Below is the series on **Number Sequence Tutorial**. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Lesson 1: ASEQ01 Introduction to Number Sequence

Lesson 2: ASEQ02 Introduction to Arithmetic Sequence

Lesson 3: ASEQ03 Arithmetic Sequence Sample Problem (Finding the nth Term)

Lesson 4: ASEQ04 Arithmetic Sequence Sample Problems (Finding the nth Term)

Lesson 5: ASEQ05 Arithmetic Sequence Sample Problem (Finding the First Term)

Lesson 6: ASEQ06 Arithmetic Sequence Sample Problem (Finding the Common Difference)

Lesson 7: ASEQ07 Arithmetic Sequence Sample Problem (Finding the Number of Terms)

Lesson 8: ASEQ08 Arithmetic Mean of Two Numbers

Lesson 9: ASEQ09 Inserting Arithmetic Means in Arithmetic Sequence

Lesson 10: ASEQ10 Arithmetic Sequence Sample Problem (2 Equations in 2 Unknowns)

Lesson 11: ASEQ11 Sum of Arithmetic Sequence: Gauss’ Trick

Lesson 12: ASEQ12 Derivation of the Formula for the Sum of Arithmetic Sequence

Lesson 13: ASEQ13 Sum of the Arithmetic Sequence: Sample Problems

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# Author Archives: sipnayan

# Slope Tutorial

Below is the series on **Slope Tutorial**. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

SLOPE01 Definition of Slope and the Slope Formula

SLOPE02 Finding the Slope of a Line

SLOPE03 Positive and Negative Slopes of a Line

SLOPE04 Zero and Undefined Slopes

SLOPE07 How to Find the Slope of a Line from the Equation Part 1

SLOPE08 How to Find the Slope of a Line from the Equation Part 2

You might also want to learn about **Calculus** click here:

Calculus Series – Part I

Calculus Series – Part II

Calculus Series – Part III

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# How to Find Square Root

Below is the series on **Finding Square Root**. Here we will learn how to find square root of any number without a calculator. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

SQRT1: How to Find the Square Root of Any Number without a Calculator 1

SQRT2: How to Find the Square Root of Any Number without a Calculator 2

SQRT3: How to Find the Square Root of Any Number without a Calculator 3

You might also want to learn **How to Solve Clock Word Problems**

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# Calculus Series – Part III

Below is the series on **Calculus** – Part III. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Lesson 93: Calculus 3.00 Introduction to Chapter 3

Lesson 94: Calculus 3.01 Formulas for Finding the Derivative of Trigonometric Functions

Lesson 95: Calculus 3.02 Derivative of Trigonometric Functions – Worked Examples 1

Lesson 96: Calculus 3.03 Derivative of Trigonometric Functions – Worked Examples 2

Lesson 97: Calculus 3.04 Derivative of Trigonometric Functions – Worked Examples 3

Lesson 98: Calculus 3.07 Introduction to Chain Rule

Lesson 99: Calculus 3.08 Chain Rule – Worked Examples 1

Lesson 100: Calculus 3.09 Chain Rule – Worked Examples 2

Lesson 101: Calculus 3.10 Chain Rule – Worked Examples 4 (Negative Exponents and Radicals)

Lesson 102: Calculus 3.11 Chain Rule – ‘Derivation’ of The General Power Rule

# Calculus Series – Part II

Below is the series on **Calculus** – Part II. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Lesson 51: Calculus 1.50 Definition of Continuity of a Function at a Number

Lesson 52: Calculus 1.51 Understanding the Definition of Continuity

Lesson 53: Calculus 1.52 Continuity at a Point Sample Problem 1 (Removable Discontinuity)

Lesson 54: Calculus 1.53 Sample Problem on Continuity Part 2 (Infinite Discontinuity)

