Solving Linear Equations
Solving single and multi-step linear equations, including those with variables on both sides.
Key Questions
- Justify each step in solving a multi-step linear equation.
- Compare the process of solving an equation with isolating a variable in a formula.
- Predict the impact of a coefficient on the solution of a linear equation.
ACARA Content Descriptions
Suggested Methodologies
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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.
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Revisiting fundamental algebraic concepts including operations with variables and basic equation solving.
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Expanding Binomials and Trinomials
Applying the distributive law to expand products of binomials and trinomials, including perfect squares.
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Factorizing by Common Factors and Grouping
Identifying and extracting common factors from algebraic expressions and applying grouping techniques.
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Factorizing Quadratic Trinomials
Mastering techniques for factorizing quadratic expressions of the form ax^2 + bx + c.
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Difference of Two Squares and Perfect Squares
Recognizing and factorizing expressions using the difference of two squares and perfect square identities.
2 methodologies