Math In Action: Mastering Through Practical Applications

Master fundamental math concepts with animated stories, real-world applications, quizzes and over 1000 practice problems

What you'll learn

Visualize mathematical concepts with storytelling as a catalyst to apply them in solving real-life problems.

Number System: Operations on natural numbers, whole numbers, integers, rationals, irrationals and real numbers.

Polynomial operations: Factor polynomials using techniques such as grouping, difference of squares, and sum and difference of cubes.

Generate linear equations in two variables and plot them on a coordinate plane.

Basic geometric terms and concepts: Points, lines, angles, plane figures and Euclidean Geometry.

Properties of parallel lines and transversals, including how to use these properties to find measures of angles.

Congruence: How to prove that two triangles are congruent, as well as how to use the properties of congruent triangles to solve problems.

Quadrilaterals: Different types of quadrilaterals, like squares, rectangles, parallelograms, and trapezoids, and how to use their properties to solve problems.

Circles: Theorems on circles and cyclic quadrilaterals about inscribed angles, central angles, equal chords, arcs, segments and sectors.

Heron's formula: Derive the area of a triangle given the lengths of its sides, and how to use this formula to find areas of different polygons.

Three-dimensional figures: Spheres, cones, cylinders, cubes, cuboids, and pyramids, and how to find their surface area and volume.

Data collection and organization: Collect, organize, and visualize data using tools such as bar graphs, histograms, and frequency polygons.

Measures of central tendency: Mean, median, and mode, and how to calculate and interpret these values.

Probability: Theoretical and Experimental Probability along with the law of large numbers and how to use probability to make predictions.

Requirements

You should be comfortable with arithmetic operations (addition, subtraction, multiplication, division)

Description

The real reason why students dislike math is because they think it's dull. They don't get excited about numbers the same way they get excited about history, science, or other subjects that are more relatable. This is precisely why this course teaches Math through stories, real-world applications, illustrations, and cutting-edge animation. Math in Action builds a solid foundation in math for exams like SAT, GMAT, CAT, GRE, ACT, Math Olympiads, and much more.We have over 130 lessons covering every basic concept of fundamentals of math. Every video in the course comes with a quiz to test your knowledge, and each section contains exercises (with detailed solutions!) to help you practice and understand the concepts better. Additionally, you'll find extra solved example problems at the end of each section.Math in Action is organized into the following sections:Number systemsPolynomialsCoordinate GeometryLinear equations in 2 variablesIntroduction to Euclid's GeometryLines and AnglesTrianglesQuadrilateralsAreas of Parallelograms and TrianglesCirclesConstructionsHeron's FormulaSurface areas and VolumesStatisticsProbabilityAND HERE'S WHAT YOU GET INSIDE EVERY SECTION:Videos: For each topic we teach, our storytellers and animators have weaved an exciting tale of someone who must put theory into practice to get themselves out of a sticky situation. Perhaps they’re building a space station, trapped in a dungeon, or tracking down a cyber criminal. Whatever the protagonist is faced with, you’ll learn alongside them and end each story smarter than when you started.Quizzes: When you feel confident about your understanding of a particular math topic, you can test your skills by completing a quiz. If you do well, awesome! If you need a little extra help, you can review the videos or ask for assistance in the Q&A section.Workbooks: Looking for additional practice to reinforce your understanding of the material? Once you've completed a section, you can review everything you've learned by completing the exercises and examples in the corresponding chapter workbook. These resources provide plenty of extra practice problems, making them an excellent way to solidify your knowledge of the concepts you've just learned.Please Note:  While students under the age of 18 are more than welcome to take advantage of this course, please note that only individuals who are 18 years old or older should make the purchase.YOU'LL ALSO GET:Lifetime access to Math in ActionFriendly support in the Q&A sectionUdemy Certificate of Completion available for download30-day money-back guarantee

Overview

Section 1: Introduction

Lecture 1 Edsplore's Animated Adventures: Learn via Storytelling & Real-World applications

Section 2: Number Systems

Lecture 2 Whole Numbers, Integers and the Number Line

Lecture 3 What are Rational Numbers?

Lecture 4 Converting Fractions to Decimal Numbers | Successive Magnification of decimals

Lecture 5 How to convert Terminating decimals into Fractions?

Lecture 6 How to convert Recurring decimals into Fractions?

Lecture 7 What are Irrational Numbers?

Lecture 8 How to plot Irrational Numbers on a number line?

Lecture 9 Laws of exponents: Product rule | Quotient rule

Lecture 10 Laws of exponents: Power of power rule

Lecture 11 Laws of exponents: Power of product rule

Lecture 12 Laws of exponents: Fractional exponent rule

Lecture 13 What are Real Numbers? How can we add subtract multiply & divide 2 real numbers?

