Mental Strategies Archives

Strand	Number Algebra Measurement Space Statistics and Probability Professional Reading Problem Solving
Year	Year 5 Year 6 Year 7 Year 2 Year 3 Year 8 Year 4 Foundation Year Year 1 Year 9 Year 10 Maths A Maths B
Numeracy Strategy	Multiplication and Division Triangle Act it Out Part-Part-Whole Look for a pattern Additive to Multiplicative Thinking Benchmarking See the Parts to match the whole Number Line Tables and Graphs Draw a diagram Visualisation Find the Pattern Draw what you can't see Mental Strategies Various
Mathematics Concepts	Repeat equal groups Division with a remainder Place value Division without a remainder Prime numbers Euler's Law Prisms and Pyramids and their nets Geometric properties/reasoning Relationship between faces, vertices and edges in 3D shapes Counting Naming numbers Partitioning Patterns Subitising Counting on Addition Number line Doubling Early multiplication Area and perimeter of squares and rectangles Fractions Four operations Time Large numbers x^2 Money Arrays Multiplication Measurement Skip Counting Algebra Timelines Multi step problems Metric conversions Cross curricular links to maths Geometric properties Angle size Side length Transformations Index notation Mathematical metaphors Fibonacci sequence Circles Spheres Regular polygons Polyhedra Pythagoras' theorem Angles Geometry Ratio Proportion Averages Estimation Vocabulary Problem Solving 3D Shapes Puzzles Rate 4 Operations Mass Data Representation and Visualisation Speed (MPH)Probability Addition and Subtraction Division Various

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The Great Divide: A mathematical marathon

Dayle Ann Dodds

Strand
Number

Australian Curriculum Year Level
Year 5, Year 6, Year 4

Numeracy Strategy
Mental Strategies

Maths Concepts

Division

Australian Curriculum: Description

This book contextualises division using a cycling marathon. Students can mentally calculate how many racers are left after each mishap then check as they turn the pages.

Teaching ideas

(1) Have students develop their own context/idea/story for division, have them see if their elbow partner can mentally calculate the correct answer; (2) Have students use numbers and symbols to represent the number sentences in the story