Proportionality and Linear Relationships · Number and Algebra

Linear Graphs and Gradient

Understanding the geometric interpretation of rate of change as the steepness of a line.

Key Questions

  1. 1What does a negative gradient represent in the context of physical motion?
  2. 2How does changing the y-intercept affect the position and meaning of a graph?
  3. 3Why is the gradient between any two points on a straight line always constant?

MOE Syllabus Outcomes

MOE: Graphs of Linear Equations - S2MOE: Numbers and Algebra - S2
Level: Secondary 2
Subject: Mathematics
Unit: Proportionality and Linear Relationships
Period: Number and Algebra

Suggested Methodologies

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Direct and Inverse Proportions

Investigating how variables change in relation to each other and identifying constants of proportionality.

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Applications of Proportion

Applying proportional reasoning to solve problems involving maps, scales, and currency exchange.

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