Lecture 14 How to Rationalise the Denominator of a Real Number?

Lecture 15 Plotting Irrational Numbers using the Semi Circle Method

Section 3: Polynomials

Lecture 16 What Are Polynomials?

Lecture 17 Polynomial Equations and their Graphs

Lecture 18 What is the Zero of a Polynomial?

Lecture 19 How can we add, subtract and multiply two polynomials?

Lecture 20 Polynomial Long Division

Lecture 21 Remainder theorem and Factor theorem

Lecture 22 Quadratic Factorisation

Lecture 23 How to find the roots of a cubic polynomial?

Lecture 24 Difference of squares identity | a² – b² = (a + b)(a – b)

Lecture 25 Perfect squares identity | (a + b)² = a² + b² + 2ab

Lecture 26 Product of binomials identity | (x + a) (x + b) = x² + (a + b)x + ab

Lecture 27 Square of trinomials (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

Lecture 28 Cube of binomials identity | (a+b)³ = a³ + b³ + 3a²b + 3ab²

Lecture 29 Sum of Cubes identity | a³ + b³ = (a + b) (a² – ab + b²)

Lecture 30 Difference of Cubes identity | a³ - b³ = (a - b) (a² + ab + b²)

Lecture 31 Sum of 3 cubes identity | x³ + y³ + z³ - 3xyz = (x+y+z) (x²+y²+z²-xy-yz-xz)

Section 4: Coordinate Geometry

Lecture 32 What is the Cartesian system of coordinates?

Lecture 33 How to identify the coordinates of a point on the cartesian plane?

Lecture 34 How to plot points on a cartesian plane?

Section 5: Linear Equations in Two Variables

Lecture 35 What are linear equations in 2 variables?

Lecture 36 Equations of Lines parallel to the x-axis and y-axis

Lecture 37 Graph of a Linear Equation in 2 variables

Section 6: Introduction to Euclid's Geometry

Lecture 38 Introduction

Lecture 39 Euclid's Definitions

Lecture 40 What are Axioms and Postulates?

Lecture 41 Euclid's Postulates (1-4)

Lecture 42 Playfair's Axiom - Two distinct lines cannot have more than one point in common

Lecture 43 Proof by contradiction of Euclid's 5th postulate

Section 7: Lines and Angles

Lecture 44 What role do lines and angles play in our daily lives?

Lecture 45 Lines, Angles and a little bit of snooker!

Lecture 46 Linear pair postulate and vertically opposite angles

Lecture 47 What happens when a transversal intersects 2 parallel lines? The story of Eratos

Lecture 48 Alternate interior angles theorem

Lecture 49 Alternate exterior angles theorem

Lecture 50 Converse of alternate interior angles theorem

Lecture 51 Converse of alternate exterior angles theorem

Lecture 52 Stuck in space with the Co-interior angles theorem

Lecture 53 Why do vampires hate the Co-exterior angles theorem?

Lecture 54 Cast your spell carefully: Converse of Co-interior Angles theorem

Lecture 55 Votes, democracy and the Converse of Co-exterior Angles theorem

Lecture 56 Welcome to the space race: Transitivity of parallel lines

Section 8: Triangles

Lecture 57 What are triangles and why do we love them?

Lecture 58 Angle sum property of triangles | Exterior angle property

Lecture 59 What is congruence and why do we care?

Lecture 60 ASA Congruence Criterion

Lecture 61 AAS Congruence Criterion

Lecture 62 SSS Congruence Criterion

Lecture 63 RHS Congruence Criterion

Lecture 64 Isosceles Triangle Property

Lecture 65 Converse of Isosceles Triangle Property

Lecture 66 Longer side inequality theorem

Lecture 67 Converse of the Longer side inequality theorem

Lecture 68 Triangle inequality theorem

Section 9: Quadrilaterals

Lecture 69 What are Quadrilaterals and why do we care?

Lecture 70 What are the conditions for a quadrilateral to be a parallelogram?

Lecture 71 A diagonal of a parallelogram divides it into two congruent triangles

Lecture 72 If each pair of opposite sides of a quadrilateral is equal, then it is a ||gram

Lecture 73 In a parallelogram, opposite angles are equal

Lecture 74 If in a quadrilateral, each pair of opposite angles is equal then it is a ||gram

Lecture 75 The diagonals of a parallelogram always bisect each other

Lecture 76 If the diagonals of a quadrilateral bisect each other then it is a parallelogram

Lecture 77 A quadrilateral is a parallelogram if a pair of opposite sides is equal and ||

Lecture 78 The line joining the midpoints of 2 sides of a triangle is || to the 3rd side

Lecture 79 Converse of mid-point theorem of a triangle

Section 10: Areas of Parallelograms and Triangles

Lecture 80 Finding the areas of parallelograms and triangles

Lecture 81 Figures on the Same Base and Between the Same Parallels

Lecture 82 ||grams standing on the same base & lying between the same ||els have equal area

Lecture 83 Triangles sharing the same base and lying between the same ||s have equal area

Lecture 84 Triangles having the same base & equal areas lie between the same parallels

Section 11: Circles

Lecture 85 So What Exactly Is a Circle?

