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LOVELADY INDEPENDENT SCHOOL DISTRICT LOVELADY INDEPENDENT SCHOOL DISTRICT

Precalculus (Copy)

Precalculus Course Syllabus

Course Overview

This is an advanced course that uses the structural unit progression developed by All Things Precalculus to master the Texas Essential Knowledge and Skills (TEKS).

Grading Policy

  • 60% Major Grades (Unit Tests, Projects)
  • 40% Daily Grades (Homework, Quizzes, Classwork Binder) [1, 2]

Pacing is adjusted as needed based on overall students’ prior knowledge and time required to reteach or fill gaps from geometry and Algebra II.  Students are required to have a fundamental understanding of both to successfully complete precalculus.

 

First Six Weeks: Unit 1 & Unit 2

  • Curriculum Units:
    • Unit 1: Fundamental Skills (factoring, rational expressions, radicals, complex numbers, absolute value/quadratic equations).
    • Unit 2: Functions & Their Graphs (parent functions, transformations, domain/range, extrema, continuity, piecewise, inverses). [1, 2, 3]
  • TEKS Focus: P.2A–I, P.2L, P.2N, P.5C (Analyzing behaviors, evaluating, and transforming parent algebraic functions).

 

Second Six Weeks: Unit 3 & Unit 4

  • Curriculum Units:
    • Unit 3: Polynomial & Rational Functions (zeros, multiplicity, theorems, graphing, slant asymptotes, nonlinear inequalities).
    • Unit 4: Exponential & Logarithmic Functions (log properties, solving exponential/log equations, growth and decay modeling). [1]
  • TEKS Focus: P.2F–K, P.3A–C (Properties, attributes, and real-world modeling of polynomial, rational, power, and exponential systems).

 

Third Six Weeks: Unit 5 & Unit 6

  • Curriculum Units:
    • Unit 5: Trigonometric Functions (unit circle, degree/radian conversions, graphing sine/cosine/tangent, translations, inverse trig).
    • Unit 6: Trigonometric Identities & Equations (verifying identities, sum/difference formulas, double/half-angle formulas, solving trig equations). [1]
  • TEKS Focus: P.4A–H, P.5A–C (Radian measures, geometric proofs, and algebraic solutions of trigonometric function relationships).

 

Fourth Six Weeks: Unit 7 & Unit 8

  • Curriculum Units:
    • Unit 7: Polar & Parametric Equations (polar coordinate system, symmetry, rose curves/limaçons, rectangular/polar conversions, parametric graphing).
    • Unit 8: Vectors (vector operations, direction angles, dot product, work, velocity, complex numbers in polar form). [1]
  • TEKS Focus: P.4I–K (Graphing polar coordinates, sketching parametric paths, and solving applied vector modeling problems).

 

Fifth Six Weeks: Unit 9 & Unit 10

  • Curriculum Units:
    • Unit 9: Conic Sections (equations and graphs of circles, ellipses, hyperbolas, and parabolas; polar forms of conics).
    • Unit 10: Systems of Equations & Matrices (nonlinear systems, 3-variable systems, matrix operations, determinants, and inverses). [1]
  • TEKS Focus: P.3D–F, P.6A–E (Analyzing characteristics of conic sections and using matrices to solve multi-variable systems).

 

Sixth Six Weeks: Testing & Review

  • Curriculum Focus:
    • Pre-Calculus End of Year Review Unit cumulative packets.
    • Targeted diagnostic remediation and benchmark assessments.
    • Semester finals and state/district benchmark test accommodations. [1, 2]
  • TEKS Focus: P.2 through P.6 (Comprehensive spiral practice spanning all mandatory readiness standards evaluated over the school year).

Required Classroom Supplies

  • Course Workbook: All Things Precalculus Student Packets.
  • Binder: 2-inch heavy-duty 3-ring binder.
  • Supplies: Graph paper, highlighters, and pencils.
  • Calculator: TI-Nspire Graphing Calculator. [1] will be supplied.