Additive Thinking and Mental Strategies · Term 2

Problem Solving with Multiplication & Division

Applying multiplication and division skills to solve real-world problems, including those with remainders.

Key Questions

  1. Analyze a word problem to determine whether multiplication or division is required.
  2. Construct a multi-step word problem that involves both multiplication and addition.
  3. Evaluate different strategies for solving a given multiplication or division word problem.

ACARA Content Descriptions

AC9M3N05
Year: Year 3
Subject: Mathematics
Unit: Additive Thinking and Mental Strategies
Period: Term 2

Suggested Methodologies

Problem-Based Learning

Tackle open-ended problems without predetermined solutions

35–60 min

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Case Study Analysis

Deep dive into a real-world case with structured analysis

30–50 min

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Decision Matrix

Evaluate options systematically against criteria

25–45 min

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Planning templates for Mathematics

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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.

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Math 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.

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Math 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 Additive Thinking and Mental Strategies

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Applying mental strategies like counting back, compensation, and bridging to subtract multi-digit numbers.

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Problem Solving with Addition & Subtraction

Solving one- and two-step word problems involving addition and subtraction, identifying key information.

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Introduction to Multiplication: Equal Groups

Understanding multiplication as repeated addition and forming equal groups using concrete objects.

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Arrays and Area Models

Visualizing multiplication through row and column structures to build conceptual understanding and link to area.

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Sharing and Grouping (Division Concepts)

Distinguishing between partition (sharing) and quotation (grouping) division contexts using concrete examples.

3 methodologies

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