Unit 19: Intro to Negative Numbers and Integers

Day 3 of 30

Understand integers as positive and negative whole numbers

3-5Mathematics

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Learning Objective

Students will be able to understand integers as positive and negative whole numbers.

Today's Lesson

In this lesson, we'll explore how to understand integers as positive and negative whole numbers. Mathematical thinking develops logical reasoning and problem-solving abilities.

Integers are whole numbers and their opposites: ...-3, -2, -1, 0, 1, 2, 3... Negative numbers are less than zero and are used for temperatures below freezing, debts, elevations below sea level, and more. Positive numbers are greater than zero. Zero is neither positive nor negative. On a number line, negatives are to the left of zero, positives to the right. Understanding integers expands the number system beyond counting numbers!

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 understand integers as positive and negative whole numbers. 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

Order from least to greatest: 5, -2, 0, -7, 3

Hint: Negative numbers are less than positive. -7 is farthest left.
2

What is the opposite of -9?

Hint: Opposite means same distance from zero, other side.
3

-5 + 3 = ?

Hint: Start at -5, move right 3 spaces on number line.

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 understand integers as positive and negative whole numbers.

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