Rates of Change and Initial Values
Students identify the rate of change and initial value of linear relations from tables, graphs, and equations.
About This Topic
Students identify the rate of change and initial value of linear relations from tables, graphs, and equations.
Key Questions
- What does the rate of change represent in a real-world scenario?
- How does the initial value affect the graph of a line?
- How can we identify a linear relation from a table of values?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Foundations of Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Modelling Linear Relations
Graphing Linear Relations
Students graph lines using the slope and y-intercept, as well as x- and y-intercepts, translating between different forms of linear equations.
8 methodologies
Algebraic Models of Linear Relations
Students create algebraic models to represent linear relationships derived from written descriptions and real-world data.
8 methodologies
Solving Linear Equations
Students solve first-degree equations, including those with fractional coefficients, and verify their solutions.
8 methodologies