Welcome to The Educating Parent Beverley Paine's archive of articles about homeschooling and unschooling written over a period of 30 plus years

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Year 8 Mathematics Checklist - What to Learn


  • The number system
  • Rounding and estimation
  • Operating with numbers
  • Square numbers and square roots
  • Order of operations


  • Turning
  • Measuring angles
  • Classifying and naming angles
  • Complementary and supplementary angles
  • Angles in a revolution
  • Bisecting angles
  • Constructing 90° angles to a line
  • Plane shapes
  • Points and lines


  • Opposites
  • Directed numbers and the number line
  • Using a number line to add and subtract
  • Rules for adding and subtracting
  • Multiplying directed numbers
  • Dividing directed numbers
  • Combined operations
  • Using your calculator


  • Divisibility rules
  • Factors of natural numbers
  • Index notation
  • Multiples of natural numbers
  • Number patterns


  • Geometric patterns
  • Symbols in algebra
  • Number crunching machines
  • Substituting into formulae
  • Using patterns


  • Representing fractions
  • Improper fractions and mixed numbers
  • Placing fractions on a number line
  • Equal fractions
  • Comparing fraction sizes


  • Place value
  • Ordering decimal numbers
  • Adding and subtracting decimal numbers
  • Multiplying and dividing by powers of 10
  • Multiplying decimal numbers
  • Dividing decimal numbers
  • Terminating and recurring decimals
  • Decimal approximations


  • Solids
  • Nets of solids
  • Drawing solids
  • Plans
  • Paper modelling


  • Length
  • Perimeter
  • Circumference
  • Areas of polygons
  • Areas of circles


  • Volume
  • Capacity
  • Mass
  • Time


  • Building expressions
  • Expressions with two pronumerals
  • Simplifying expressions with like terms
  • Algebraic products
  • Evaluation of algebraic expressions
  • The distributive law
  • Factorisation


  • Adding fractions
  • Subtracting fractions
  • Multiplying fractions
  • Reciprocals
  • Dividing fractions
  • Problem solving
  • Operations with rational numbers


  • Understanding percentages
  • Interchanging number forms
  • One quantity as a percentage of another
  • Finding percentages of quantities
  • The unitary method in percentage
  • Percentage increase or decrease
  • Finding the percentage change
  • Business applications of percentage
  • Simple interest


  • Map references
  • Grid lines and coordinates on a map
  • Number grids
  • Interpreting points on a grid
  • The number plane
  • Qualitative data


  • Ratio
  • Equal ratios
  • Equal ratios and proportion
  • Using ratios to divide quantities
  • Scale diagrams
  • Gradient (or slope)


  • Equations
  • Algebraic expressions and equations
  • Maintaining balance
  • Inverse operations
  • Building and undoing expressions
  • Equations with two or more operations
  • Equations where the unknown occurs more than once
  • Equations where the unknown occurs on both sides


  • Plane figures
  • Line pairs
  • Constructing perpendiculars
  • Classifying triangles
  • Constructing and drawing triangles
  • Angles of a triangle
  • Constructing a 60° angle
  • Exterior angles of triangles
  • Quadrilaterals
  • Angles of a quadrilateral
  • Interior angles of polygons


  • Statistical enquiries (investigations)
  • Populations and samples
  • Categorical data
  • Discussion and report writing


  • Estimating from line graphs
  • Conversion graphs
  • Travel graphs
  • Continuous and discrete graphs
  • Graphing linear relationships


  • Rates
  • Average speed
  • Density
  • Converting rates


  • Writing equations using symbols
  • Solving simple problems with algebra
  • Solving problems involving measurement
  • Solving money problems
  • Miscellaneous problem solving
  • Other problem solving techniques

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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 supporter 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."

"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!"

"Your guidance, understanding, support and words of
wisdom changed our lives. We now offer support and
organise many homeschooling events for others."

"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
2am in the morning, I 've been encouraged!"

"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."

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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'.

To see the full range of Beverley Paine's books on homeschooling, unschooling and natural learning visit Always Learning Books

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"Your books, your blogs helped me beyond words...
they helped me to find comfort in knowing it is ok to choose
exactly what is best for my family." Nisha

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I am feeling good about this new experience." Diane

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"Your guidance, understanding, support & words of wisdom changed our lives." Leslie

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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.

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