Lesson 4
Another Look at the Standard Algorithm
Lesson Purpose
Lesson Narrative
In previous units, students used the standard algorithm to subtract numbers. They interpreted and practiced ways to record 1 larger unit being decomposed and 10 being added to the unit to its right.
In this lesson, students encounter problems where they would need to decompose a series of larger units in order to subtract using the standard algorithm, such as when subtracting a number with non-zero digits from a number with multiple zeros (for example, \(5,\!000 - 741\)). Students consider the merits (the efficiency, likelihood of error, or reliability) of different ways to reason about such differences. They recognize that the standard algorithm may not always be the most efficient strategy for subtracting multi-digit numbers. Students explain how they can use the relationship between the numbers in an expression to select a strategy.
If students need additional support with the concepts in this lesson, refer back to Unit 4, Section D in the curriculum materials.
- Engagement
- MLR7
Activity 1: Lots of Zeros
Learning Goals
Teacher Facing
- Compare different methods for subtracting multi-digit numbers.
- Subtract multi-digit numbers using the standard algorithm.
Student Facing
- Let’s subtract from numbers with zeros.
Required Materials
Materials to Gather
Required Preparation
Lesson Timeline
| Warm-up | 10 min |
| Activity 1 | 15 min |
| Activity 2 | 20 min |
| Lesson Synthesis | 10 min |
| Cool-down | 5 min |