Complete List of Post in High School Mathematics Category

- The Three Meanings of Similarity
- GeoGebra for iPhones is now online
- Introduction to the DaMath Board Game Part 3
- 8 Gift Ideas for Math Enthusiasts, Math Teachers, and Mathematicians
- Introduction to the DaMath Board Game Part 1
- Guest Post: Calculating Trignometric Values
- Book of Proof: A Very Good Introductory Book to Mathematical Proofs
- Free Peer-Reviewed Math Ebooks from OpenStax
- Understanding Domain and Range Part 4
- Understanding Domain and Range Part 3
- Understanding Domain and Range Part 2
- Understanding Domain and Range Part 1
- Understanding Radian Measure
- Recognize Handwritten Equations with MyScript MathPad
- Understanding Point Symmetry
- Understanding Line Symmetry
- Book Review: The Humongous Book of Calculus Problems
- How to Change Number Bases Part 2
- The Algebra and Geometry of Square Root
- Closure Property and Imaginary Numbers
- Deriving the Formula of the Vertex of Quadratic Functions
- GIMPS Discovers The Largest Known Prime Number Yet
- 10 Basic Computations You can Do with Wolfram Alpha
- GeoGebra Graphing Calculator for Android now available
- Properties and Graph of Linear Functions
- The effect of adding b to the linear function y = ax + b
- Increasing and Decreasing a in the linear function y = ax
- The effect of the sign of the slope in y = ax
- Mathematical Tasks: Number of Solutions and Answers
- The Basics of Inverse Proportion
- The Basics of Direct Proportion
- Derivation of the Area of a Rhombus
- Proof Without Words: If x >0, x + 1/x >=2
- The Loop Game: Pool in Elliptical Table
- What is the horizontal line test?
- The Curve Sketching Series
- How to Add Integers Using the Number Line
- A Different Way to Perform Division
- The Lattice Multiplication Algorithm
- Lesson Study Book 2: Learning More Together
- How to Calculate Using Japanese Abacus Part 2
- MIT Open Courseware: Free Math Videos and Learning Materials
- A Closer Look at Coinciding Lines
- On Equations of Intersecting, Coinciding, and Parallel Lines
- How to Represent Inequalities in One Variable
- Understanding If-Then Statements
- Understanding the Basics of the De Morgan’s Laws
- Introduction to Negation and the NOT Operator
- The difference between AND and OR
- Why the Multiplication by 11 Trick Works
- Understanding the Concept of Inverse Functions
- Why the Area of a Rhombus is Half the Product of its Diagonals
- What exactly is the vertical line test?
- Free Precalculus Ebooks and Lecture Notes
- How to Use the Factorial Notation
- Solving Problems by Eliminating Impossible Cases
- How to Calculate Using Japanese Abacus Part 1
- An Explanation Why the Line Multiplication Trick Works
- The Geometric Representation of Greatest Common Factor
- Video Series: Introduction to Higher Mathematics
- The Explanation to the Infinite Chocolate Bar Trick
- 5 Cool Math Calculations You Can Do with Google Search
- How to Create Infinite Chocolate Bars
- Learning the Mathematics of History through Ngram Viewer
- Euclidean Algorithm Explained for Elementary School
- The Mathematics of Shuffled Cards
- The Honeybee and the Hexagon
- How Probability Can Be Used to Design Games of Chance
- Understanding Hilbert’s Grand Hotel Paradox
- Create Latex Documents with Lyx
- How to Use Latex on Facebook
- What Happens When We Reduce Fractions to Lowest Terms
- Sexy Primes: What Are They?
