Generalising Patterns with Variables
Students will describe numerical and visual patterns using algebraic symbols and variables.
Key Questions
- Explain why a variable is more powerful than a specific number when describing a rule.
- Construct an algebraic expression to represent the nth term of a linear pattern.
- Compare different algebraic expressions that describe the same pattern.
ACARA Content Descriptions
About This Topic
Improvisation is the art of spontaneous creation and is a core component of the Year 7 Drama curriculum. The 'Yes, And' rule is the foundation of this topic, teaching students to accept their partner's ideas and build upon them. This fosters a collaborative environment where students learn to trust their instincts and their peers. Beyond just being 'funny,' improvisation develops essential life skills like active listening, adaptability, and creative problem-solving.
Students explore how to establish a 'Who, Where, and What' quickly and effectively. This connects to ACARA's emphasis on developing and sustaining roles and situations. Students grasp this concept faster through high-energy, collaborative games that reward risk-taking and focus on the 'group mind' rather than individual performance.
Active Learning Ideas
Inquiry Circle: The 'Yes, And' Chain
In a circle, students build a story one sentence at a time. Every sentence must start with 'Yes, and...' to ensure they are accepting the previous student's contribution and adding a new detail to the narrative.
Simulation Game: Environment Build
One student enters the 'stage' and performs a silent action to establish a setting (e.g., digging). One by one, others join in, performing related actions (e.g., planting, watering) until a complex, wordless scene is established.
Formal Debate: The Improv Referee
Two students perform a short scene. A third student acts as a 'referee' who can pause the scene and ask the audience to vote on whether the actors followed the 'Yes, And' rule or if they 'blocked' an idea.
Watch Out for These Misconceptions
Common MisconceptionImprovisation means trying to be as funny as possible.
What to Teach Instead
Trying to be funny often leads to 'blocking' or ignoring partners. Active exercises that focus on 'truthful' responses show students that humor naturally arises from the situation when they focus on the story instead.
Common MisconceptionYou should have a plan before you start a scene.
What to Teach Instead
Planning (or 'scripting') prevents you from listening to your partner. Active games that change the prompt mid-scene help students learn to stay in the moment and react to what is actually happening.
Suggested Methodologies
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Frequently Asked Questions
What does 'blocking' mean in improvisation?
How do I assess improvisation fairly?
How can active learning help students understand improvisation?
What are some good improv prompts for Year 7?
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Patterns and Variable Thinking
Identifying and Describing Patterns
Students will identify visual and numerical sequences and describe them using words.
2 methodologies
Creating Algebraic Expressions
Students will translate word phrases into algebraic expressions and vice versa.
2 methodologies
Evaluating Algebraic Expressions
Students will substitute numerical values into algebraic expressions and evaluate them.
2 methodologies
Introduction to Equations
Students will understand the concept of an equation as a balance and identify its components.
2 methodologies
Solving One-Step Equations (Addition/Subtraction)
Students will solve linear equations involving addition and subtraction using inverse operations.
2 methodologies