Find a rule, then cross zero.

Connect one step at a time

1. 1 / 6

   Small rules: repeating and growing

   Distinguish a repeating unit from a constant increase.

2. 2 / 6

   Inputs and outputs

   Pair each input with an output using one stated rule.

3. 3 / 6

   There are positions below zero

   Choose a reference zero and unit, then read negative positions.

4. 4 / 6

   Comparing negatives: right is greater

   Use the same order on a number line below zero.

5. 5 / 6

   Position and distance differ

   Distinguish opposite numbers from their distances from zero.

6. 6 / 6

   Start and move on a number line

   Distinguish start, direction, number of steps and endpoint.

Next preparation for coordinates and ratios

After these six stories, the path continues to position and coordinates, ratios and proportion, then functions. Below are preparation ideas and review links. Continue to the coordinate introduction below. The ratio, proportion and percentage introduction is also available; the function introduction is also available.

• Position and coordinates: explain zero, direction and equal intervals first; then learn horizontal and vertical directions and ordered pairs. Review position and movement on one line
• Ratios and proportion: identify the quantities, common units and multiplier. Adding a constant differs from multiplying by a constant. Compare two correspondence rules · Review units of the same length · Review the meaning of division
• Functions: reuse the idea of assigning one output per input. Connect to graphs after learning coordinates and proportion.

Pause after one lesson. No quiz score locks the next story. Close the explanation and draw a different example to check your thinking.