- Domain and Range on a Graphical Perspective
- Domain and Range 1: Basic Concepts
- Open Bank of Mathematical Problems
- The MATHCOUNTS Math Video Challenge
- Explore Solid Nets Apps and Print Models
- How Many Zeros Are There in n factorial
- 7 Funny Math Comic Sites You Will Love
- Misconception About Venn Diagrams
- Math Fun: How to Count in Japanese
- Math and Multimedia New Year Update
- Free Plane, Analytic, and Solid Geometry Ebooks
- Fun Geometry with PolygonFlux iPad App
- Introduction to Age Problems in School Mathematics
- 5 Misconceptions About Rational Numbers
- The Math Word Problem Series on Number Problems
- Solving Word Problems in Numbers using Algebra Part 3
- Solving Math Word Problems in Numbers Using Algebra Part 2
- Video Games—Helping Students Develop Their Mathematical Skills
- Angle Sum of Polygons in Tessellated Triangles
- Solving Math Word Problems in Numbers Using Algebra
- Solving Number Problems Using Model Method
- Number Word Problems 1 – How to Solve Number Problems Mentally
- Introduction to Math Word Problem Solving
- Back from a long break
- Fractions with Terminating Decimals
- Math Misconception: Incorrect Real Number System Diagram
- Fractions with Terminating and Non-Terminating Decimal Representations
- Aristotle’s Theory on the Mathematics of Rainbows
- Math Trick 4: A Shortcut on Multiplying Numbers by 13
- Free Statistics, Combinatorics, Probability Ebooks
- Some Funny Math Pictures to Make You Laugh
- How to Find the Center of a Circle and The Mathematics Behind
- The Mystery of the Four Consecutive Numbers in the Fibonacci Sequence
- Math Trick 3: The Answer is Always 1089
- A Short Tutorial on How to Use An Abacus
- The 3 Ancient Construction Problems
- Paper Folding: How to Construct an Equiangular Triangle
- Calculating The Value of Pi
- Semiregular Tessellations: Adventurous Ideas for Floor Tiling
- Math Trick 2: Multiplying 2 Digit Numbers by 11
- SSS Congruence Theorem and Its Proof
- A Practical Demonstration of the Pythagorean Theorem
- Math Trick 1: Squaring Numbers Ending in 5
- 10 Math Problems That Look Easy But Immensely Difficult to Solve
- A Detailed Derivation of the Heron’s Formula
- Appreciating The Beauty of Circles and Spheres
- Romantic Mathematics: Cheesy, Corny, and Geeky Love Quotes
- 5 Fascinating Facts About Triangles That Will Surprise You
- What are prime gaps and who is Yitang Zhang?
- 7 Amazing Facts About Pascal’s Triangle
- The Reflective Beauty of Palindromes
- Basket Building: Mathematical Similarity at Its Finest
- Irrational Lengths and The Root Spiral
- The Golden Ratio and the Perfect Human Face
- Ratio, Proportion, and YouTube Embedding
- Angles and the Hindu-Arabic Numerals
- Math Puzzle: Where is the Missing Area?
- Gambling Mathematics: Why Will The Casino Win in the Long Run
- Large Roman Numerals From 1000 to 499 Million
- Convert Large Numbers To Roman Numerals
- Multiplication Fun with Wings iPad App
- The Mystery and Mystique of Magic Squares
- Latitudes, Longitudes and the Polar Coordinate System
- 7 Hilarious Jokes About Mathematicians
- Illegal, Unlucky, and Forbidden Numbers
- What If We Have 12 Fingers?
- Math Book: The Magic of Pineapples
- How to Create Regular Star Polygons
- Guest Post: Derivatives and an Introduction To Calculus
- The Mathematical Reason Why Manholes are Round
- The 0.0001 Time Rate Approach
- The Search for Symmetric Words
- The Uses of Large Numbers
- The Beauty of Mirrors and Symmetry
- 4 Types of Composite Numbers You Probably Have Not Heard Of
- Mathematics: The Science of Patterns
- Lines, Planes, and Perspective
- Math and Other Multimedia Materials at HippoCampus
- The Geometry of the Least Common Denominator
- Happy Pi Day 2013
- 13 Calculus Tutorial Sites, 22 000+ Solved Problems
- A Closer Look at the Meaning of Dimensions
- Where does the Metric System come from?
- 400 Challenging Programming Problems in School Mathematics
- Mersenne Primes Under the Microscope
- 62 Interactive Math Activities and Games at Flashmath
- Finding the Sum of the Arithmetic Sequence
- Real World Math with Google Earth
- 2250 Interactive K-12 Mathematics Problems with Solutions
- Curve Sketching 4: Identifying Oblique Asymptotes
- 14 Useful Sites on Paper Folding Instructions and Origami Tutorials
- Curve Sketching 3: Understanding Vertical and Horizontal Asymptotes
- Curve Sketching 2: Graphing Quadratic Functions
- Graph Sketching I: 4 Easy Ways to Graph a Linear Function
- Video: Japanese Multiplication Algorithm
- Book Review: Calc for the Clueless I
- The Polynomials that Generate Prime Numbers
- An Easy Way To Learn The Basic Trigonometric Identities
- The Cycloid and the Pendulum Clock
- Are all fractions rational numbers?