Lecture 86 Anatomy of a circle: Chords, Perpendiculars & Central angles

Lecture 87 Equal chords of a circle subtend equal angles at its center

Lecture 88 Chords that subtend equal angles at the center are also equal in length

Lecture 89 Perpendicular drawn from the center of a circle to any of its chords splits it i

Lecture 90 Line drawn through the center of a circle to bisect a chord is perpendicular to

Lecture 91 Chords that are equal in length are also equidistant from the center

Lecture 92 Chords that are equidistant from the center are also equal in length

Lecture 93 There is one and only one circle passing through 3 given non-collinear points

Lecture 94 What are inscribed angles and why do we care?

Lecture 95 Relationship between central angles and inscribed angles

Lecture 96 Angles subtended by a chord in the same segment are always equal to each other

Lecture 97 Converse of Angles in the same segment of a circle are equal

Lecture 98 Cyclic Quadrilaterals: The Good, Bad and Ugly

Lecture 99 The sum of either pair of opposite angles of cyclic quadrilateral is 180°

Lecture 100 If the sum of opposite angles of a quadrilateral = 180° then it is cyclic

Section 12: Constructions

Lecture 101 Geometric constructions 101

Lecture 102 How to construct the Perpendicular bisector of a given line?

Lecture 103 How to construct the angle bisector of a given angle?

Lecture 104 Constructing angles worth 30°, 45°, 60°, 90° and 120°

Lecture 105 What are unique triangles and how do we construct them?

Lecture 106 How to construct a triangle given its base, a base angle and sum of other two si

Lecture 107 How to construct a triangle given its base, a base angle and difference of other

Lecture 108 How to construct a triangle given its perimeter and its two base angles?

Lecture 109 Bonus: B for base, A for angle and SU for sum | New congruence criteria

Lecture 110 Bonus: B for base, A for angle and DF for difference | New congruence criteria

Lecture 111 Bonus: A for angle, A for angle and P for perimeter | New congruence criteria

Section 13: Heron's Formula

Lecture 112 Thor's Race Against Time | Heron's Formula

Lecture 113 The Bermuda Triangle: Can Heron’s Formula Unlock Its Secrets?

Section 14: Surface Areas and Volumes

Lecture 114 Types of 3D solids: Prisms, Pyramids & Spheres

Lecture 115 What exactly is the surface area of an object?

Lecture 116 Surface area of Cubes and Cuboids

Lecture 117 Surface area of a Cylinder

Lecture 118 Surface area of a Cone

Lecture 119 Surface area of Spheres & Hemispheres

Lecture 120 Introducing Volumes: The 'Eureka' story

Lecture 121 Volume of Cubes and Cuboids

Lecture 122 Volume of a Cylinder

Lecture 123 The Nargle Chase | Volume of a Cone

Lecture 124 The Zombie Apocalypse | Volume of a Sphere and a Hemisphere

Section 15: Statistics

Lecture 125 What is Statistics and why do we care?

Lecture 126 Types of data: Primary vs Secondary

Lecture 127 Understanding Range and Raw data

Lecture 128 What are Tally Marks?

Lecture 129 How to construct a Grouped Frequency Distribution?

Lecture 130 Seeing Data: What is Data Visualisation?

Lecture 131 What is a Bar Graph?

Lecture 132 What is a Histogram?

Lecture 133 What is a Frequency Polygon?

Lecture 134 Mean, Median, and Mode: Measures of Central Tendency

Section 16: Probability

Lecture 135 The Monty Hall Problem | Introduction to Probability

Lecture 136 Up close with Experimental Probability

Current high school or students about to start high school who are looking for a headstart.,Homeschool students looking for extra support with the math fundamentals.,Students who wish to revise what they have learned & are curious about what comes after school mathematics.,While students under the age of 18 are more than welcome to take advantage of this course, please note that only individuals who are 18 years old or older should make the purchase.,Employees in industry, IT, finance, economy & other companies who want to understand the relevant mathematical background,University students in programming, IT, engineering and science (physics, chemistry, pharmacy, …) who want to learn or repeat the mathematical concepts required for their field of study,Build a solid foundation in math for exams like SAT, GMAT, CAT, GRE, ACT, GED, Math Olympiads, and much more.