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Use this website with Beverley Paine's Getting Started with Home Schooling - Practical Considerations to help you develop your own educational curriculum to suit your family situation, beliefs and lifestyle.
The checklists can help you identify your children's current educational skill level in each subject area, as well as find any 'gaps' in their learning, plan what they need to cover or keep track of what has been learned. |
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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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Home education is a legal alternative
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State governments are responsible
for regulating home education.
Different states have different
requirements, however
homeschooling families are able
to develop curriculum and learning
programs to suit the individual
needs of their children.
For more information:
Home Education Association
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Copyright © 1999-2008
Beverley Paine.
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Please note:
The information on this website is of a general nature only and is not intended as personal or professional advice.
Pioneering 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 several books and booklets on home education through her self-publishing business, Always Learning Books. Beverley balances spending time helping home educators with working in her garden and renovating her home, as well as continuing to build her collection of ebooks on a variety of homeschooling subjects. retired from actively supporting home education in July 2008 to allow her to spend time on her garden and writing projects. She maintains an extensive collection of websites as well as several Yahoo groups supporting families teaching their children at home. Beverley continues to support the Home Education Association of Australia as a committee member and helps to produce the HEA Newsletter, publications and annaul Resource Directory. If you'd like to keep in touch with what Beverley is up to her in her life, sign up for either the Always Learning Books mailing list or the Homeschool Australia Newsletter.