Lesson 55: Calculus 1.54 Sample Problem on Continuity Part 3

Lesson 56: Calculus 1.55 Sample Problem on Continuity Part 4

Lesson 57: Calculus 1.56 Continuous and Discontinuous Functions – Summary

Lesson 58: Calculus 2.00 The Concept and Definition of Derivative

Lesson 59: Calculus 2.01 Finding the Slope of a Line Tangent to a Curve at Any Point

Lesson 60: Calculus 2.02 Finding the Slope of a Line Tangent to a Curve at a Particular Point

# Calculus Series – Part I

Below is the series on **Calculus – Part I**. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Lesson 1: Calculus 1.00 Overview of the Calculus Video Series

Lesson 2: Calculus 1.01 The Origins of Calculus

Lesson 3: Calculus 1.02 The Tangent Problem

Lesson 4: Calculus 1.03 The Area Problem

Lesson 5: Calculus 1.04 Finding the Slope of a Tangent Line Part 1

Lesson 6: Calculus 1.05 Finding the Slope of a Tangent Line Part 2

Lesson 7: Calculus 1.06 Finding the Slope of a Tangent Line Part 3

Lesson 8: Calculus 1.07 Finding the Slope of a Tangent Line Part 4

Lesson 9:: Calculus 1.08 Summary of the Tangent Problem

Lesson 10: Calculus 1.09 Another Notation for Slope of a Tangent Line

# Logic Series

Below is the series on **Logic**.Here we will learn about Operators such as “and”, “not”, and “or”, writing Truth Tables, Simple and Compound Propositions, and many more. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Lesson 1: LG01 Basic Logic: Introduction to Propositions and Truth Values

Lesson 2: LG02 Simple and Compound Propositions

Lesson 3: LG03 Negation of a Proposition with the Not Connective

Lesson 4: LG04 The AND Operator and its Truth Table

Lesson 5: LG05 The OR Operator and its Truth Table

Lesson 6: LG06 Summary of the NOT, AND, and OR Operators

Lesson 7: LG07 Writing Truth Tables for Compound Statements Part 1 (NOT, OR, AND)

Lesson 8: LG08 Writing Truth Tables for Compound Statements Part 2 (NOT, OR, AND)

Lesson 9: LG09 Writing Truth Tables for Compound Statements Part 3 (NOT, OR, AND)

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# Inscribe Angle Theorem

Below are the tutorials on **Inscribe Angle Theorem**. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Lesson 1: INSA1 Introduction to the Inscribed Angle Theorem Series

Lesson 2: INSA2 Inscribed and Central Angles Intercepting the Same Arc

Lesson 3: INSA3 Proof of the Inscribed Angle Theorem (Case 1)

Lesson 4: INSA4 Proof of the Inscribed Angle Theorem (Case 2)

Lesson 5: INSA5 Proof of the Inscribed Angle Theorem (Case 3)

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# How to Solve Clock Word Problems

Below are the tutorials on **How to Solve Clock Word Problems**. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Lesson 1: CLK01 Introduction to the Clock Problems Tutorial Series

Lesson 2: CLK02 Clock Problems: Formula for the Amount of Rotation of the Hour Hand

Lesson 3: CLK03 Clock Problems: DERIVATION of the Amount of Rotation of the Hour Hand Given the Time

Lesson 4: CLK04 Derivation of the Formula for the Amount of Rotation of the Minute Hand

Lesson 5: CLK05 Derivation of the Formula for Calculating the Angle Between the Hands of the Clock

Lesson 6: CLK06 Applying the Clock Angle Problem Formulas

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# Precalculus Tutorials for Senior High School and College Students

Below are the tutorials on **Precalculus Tutorials for Senior High School and College Students**. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Lesson 1.00: Introduction to Precalculus for Senior High School

Lesson 1.01: A Brief Review of the Cartesian Plane

Lesson 1.02: The Conic Sections – Circle, Ellipse, Parabola, Hyperbola

Lesson 1.03: Equation of a Circle with Center at the Origin – Practice Exercises

Lesson 1.04: Equation of a Circle with Center (h,k)

