Introduction
Imagine yourself standing on a number line at zero. You decide to take 25 steps back, and then 10 steps forward. What number will you land on?
Here are some things that you must think about:
- Could we use addition or subtraction to solve the problem?
- What numbers represent 25 steps backwards and 10 steps forward?
- What should the answer look like?
After this lesson you will be able to solve this problem.
Following successful completion of this lesson, students will be able to...
- Demonstrate addition of integers on the number line.
- Describe situations involving opposite quantities combining to make zero.
- Show that a number and its opposite have a sum of zero.
- Understand that p + q is the distance of |q| from p.
Essential Questions
- How are rational numbers different from irrational numbers?
- Why is it important to know how to perform operations on rational numbers?
- How can we use one or more of the four basic math operations to solve real-world and mathematical problems?
Enduring Understandings
- Operations create relationships between numbers.
- Real-world math problems are solved by using one or more of the four basic mathematical operations.
The above objectives correspond with the Alabama Course of Study: Grade 7 Mathematics standards: 4, 4a, 4b.
