Lecture

Basic Addition

This module introduces the concept of addition, providing a foundation for future math skills. Students will learn:

  • The definition of addition.
  • Various visual representations of addition.
  • Strategies to enhance understanding of this fundamental operation.

By using multiple methods, learners can grasp the concept of addition more effectively, making it easier to progress to more complex arithmetic tasks.


Course Lectures
  • Basic Addition
    Salman Khan

    This module introduces the concept of addition, providing a foundation for future math skills. Students will learn:

    • The definition of addition.
    • Various visual representations of addition.
    • Strategies to enhance understanding of this fundamental operation.

    By using multiple methods, learners can grasp the concept of addition more effectively, making it easier to progress to more complex arithmetic tasks.

  • Addition 2
    Salman Khan

    This module focuses on adding two-digit numbers, which is a critical skill in mastering addition. Students will learn:

    • How to align numbers for addition.
    • Strategies for mental addition of two-digit numbers.
    • Common pitfalls to avoid when adding.

    Through practice problems and examples, learners will build confidence in their ability to handle multi-digit addition.

  • Level 2 Addition
    Salman Khan

    This module introduces the addition of a two-digit number to a one-digit number, emphasizing the concept of carrying. Students will discover:

    • How to carry over numbers when the sum exceeds ten.
    • Visual methods to illustrate carrying.
    • Practice problems to reinforce the concept.

    By mastering this technique, learners will be well-prepared for more complex addition tasks.

  • Addition 3
    Salman Khan

    This module provides practice in carrying digits when adding multiple-digit numbers. Key aspects include:

    • Step-by-step examples of carrying.
    • Common scenarios requiring carrying.
    • Exercises to enhance speed and accuracy.

    Students will gain confidence as they work through progressively challenging problems, solidifying their addition skills.

  • Addition 4
    Salman Khan

    This module offers more practice with carrying when adding multiple-digit numbers. Students will learn:

    • Advanced techniques for handling carrying.
    • Real-world applications of addition.
    • Tips for avoiding common mistakes.

    The focus will be on increasing proficiency and understanding through varied exercises and examples.

  • Basic Subtraction
    Salman Khan

    This module introduces subtraction as a fundamental operation in arithmetic. Key learning points include:

    • The definition of subtraction.
    • Visual representations to aid understanding.
    • Basic subtraction strategies and techniques.

    Through engaging activities, students will develop a strong foundation in subtraction, preparing them for more complex operations.

  • Subtraction 2
    Salman Khan

    This module explores different ways to view subtraction, helping students to understand the concept from various angles. Topics include:

    • Subtraction as taking away vs. comparing.
    • Visual models to illustrate different perspectives.
    • Practice problems to enhance understanding.

    Students will gain a deeper appreciation of subtraction, fostering flexibility in their mathematical thinking.

  • This module introduces the concept of borrowing or regrouping in subtraction, which is crucial for handling larger numbers. Students will learn:

    • How to identify when borrowing is necessary.
    • Step-by-step methods for regrouping.
    • Common pitfalls to avoid when borrowing.

    Through examples and practice, learners will develop the skills needed to subtract larger numbers confidently.

  • This module details a mental method for subtraction, providing strategies for quick calculations. Key points include:

    • Techniques to simplify subtraction mentally.
    • Ways to estimate results before calculating.
    • Practice problems to enhance mental math skills.

    Students will learn to perform subtraction more efficiently, boosting their confidence in arithmetic.

  • Why Borrowing Works
    Salman Khan

    This module explains the reasoning behind borrowing or regrouping in subtraction, focusing on the conceptual understanding rather than just the mechanics. Students will explore:

    • Why borrowing is necessary in certain situations.
    • How regrouping helps maintain the value of numbers.
    • Examples to illustrate the concepts clearly.

    By understanding the "why" behind the process, learners will be better equipped to apply it in various contexts.

  • Level 4 Subtraction
    Salman Khan

    This module focuses on subtracting multi-digit numbers that require borrowing. Key learning points include:

    • Step-by-step guidance for handling complex subtraction.
    • Common mistakes and how to avoid them.
    • Practice problems to develop proficiency.

    Through targeted exercises, students will gain confidence in their ability to tackle challenging subtraction problems.

  • Adding Decimals
    Salman Khan

    This module introduces the concept of adding decimals, an essential skill for everyday calculations. Students will learn:

    • How to align decimal points for addition.
    • Techniques for adding decimals accurately.
    • Practice problems to reinforce skills.

    Through engaging exercises, learners will develop the confidence needed to work with decimals in various contexts.

  • Subtracting Decimals
    Salman Khan

    This module covers the process of subtracting decimal numbers. Students will explore:

    • How to align decimal points for subtraction.
    • Techniques for ensuring accuracy while subtracting.
    • Practice problems to build confidence.

    By mastering decimal subtraction, learners will enhance their overall arithmetic skills.

  • Basic Multiplication
    Salman Khan

    This module introduces multiplication as a fundamental operation in arithmetic. Key learning points include:

    • The definition of multiplication.
    • Various visual representations to illustrate the concept.
    • Basic multiplication strategies.

    Through engaging activities, students will develop a strong foundation in multiplication, preparing them for more complex operations.

  • This module focuses on the multiplication tables from 2 to 9, which are crucial for quick calculations. Students will learn:

    • How to memorize multiplication tables.
    • Techniques for practicing multiplication.
    • Common patterns in multiplication.

    Through repetition and practice, learners will become more fluent in their multiplication skills.

