Portfolio Builder

Overview

Students begin compiling a personal portfolio of solved algebra problems and brief reflections linking maths to everyday situations and future pathways. This lesson consolidates earlier “Algebra in Everyday Life” learning by practising key skills, then storing work in an organised, reusable way for revision and job-readiness goals (keeping track, reflecting, and setting next steps).

Learning intentions

Students will:

• solve a short set of algebra problems using appropriate algebraic techniques for expressions and algebraic fractions
• check solutions by substituting values or using inverse operations
• write a short reflection explaining what they did, what helped, and what they will practise next
• organise portfolio evidence neatly so it is easy to study later

Success criteria

Students can:

• correctly simplify or expand/factorise at least 2 algebra expressions (with teacher support if needed)
• solve 1 algebraic fraction task and explain the step that makes it simpler
• use a checking method (substitution or “go-back” reasoning) for one question
• complete a reflection with: “I learned… / I did… / Next time I will…”

Curriculum links

• MA5-ALG-P-02: students select and apply appropriate algebraic techniques to operate with algebraic fractions and expand/factorise/simplify algebraic expressions
• MA5-ALG-P-01: students simplify algebraic fractions and expand/factorise algebraic expressions including factorising by common factors and expanding binomials
• MA4-ALG-C-01 (as needed for foundational learners): generalise number properties to create, evaluate, expand and factorise algebraic expressions
• Cross-curriculum: Numeracy and self-management (planning, organising work, monitoring progress)

Lesson structure (45 minutes)

1. 0–5 min · Warm-up (retrieval + routine). Teacher displays 3 “starter” items: one simplify, one expand (e.g., ((x+3)(x+2)) simplified), one factor out a common factor. Students choose either Part A (easier) or Part B (harder) and work quietly; teacher circulates using prompts.

2. 5–12 min · Model the portfolio format. Teacher shows a sample portfolio page with headings: Question, Working, Answer, Check, Reflection. Teacher models one solved question step-by-step, explicitly naming the technique (e.g., “factorise by taking out the common factor” or “expand using distributive law”). Students complete a “matching” task: they match words to steps (simplify / expand / factorise / check).

3. 12–28 min · Guided practice: portfolio evidence creation. Students rotate through two stations on the same worksheet set:

• Station 1: “Expressions for everyday costs” (simplify/expand/factorise). Students record the final clean answer and one sentence of reflection.
• Station 2: “Algebraic fraction for a recipe or budget” (numerator is a binomial, denominator numerical). Students simplify and then check by substituting one value for the variable. Teacher uses a worked example + fade support approach: show the first line, do the second together, then students finish remaining lines. Behaviour support: clear time limits, first-then prompts, and brief movement breaks as needed.

4. 28–38 min · Reflection and goal-setting (careers link). Students complete a short reflection card tied to employability skills: I can keep track of my work and I can explain my thinking. Teacher prompts using sentence starters (dyslexia-friendly options provided below). Students set one “next practice” goal for the next lesson (e.g., “I will practise checking answers by substitution”).

5. 38–45 min · Exit check (portfolio mini-audit). Teacher uses a quick checklist:

• correct answer for at least one item
• one checking method completed
• reflection completed Students submit their page(s) and receive a sticker or stamp for the portfolio.

Resources

• Printed portfolio template pages (with large boxes for Working/Check/Reflection)
• Differentiated worksheets: Part A (foundational), Part B (core), Part C (advanced)
• Coloured pencils or highlighters (one colour for steps, one for final answer)
• Substitution table cards (e.g., choose x = 1, 2, -1)
• Number line/algebra tiles (for early learners to visualise terms)
• Timer cards for station transitions
• Optional: speech-to-text or teacher scribing sheet for reflections
• Dyslexia-friendly sentence starter cards (laminated)

Assessment

• Formative during stations: teacher records accuracy and strategy use (simplify/expand/factorise/check)
• Reflection card review: whether students identify technique and next goal
• Exit mini-audit checklist: completed portfolio sections and at least one correct response

Differentiation

• Support for foundational learners (working below level):
• provide Part A with fewer terms, scaffolded steps, and algebra tiles or term cards
• sentence starters with visual cues (e.g., icon for “I checked by substituting…”)
• allow copying from a model checklist for the first attempt, then remove one scaffold line next time
• For students needing behaviour/mental health support:
• explicit step-by-step task breakdown with “First–Then” instructions
• short, predictable transitions with a visual timer
• calm, low-demand choice: choose Part A or Part B first, then attempt one additional question if ready
• Dyslexia-friendly reading options:
• teacher reads questions aloud before independent work
• provide simplified question wording on the scaffold sheet
• allow audio responses for reflections or teacher scribing
• Extension for advanced learners:
• include a mixed task: expand then factorise the result, and simplify an algebraic fraction that includes a binomial numerator
• require an “explain the technique” reflection: identify which algebra rule was used and why it works