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

Visit our Home page to explore more topics.
Follow our Facebook Page and answer exercises every day.
Follow us on Twitter at @sipnayanph
Subscribe to the Sipnayan Youtube Channel to watch new videos

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

Continue reading

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

Continue reading

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

Continue reading

RND01 Introduction to Rounding Numbers

In this video, we are going to learn about rounding numbers to a nearest place value. Rounding numbers is used for approximation particularly large and small numbers or quantities. Watch the Tagalog math tutorial video above and then answer the exercises below. The complete video playlist of the Sipnayan tutorials on Rounding numbers can be found here.

Practice Exercise

Round the following numbers.

1.) 85 to the nearest ten

2.) 122 to the nearest ten

3.) 234 to the nearest hundred

4.) 482 to the nearest hundred

5.) 1321 to the nearest thousand

Answers

1.) 90

2.) 120

3.) 200

4.) 500

5.) 1000

Follow us:

REX03 Ruling Out the Values of the Variable

In the previous video, we have learned how to evaluate rational expressions. In this video, we are going to learn how to rule out the values of the variable in rational expressions. This concept is important because it is connected to the domain of rational functions  Watch the Tagalog math tutorial video above and then answer the exercises below. The complete video playlist of the Sipnayan tutorials on Rational Expressions can be found here.

Practice Exercise

Rule out the values of the variable of the following rational expressions.

1.) \dfrac{x + 4}{x}

2.) \dfrac{2x - 1}{x + 2}.

3.) \dfrac{x^2 - 1}{2x + 5}.

4.) \dfrac{x^2 + 2x}{x^2 - 9}.

5.) \dfrac{x - 9}{x^2 - 5x + 4}.

Answers

1. x \neq 0

2. x \neq -2

3. x \neq -\frac{5}{2}

4. x \neq 3, x \neq -3

5. x \neq 1, x \neq 4

Follow us:

PEMDAS and Order of Operations Part 3

This is the third part of our series on PEMDAS; you can watch the first video here and the second video here.  In this video, we continue our discussion on how to operate integers using the PEMDAS rule. Watch the Taglish math tutorial video above and then answer the following Practice Exercises.

Practice Exercises

1.) 9 + 5 \times 3 -  6

2.)4^2  + (15 - 4^2) \times (-3)

3.) 17 - (2 + 3)^2

4.) -20 + 4 \times (- 6)^2

5.) 2 (11^2  - 5^3)^2 - 12

Answers to Exercises

1.) 18

2.) 19

3.)-8

4.) 124

5.) 20

PEMDAS and Order of Operations Part 1

After learning about addition, subtraction, multiplication, and division of integers, we now begin learning about combining these operations.  In this video, we will the proper order of operations. The proper order of operations is usually refered to by many as PEMDAS (parenthesis, exponent, multiplication, division, addition, and subtraction). Watch the Taglish math tutorial video above and then answer the following Practice Exercises.

Practice Exercises

1.) 7 × 3 + 4

2.)7 × (3 + 4)

3.) 6 + 18 ÷ (- 3)

4.) 4 × 3 – 2 + 1

5.) 8 – 6  × 3

Answers to Exercises

1.) 25

2.) 49

3.) 0

4.) 11

5.) -10

How to Multiply Integers Part 3

This is the third and the last part of our series on Multiplication of Integers (see first and second parts). In this video, we discuss more examples on how to multiply integers.

Watch the Taglish math tutorial video above and then answer the Practice Exercises below.

Practice Exercises:

1.) – 4 × 3  × (- 2) × 1

2.) (- 4) (- 1)(-8)

3.) (-1)(9)(-3) (-1)

4.)(-2)(-3)(1) (-5)(-1)

5.)(-7)(2)(1) (-2)(6)

Answers to Exercises

1.) 24

2.) -32

3.) -27

4.) 30

5.) 168

How to Multiply Integers Part 2

After learning the basics of multiplication of integers, we continue learning by discussing more examples in this video.  Here, we apply the rules we have learned in the previous tutorial in multiplying more than two integers.

Watch the Taglish math tutorial video above and then answer the Practice Exercises below.

Practice Exercises: Convert the following subtraction expressions to an addition expression and then find the answer.

1.) – 3 × 4

2.) (- 7) (- 2)(-3)

3.) (1)(12)(-1)

4.) (- 3) × 3 × (-3)

5.) (- 4) × 2 × (-6) × 2

Answers to Exercises

1.) -12

2.) -42

3.) -12

4.) 27

5.) 96

How to Add Integers Part 3

In Part 1 and Part 2 of this series, we learned how to use the number line and positive and negative chips to add integers. In this video, we will learn how to add integers where the given has more than two addends. Watch the video above and then answer the Practice Exercises.

Practice Exercises

1.) 8 + 2 + (-22)

2.) 15 + (-4) + (-3)

3.) – 14 + (- 5) + (-3)

4.) 12 + (-3) + (-9)

5.) -11 + 2 + (-6)

Answers to Exercises  Continue reading

How to Add Integers Part 2

In the previous video, we learned how to use the number line and positive and negative chips to add integers. In this video, we continue our discussion. We will have more worked examples on adding integers. Watch the video above and answer the practice exercises.

Practice Exercises

1.) 25 + (-10)

2.) – 60 + (-4)

3.) – 34 + 15

4.) 37 + 9

5.) – 45 + 0  Continue reading

How to Add Integers Part 1

In this video, we are going to use the number line to illustrate addition of integers. We are also going to represent the integers are positive and negative chips to illustrate addition.

Watch the video above and answer the Practice Exercises.

Practice Exercises

1.) 12 + (-5)

2.) -9 + (-4)

3.) -15 + 8

4.) 11 + 8

5.) 0 + (- 3)

6.) 6 + (-6)

Answers to Practice Exercises  Continue reading

MF1 Multiplication of Fractions (Proper and Improper)

After learning subtraction of fractions, we now proceed to multiplication of fractions, the easiest among the four fundamental operations. Watch the video above and learn how to multiply fractions. After watching, answer the exercises below.  Continue reading

SF5 Subtraction of Mixed Fractions Part 2 (Shortcut)

In SF4, we learned a shortcut method on subtracting fractions. In this video, we are going to learn the methods and strategies in subtracting fractions using the borrowing technique. Watch the video above and answer the exercises below.  Continue reading

GCD1 Understanding Common Divisors

In this video, we learn how the meaning of common divisors. We also learn some of the properties of divisors of numbers. After watching the video, answer the exercise below.  In the discussion, we will also learn about prime and composite numbers.

Practice 1: List the divisors of the following numbers.  Continue reading