Solving Multi-Step Linear Inequalities
Students will solve multi-step linear inequalities, including those requiring multiplication or division by negative numbers, and interpret their solutions.
Key Questions
- Justify why the inequality sign reverses when multiplying or dividing by a negative number.
- Analyze the implications of an inequality's solution in a practical context.
- Construct an inequality to model a real-world constraint or limit.
ACARA Content Descriptions
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
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 The Language of Algebra
Variables, Coefficients, and Constants
Students will identify and define key components of algebraic expressions, including variables, coefficients, constants, and terms, and practice writing simple expressions from verbal descriptions.
2 methodologies
Combining Like Terms
Students will combine like terms and apply the order of operations to simplify algebraic expressions, focusing on efficiency and accuracy.
2 methodologies
Distributive Law and Expanding Expressions
Students will apply the distributive law to expand algebraic expressions, including single term multiplication and basic binomial products.
2 methodologies
Expanding Binomial Products (FOIL)
Students will master the distributive law to expand binomial products, including perfect squares and difference of two squares, using visual models and the FOIL method.
2 methodologies
Factorising by Highest Common Factor
Students will reverse the expansion process by factorising algebraic expressions, focusing on finding the highest common factor.
2 methodologies