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**Objective:**

Child will be able to investigate system of equations to find their solutions using SOHO Brick graphs.

**Essential Question:**

How might we identify solutions to a set of equations using graphs?

**Special Materials:**

None

Bricks Required:

1x bricks of various sizes; 2 brick plates

**Project Structure
**

- Have child graph a set of equations using SOHO Bricks.
- Ask child a series of questions about the graphs and review:
- What is the y-intercept of each graph?
- What are the slopes of each graph?
- Do the graphs intersect at all? Where? How do you know they intersect?
- What does it mean to have two lines intersect?

- Have child clearly identify and label the coordinates of intersection.

**Explore:**

- Have child solve the system of equations they graphed, using algebra:
- This can be done via a method of their choosing and should be supported and scaffolded.

- Have child compare their solution from their equation to the intercept.
- Ask child to explain what they see and what it means for the graph: mainly, that the solution to the equations is always the point of intersection between the two lines.

**Explain/Elaborate:**

- Provide child with systems that do not have points of intersection, such as parallel lines.
- Have child graph and see they do not intersect. Ask them the questions from the “Engage” section above.
- Ask child to use observation to develop a way to determine if lines will have a solution or a point of intersection