# 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

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# 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

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# 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

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# 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.

# 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

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# 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.

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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

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# 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.

# Exercise on Addition of Similar Fractions

Here are some exercises on addition of similar fractions. Do your best before reading the solutions and answers below. You can download the printable version below.

Add the following fractions.

1.) $\dfrac {1}{5} + \dfrac {2}{5}$

2.) $\dfrac {3}{8} + \dfrac {1}{8}$

3.) $\dfrac {1}{7} + \dfrac {2}{7} + \dfrac {3}{7}$

4.) $\dfrac {5}{6} + \dfrac {1}{6}$

5.) $\dfrac {5}{12} + \dfrac {11}{12}$

6.) $\dfrac {7}{3} + \dfrac {2}{3}$

7.) $\dfrac {2}{15} + \dfrac {5}{15}$

8.) $\dfrac {2}{9} + \dfrac {3}{9} + \dfrac {1}{9}$

9.) $\dfrac {5}{6} + \dfrac {3}{6}$

10.) $4 \dfrac {1}{4} + 2 \dfrac {3}{4}$

Solutions/Answer key:

1.) $\dfrac {1}{5} + \dfrac {2}{5}$ $= \dfrac {3}{5}$

2.) $\dfrac {3}{8} + \dfrac {1}{8}$ $= \dfrac {4}{8} = \dfrac {1}{2}$

3.) $\dfrac {1}{7} + \dfrac {2}{7} + \dfrac {3}{7}$ $= \dfrac {6}{7}$

4.) $\dfrac {5}{6} + \dfrac {1}{6}$ $= \dfrac {6}{6} = 1$

5.) $\dfrac {5}{12} + \dfrac {11}{12}$ $= \dfrac {16}{12} = 1 \dfrac {4}{12} = 1 \dfrac {1}{4}$

6.) $\dfrac {7}{3} + \dfrac {2}{3}$ $= \dfrac {9}{3} = 3$

7.) $\dfrac {2}{15} + \dfrac {5}{15}$ $= \dfrac {7}{15}$

8.) $\dfrac {2}{9} + \dfrac {3}{9} + \dfrac {1}{9}$ $= \dfrac {6}{9} = \dfrac {2}{3}$

9.) $\dfrac {5}{6} + \dfrac {3}{6}$ $= \dfrac {8}{6} = 2 \dfrac {2}{6} = 2 \dfrac {1}{3}$

10.) $4 \dfrac {1}{4} + 2 \dfrac {3}{4}$ $= 6 \dfrac {3}{4}$

Exercise on Addition of Similar Fractions (81 downloads)