Standard: 4.NBT.B5 – Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Grade level: Grade 4
Subject: Mathematics
Domain: Number & Operations in Base Ten
Teacher Overview
This standard focuses on multiplying multi-digit numbers using place value and properties of operations. It is crucial for building a strong foundation in arithmetic and prepares students for more complex mathematical concepts. Ensure students are comfortable with basic multiplication facts, place value understanding, and using arrays and area models.
After mastering this standard, students will be able to handle more complex multiplication and division problems, setting the stage for advanced arithmetic and algebra.
Common Misconception 1
A common misconception is that the order of digits in multiplication does not matter. This is incorrect because the position of each digit affects the overall value.
Intervention 1
Use place value charts and manipulatives to demonstrate how changing the order of digits changes the value of the product.
Common Misconception 2
Another misconception is confusing the roles of the multiplier and multiplicand, leading to errors in calculation.
Intervention 2
Use real-world scenarios and visual aids to help students distinguish between the multiplier and multiplicand.
Prerequisite Knowledge
Students should understand basic multiplication facts, place value up to thousands, and the concept of arrays and area models.
Subsequent Knowledge
Students will develop skills in more complex multiplication and division, including multi-digit multiplication and long division, and they will apply these skills in problem-solving scenarios.
Instructional Activities
- Use place value charts to break down multi-digit numbers.
- Create rectangular arrays to visualize multiplication problems.
- Solve real-world problems involving multi-digit multiplication.
- Practice using area models to illustrate calculations.
