Student Goal

I can solve problems with positive and negative numbers.

Why It Matters

Integers help students reason about temperature, money, elevation, scores, and later rational number operations in 7th grade.

Warm-Up

Warm-Up 1

Find -6 + 4.

Warm-Up 2

Find -3 x 5.

Warm-Up 3

A temperature drops from 2 degrees by 7 degrees. What is the new temperature?

Short Lesson

Standard Focus

NC.7.NS: The Number System

Student-Friendly Standard Goal

I can use positive and negative numbers to solve problems and explain my thinking.

  • Integers include positive numbers, negative numbers, and zero.
  • Adding a positive number moves right on a number line. Adding a negative number moves left.
  • For multiplication and division, same signs give a positive result. Different signs give a negative result.

Guided Examples

Guided Example 1

Temperature Change

The temperature is -4 degrees in the morning. It rises 9 degrees. What is the new temperature?

Step 1

-4 + 9

Which direction does a rise of 9 move on the number line?

Guided Example 2

Integer Product

A submarine descends 6 meters each minute for 4 minutes. Represent the total change.

Step 1

4 x (-6)

Why is the 6 negative?

Practice

Problem 1

Find -8 + 3.

Problem 2

Find -2 - 6.

Problem 3

Find -7 x -3.

Problem 4

A bank account changes by -12 dollars each day for 3 days. What is the total change?

Problem 5

Which answer is reasonable for -18 / 3?

Reflection

How are you feeling about today's skill?

Optional reflection: Which integer rule or visual helped you most today?