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WHOLE NUMBERS

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

PLANE FIGURE GEOMETRY

• 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

DIRECTED NUMBERS

• 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

PROPERTIES OF WHOLE NUMBERS

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

ALGEBRA: PATTERNS AND MODELS

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

FRACTIONS

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

DECIMAL NUMBERS

• 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

THE GEOMETRY OF SOLIDS

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

LENGTH AND AREA

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

MEASUREMENT

• Volume
• Capacity
• Mass
• Time

ALGEBRA: EXPRESSIONS AND RULES

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

OPERATIONS WITH FRACTIONS

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

PERCENTAGES

• 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

COORDINATES

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

RATIO AND PROPORTION

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

EQUATIONS

• 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

GEOMETRY

• 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

STATISTICS

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

LINE GRAPHS

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

RATES

• Rates
• Average speed
• Density
• Converting rates

PROBLEM SOLVING

• 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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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 in 1986 and three years later started the South Australian Home Based Learners network. Beverley continues to write for homeschooling newsletters and magazines as well as hosting several websites dedicated to promoting and supporting home education in Australia. Her aim is to demystify the education process and make it accessible to all parents. Enjoy Beverley's wealth of practical knowledge, homeschooling and unschooling tips and ideas through articles and books and online at www.homeschoolaustralia.com. Since the late 1990s Robin and Beverley have been building their home education publishing business - Always Learning Books - from home with the help of their son Thomas.

Please note that the opinions and articles included in the suite of Homeschool Australia websites are not necessarily those of Beverley and Robin Paine, nor do we endorse or necessarily recommend products (other than our own) listed in contributed articles, pages, or advertisements.

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