Year Levels: 7-10

Duration: 45 minutes

Class Size: 20 students

Unit: Algebra in Everyday Life

Lesson: 28 of 30

Lesson Title: Final Portfolio Presentations

Learning Objectives

Aligned with the NSW Mathematics Syllabus for Years 7-10, this lesson aims to:

Demonstrate knowledge and skills in algebra by presenting personal portfolios representing real-world applications of algebraic concepts.
Communicate mathematical ideas clearly using appropriate language and representations.
Reflect on and consolidate learning of algebraic expressions, formulas, solving equations, and modelling from the unit "Algebra in Everyday Life."
Develop confidence in oral communication and presentation skills in a supportive learning environment.

This addresses outcomes related to:

Using algebraic expressions and formulas to represent and solve problems, including substitutions and solving simple equations (Years 7-8).
Describing and explaining the effect of changing parameters in algebraic contexts (Years 9-10).
Using digital tools for modelling and presentations.

This aligns with the NSW Mathematics K-10 Syllabus outcomes such as:

MA5.1–MA5.6 (Years 7-10 algebra-related outcomes) focusing on solving and interpreting linear equations and formulas, modelling with algebra and real-life applications, and communicating mathematical thinking effectively.

Resources Needed

Students’ algebra portfolios (paper or digital format) prepared in prior lessons
Whiteboard or projector for teacher facilitation and timekeeping
Assessment rubrics for portfolio presentation
Visual supports: clear printed prompts, step-by-step checklists, graphic organisers
Timer (to manage speaking time per student)

Lesson Structure

1. Introduction and Warm-up (5 minutes)

Begin with a calm, positive circle discussion: "What are some ways algebra helps us in everyday life?"
Briefly remind students of the key algebra concepts covered in the unit.
Explain the purpose of today’s presentations: to share what they have learned and how they can use algebra outside school.
Set clear expectations for respectful listening and support among classmates.

Differentiation & Engagement: Use visual cues and a concrete example (e.g., using formula to calculate shopping discounts) to connect algebra to authentic contexts they can relate to.

2. Portfolio Presentations (30 minutes)

Each student presents their personal portfolio for approximately 1.5 minutes.
Suggested presentation content:
A brief description of their portfolio’s focus (e.g., calculating costs, using formulas to plan something practical)
Key algebraic skills demonstrated (writing expressions, substituting values, solving equations)
Real-life connection and why it matters to them
Allow option for students to present with support:
Partner presentation
Use of visual aids or notes (large fonts, colour coding, dyslexia-friendly formatting)
Recorded presentations if preferred and feasible
Teacher facilitates and guides discussion, asking clarifying questions and praising efforts with specific feedback.
Peer encouragement encouraged; model positive language around effort and mathematical thinking.

Differentiation: For students with high support needs: allow extra scaffolding, reduced verbal demands (e.g., presenting one key slide or example only), or use assistive technology as needed.

Dyslexia-friendly reading options: Ensure any written prompts or student notes use clear fonts (e.g., Arial or Comic Sans), larger print sizes, and colour contrast to reduce visual stress.

Extension for advanced learners: Encourage explanation of how changing variables affect outcomes or have them compare different algebraic models within their portfolio. They can also address potential errors/limitations in their models.

3. Reflection and Feedback (5 minutes)

Conduct a whole-class reflection:
What was one new thing you learned from your classmates?
How can algebra help you in your goals beyond school?
Provide a feedback sheet or two stars and a wish format for the class to share positive comments and suggestions for improvement in a supportive manner.
Teacher summarises key takeaways and highlights the importance of algebra skills for everyday problem-solving and career readiness.

Assessment and Reporting

Formative assessment through observation during presentations focusing on:
Ability to explain algebraic concepts in personal contexts
Use of appropriate mathematical language and notation
Engagement with audience and clarity of communication
Use a simple rubric considering content knowledge, communication skills, and real-life application demonstration.

Additional Differentiation Strategies

Use of timers and visual schedules to support students with anxiety or executive functioning difficulties.
Allow breaks or alternate presentation order for students needing more time to prepare emotionally and cognitively.
Collaborate with a support teacher or aide for students requiring individualised assistance.
Pre-teach any vocabulary-based task before presentations for smoother delivery.

Cross-Curricular Connections

Careers Education: Connecting algebra skills to workplace problem-solving and project planning.
Communication: Developing oral presentation skills, appropriate workplace communication and self-expression.
Personal Development: Encouraging self-awareness, respect, and maturity in speaking and listening contexts.

This lesson plan transforms the final portfolio presentation into a meaningful, inclusive, and authentic celebration of learning. It connects mathematical understanding to students’ lives and futures, building confidence and competence while addressing diverse learning needs and abilities in line with the NSW Curriculum.

Portfolio Presentations

Teaching Instructions