paragraph. UC reviewers look for three things in a mathematics course: depth of content beyond Algebra 1 and Geometry, reasoning and proof, and application. This semester gives reviewers concrete evidence of each. Students derive the geometric series formula (Lesson 1.3), prove the Remainder Theorem and polynomial identities (2.3, 2.4), argue closure for polynomials and rational expressions (2.1, 3.2), explain why extraneous solutions arise instead of only catching them (3.3, 4.2), and show the Fundamental Theorem of Algebra for quadratics by completing the square (4.4). Every unit ends in a modeling report built on real data and taken through a planning stage, a peer-reviewed draft, a revised final and a presentation. When a reviewer asks for evidence of rigor, show them a discourse-lab critique and a culminating report rather than a test.

Your part in keeping the case true. The case depends on the proofs and discourse labs actually happening. If time is short, protect them and cut practice volume instead (Lesson 1.3 of this guide). A course that skips the derivations and runs only the procedure labs would still cover the standards on paper, but it would not be the course UC approved.

Unit assessments. The course expects at least one proctored or synchronous component per unit, with one written derivation or proof on each unit test. That component, together with the multi-stage reports, is what keeps the grade a reliable measure of the student’s own reasoning.

Where the Semester A standards land

DomainStandardsPrimary lessons
Sequences and seriesF-BF.1, F-IF.5, F-IF.6, A-SSE.41.1-1.5
Structure of expressionsA-SSE.1, 1.a, 1.b, A-SSE.21.1, 1.3, 2.2, 2.4, 4.1
PolynomialsA-APR.1-5, F-IF.7, F-IF.7.c2.1-2.5
Rational expressions and equationsA-APR.6, A-APR.7, A-REI.2, A-REI.11, A-CED.1-4, F-BF.1.b3.1-3.5
Roots and radical equationsF-IF.7.b, A-REI.24.1, 4.2, 4.5
Complex numbersN-CN.1, 2, 7, 8, 94.3, 4.4
Modeling and interpretationF-IF.4, F-IF.9, A-CED.2, A-CED.3, MP.1-MP.8Every unit, especially x.4 and x.5

One year, two semesters

Algebra 2 A alone is not a year of area C credit. Transcripts must show both ALG2A-CA and ALG2B-CA. Coverage of the full standards set is checked across the two semesters together.

+50 XP

A reviewer asks for evidence that the course includes proof. Which is the strongest single artifact from Semester A?

The discourse-lab derivation shows reasoning and justification directly.
Quick self-check

How confident are you that you can explain the area C case and show where each Semester A standard is taught?

Not yetVery confident

Standards this module helps you deliver: A-SSE.4, A-APR.2, N-CN.9, MP.3, MP.4

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