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17 Kings and 42 Elephants
Maths Concepts
Australian Curriculum: Description
Subitise small collections of objects (ACMNA003)
Teaching ideas
Counting on with and without distractors in routine and non-routine environments
The King’s Chessboard
Strand
Number
Australian Curriculum Year Level
Year 7
Multiplication and Division Triangle
Maths Concepts
Australian Curriculum: Description
Introduce the concept of variables as a way of representing numbers using letters (ACMNA175)
Teaching ideas
Explore the concept if the wise man had asked for one gain on the first day, three on the second day, nine on the third day etc (x^3). How quickly would she have reached 1 billion grains?
Matherpieces: The Art of Problem-Solving
Strand
Number
Australian Curriculum Year Level
Year 2, Year 3, Foundation Year, Year 1
Maths Concepts
Australian Curriculum: Description
Subitise small collections of objects (ACMNA003); Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015); Describe, continue, and create number patterns resulting from performing addition or subtraction
Teaching ideas
Students investigate other situations involing subitising and counting on with and without distractors in routine and non-routine situations. Students could write the number sentences represented by art in this book (representational to abstract).
Inchworm and a Half
Strand
Measurement
Australian Curriculum Year Level
Foundation Year, Year 1
Benchmarking
Maths Concepts
Australian Curriculum: Description
Use direct and indirect comparisons to decide which is longer, heavier or holds more, and explain reasoning in everyday language (ACMMG006); Measure and compare the lengths and capacities of pairs of objects using uniform informal units (ACMMG019)
Teaching ideas
Measuring other lengths using concrete materials, e.g. string. Explain the history of what sea speed is measured in knots (concrete idea for measuring an abstract concept)
A place for zero
Strand
Number
Australian Curriculum Year Level
Year 2, Year 3, Foundation Year, Year 1
Maths Concepts
Australian Curriculum: Description
Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point (ACMNA001); Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond (ACMNA002); Yr1-Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line (ACMNA013); Yr2-Recognise, model, represent and order numbers to at least 1000 (ACMNA027); Yr3-Recall multiplication facts of two, three, five and ten and related division facts (ACMNA056)
Teaching ideas
Explore adding numbers up to 10 then beyond and up to 900. Explore adding and multiplying by 0. Conduct some experiments with 'numberator' and 'multi-tube'.
One Hundred Hungry Ants
Strand
Number
Australian Curriculum Year Level
Year 2
Multiplication and Division Triangle
Maths Concepts
Australian Curriculum: Description
Recognise and represent multiplication as repeated addition, groups and arrays
Teaching ideas
Explore other configurations they could have marched in. What if there had been 200 ants. What would their quickest configuration have been?
The Boy who Loved Math
Strand
Number
Australian Curriculum Year Level
Year 7
Multiplication and Division Triangle
Maths Concepts
Australian Curriculum: Description
Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)
Teaching ideas
Used as an introductory tool for prime numbers and also collaborative work.
Caps for Sale
Australian Curriculum: Description
Recognise, describe and order Australian coins according to their value (ACMNA017); Investigate and describe number patterns formed by skip-counting and patterns with objects (ACMNA018)
Teaching ideas
Explore a more reasonable price for a cap in todays times. Explore cap patterns
Window
Maths Concepts
Australian Curriculum: Description
Year 2 – Describe patterns with numbers and identify missing elements (ACMNA035); Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences (ACMNA026)