MTH1W:

Algebra

C4. Characteristics of Relations

C4.1 compare characteristics of graphs, tables of values, and equations of linear and non-linear relations

C4.2 graph relations represented as algebraic equations of the forms x = k, y = k, x + y = k, x – y = k, ax + by = k, and xy = k, and their associated inequalities, where a, b, and k are constants, to identify various characteristics and the points and/or regions defined by these equations and inequalities

This interactive teacher-led Desmos activity, students will explore 2-variable inequalities and begin to make connections between their graphical representations and corresponding linear equations.

Key features:

  • Students will modify existing Scratch code to explore a variety of graphical inequalities

  • Built-in consolidation tasks

  • Includes a printable PDF, linked here, with teacher tips and space to jot your prompts, reflections, observations, etc.

  • This activity can be saved and edited to suit your needs and preferences before assigning.

Linear Relations and Inequalities

In this ministry-devlopeed lesson, students explore linear relations and inequalities by matching and creating relationships represented in variety of ways. Key features include…

  • interactive hands-on activity

  • connections between graphs, equations, tables, and descriptions

  • promotion of pattern recognition, critical thinking, and algebraic reasoning with guided prompts and collaborative work

  • links to supporting files (printable task cards, etc.)

  • connects C4.1 and C4.2

C4.3 translate, reflect, and rotate lines defined by y = ax, where a is a constant, and describe how each transformation affects the graphs and equations of the defined lines

C4.4 determine the equations of lines from graphs, tables of values, and concrete representations of linear relations by making connections between rates of change and slopes, and between initial values and y-intercepts, and use these equations to solve problems

In this fun and challenging activity, students will manipulate equations of lines in slope-intercept form to make ramps that guide the falling marbles to capture the stars.

  • Students will test their ideas by launching the marbles and will have a chance to revise before trying the next challenge.

  • Includes a printable PDF, linked here, with teacher tips and space to jot your prompts, reflections, observations, etc.

  • This activity was created and shared by Desmos Classroom.

  • It can be saved and edited to suit your needs and preferences before assigning.

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