From one line to two directions.

Connect order and signs one step at a time

1. 1 / 6

   How many numbers locate a point?

   Compare positions on a line and a grid to see why two directions are needed.

2. 2 / 6

   Horizontal first, vertical second

   Read points as ordered pairs and check what changes when the order is reversed.

3. 3 / 6

   Positions to the left and below

   Distinguish negative directions on both axes and read signed coordinates.

4. 4 / 6

   What if a coordinate is zero?

   Distinguish points on the axes from the origin and explain zero.

5. 5 / 6

   One row of a table, one point

   Represent an input-output pair as coordinates and read between a table and its points.

6. 6 / 6

   Where does a reflected point go?

   Distinguish the changed and unchanged coordinates in reflections across the axes.

Preparation for ratios, proportion and functions

Coordinates represent two values as one point. Next, compare quantities by their multipliers and read relationships in tables and graphs. Continue to the introductory ratio, proportion and percentage course. The function introduction is also available after the ratio course.

• For ratios: align units when comparing the same kind of quantity, and distinguish differences from multipliers. Review units of the same length · Review the meaning of division
• For proportion: compare adding a constant with multiplying by a constant. Compare two correspondence rules
• For functions: pair inputs and outputs, check axis labels and plot points. Check the meaning of intermediate values before joining points. Review tables and points

If you can explain reflections with coordinates, you may explore the existing symmetry experiment. Return to the axis-mirror activity if needed.

No quiz score locks the next story. Close the explanation and represent a new example in words or a drawing.