Gradient

Explore Gradient.

All resources Download All ⬇

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

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.

Key skills

  • Gradient
  • Slope
  • Rise run
  • Linear graphs
  • Coordinates
  • Intercepts
  • Equation of line

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included