👩‍🏫 For Teachers · Para sa Teachers

Pre-Calculus — Teacher View

Pre-Calculus · Para sa guro

The complete DepEd SHS Pre-Calculus course — conic sections, polynomial and rational functions, sequences and series, systems and matrices, trigonometry, identities and laws, complex numbers and vectors — with free video lessons.

Para sa mga guro: panoorin sa klase, i-print ang worksheet, o i-share ang link sa mga estudyante. — Dr. E

Use this with your class: Google Classroom Facebook
Tap any unit to open lessons inline — hit ▶ to play in class or copy the unit link to share with students.
1

Functions & Equations

Conics, polynomials, sequences & matrices
Unit 1

Conic Sections

Pre-Calculus · Conic Sections
9 lessons · 9 worksheets
Introduction to Conic Sections & Parabolas
Unit 1 · Lesson 1
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Parabolas — Standard Form & Key Features
Unit 1 · Lesson 2
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Writing the Equation of a Parabola
Unit 1 · Lesson 3
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Conic Sections — Circles
Unit 1 · Lesson 4
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Ellipses — Standard Form & Key Parts
Unit 1 · Lesson 5
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Ellipses — Standard Form & Graphing
Unit 1 · Lesson 6
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Ellipses — Equations, Graphs & Foci
Unit 1 · Lesson 7
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Hyperbolas — Graphing & Analyzing
Unit 1 · Lesson 8
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Converting Conics to Standard Form
Unit 1 · Lesson 9
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Unit 2

Polynomial & Rational Functions

Pre-Calculus · Polynomial & Rational Functions
10 lessons · 10 worksheets
Solving Quadratic Equations
Unit 2 · Lesson 1
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Remainder Theorem & Factor Theorem
Unit 2 · Lesson 2
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Rational Exponents & Radical Expressions
Unit 2 · Lesson 3
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Simplifying Radical Expressions
Unit 2 · Lesson 4
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Solving Radical Equations
Unit 2 · Lesson 5
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Simplifying Rational Expressions
Unit 2 · Lesson 6
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Adding & Subtracting Rational Expressions
Unit 2 · Lesson 7
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Multiplying & Dividing Rational Expressions
Unit 2 · Lesson 8
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Domain of Rational Functions
Unit 2 · Lesson 9
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Asymptotes of Rational Functions
Unit 2 · Lesson 10
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Unit 3

Sequences & Series

Pre-Calculus · Sequences, Series & Counting
7 lessons · 7 worksheets
Sequences & Factorial Notation
Unit 3 · Lesson 1
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Arithmetic Sequences
Unit 3 · Lesson 2
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Geometric Sequences
Unit 3 · Lesson 3
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Summation & Sigma Notation
Unit 3 · Lesson 4
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Mathematical Induction
Unit 3 · Lesson 5
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Binomial Theorem & Pascal's Triangle
Unit 3 · Lesson 6
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Combinations
Unit 3 · Lesson 7
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Unit 4

Systems & Matrices

Pre-Calculus · Systems & Matrices
7 lessons · 7 worksheets
Systems of Linear Inequalities
Unit 4 · Lesson 2
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Matrices — Elementary Row Operations
Unit 4 · Lesson 3
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Matrix Multiplication
Unit 4 · Lesson 4
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Determinants of 2×2 & 3×3 Matrices
Unit 4 · Lesson 5
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Determinants — Advanced
Unit 4 · Lesson 6
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Finding the Inverse of a 2×2 Matrix
Unit 4 · Lesson 7
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Cramer's Rule
Unit 4 · Lesson 8
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2

Trigonometry

Unit circle, graphing, identities & laws
Unit 1

Unit Circle & Trig Basics

Pre-Calculus · Trigonometry Basics
6 lessons · 6 worksheets
Angles & Radian Measure
Unit 1 · Lesson 1
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The Six Trig Ratios (SOH CAH TOA)
Unit 1 · Lesson 2
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The Unit Circle & Special Right Triangles
Unit 1 · Lesson 3
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Right Triangle Trig — Rationalizing Fractions
Unit 1 · Lesson 4
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Solving Right Triangles (SOH CAH TOA)
Unit 1 · Lesson 5
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Trigonometry Word Problems
Unit 1 · Lesson 6
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Unit 2

Graphing Trig Functions

Pre-Calculus · Graphing Trig Functions
2 lessons · 2 worksheets
Graphing Sine & Cosine Functions
Unit 2 · Lesson 1
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Graphing Cosecant & Secant Functions
Unit 2 · Lesson 2
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Unit 3

Trig Identities & Laws

Pre-Calculus · Trig Identities & Laws
7 lessons · 7 worksheets
Simplifying Trig Expressions
Unit 3 · Lesson 1
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Proving Trigonometric Identities
Unit 3 · Lesson 2
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Sum & Difference Formulas
Unit 3 · Lesson 3
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Solving Trig Equations
Unit 3 · Lesson 4
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Solving Trig Equations — Pythagorean Identities
Unit 3 · Lesson 5
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Law of Sines
Unit 3 · Lesson 6
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Law of Cosines
Unit 3 · Lesson 7
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Unit 4

Complex Numbers & Vectors

Pre-Calculus · Complex Numbers & Vectors
6 lessons · 6 worksheets
Operations with Complex Numbers
Unit 4 · Lesson 1
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Absolute Value & Trig Form of Complex Numbers
Unit 4 · Lesson 2
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Multiplying & Dividing Complex Numbers in Trig Form
Unit 4 · Lesson 3
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De Moivre's Theorem
Unit 4 · Lesson 4
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Vectors — Components, Magnitude & Unit Vectors
Unit 4 · Lesson 5
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Vectors — Dot Product
Unit 4 · Lesson 6
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Tap any unit to open its lessons here. Hit ▶ to preview in class, tap 🔗 Copy link to share a direct student link, or View/Download the paired worksheet.
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Free teaching pack · in build

Pre-Calculus teachers: your Quarter 1 test kit is in the works.

Grade 9's is already live, so you can see exactly what you would be getting: a summative test, its Table of Specifications, and an item-analysis workbook that does the difficulty and discrimination for you. Tell me where to send yours and it arrives the day it is done.

  • 40-item summative test
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All Pre-Calculus Worksheets54 free worksheets

Browse every worksheet for Pre-Calculus as a full page — each with a worked video lesson in English & Filipino, a printable PDF, and an answer key. (The video and download buttons above still work exactly as before.)

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Every worksheet on this page is free because good teaching should not depend on a budget. So is the studio I teach from. Numberbender Studio turns any laptop into a broadcast classroom — your camera beside your slides, your iPad as a live whiteboard, vertical lessons for the phones your students already hold.

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