Unit 16: Whole-Number Arithmetic Fluency

Day 22 of 30

Learn to divide by 2-digit divisors

3-5Mathematics

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Learning Objective

Students will be able to explore learn to divide by 2-digit divisors.

Today's Lesson

In this lesson, we'll explore learn to divide by 2-digit divisors. Mathematical thinking develops logical reasoning and problem-solving abilities.

Multi-digit multiplication and division extend basic facts using place value. Multiplying by multiples of 10: 6 × 40 = 6 × 4 × 10 = 24 × 10 = 240. Multiply the non-zero digits, then attach the zeros. Multiplying 2-digit by 1-digit: use the area model (24 × 6 = 20×6 + 4×6 = 120 + 24 = 144) or the standard algorithm (multiply ones, multiply tens, add). Multiplying 2-digit by 2-digit: FOIL-like approach: (23 × 47 = 20×40 + 20×7 + 3×40 + 3×7 = 800 + 140 + 120 + 21 = 1081). Division by 2-digit divisors: estimate the quotient using compatible numbers (372 ÷ 43: think 43 ≈ 40; 360 ÷ 40 = 9; try 9, check 9×43=387 too big; try 8, check 8×43=344; remainder 372−344=28). Long division practice builds number sense and prepares for algebra.

As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.

Take notes on key points and make connections to what you've already learned in previous lessons.

Key Terms
Problem

A mathematical question requiring analysis and solution

Solution

The result obtained by solving a problem

Activities
Instructions
1. Review the example problems for learn to divide by 2-digit divisors. 2. Identify the steps and strategies used. 3. Work through practice problems independently. 4. Compare solutions with a partner.
Materials Needed
  • Notebook
  • Calculator (if needed)
  • Graph paper
Practice Problems
1

Practice Problem 1: Apply what you learned today.

Hint: Review the examples from the lesson.
2

Practice Problem 2: Try a similar problem on your own.

Hint: Use the strategies you learned.
3

Challenge: Can you create your own problem like the ones we practiced?

Hint: Think about the pattern in the problems.

Teaching Tip

For this age group: Balance direct instruction with collaborative activities. Allow students to explain their thinking and make connections to prior knowledge when exploring learn to divide by 2-digit divisors.

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