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Mathematics Information Session
The Number Strand Early Stage One and Stage One Presented by Connie Sawyer & Emily Hewitt
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The K-6 Mathematics Syllabus
The K-6 Mathematics Syllabus is structured using: one process strand Working Mathematically and five content strands Number Patterns and Algebra Data Measurement Space and Geometry
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The Number strand The Number strand encompasses five sub-strands:
Whole Numbers Addition and Subtraction Multiplication and Division Fractions and Decimals Chance (no outcomes for ES1)
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Where do we begin? The ‘Best Start’ Numeracy Assessment provides Early Stage One teachers with a starting point. It helps teachers identify the numeracy knowledge and skills that each child brings to school as they enter Kindergarten. It enables teachers to plan appropriate learning experiences that make connections with existing mathematical understanding. Prior learning indicates pathways for further learning.
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Early Stage One Number
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Whole Numbers Outcome: Counts to 30, and orders, reads and represents numbers in the range 0 to 20 Count forwards to 30, from a given number Count backwards from a given number, in the range 0 to 20 Compare, order, read and represent numbers to at least 20 Read and use the ordinal names to at least ‘tenth’ Use the language of money
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Learning Tools:
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Addition and Subtraction
Outcome: Combines, separates and compares collections of objects, describes using everyday language and records using informal methods Combine groups to model addition Take part of a group away to model subtraction Record addition and subtraction informally
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Multiplication and Division
Outcome: Groups, shares and counts collections of objects, describes using everyday language and records using informal methods Model equal groups or rows Group and share collections of objects equally Record addition and subtraction informally
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Fractions and Decimals
Outcome: Describes halves, encountered in everyday contexts, as two equal parts of an object Divide an object into two equal parts Recognise and describe halves
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Stage 1 Number
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Whole Number – Key Ideas
Count forwards and backwards by ones, twos and fives Count forwards and backwards by tens, on and off the decade Read, order and represent two- and three-digit numbers Read and use the ordinal names to at least ‘thirty-first’ Sort, order and count money using face value
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Place Value Language: Hundreds, tens and ones. MAB blocks
Numeral expander
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Hundreds Chart
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Addition and Subtraction – Key Ideas
Model addition and subtraction using concrete materials Develop a range of mental strategies and informal recording methods for addition and subtraction Record number sentences using drawings, numerals, symbols and words
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The Language of Addition and Subtraction
plus sum total altogether in all take away minus difference less subtract how many more? how many remain? how many less?
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Jump Strategy
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Split Strategy
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Bridging to ten Step 2: Take from the second number to make the nearest ten: Step 1: = + + Step 3: = 27
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Multiplication and Division – Key Ideas
Rhythmic and skip count by ones, twos, fives and tens Model and use strategies for multiplication including arrays, equal groups and repeated addition Model and use strategies for division including sharing, arrays and repeated subtraction Record using drawings, numerals, symbols and words
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Multiplication 3 x 3 = Language of multiplication: Groups Rows/Arrays
Repeated addition = 9
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Division 16 ÷ 4 = Sharing into groups Sorting into arrays
Repeated subtraction -4 -4 -4 -4
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Fractions – Key Ideas Model and describe a half or a quarter of a whole object Model and describe a half or a quarter of a collection of objects Use fraction notation ½ and ¼.
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Working Mathematically
Students will develop knowledge, skills and understanding through inquiry, application of problem- solving strategies including the selection and use of appropriate technology, communication, reasoning and reflection. Five Interrelated Processes: Questioning Applying Strategies Reasoning Communicating Reflecting
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How to help Ensure that your child has a hundreds chart available to assist them with solving addition and subtraction problems Draw attention to the way house numbers are divided in streets – odd and even patterns Model appropriate use of mathematical language at home – limit the use of ‘big’ and ‘small’ Practice addition facts to 20 for faster recall Ask your child questions about numbers – what is the number before/after? What is 10 more than a number?
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