🧬 Ted's Lab
➕

Mathematics

Explore the world of numbers and shapes, and learn how they help us understand the world around us!

Why is Math Important?

Mathematics is everywhere! We use math when we count money, tell time, measure ingredients for cooking, play games, and even when we're playing sports. Math helps us solve problems and understand patterns in the world around us. It's like a universal language that everyone can understand!

➕

Addition & Subtraction

Addition and subtraction are used to show parts of a whole. You use terms like addition, subtraction, and fraction.

Examples:
  • 5 + 3 = 8
  • 10 - 4 = 6
  • 25 + 17 = 42
✖️

Multiplication & Division

Multiplication and division are used to show parts of a whole. You use terms like multiplication, division, and fraction.

Examples:
  • 4 × 5 = 20
  • 20 ÷ 4 = 5
  • 7 × 8 = 56
🔷

Shapes

Shapes are used to show parts of a whole. You use terms like shape, angle, and side.

Examples:
  • Triangles have 3 sides
  • Circles are perfectly round
  • Squares have 4 equal sides
0.5

Decimals

Decimals are used to show parts of a whole. You use terms like decimal, fraction, and percentage.

Examples:
  • 0.5 = one half
  • 0.25 = one quarter
  • 0.75 = three quarters
%

Percentages

Percentages are used to show parts of a whole. You use terms like percentage, fraction, and decimal.

Examples:
  • 50% = one half
  • 25% = one quarter
  • 75% = three quarters
½

Fractions

Fractions are used to show parts of a whole. You use terms like numerator, denominator, and fraction.

Examples:
  • ½ = one half
  • ¼ = one quarter
  • ¾ = three quarters
x

Algebra

Algebra is the study of symbols and the rules for manipulating those symbols. You use terms like variable, coefficient, constant, equation, and inequality.

Examples:
  • 2x + 3 = 7
  • x^2 + 2x + 1 = 0
  • 3x - 2 = 5
🔷

Geometry

Geometry is the study of shapes and their properties. You use terms like radius, diametre, circumference, area, chord, pi, and other terms in Geometry.

Examples:
  • Triangles have 3 sides
  • Circles are perfectly round
  • Squares have 4 equal sides
  • Pi is a constant
-

Subtraction

Subtraction is the process of removing one number from another. You use terms like subtract, minus, and difference.

Examples:
  • 5 - 3 = 2
  • 10 - 4 = 6
  • 25 - 17 = 8
📊

Statistics

Statistics is the study of data and how to use it to make predictions and decisions. You use terms like mean, median, mode, range, standard deviation, variance, correlation, and regression.

Examples:
  • Mean, median, mode, range
  • Standard deviation, variance
  • Correlation, regression
∫

Calculus

Calculus is the study of change and motion. You use terms like derivatives, integrals, limits, continuity, series, and sequences.

Examples:
  • Derivatives, integrals
  • Limits, continuity
  • Series, sequences
√

Square Root

Square root is the inverse of squaring. You use terms like square root, cube root, and other roots.

Examples:
  • √4 = 2
  • √9 = 3
  • √16 = 4
  • Square root of 2 is 1.414
^

Exponents

Exponents are used to show how many times a number is multiplied by itself. You use terms like exponent, base, and power.

Examples:
  • 2^3 = 8
  • 3^2 = 9
  • 4^1 = 4
lg

Logarithms

Logarithms are used to show how many times a number is multiplied by itself. You use terms like logarithm, base, and power.

Examples:
  • lg(10) = 1
  • lg(100) = 2
  • lg(1000) = 3
sin

Trigonometry

Trigonometry is the study of triangles and their properties. You use terms like sine, cosine, tangent, and other trigonometric functions.

Examples:
  • sin(30°) = 0.5
  • cos(45°) = 0.707
  • tan(60°) = 1.732

🔢 Number Patterns

Numbers follow amazing patterns! Here are some cool number sequences:

Even Numbers:2, 4, 6, 8, 10, 12... (numbers that can be divided by 2)
Odd Numbers:1, 3, 5, 7, 9, 11... (numbers that can't be divided evenly by 2)
Skip Counting by 5:5, 10, 15, 20, 25, 30... (helpful for telling time!)
Skip Counting by 10:10, 20, 30, 40, 50... (great for counting money!)
📏

Measurement

We use math to measure length (meters, feet), weight (kilograms, pounds), and volume (liters, cups). Measurement helps us build things, cook, and more!

⏰

Time

Math helps us tell time! There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Understanding time helps us stay organized!

💰

Money

Counting money uses addition and subtraction! Understanding money math helps you save, spend wisely, and make change when shopping.

Amazing Math Facts! 🎯

  • 🔢 Zero (0) is the only number that can't be written in Roman numerals!
  • ➕ The equals sign (=) was invented in 1557
  • 🎂 A "dozen" means 12, and a "baker's dozen" means 13!
  • 🔺 The sum of angles in any triangle always equals 180 degrees
  • ♾️ The infinity symbol (∞) is called a "lemniscate"
  • 🎲 The opposite sides of a dice always add up to 7!