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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-8
New NZC (2026)
NZC26-P4-ALG-ER-K-Y9-05NZC26-P4-ALG-ER-K-Y9-04NZC26-P4-ALG-ER-K-Y9-09NZC26-P4-MEA-MEA-K-Y9-11NZC26-P4-ALG-ER-P-Y10-07NZC26-P4-ALG-ER-P-Y10-06NZC26-P4-ALG-ER-K-Y9-08NZC26-P4-ALG-ER-K-Y10-08NZC26-P4-ALG-ER-K-Y9-10NZC26-P4-ALG-ER-P-Y9-08NZC26-P4-ALG-ER-P-Y10-08NZC26-P4-ALG-ER-K-Y10-09
Resources
- CorbettMaths on gradient between two pointsQuestions PDF · Answers
- Beta: Plotting co-ordinates, Ex 13.01, pgs 230 & 231
- Beta: Drawing line from equation, Ex 13.02, pg 233
- Beta: Gradients, Ex 13.03 to Ex 13.06, pgs 235 & 239
- Beta: Intercept of lines, Ex 13.07 to Ex 13.08, pgs 240 & 241
- Beta: Horizontal and vertical lines, Ex 13.09, pg 243
- Beta: Applying straight-line rules, Ex 13.10, pgs 244 to 246
- Dr Austin Maths - Finding Gradients of Straight Lines Practice GridQuestions PDF · Answers
- Dr Austin Maths - Finding Fractional Gradients Practice GridQuestions PDF · Answers
- Dr Austin Maths - Drawing Line Segments with a Given Gradient Practice GridQuestions PDF · Answers
Terminology
- Gradient
- Slope
- Rise
- Run
- Rate of change
- Steepness
- Vertical line
- Horizontal line
- Positive gradient
- Negative gradient
- Undefined gradient
Task goals
- Calculate gradient from rise and run using the formula $\text{gradient} = \frac{\text{rise}}{\text{run}}$.
- Find gradient from two points on a line using $\text{gradient} = \frac{y_2 - y_1}{x_2 - x_1}$.
- Interpret gradient from tables and patterns to determine the rate of change.
- Identify whether a line goes up (positive gradient) or down (negative gradient).
- Compare steepness of lines by comparing gradient values.
- Understand that zero gradient represents a horizontal line and understand undefined gradient for vertical lines.
Where this fits
What leads into this objective, and where it goes next.
You are here
Gradient
Know
For a specific straight line, the gradient, m, and y-intercept, c, are fixed, and x varies with y according to the rule y = mx + c.
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-05
Know
The constant rate of change of a linear graph is the vertical change (how far it goes up or down) divided by the horizontal change (how far it moves sideways).
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-04
Also under NA6-8:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.