Lesson 1.05: Equation of a Circle with Center at the Origin and Radius

Lesson 1.06: Writing the Equation of a Circle with Center (h,k) and the Radius

Lesson 1.07: Finding the Center and Radius of a Circle Given its Equation

Lesson 1.08: Standard and General Forms of the Equation of a Circle

Lesson 1.09: Converting Equations of a Circle From Standard Form to General

Form

# Latex Tutorial Documents

The text below is needed for Tutorial 2.02 (will be posted tomorrow) of the **Latex Tutorial series**. You can copy and paste the text below the *** or **download the word file**.

***

Part I. True or False

Write T if the Statement is True and F if the statement is False.

pi is equal to 22/7

For all real number b, b raised to 0 equals 1.

The graph of the rational function g(x) = (x2-2)/(x-2) coincides with the graph of the identity function f(x) = x.

The lines with equations x + 2y = 3 and 2x – y = 1 are perpendicular to each other.

e raised to ln(x-3) =x -3 for any x in N.

Part III. Word Problems

The ratio of two numbers 1:3. Their difference is 36. What is the larger number?

Jamie has 18 bills in her wallet worth 20 pesos and 50 pesos. If the bills totaled to 660 pesos, how many 20-peso and 50-peso are there?

A car leaves City A and travels towards City B at an average speed of 60 kilometers per hour. At the same time, another car leaves City B and travels towards city A at an average speed of 70 kilometers per hour. If the two cars use the same route, and if the distance between two cities is 520 kilometers, how many hours before they meet?

# Operations on Polynomial Expressions

Below are the tutorials on **Operations on Polynomial Expressions**. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

PE01 Introduction to Polynomial Expressions

PE02 Like Terms and Unlike Terms

PE03 Addition of Polynomial Expressions Part 1

PE04 Addition of Polynomial Expressions Part 2

PE05 Addition of Polynomial Expressions Part 3

PE06 Subtraction of Polynomial Expressions Part 1

PE07 Subtraction of Polynomial Expressions Part 2

PE08 Multiplication of Polynomial Expressions Part 1

PE09 Multiplication of Polynomial Expressions Part 2

PE10 Multiplication of Polynomial Expressions Part 3

PE11 Multiplication of Polynomial Expressions Part 4

PE12 Division of Polynomial Expressions Part 1

PE13 Division of Polynomial Expressions Part 2

PE14 Division of Polynomial Expressions Part 3

PE15 Division of Polynomial Expressions Part 4

PE16 Division of Polynomial Expressions Part 5

PE17 Division of Polynomial Expressions Part 6

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# Set Tutorial Series

Below are the tutorials on Sets. All links point videos on the **Sipnayan Youtube channel**. The link to the complete Playlist can be found **here**.

Part 1: Introduction to Sets

Part 2: Roster Method and Set Builder Notation

Part 3: The Cardinality of Sets

Part 4: Summary 1: Sets, Notation, Cardinality

Part 5: The Universal Set

Part 6: Representing Sets with Venn Diagrams

Part 7: Subsets and Proper Subsets

Part 8: Equal and Equivalent Sets

Part 9: One-to-One Correspondence

Part 10: Union of Sets

Part 11: Intersection of Sets

Part 12: Union and Intersection of Sets (Practice Exercise)

Part 13: Difference Between Sets

Part 14: Complement of a Set

Follow us:

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# Interpret the Following Pictograms Part 3

Interpret the following pictograms. Watch the video if you want to know the answers.

# Interpret the Following Pictograms (Part 2)

Here’s another pictogram just like the previous post. Enjoy and keep safe.

Here’s the answer and explanation.

# Interpret the Following (with answers)

Here’s a pictogram puzzle. This is not math, but it can come handy during this quarantine period.

Interpret the following pictograms.

The answers are explained in the video below.