Today I observed Rheanna working with a Year 11 student on the topic of domain and range. The lesson was clear, structured, and very effective in helping the student understand what can often be a confusing concept.

Rheanna began by clearly defining both domain and range, making sure the student understood the difference between the two before moving into more complex questions. She used the board to map out functions and graphs, which provided a strong visual reference for the student. This made it easier to see how domain relates to possible x values and range to possible y values, rather than just treating them as definitions to memorise.

One of the strengths of the session was Rheanna’s ability to guide the student through questions step by step. She avoided rushing and instead worked through each example carefully, checking for understanding along the way. When the student was unsure, she broke the problem down further and used simpler examples to reinforce the idea before building back up.

Rheanna also encouraged the student to think independently. Rather than giving answers straight away, she asked questions such as what values would make sense in this context or what the graph was showing. This helped the student actively engage with the content and develop a deeper understanding.

Another positive was how she linked algebraic and graphical representations. By showing how domain and range appear both in equations and on graphs, she helped the student connect different areas of knowledge.

Overall, Rheanna delivered a strong lesson. Her clear explanations, use of visuals, and patient approach created a supportive environment where the student was able to build confidence and improve their understanding of domain and range.

Demetria Koutavas