- The Trigonometric Ratio Hexagon
- 6 Awesome Sites for Learning Number Properties
- iPad App for Students: King of Math
- December 2012 – The Most Popular Posts
- Book Review: How to Prove It
- 4 Common Errors in Calculating Expressions with Exponents
- Introduction to Geometric Construction
- 15 Flash Video Tutorials for Learning Winplot
- Properties of Addition and Multiplication of Real Numbers
- Understanding If Then Statements and Counterexamples
- 1300 Free K-12 Mathematics Lesson Plans and Activities
- Math Word Problems: Solving Motion Problems Part 3
- Why The Addition Number Trick Works
- Math Word Problems: Solving Motion Problems Part 2
- Understanding the Meaning of Correspondence
- Book Review: The Story of Mathematics
- A Calculus Primer Part 3
- A Calculus Primer Part 2
- Motion and Graphs: A Calculus Primer
- Math Word Problems: Solving Motion Problems Part 1
- The Composite Number Tree
- Calculating the Area Under a Curve: An Intuitive Introduction
- Math Word Problems: Solving Age Problems Part 3
- 1500+ Mathematics Video Lectures
- Mathematics and Multimedia turns 3
- Math Word Problems: Solving Age Problems Part 2
- Math Word Problems: Solving Age Problems Part 1
- Math Word Problems: Solving Number Problems Part 4
- Math Word Problems: Solving Number Problems Part 3
- Math Word Problems: Solving Number Problems Part 2
- The Mathematics Tutorial Series
- Guest Post: Why Study Algebra
- TED Videos and Ideas Worth Spreading
- Math Word Problems: Solving Number Problems Part 1
- Understanding Decreasing and Increasing Functions
- The Mathematics Word Problem Solving Series
- Guest Post: An Interesting Property of Prime Numbers
- The Clock Arithmetic and Modular Systems Series
- PEMDAS and the Common Errors in the Order of Operations
- Approximating Square Root of Numbers by Averaging
- Why are Non-terminating, Repeating Decimals Rational
- Understanding Sample Space and Sample Points
- Common Errors in MDAS Operations
- Finding the General Formula for the kth Polygonal Number
- Introduction to Number Bases
- Why Expressions with Negative Exponents Equal their Reciprocals
- Why is negative times negative equals positive?
- Proof without Words: Odds and Squares
- Design your Own Mandelbrot Set
- A Proof that the Vertex Angle Sum of a Pentagram is 180 degrees
- 7 Extraordinary Mathematicians You Should Know About
- Visualizing the Difference of Two Squares
- Triangular Numbers and the Sum of the First n Positive Integers
- Deceptive and Misleading Mathematical Patterns
- Why is the slope of a vertical line undefined?
- Mathematical Proofs Galore
- Prime or Not: Determining Primes Through Square Root
- Proof of the Sum of Square Numbers
- Counting the Number of Squares on a Chess Board
- Using Similarity to Prove the Pythagorean Theorem
- A Simple Proof of the Arithmetic Mean Geometric Mean Inequality
- The Proof of the Tangent Half-Angle Formula
- Another Proof of the Sum of the First n Positive Integers
- Wedding Guests and Circular Permutations
- Divisibility by 9
- Guest Post – Mega Millions Lottery Jackpot Winners Beat the Odds
- Counting the Number of Subsets in a Set
- A US President’s Proof of the Pythagorean Theorem
- Category: Math Lite
- 10 Tips in Studying School Mathematics
- The Mathematics of Leap Years Explained
- Math Teachers at Play 47
- Week in Review 1 – March 2012
- Divisibility by 8
- 3D Math Applets Galore at Maths.Net
- Divisibility by 7 and Its Proof
- New Archive Page, Language Translation, and more
- Using Paper Folding to Introduce the Notion of Proof
- Category: College Mathematics
- Using Area to Prove the Arithmetic-Geometric Mean Inequality
- Introduction to the Complex Plane
- Demystifying Complex Conjugates
- Lottery Math – If You Play You Should Know Your Odds
- Complex Numbers and their Properties
- MathBlogging.org: Your One Stop Shop to Mathematical Blogs
- What is i? What are imaginary numbers?
- Proof by Contradiction: Knights and Liars
- Sets: Terminologies, Notations, and Operations
- The Beauty of Narcissistic Numbers
- Probability Terminologies and Notations
- Proof that log 2 is an irrational number
- Diagonals of a Parallelogram
- The 12 Days of Christmaths and the Triangular Numbers
- Math Carnivals Christmas Edition
- Divisibility by 6
- The GeoGebra 4.0 Essentials Series and other updates
- Math, Santa, and Venn Diagrams
- Plot Functions with Google Search
- Want to promote your blog?
