Unit 6, Lesson 9
Registremos productos parciales: Factores de un dígito y factores de tres o de cuatro dígitos
Grado 4
Preparation
Lesson Purpose
The purpose of this lesson is for students to multiply a multi-digit number by a one-digit number using an algorithm that uses partial products. Students make connections between this algorithm, rectangular diagrams, and equations.
Lesson Narrative
In previous lessons, students used diagrams to represent multiplication of a one-digit number and a whole number of up to four digits. Students learned to decompose larger factors by place value and used diagrams and corresponding expressions to support them in finding partial products. In this lesson, students learn an algorithm for keeping track of partial products that come from multiplying the digits of the factors. This algorithm that uses partial products lays the foundation for the standard algorithm for multiplication.
Students engage in quantitative and abstract reasoning (MP2) as they relate the partial products in a diagram and in an algorithm. Because this lesson offers an initial exposure to the new notation, students are not required to use an algorithm that uses partial products to multiply. They can rely on other methods they have learned so far.
- Action and Expression
- MLR8
- Interpret and use an algorithm that uses partial products to multiply multi-digit whole numbers by one-digit numbers.
- Match diagrams and recording methods that represent the same multiplication strategy.
- Analicemos y probemos un algoritmo en el que se usan productos parciales.
Required Preparation
None
Teacher Reflection Questions
What part of the lesson went really well today in terms of students learning? What did you do that made that part go well?
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