Precalculus and Advanced Topics Module 3

Precalculus Module 3 Lesson 7 Diagram

Students revisit the fundamental theorem of algebra as they explore complex roots of polynomial functions.  They use polynomial identities, the binomial theorem, and Pascal’s Triangle to find roots of polynomials and roots of unity. Students compare and create different representations of functions while studying function composition, graphing functions, and finding inverse functions.

The student materials consist of the student pages for each lesson in Module 3.

The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials.

Downloadable Resources

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Precalculus and Advanced Topics Module 3: Teacher Materials (14.84 MB)
Precalculus and Advanced Topics Module 3: Student Materials (4.06 MB)
Precalculus and Advanced Topics Module 3: Copy Ready Materials (1.23 MB)
Precalculus and Advanced Topics Module 3: Module Overview (681.25 KB)
Precalculus and Advanced Topics Module 3: Module Overview (282.82 KB)
Precalculus and Advanced Topics Module 3: Mid-Module Assessment (671.55 KB)
Precalculus and Advanced Topics Module 3: Mid-Module Assessment (211.62 KB)
Precalculus and Advanced Topics Module 3: End-of-Module Assessment (1003.84 KB)
Precalculus and Advanced Topics Module 3: End-of-Module Assessment (387.44 KB)
Precalculus and Advanced Topics Module 3: Teacher Materials - Zip File of Individual Documents (35.98 MB)
Precalculus and Advanced Topics Module 3: Student Materials - Zip File of Individual Documents (13.06 MB)
Precalculus and Advanced Topics Module 3: Topic Overviews - Zip File of Individual Documents (1.83 MB)
Precalculus and Advanced Topics Module 3: Arabic - Zip Folder of PDF Files (7.29 MB)
Precalculus and Advanced Topics Module 3: Arabic - Zip Folder of Word Documents (5.77 MB)
Precalculus and Advanced Topics Module 3: Simplified Chinese - Zip Folder of PDF Files (7.42 MB)
Precalculus and Advanced Topics Module 3: Simplified Chinese - Zip Folder of Word Documents (6.31 MB)
Precalculus and Advanced Topics Module 3: Spanish - Zip Folder of PDF Files (6.04 MB)
Precalculus and Advanced Topics Module 3: Spanish - Zip Folder of Word Documents (5.41 MB)
Precalculus and Advanced Topics Module 3: Traditional Chinese - Zip Folder of PDF Files (8.62 MB)
Precalculus and Advanced Topics Module 3: Traditional Chinese - Zip Folder of Word Documents (6.3 MB)

Common Core Learning Standards

CCLS State Standard
N.CN.8 (+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x...
N.CN.9 (+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
A.APR.5 (+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a...

Curriculum Map