- Divisibility by 3
- Guest Post: Vedic Mathematics – Squaring Numbers 1
- Pi to 10 Trillion Digits
- Understanding the Multiplication Principle
- Introduction to Coordinate Geometry
- Linking sum of counting numbers to triangle area
- Divisibility by 4
- The Divisibility Rules Series
- OpenOffice Calc Tutorial 2: Basic Data Entry, Editing, and Computation
- Divisibility by 2
- Free Graphing and Grid Papers
- Jeepneys and Step Functions
- Mathematical Equations and Their Properties
- Ben Goldacre on Bad Statistics
- Math Curriculum Makeover
- Exploring Computational Thinking
- Pi and the Circle
- October 2011 Week 1 Post List
- Test Post (please ignore) – Facebook Feed has stopped working
- Is 0 a natural number?
- Properties of Similar Triangles Part 2
- Real Numbers: A Summary
- Undefined terms: What are they?
- Making Connection Between Distance and Absolute Value
- Understanding the Meaning of Discriminant
- The Complements Theorem
- The Kaprekar constant 6174
- Properties of Similar Triangles Part 1
- Guest Post: Vedic Mathematics – Nikhilam Method of Multiplication Part 2
- The Golden Ratio
- The mystery of 495 explained
- The mysterious number 495
- Paper Folding: The proof of the cube root applet
- Paper Folding: Extracting the cube root of a number
- The Handshake Problem and Its Multiple Solutions
- The Multiplication Parabola
- Guest Post: Vedic Mathematics 4 – Nikhilam Method of Multiplication
- Paper Folding: Locating the square root of a number on the number line
- The Marvels of the Nine-Point Circle
- Discovering properties of angles of parallelograms
- Guest Post: Vedic Mathematics 3 – Multiplication with a series of 9’s
- Order of Operations: 360 or 354?
- More examples of proof by contradiction
- Addition of Coordinates
- Irrational Numbers as Decimals
- The Experimental and Theoretical Probability Series
- Are you a good math teacher?
- Generating Pythagorean Triples from Square Numbers
- Guest Post: Vedic Mathematics 2 – Squaring Numbers Ending in 5
- Exploring the Universe with Worldwide Telescope
- 5000 free math, physics, and engineering video tutorials and lectures
- Experimental and Theoretical Probability 5
- The Top 10 iPod Touch Apps to Use in Math Class
- Regular Tessellations: Why only three of them?
- Simon’s Favorite Factoring Trick
- Platonic Solids: Why only five of them?
- Calculus 1 Video Lectures
- Reminder: Math and Multimedia is moving
- Intersections of Planes with Google Sketchup
- Guest Post: Introduction to Vedic Mathematics
- Experimental and Theoretical Probability Part 4
- Math Teachers at Play 38
- Conrad Wolfram: Teaching kids real math with computers
- Experimental and Theoretical Probability Part 3
- Experimental and Theoretical Probability Part 2
- Invitation to Join the Math Future Wiki
- Calculus Rhapsody
- Folding a Hyperbola
- Math Easter Egg
- Experimental and Theoretical Probability Part I
- An elementary proof of the cosine law
- Math Exercise, Problem, and Investigation
- Storytelling and Statistics at their finest
- Dynamic Statistics with Gapminder
- 12 year-old genius thinks he can disprove Einstein’s relativity
- GeoGebra Essentials 8 – Graphs and their Properties
- Building widgets with Wolfram Alpha
- Military drills and the closure property of real numbers
- Store and publish online for free with Issuu
- Equation of a line: The derivation of y = mx + b
- More than 20,000 mathematics contest problems and solutions
- The Commutativity of Real Numbers
- Math and Multimedia Carnival #8 and More
- Operations on Integers – Subtraction
- Math Teachers at Play #35 (via Let’s Play Math!)
- Blog Carnival 8 Deadline of Submission
- Operations on Integers – Addition
- The Distributive Property
- The Geometry of Commutativity
- Math and Multimedia Carnival # 7
- Making Mathematicians 1
- Pythagorean Triple 2: Generating Pythagorean Triples
- The Infinitude of Pythagorean Triples
- Understanding the Fermat’s Last Theorem
- Corresponding Angles of Similar Objects
- Introduction to Similarity
- Math and Multimedia Carnivals Deadline
- MnM Hosting Math Teachers at Play
- Demystifying Degree and Radian Measures
- Chess and the Axiomatic Systems
- GeoGebra Advanced Tutorial Series
- The Unfinished Game Problem
- WordPress Blogging Tutorial 3 – Publishing Your First Blog
- Large Numbers and One Million
- GeoGebra Essentials 5 – The Compass Tool and the SSS Congruence
- Vectors, Parallelograms, and Commutativity
- Constructing segments with irrational lengths
- Matchsticks, Linear Relations, and Multiple Representations
- How to Host The Mathematics and Multimedia Carnival
- Mathematics and Multimedia Blog Carnival # 4
- Is mathematics an exact science?
