High School Math

High School Math covers essential mathematical concepts and skills necessary for success in high school and beyond.

Basic Concepts

Geometry and Measurement

Shapes, Space, and Size

Geometry is all about the properties and relationships of shapes and spaces. From triangles and circles to 3D figures, geometry helps us understand the world visually and spatially.

Key Ideas

  • Points, Lines, & Angles: The basics of all geometric figures.
  • Polygons: Shapes like triangles, rectangles, and pentagons.
  • Circles: Understanding radius, diameter, and circumference.

Measuring Perimeter and Area

  • Perimeter: The distance around a shape. For a rectangle: \( P = 2(l + w) \).
  • Area: The space inside a shape. For a rectangle: \( A = l \times w \).

Measuring Volume

For a rectangular box: \( V = l \times w \times h \).

Geometry in Everyday Life

  • Building and construction use geometric concepts for design and stability.
  • Artists and designers use symmetry and shapes in their work.
  • Even sports fields are designed using geometric principles!

Examples

  • Calculating the area of a triangle with base 6 cm and height 4 cm: \( A = \frac{1}{2} \times 6 \times 4 = 12, \text{cm}^2 \).

  • Finding the circumference of a circle with radius 3 m: \( C = 2\pi \times 3 \approx 18.85, \text{m} \).

In a Nutshell

Geometry studies shapes, sizes, and the properties of space.

Key Terms

Perimeter
The total distance around a shape.
Area
The amount of surface enclosed within a shape.
Volume
The amount of space a 3D object occupies.