📚 Unit Plans → 🌍 Year 9 Algebra — Te Tātai Tauira → 📖 Lesson 1: Pattern Detectives
Years 9–10 Pāngarau / Mathematics

Lesson 1: Pattern Detectives

Show students a simple sequence of numbers (e.g., 2, 4, 6, 8, __) and shapes (e.g., triangle, square, pentagon, __). In pairs, students discuss what...

Starter (10 mins)

What's Next?

Show students a simple sequence of numbers (e.g., 2, 4, 6, 8, __) and shapes (e.g., triangle, square, pentagon, __). In pairs, students discuss what comes next and what the "rule" is. Share ideas as a class.

Main Activity (25 mins)

Pattern Detective Agency

Hand out the "Pattern Detectives" worksheet. Students work in small groups (their "agencies") to solve the pattern mysteries. Each case presents a different type of pattern (arithmetic, geometric, repeating, etc.).

Differentiation: The "Extra Challenge" case involves a two-step rule for gifted learners. Provide number lines or blocks for students needing more support.

View Handout

Plenary (15 mins)

Connecting to Our World

Discuss: Where do we see patterns in the real world? (e.g., seasons, tides, music, art). Introduce the concept of tukutuku panels and how they are built on repeating patterns. Show examples and discuss the mathematical rules they might follow.

Connection to Te Ao Māori: This links mathematical patterns to cultural design and storytelling, showing that algebra is a way of describing the world around us.

Media Anchor (8-10 mins)

Video anchor: Recognising arithmetic and geometric patterns

Use this clip to model how to spot the growth rule before students tackle pattern cases.

Pause and discuss: Which cue in the sequence tells us whether the rule is additive or multiplicative?

Transfer task: Students capture one method from the video and apply it to the first question in the next activity.

Resources Needed

📋 Teacher Planning Snapshot

Ngā Whāinga Ako — Learning Intentions

Students will develop algebraic thinking and pattern recognition (tātai tauira) through te ao Māori contexts, connecting mathematical reasoning to cultural and real-world problem-solving in Aotearoa.

Ngā Paearu Angitū — Success Criteria

  • ✅ Students can identify, describe, and extend patterns using algebraic notation.
  • ✅ Students can explain their mathematical reasoning and connect it to real-world contexts.

Differentiation & Inclusion

Scaffold support: Provide concrete materials and visual representations before moving to abstract notation. Offer entry-level tasks using number patterns, and extension challenges involving proof or generalisation for capable learners.

ELL / ESOL: Pre-teach key mathematical vocabulary (variable, expression, equation, pattern). Allow diagrams and tables as alternate representations. Bilingual glossaries recommended.

Inclusion: Neurodiverse learners benefit from structured step-by-step templates and multiple representations (visual, numeric, algebraic). Avoid time pressure on procedural tasks.

Curriculum alignment