Basic Math Concepts Lecture

Overview

• Focus on basic math skills
• Topics:
  • Addition and subtraction (including negative numbers)
  • Multiplication (including mental math)
  • Division
  • Fractions to decimals conversion
  • Working with percentages mentally
  • Simplifying fractions
  • Exponents and order of operations
  • Radicals and scientific notation
  • Solving various types of equations
  • Graphing linear and quadratic equations

Arithmetic

Addition and Subtraction

• Use a number line to add and subtract numbers.
• Examples:
  • 5 + 4 = 9
  • 7 - 3 = 4
  • 5 - 8 = -3
  • Negative numbers: Negative signs next to each other can be converted to positive.

Multiplication

• Importance of knowing multiplication tables.
• Techniques:
  • Repeated addition approach
  • Break numbers down into smaller components

Division

• Division as the reverse operation of multiplication.
• Examples:
  • 56 divided by 7 = 8
  • Use division to convert fractions to decimals via long division.

Fractions

Converting Fractions to Decimals

• Use long division.
• Common fractions to memorize:
  • 1/2 = 0.5
  • 1/3 = 0.33 (repeating)
  • 1/4 = 0.25
  • etc.

Scientific Notation and Percents

Scientific Notation

• Conversion between scientific notation and standard form.

Percentages

• Converting fractions to percentages (multiply by 100).

Solving Equations

• Types:
  • Linear equations
  • Equations with decimals and fractions
  • Quadratic equations
• Techniques:
  • Factoring
  • Using the quadratic formula

Graphing

Linear and Quadratic Equations

• Understanding parent functions
• Performing transformations

Additional Resources

• For deeper understanding and practice, consider exploring longer, paid content.