Year 9 Maths Skills () « All Years

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Numbers & Indices
Algebra
Financial Maths
Equations
Scientific Notation
Errors in Measurement
Rates & Ratios
Real Numbers
Statistics
Probability
Pythagoras
Coordinate Geometry
Linear & Non-Linear
Trigonometry
Geometry
Similarity
Measurement
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Indices (Index Laws)

  1. Index notation

    1. Index notation - basics
    2. Index notation - evaluate

  2. Index laws

    1. Multiplication with indices
    2. Division with indices
    3. Power of a power
    4. The zero index
    5. Negative indices

  3. Applying index laws

    1. Mixed index law problems
    2. Indices with variable bases

Algebra

  1. Simplifying expressions

    1. Identify and simplify like terms
    2. Add and subtract pronumerals
    3. Multiply pronumerals
    4. Divide pronumerals

  2. Substitution

    1. Substitution
    2. Substitution into formulae

  3. Expanding and factorising

    1. Grouping symbols (expanding)
    2. Expand binomial products
    3. Factorise using common factors
    4. Factorise quadratic trinomials

Financial Mathematics

  1. Simple interest

    1. Simple interest - concept and formula
    2. Simple interest - find the interest amount
    3. Applying the simple interest formula

  2. Consumer finance

    1. Hire purchase
    2. Percentages and finance problems
    3. Comparing financial options

Equations

  1. Solving equations

    1. One-step equations (addition/subtraction)
    2. One-step equations (multiplication/division)
    3. Two-step equations
    4. Equations with pronumerals on both sides
    5. Equations with grouping symbols
    6. Equations with fractions

  2. Applying equations

    1. Forming equations from word problems
    2. Solving quadratics graphically
    3. Solving quadratics by factorising

Scientific Notation

  1. Understanding scientific notation

    1. Powers of 10
    2. Scientific notation - large numbers
    3. Scientific notation - small numbers
    4. Comparing numbers in scientific notation

  2. Calculations and applications

    1. Calculations with scientific notation
    2. Significant figures
    3. Scientific notation in context

Rates & Ratios

  1. Ratios

    1. Equivalent ratios
    2. Using ratios to solve problems

  2. Rates

    1. Understanding rates
    2. Comparing rates
    3. Conversion of rates
    4. Conversion graphs

  3. Proportion

    1. Direct variation
    2. Inverse variation

Real Numbers

  1. Number classification

    1. Rational numbers
    2. Irrational numbers
    3. The real number system

  2. Surds

    1. Surds - simplify
    2. Operations with surds

Errors in Measurement

  1. Understanding measurement error

    1. Absolute error
    2. Relative error
    3. Percentage error

Statistics

  1. Data collection

    1. Statistical terms and vocabulary
    2. Techniques for collecting data

  2. Summary statistics

    1. Mean
    2. Mode
    3. Median
    4. Range

  3. Data displays

    1. Investigating issues with data
    2. Frequency histograms
    3. Stem-and-leaf plots
    4. Back-to-back stem-and-leaf plots
    5. Dot plots

  4. Analysis

    1. Describing data distributions
    2. Comparing data sets

Probability

  1. Probability basics

    1. Basic probability
    2. Venn diagrams
    3. Two-way tables

  2. Compound events

    1. Tree diagrams
    2. Multi-step events
    3. Two dice rolled simultaneously
    4. With and without replacement

  3. Experimental probability

    1. Relative frequencies
    2. Experimental probability

Geometry

  1. Polygons and congruence

    1. Polygons: names and properties
    2. Congruent shapes

  2. Angle relationships

    1. Angles in parallel lines
    2. Angle sum of triangles
    3. Angle sum of quadrilaterals

  3. Polygon angles

    1. Interior angles of polygons
    2. Exterior angles of polygons
    3. Problem solving with angles

Similarity

  1. Scale and similarity

    1. The enlargement (scale) factor
    2. Finding missing lengths in similar shapes
    3. Scale drawings and maps

  2. Similar triangles

    1. Similar triangles
    2. Similar triangles in real-world contexts

  3. Area and volume ratios

    1. Area ratios of similar shapes
    2. Volume ratios of similar shapes
    3. Problem solving with similarity

Measurement

  1. Area

    1. Area of plane shapes
    2. Area of triangles using sine
    3. Area of parallelograms
    4. Area of kites and rhombuses
    5. Area of trapeziums

  2. Surface area

    1. Surface area of cylinders
    2. Surface area of prisms
    3. Surface area of pyramids and cones

  3. Volume

    1. Volume of prisms
    2. Volume of cylinders, cones and pyramids

Pythagoras' Theorem

  1. Understanding Pythagoras

    1. Identify the hypotenuse
    2. Name the sides of a right triangle
    3. Selecting the rule
    4. Pythagorean triads

  2. Finding sides

    1. Find the hypotenuse
    2. Find the shorter side
    3. Mixed Pythagoras problems

  3. Applications

    1. Pythagoras in context
    2. Pythagoras in 3D

Coordinate Geometry

  1. Distance and midpoint

    1. Distance between two points
    2. The distance formula
    3. Midpoint of an interval
    4. The midpoint formula
    5. Finding an endpoint

  2. Gradient and lines

    1. Gradient of a line
    2. The gradient formula
    3. Gradient-intercept form
    4. General form of a line
    5. Point on a line
    6. Equation from two points
    7. Parallel and perpendicular lines

Linear & Non-Linear Graphs

  1. Linear graphs

    1. Tables of values
    2. Graphing linear equations
    3. Points of intersection
    4. Using graphs to solve equations

  2. Non-linear graphs

    1. Drawing quadratic graphs
    2. Key features of parabolas
    3. Exponential curves
    4. Circles on the coordinate plane
    5. Comparing graphs

Trigonometry

  1. Introduction to trig

    1. Naming sides using SOHCAHTOA
    2. Trigonometric ratios
    3. Calculating trigonometric ratios
    4. Using a calculator for trig

  2. Finding sides and angles

    1. Find a side using trigonometry
    2. Finding sides: more practice
    3. Find the hypotenuse using trig
    4. Find an unknown angle
    5. Mixed trigonometry problems

  3. Applications

    1. Angles of elevation and depression
    2. Trigonometry problem solving
    3. Pythagoras and trig combined

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