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
- 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.
Was this article helpful? Was it worth $1.00 to you?
Your gift of $1 or more helps to keep this site operating
and reassurance to families
better outcomes for their children.
Beverley Paine with her children, and their home educated children, relaxing at home.
Together with the support of my family, my aim is to help parents educate their children in stress-free, nurturing environments. In addition to building and maintaing this website, I continue to create and manage local and national home educating networks, help to organise conferences and camps, as well as write for, edit and produce newsletters, resource directories and magazines. I am an active support of national, state, regional and local home education groups.
"You've been an inspiration to me, I love the way
you really listen to people." Vanessa
"Whenever I read your writing I always come away
with increased confidence in my ability to provide and
share a wonderful learning journey with my family!" Davina
"Your guidance, understanding, support and words of
wisdom changed our lives. We now offer support and
organise many homeschooling events for others." Lesley
"Thank you once again for your prompt and friendly service.
I am convinced that your books are going to add
quality and peace of mind to my journey of teaching my kids
at home! Just from studying your website, until almost
in the morning, I 've been encouraged!" Louisa
"Thank you for all your many,many reassuring words
over many, many years. You probably don't know exactly how
valuable you are to the Australian Home Education community.
I've been reading your stuff for maybe 8 years or more now.
And I'm very grateful." Gythaa
I am currently giving this site a much needed facelift!
If you experience difficultiess accessing any page can you
please email me the link? Thank you.
Welcome to the
World of Home Education and
Learning without School!
We began educating our children in 1985, when our eldest was five. In truth, we had helped them learn what they need to learn since they were born. I am a passionate advocate of allowing children to learn unhindered by unnecessary stress and competition, meeting developmental needs in ways that suit their individual learning styles and preferences. Ours was a homeschooling, unschooling and natural learning family! There are hundreds of articles on this site to help you build confidence as a home educating family. We hope that your home educating adventure is as satisfying as ours was! Beverley Paine
The information on this website is of
a general nature only and is not intended
as personal or professional advice.
This site merges and incorporates 'Homeschool Australia' and 'Unschool Australia'.
Advertise with The Educating Parent
||DIY Getting Started with Home Schooling Pack
Beverley Paine's best selling comprehensive common sense manual detailing how to write your own curriculum tailored to your children's educational needs
PLUS 9 of Beverley's popular practical home educating series booklets!
Great value $60
and Unschooling Pack
Each Pack contains a copy of the following:
Natural Learning Answers
A5 or A4
Learning Naturally Diary
Learning Maths Naturally
A Sample Approved Natural Learning Program and Review
Only $29 or $33
Home education is a legal alternative
to school education in Australia.
State and Territory governments are responsible
for regulating home education and have different
requirements, however home educating families
are able to develop curriculum and learning programs
to suit the individual needs of their children.
Without revenue from advertising
by educational suppliers and Google Ads
we could not continue to provide information
to home educators. Please support us by letting
our advertisers know that you found them on
The Educating Parent. Thanks!