MTH1W:

Algebra

C3. Application of Relations

C3.1 compare the shapes of graphs of linear and non-linear relations to describe their rates of change, to make connections to growing and shrinking patterns, and to make predictions

C3.2 represent linear relations using concrete materials, tables of values, graphs, and equations, and make connections between the various representations to demonstrate an understanding of rates of change and initial values

This lesson explores how visual representations of linear growing patterns can be described by rules and how those rules are expressed algebraically.

Key ideas:

  • slope/initial value

  • tables-of-values and first differences

  • moving students from additive/recursive to functional thinking

Using Scratch to Connect Equations & Graphs of Linear Relations

This lesson begins with a no-tech introduction to Scratch code representing a simple linear relation. Students will…

  • interpret and execute the code on paper before using technology

  • open a pre-made Scratch program and modify the parameters for slope and y-intercept to see their effect

Student handout

The student handout includes:

  • Guided lesson prompts

  • Space for independent practice

  • Extension activities

  • Consolidation task

Optional Minds-On Question

C3.3 compare two linear relations of the form y = ax + b graphically and algebraically, and interpret the meaning of their point of intersection in terms of a given context

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