  • This module covers the multiplication tables for 10, 11, and 12, expanding learners' multiplication skills. Key points include:

    • Understanding the significance of these tables.
    • Techniques for quick recall.
    • Practice problems for reinforcement.

    Students will gain confidence in their multiplication abilities as they master these essential tables.

  • This module focuses on multiplying a two-digit number by another two-digit number, which is a vital skill in arithmetic. Key learning points include:

    • Strategies for breaking down the multiplication process.
    • Step-by-step methods for accuracy.
    • Practice problems to reinforce skills.

    Students will be challenged with varied examples, enhancing their multiplication proficiency.

  • This module covers the multiplication of multiple-digit numbers with each other. Students will learn:

    • Step-by-step guidance for tackling complex multiplication.
    • Techniques to ensure accuracy.
    • Common issues to avoid during multiplication.

    By practicing these techniques, learners will develop confidence in handling larger multiplication tasks.

  • This module presents more examples of multiplying three-digit numbers by two-digit numbers as well as three-digit by three-digit numbers. Key points include:

    • Detailed examples for clarity.
    • Step-by-step breakdowns of the multiplication process.
    • Practice problems for mastery.

    Students will enhance their understanding of larger multiplication problems through focused practice.

  • This module introduces the concept of multiplying decimals. Students will learn:

    • How to align decimal points for multiplication.
    • Techniques for multiplying decimals accurately.
    • Practice problems to reinforce understanding.

    By mastering decimal multiplication, learners will enhance their overall arithmetic skills and real-world application capabilities.

  • This module introduces lattice multiplication as an alternative method for multiplying numbers. Key learning points include:

    • The basics of lattice multiplication.
    • How to set up the lattice grid.
    • Step-by-step examples to illustrate the process.

    Students will explore this unique method, enhancing their multiplication skills and providing them with a new strategy for calculations.

  • This module covers the reasoning behind why lattice multiplication works, delving into the concept's mathematical foundations. Students will learn:

    • The principles behind the lattice method.
    • How to apply these principles to various multiplication problems.
    • Examples to illustrate the method’s effectiveness.

    By understanding the "why" behind lattice multiplication, learners will gain a deeper appreciation for this technique.

  • Division 1
    Salman Khan

    This module introduces division as a fundamental operation in arithmetic. Key topics include:

    • The definition and concept of division.
    • Visual representations to illustrate division.
    • Basic division strategies and techniques.

    Through engaging activities, students will develop a solid foundation in division, preparing them for more complex operations.

  • Division 2
    Salman Khan

    This module covers dividing larger numbers, introducing long division and remainders. Students will learn:

    • Step-by-step methods for performing long division.
    • How to handle remainders appropriately.
    • Practice problems to reinforce skills.

    By mastering these techniques, learners will gain confidence in tackling more complex division problems.

  • This module provides more examples of long division and remainder calculations. Key learning points include:

    • Step-by-step examples for clarity.
    • Common issues and how to resolve them.
    • Additional practice problems to enhance skills.

    Students will solidify their understanding of long division through targeted exercises and examples.

  • Level 4 Division
    Salman Khan

    This module focuses on dividing a two-digit number into a larger number, emphasizing strategies for success. Key points include:

    • Step-by-step guidance for two-digit division.
    • Common pitfalls and how to avoid them.
    • Practice problems to reinforce understanding.

    Through targeted exercises, learners will gain confidence in their division abilities.

  • This module introduces the process of converting fractions to decimals. Students will learn:

    • The definition of fractions and decimals.
    • Methods for converting fractions into decimal form.
    • Practice problems to reinforce understanding.

    By mastering this skill, learners will enhance their mathematical versatility in various contexts.

  • Percent and Decimals
    Salman Khan

    This module focuses on expressing percentages as decimals and vice versa. Key learning points include:

    • The relationship between percentages and decimals.
    • Techniques for converting between the two.
    • Practice problems for reinforcement.

    Students will gain a solid understanding of how to navigate between these two forms of numerical representation.

  • Dividing Decimals
    Salman Khan

    This module introduces the process of dividing decimal numbers. Students will learn:

    • How to align decimal points for division.
    • Techniques for ensuring accuracy.
    • Practice problems to build confidence.

    By mastering decimal division, learners will enhance their overall arithmetic skills and real-world application capabilities.

  • This module focuses on ordering numeric expressions, including decimals, fractions, and percentages. Key learning points include:

    • The importance of ordering numbers correctly.
    • Techniques for comparing different forms of numbers.
    • Practice problems for reinforcement.

    Students will develop a strong understanding of how to organize numeric expressions effectively.

  • This module introduces the concept of the greatest common divisor (GCD). Students will learn:

    • How to determine the GCD of two numbers.
    • Example problems to illustrate the process.
    • Strategies for factoring numbers effectively.

    By mastering GCD, learners will gain skills applicable in various mathematical contexts.

  • Equivalent Fractions
    Salman Khan

    This module introduces the concept of equivalent fractions. Students will learn:

    • The definition and importance of equivalent fractions.
    • Methods for finding equivalent fractions.
    • Practice problems to reinforce understanding.

    By mastering equivalent fractions, learners will enhance their fraction skills, which are essential for more advanced math topics.

  • This module focuses on mixed numbers and improper fractions, teaching students how to convert between the two forms. Key learning points include:

    • The definition and differences between mixed numbers and improper fractions.
    • Step-by-step methods for conversion.
    • Practice problems to reinforce skills.

    By mastering these conversions, learners will enhance their understanding of fractions and their applications in mathematics.