Gr 8 (functions & Relationships)

Input and Output Values:

• Representations: Use flow diagrams, tables, formulae, and equations to represent relationships between input and output values.

• Determination: Find input, output, or rules for patterns and relationships.

Equivalent Forms:

• Representations: Determine, interpret, and justify equivalence of different representations (verbal, flow diagrams, tables, formulae, equations).

Graphs:

• Interpretation: Analyze and interpret graphs, focusing on trends like linearity, constancy, and maximum/minimum points, as well as discreteness or continuity.

• Drawing: Create graphs from descriptions of problem situations, using tables or ordered pairs to plot points on the Cartesian plane.

Input and output values

• Revise, determine input values, output values or rules for patterns and relationships using:

- flow diagrams
    -   tables
    -   formulae

• Extend determine input values, output values or rules for patterns and relationships using equations

Equivalent forms

• Revise determine, interpret and justify equivalence of different descriptions of the same relationship or rule presented:

- verbally
    - in flow diagrams
    - in tables
    - by formulae
    - by number sentences

• Extend determine, interpret and justify equivalence of different descriptions of the same relationship or rule presented by equations

GRAPHS 

Interpreting graphs 

• Analyse and interpret global graphs of problem situations, with special focus on the following trends and features: 

‒ Linear or non-linear 

‒ Constant, increasing or decreasing 

‒ Maximum or minimum 

‒ Discrete or continuous  

Drawing graphs 

• Draw global graphs from given descriptions of a problem situation, identifying features listed above 

• Use tables or ordered pairs to plot points and draw graphs on the Cartesian plane