ACARA Syllabus Indicators:
- Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technologies as appropriate (ACMNA239)
- Make connections between algebraic and graphical representations of exponentials, parabolas, and circles.
- Interpret graphs and tables of values.
Working Mathematically Skills:
- Describe and compare a variety of simple non-linear relationships (Communicating, Reasoning)
- Synthesise multiple viewpoints to relate key concepts (Fluency)
Activity One: Puzzle Card Match Up (10 min)
Students can work as they like for this activity. They will match up cards and reason to decide between pairs.
- Activity Two: Flayer Model x Jigsaw (LIT) (40 min, 20min for each step) [AFL]
- In six Expert groups students discuss and completes individual Flayer's models for one of these topics (teacher assigns one to each group):
- Quadratic relationships
- Exponential relationships
- Circular relationships
- X and Y Intercepts
- Orientation
- Then students 'jigsaw' into six new Collaboration groups so that there is one member of each Expert group in each Collaboration group. Students present their Flayer models, sharing their group's discussions.
Reiterate the key learning ideas for the lesson.
Lesson Evaluation Questions:
- Did all of your students understand and meet the learning goals?
- Were all students engaged and participating?
- Were the activities appropriate and relevant for the stage of my learners?
- What would you change about the activities next time?
Homework/Enrichment Activities:
"Present your Frayer's model to a friend or family member. Bonus points for not looking at the model while you do it."