-Algebra
-Surface area
Pythagorean Theorem
The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. This is written as:
a2+b2=c2
where a and b are the legs, and c is the hypotenuse. This theorem helps in finding missing side lengths in right triangles and is widely used in geometry, trigonometry, and real-life applications like construction and navigation.
Describe what you learned and why it's important.
Algebra is a branch of mathematics that uses symbols (like xxx and yyy) to represent numbers in equations and expressions. It helps solve problems where values are unknown.
Variables: Letters representing unknown numbers (e.g., x,y,zx, y, zx,y,z).
Expressions: Combinations of numbers, variables, and operations (e.g., 3x+53x + 53x+5).
Equations: Statements that two expressions are equal (e.g., 2x+3=72x + 3 = 72x+3=7).
Solving Equations: Finding the value of the variable (e.g., if 2x=82x = 82x=8, then x=4x = 4x=4).
Like Terms: Terms with the same variable (e.g., 3x+2x=5x3x + 2x = 5x3x+2x=5x).
Expanding & Factoring: Using distributive property (e.g., (x+2)(x+3)=x2+5x+6(x + 2)(x + 3) = x^2 + 5x + 6(x+2)(x+3)=x2+5x+6).
Surface Area is the total area covered by the outer surfaces of a 3D shape. It is measured in square units (e.g., cm², m²).
There are two types:
Lateral Surface Area (LSA) – The area of the sides, excluding the top and bottom.
Total Surface Area (TSA) – The sum of all faces, including top and bottom.