🇵🇭 Strengthened SHS · Pre-Calculus

Pre-Calculus

Pre-Calculus

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 lahat ng SHS students. Handa ka na ba? — Dr. E

1

Functions & Equations

Conics, polynomials, sequences & matrices
Unit 8

Conic Sections

Pre-Calculus · Conic Sections
9 lessons · 9 worksheets
Introduction to Conic Sections & Parabolas
Unit 8 · Lesson 1
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Parabolas — Standard Form & Key Features
Unit 8 · Lesson 2
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Writing the Equation of a Parabola
Unit 8 · Lesson 3
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Conic Sections — Circles
Unit 8 · Lesson 4
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Ellipses — Standard Form & Key Parts
Unit 8 · Lesson 5
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Ellipses — Standard Form & Graphing
Unit 8 · Lesson 6
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Ellipses — Equations, Graphs & Foci
Unit 8 · Lesson 7
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Hyperbolas — Graphing & Analyzing
Unit 8 · Lesson 8
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Converting Conics to Standard Form
Unit 8 · 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 10

Sequences & Series

Pre-Calculus · Sequences, Series & Counting
7 lessons · 7 worksheets
Sequences & Factorial Notation
Unit 10 · Lesson 1
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Arithmetic Sequences
Unit 10 · Lesson 2
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Geometric Sequences
Unit 10 · Lesson 3
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Summation & Sigma Notation
Unit 10 · Lesson 4
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Mathematical Induction
Unit 10 · Lesson 5
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Binomial Theorem & Pascal's Triangle
Unit 10 · Lesson 6
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Combinations
Unit 10 · Lesson 7
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Unit 9

Systems & Matrices

Pre-Calculus · Systems & Matrices
7 lessons · 7 worksheets
Systems of Linear Inequalities
Unit 9 · Lesson 2
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Matrices — Elementary Row Operations
Unit 9 · Lesson 3
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Matrix Multiplication
Unit 9 · Lesson 4
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Determinants of 2×2 & 3×3 Matrices
Unit 9 · Lesson 5
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Determinants — Advanced
Unit 9 · Lesson 6
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Finding the Inverse of a 2×2 Matrix
Unit 9 · Lesson 7
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Cramer's Rule
Unit 9 · Lesson 8
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2

Trigonometry

Unit circle, graphing, identities & laws
Unit 4

Unit Circle & Trig Basics

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

Graphing Trig Functions

Pre-Calculus · Graphing Trig Functions
2 lessons · 2 worksheets
Graphing Sine & Cosine Functions
Unit 5 · Lesson 1
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Graphing Cosecant & Secant Functions
Unit 5 · Lesson 2
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Unit 6

Trig Identities & Laws

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

Complex Numbers & Vectors

Pre-Calculus · Complex Numbers & Vectors
6 lessons · 6 worksheets
Operations with Complex Numbers
Unit 7 · Lesson 1
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Absolute Value & Trig Form of Complex Numbers
Unit 7 · Lesson 2
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Multiplying & Dividing Complex Numbers in Trig Form
Unit 7 · Lesson 3
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De Moivre's Theorem
Unit 7 · Lesson 4
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Vectors — Components, Magnitude & Unit Vectors
Unit 7 · Lesson 5
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Vectors — Dot Product
Unit 7 · Lesson 6
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