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Year 8 Mathematics Checklist - What to Learn
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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