- What’s New in Math and Multimedia?
- Math and Multimedia’s 1st Birthday
- Basic Concepts of Functions
- Free tools every math blogger should learn
- Using Mathematics to Win the Lottery
- Math Teachers at Play 30 (via JD2718)
- Blog Carnival Potpourri: Submit, Host, or Promote
- Young Gauss and the sum of the first n positive integers
- Mathematics and Multimedia Blog Carnival #3
- Demystifying Triangle Inequality
- The Inscribed Angle Theorem and Its Applications
- A Gentle Introduction to Probability
- WinGeom Tutorial 2 – Constructing an Equilateral Triangle
- Mathematics and Multimedia Blog Carnival #2
- GeoGebra Tutorial 31 – Paper Folding Simulation
- Blog Carnival 2 Deadline of Submission
- GeoGebra Tutorial 26 – Constructing a Cycloid
- Ask Natural Math and Naturalmath.com
- Blog Carnival Reminder
- Math and Multimedia Carnival Criteria for Selection of Articles
- Pythagorean Theorem, Distance Formula, and Equation of a Circle
- The Binomial Expansion
- Milkshakes, Beads, and Pascal’s Triangle
- Investigating Polyhedrons with Poly
- GeoGebra Tutorial 20 – Spreadsheet, Slider and Curves of Best Fit
- Prime Series 1: Introduction to Prime Numbers
- Geometric Sequences and Series
- Is 0.999… really equal to 1?
- Slope Concept 3 – Slopes of Vertical and Horizontal Lines
- The Mystery Behind the Proof of 1=2
- Rational and Irrational Numbers
- Arithmetic Sequences and Linear Functions
- The Definition of “Undefined”
- Slope Concept 2 – Slope of the Graph of a Linear Function
- Slope Concept 1 – Understanding the Basic Concepts of Slope
- Area Tutorial 5 – Area of a Trapezoid
- Letters, Variables and Algebraic Expressions
- Introduction to the Concept of Functions
- GeoGebra Tutorial 9 – Vector and Translation
- Free Geometry and Topology Ebooks
- Compound Interest and the Irrational Number e
- Tessellation: The Mathematics of Tiling
- CaR Tutorial 2 – The MidSegment Theorem
- Derivative and the Maximum Area Problem
- The Algebraic and Geometric Proofs of Pythagorean Theorem
- Is there an SSA Congruence?
- A Closer Look at the Midpoint Formula
- GeoGebra Tutorial 7 – Sliders and Rotation
- How to use the summation symbol
- Introduction to Combinations
- Proof Tutorial 1: Introduction to Mathematical Proofs
- The Exterior Angle Theorem
- An Intuitive Introduction to Limits
- Derivation of the Quadratic Formula
- Parallel Lines and Transversals
- Geometer’s Sketchpad Tutorial 1: Constructing an Equilateral Triangle
- Introduction to Permutations
- Why is the angle sum of the interior angles of a triangle 180 degrees?
- GeoGebra Tutorial: Graphing Functions Using GeoGebra
- GeoGebra Tutorial: Graphs and Sliders Part 2
- Why is any number raised to 0 equals 1?
- GeoGebra Tutorial 6 – Parameterization of Length and Area
- GeoGebra Tutorial 5 – Discovering the Pythagorean Theorem
- GeoGebra Tutorial 4 – Graphs and Sliders
- GeoGebra Tutorial 3 – Constructing a Square
- GeoGebra Tutorial 2 – Constructing an Equilateral Triangle
- GeoGebra Tutorial 1 – Quadrilaterals & Midpoints
- Sum of the interior angles of a polygon
- Why do we reverse/flip the inequality sign?

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Pingback: All-time Top 10 Mathematics Posts | Mathematics and Multimedia

Thank you for explaining this, I had problems with this but I get it now. I have one question, what happens if both a and b are negative? Would it still reverse the inequality sign? Thank you~

@appplebananafruits123

If you are referring to the proof, you would reverse it if and are negative, but multiplying them by a negative value that is will make them positive, so no need to reverse them. If you are however referring to inequalities like $latex -3x < -5$, then yes. The answer to that is $latex x > 5/3$.

i’m in 7th grade ‘n doing Algebra 1 and i don’t understand this wording…. could someone explain dis 2 meh?