Mental Calculation Focus

Overview

This 45-minute personalised maths session is designed for a Year 5 student, Georgia, who is developing fluency in all four operations but requires targeted support in mental calculation strategies. The session will closely follow the Australian Curriculum (v9) for Year 5 Mathematics, focusing on strengthening automatic recall, mental strategies for addition, subtraction, multiplication, and division, and conceptual understanding particularly in multiplication and division. This plan integrates scaffolded activities, dyslexia-friendly practices, and differentiated approaches to reflect Georgia’s current learning needs.

Curriculum Alignment

AC9M5A01: Recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts.
AC9M5A02: Find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations.
AC9M2N05 (relevant foundation concepts recap): Multiply and divide by one-digit numbers using repeated addition, equal grouping, arrays, and partitioning.
AC9M5N06: Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies.
AC9M5N08: Check and explain the reasonableness of solutions to problems using estimation strategies appropriate to the context.

Learning Objectives

By the end of the session, Georgia will be able to:

Apply mental calculation strategies to solve addition and subtraction problems without relying on finger counting.
Use skip counting effectively to support multiplication recall and make fewer miscalculations.
Understand division as sharing and represent division problems through drawing or physical materials.
Recognise the inverse relationship between multiplication and division to build multiplication and division fact families.
Develop confidence in starting and solving division problems by visualising and modelling.

Success Criteria

Georgia can solve addition and subtraction problems using mental strategies such as partitioning or bridging without finger counting.
Georgia accurately uses skip counting in sequences for multiplication facts, with reduced errors.
Georgia draws pictorial representations to solve division problems and explains the concept of sharing.
Georgia identifies related multiplication and division facts within fact families.
Georgia verbalises reasoning and demonstrates understanding through practical activities.

Resources

Counters or small objects for grouping and sharing
Number lines and 100-chart with clear, dyslexia-friendly fonts and colours
Visual array cards (e.g., 3x4, 5x2)
Whiteboard and markers with high contrast colours
Worksheets with clear spacing, large fonts, and colour cues
Visual step-by-step instruction cards for mental strategies
Timer or stopwatch for short mental calculation rounds
Graphics or storyboards featuring sharing and grouping scenarios

Lesson Structure

Time	Activity	Description	Differentiation & Support
0-5 mins	Introduction and Warm-up	Brief chat to connect and set goals. Use a quick mental addition and subtraction game with number cards to assess current strategies.	Use simple numbers and give extra thinking time. Visual prompts to encourage mental recall (number line).
5-15 mins	Mental Addition & Subtraction Strategies	Teach and practise strategies such as partitioning (breaking numbers into tens and ones), bridging to 10, and using doubles/near doubles. Use think-aloud modelling and guided practice with sample problems.	Provide step-by-step visual cards illustrating each strategy. Scaffolded prompts "What can you add first?" Offer supportive cues for dyslexic learners such as colour-coded numbers or chunked instructions.
15-25 mins	Multiplication Fluency with Skip Counting	Use counters and number lines to help Georgia solidify skip counting by 2s, 3s, 5s, and 10s. Connect skip counting with multiplication facts, correcting miscalculations with deliberate practice and feedback. Include a skip counting song or rhythm exercise to reinforce patterning.	Utilise multi-sensory approach: physically tap/count while chanting. Use coloured counters and number lines to reduce visual confusion. Allow Georgia to explain her thinking to promote verbalisation.
25-35 mins	Division as Sharing	Introduce division through the concept of "sharing equally." Use counters or drawing to represent sharing problems, encouraging Georgia to draw pictures as her first approach. Guide her gently to link drawings with number sentences (e.g., 12 ÷ 3 = 4). Use real-life story contexts.	Encourage drawing or physical materials for representation. Use simple, relatable contexts (sharing fruit). Break steps into manageable chunks with visual supports.
35-40 mins	Fact Families & Inverse Operations	Use arrays and fact family triangles to show how multiplication and division facts are linked. Present facts such as 3 x 4 = 12, 12 ÷ 3 = 4, 12 ÷ 4 = 3. Engage in a matching game.	Use colour-coded fact family diagrams. Provide oral and written explanations. Celebrate accurate recall.
40-45 mins	Review, Reflection & Closing	Summarise key points. Ask Georgia to explain what she learned or found helpful today. Set a simple home challenge related to facts practice. Provide positive feedback.	Use visual feedback charts. Offer a choice of take-home materials (written or pictorial). Brief, focused review to support retention.

Teaching Strategies & Differentiation

Multi-sensory Learning: Incorporate visual, auditory, and tactile elements, e.g., tapping while counting, drawing, physical counters.
Chunking Information: Break instructions into bite-sized steps, with clear headings and line spacing.
Visual Supports: Use arrays, diagrams, number lines with dyslexia-friendly fonts and colours (high contrast, pastel backgrounds).
Scaffolded Questions: Use prompts to guide thinking, e.g., “What comes next?”, “How many groups can you make?”
Practice & Immediate Feedback: Provide tasks with instant correction to avoid consolidating errors.
Language Simplicity: Use clear, concise language, avoid jargon, and repeat key vocabulary.
Adjust Pace: Allow thinking time, slow transitions, and repeat instructions as needed.

Dyslexia-Friendly Considerations

Use dyslexia-friendly fonts such as Arial or Comic Sans in teaching materials.
Present tasks with ample spacing between numbers and lines.
Use colour-coding to differentiate number types (e.g., tens in blue, ones in orange).
Avoid cluttered pages; present one problem or concept per screen/page.
Incorporate oral explanations and encourage verbal expression.
Use icons and pictograms to represent operations (+, –, ×, ÷).
Repeat instructions and check comprehension frequently.

Assessment and Monitoring

Observation during mental calculation activities: note strategy use and reliance on finger counting.
Accuracy in skip counting sequences and multiplication fact recall.
Ability to represent division as sharing through drawings and materials.
Explanation of fact family relationships.
Informal questioning throughout to gauge understanding and confidence.

This lesson plan offers a focused, personalised approach to build Georgia’s fluency and confidence in mental calculation, addressing the specific concerns raised in the report while aligning with Australian Curriculum v9 standards and best practice instructional approaches for diverse learners.

Teaching Instructions