Students in Year Six should be able to understand decimal numbers and numbers up to one million. There are two sections in which number knowledge is broken into these include Formal and Informal. Formal is taught in primary school it combines reading, writing and understanding of numbers. Informal is when no mathematics skills are required, most informal math skills are based on everyday activities and requires no mental computation or basic calculations. Mental computation refers to ones understanding of operations the process surrounding the operation, it requires estimation and basic knowledge of number facts. Place value is the value of the number that is represented based on the position.
Concepts, Skills and Strategy:
Concept- The concepts in Place Value is that the place holder is always zero. It is multiplicative meaning it is associated with the mathematical operation of multiplication. The lines of symmetry pass through the ones house, the decimal point separates a whole number from a fraction.
Skill- The skills needed to place numbers correctly into Place Value columns are the ability to understand number, know basic number facts and have well rounded knowledge of the concept of operations.
Strategy- Obtain information and process accurately and efficiently. Use the 7 thinking strategies (count back, double/ half, use 10) : addition and subtraction as well as ( double 2x, 4x, 8x, counting x5 and x10, build up x3 and x6 and build down x9): multiplication and division.
Misconceptions:
The common misconception when it comes to Place Value is the inability to understand the value of the number when numbers are regrouped or renamed in an addition or subtraction problem. A misconception regarding place value in addition is that when students are given the number 35 + 26 their answers may equal 511, as they understand that 5+6= 11 and 3+2=5 therefore they add both columns separately and combine both numbers together getting the incorrect total of 511. This can happen when students do not yet understand the concept of Place Value.
Resources:
The Australian Curriculum ( ACARA) under the heading Number and Algebra subheading Number and Place value it states that they have to " Establish an understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20." Furthermore, it is critical in estimating and calculating whole numbers, recognising and using patterns and relationships, understanding use of number context. It develops their fluency with forwards and backwards counting and their understanding that numbers are said in a particular order and the pattern in which it is said.
Sourced Teaching Strategy:
( Blogger.com: http://twocandoit.blogspot.com/2012/05/place-value-and-telling-time.html )
Textbook Concept, Skills and Strategy:
The position of the digit represents its value the understanding of Place Value develops through counting and mental computation. Promoting number sense and resting on 2 main ideas which include: Explicit grouping or trading rules define and consistently followed and The position of a digit determines the number being represented. Prior knowledge of number and basic addition and subtraction, the ability to focus on the leading number is an important to number sense and estimation ( Reys. R, 2012).
References
Jamieson-Proctor, R. (2019). Learning Environment Online: Log in to the site. Retrieved from https://leo.acu.edu.au/mod/book/view.php?id=2406579&chapterid=190017
Jamieson-Proctor, R. (2019). Learning Environment Online: Log in to the site. Retrieved from https://leo.acu.edu.au/mod/book/view.php?id=2406579&chapterid=190018
Mathematics. (2019). Retrieved from https://www.australiancurriculum.edu.au/f-10-curriculum/mathematics/?strand=Number+and+Algebra&strand=Measurement+and+Geometry&strand=Statistics+and+Probability&capability=ignore&priority=ignore&year=11751&elaborations=true
Reys, R. (2017). Helping children learn mathematics (2nd ed., pp. 219,220, 227). Milton, Qld: Wiley.
Search - Scootle. (2018). Retrieved from http://www.scootle.edu.au/ec/search?accContentId=ACMNA001
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