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**Objective:**

Child will be able to determine a way to represent numbers going different directions using + and – numbers.

**Essential Question:**

How might we represent directions Left/Right, Up/Down, North/South, East/West using only numbers?

**Project Structure
**

- Stand approximately in the middle of the room to start the project. From standing, ask child to count your steps as you walk.
- Begin to walk towards the front of the room, slowly exaggerating each step to make them easy to count. Child should be counting out loud.
- Write the number of steps down so it is easy to remember.
- Repeat the process with the same number of steps, but towards the back of the room. Write it down.
- Ask child: How might we differentiate the difference between the two walks?

**Explore:**

- Ask child to create lines to represent the two different directions of the walk, identifying the starting point with different color SOHO bricks.
- Child ought to be designing a line of bricks where 0 is a different color than the rest.
- They should be marking on the line the correct number of steps “forward” and the correct number of steps”backwards.

- Ask child how we might use this line to identify the number of steps and direction with just mathematical notation—rather than by saying “forward” or “backwards.”
- Give child time to develop their comprehension and share ideas. The hope is to get them to use +/- as replacements for direction words.
- It may be helpful to facilitate child’s ideas by using the expression “opposite” direction when talking about the difference between forwards and backwards.

- Have child explain their concepts and how +/- may be used to represent opposite directions.
- Have child make attempts at making number lines with varying scales for same and different scenarios.

**Explain/Elaborate:**

- Provide child with scenarios to practice using the number line. Scenarios may be related to walking, temperature changes, climbing up/down a ladder, gaining or losing money, and so on.
- Have child write an explanation of how the number line works, and how opposite numbers may be used to solve a wide variety of real-world problems.
- Have child write out an explanation of the importance of scale and how it may be changed.