Course Overview
In this course, students will learn about long multiplication, an essential mathematical skill that will be used in future grades and throughout life. Students will learn the steps involved in long multiplication, practice various methods, and learn how to solve problems efficiently. By the end of the course, students will be able to confidently solve long multiplication problems and apply these skills to real-world scenarios.
Course Goals and Aims
Goals
- To develop a solid understanding of the long multiplication process
- To develop fluency in solving long multiplication problems
- To understand the importance of accuracy and precision in long multiplication
- To apply long multiplication skills to solve real-world problems
Aims
- To introduce and explain the concept of long multiplication
- To demonstrate the long multiplication process step-by-step
- To explore various methods for solving long multiplication problems
- To provide ample practice opportunities for students to develop their skills
- To assess student progress and provide feedback for improvement
Course Outline
Module 1: Introduction to Long Multiplication (4 Lessons)
- Lesson 1: What is long multiplication?
- Lesson 2: Understanding place value and digits
- Lesson 3: Multiplying single-digit numbers
- Lesson 4: Multiplying double-digit numbers
Module 2: The Long Multiplication Process (8 Lessons)
- Lesson 5: Writing out numbers and aligning digits
- Lesson 6: Multiplying across and carrying over
- Lesson 7: Multiplying tens and hundreds
- Lesson 8: Multiplying larger numbers
- Lesson 9: Checking answers for accuracy
- Lesson 10: Using estimation to check answers
- Lesson 11: Practicing long multiplication with decimals
- Lesson 12: Solving word problems using long multiplication
Module 3: Alternative Methods for Long Multiplication (6 Lessons)
- Lesson 13: Using the lattice method for long multiplication
- Lesson 14: Exploring partial products and expanded notation
- Lesson 15: Using the box method for long multiplication
- Lesson 16: Solving using the Russian peasant method
- Lesson 17: Using the grid method for large numbers
- Lesson 18: Comparing and contrasting alternative methods
Module 4: Advanced Long Multiplication (5 Lessons)
- Lesson 19: Multiplying polynomials
- Lesson 20: Multiplying mixed numbers
- Lesson 21: Solving long multiplication with exponents
- Lesson 22: Using long multiplication for scientific notation
- Lesson 23: Solving advanced word problems using long multiplication
Module 5: Review and Practice (16 Lessons)
- Lesson 24-39: Review of long multiplication concepts and skills
- Lesson 40: Applying long multiplication to real-world scenarios
- Lesson 41: Final assessment
Course Conclusion
This course has aimed to provide students with a comprehensive understanding of long multiplication, including the steps involved, alternative methods, and advanced applications. Students have been given practice opportunities to develop their skills and will have a thorough understanding of how to apply long multiplication to real-world problems. We hope that students have enjoyed the course and feel confident using long multiplication in future academic and personal pursuits.