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Getting Started with
Home Schooling:
Practical Considerations

 
   
 

Mathematics - Number

Although this list is presented in relative order, remember that there will be considerable overlap and your child won't necessarily learn these skils in the order below. For example, a child will become familiar with simple equivalent fractions and be introduced to the written form of representing fractions before she will be able to convert decimals to fractions.

It was always my policy to interchange when talking about such maths concepts: eg, I'd talk about half being the same as 50% or five tenths and try to use all three terms if appropriate. My son might half half a dollar or 50 cents. 5c is a twentieth of a dollar, which means he'd need 20 five cent pieces to make up a dollar.

  • Recognise and make groups of numbers up to 5, then 10
  • Match numerals to groups of objects up to 5, then 10
  • Estimation up to 5, 10
  • Ordinal numbers to 10
  • The number line to 10
  • As above to 20, 50, then 100
  • Match two groups of objects - equality, inequality, greater than, less than
  • Meaning of addition
  • Introduce symbols +,=
  • Record number sentences
  • Adding numbers, single and double digits, lists
  • Place value
  • Exchanging tens and units
  • Introduce symbol -
  • Complementary addition
  • Factors of numbers
  • Prime numbers
  • Square numbers
  • Read, write, order numbers to 1,000,000
  • Triangular numbers
  • Cubic numbers
  • Averages
  • Power notation
  • Multiplication symbol x
  • Multiplication facts 1-9
  • Facts involving 0
  • Multiplication to 6 by 3 digits
  • Estimation and sampling
  • Meaning of division
  • Introduce division symbol
  • Relationship between grouping and sharing
  • Division facts 1-9
  • Division with and without remainders
  • Introduce decimal notation
  • Exchange tenths to hundredths
  • Addition and subtraction of decimals
  • Read and write place value
  • Express decimals as fractions
  • Rounding off
  • Multiplication and division of decimals
  • Correct to 3 decimal places
  • Fractions - equal parts
  • Halves, quarters, tenths, etc
  • Equivalent fractions
  • Mixed numbers
  • Improper fractions
  • Order fractions
  • Lowest common denominator
  • Addition and subtraction of fractions with common denominator
  • Addition , subtraction of mixed numbers
  • Order and compare fractions
  • Addition, subtraction different denominator
  • Percentage and ratio
  • Conversion - decimals to fractions
  • Equivalent ratio
  • Percentage of quantities
  • Ratios expressed as percentage

This checklist is taken from Chapter 9 Checklists in Getting Started with Hoemschooling Practical Considerations by Beverley Paine, available from Always Learning Books.

 

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photo of Beverley and Robin PainePioneering members of the home education movement in Australia, Beverley and Robin Paine are passionate advocates of true educational choice for families. They began homeschooling their children in 1986 and three years later started the South Australian Home Based Learners network. Beverley wrote Getting Started with Homeschooling in 1995-97 and since then continues to write books and booklets on home education. She balances spending time helping home educators with working in her garden and renovating her home, as well as continuing to build her collection of writing on a variety of homeschooling subjects. Beverley maintains an extensive collection of websites as well as several Yahoo groups supporting families teaching their children at home. In 2007 Beverley joined the HEA and became a committee member in 2008: she also edits and produce the HEA Newsletter, HEA magazine, Stepping Stones for Home Educators, annual Resource Directory and other HEA publications. If you'd like to keep in touch with what Beverley is up to her in her life, sign up for the Homeschool Australia Newsletter or visit her Homeschool AustraliaFacebook page.

 
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