Course list:
HOTmaths Global
Courses:
Middle Secondary
Last lesson
Topics:
Lessons:
Earning money
Buying & borrowing
Using compound interest
Negative & fractional indices
Index laws
Numbers & number notations
Surds
Algebraic expressions
Algebraic fractions
Linear equations & inequalities
Simultaneous linear equations
Introducing quadratic expressions & equations
Further quadratic expression & equations
Other types of equations
Coordinate geometry: midpoint, distance & gradient
Linear relationships
Further linear relationships
Basic non-linear graphs
Transforming non-linear graphs & graphing regions
Exploring functions
Logarithms
Polynomials
Rates & proportion
Reviewing & extending Pythagoras' theorem
Perimeter & area
Volume & surface area of prisms & cylinders
Volume & surface area of other objects
Introducing trigonometry
Trigonometry with minutes & bearings
Trigonometry beyond right triangles
Angle properties of polygons
Similarity & congruence
Using formal proofs in geometry
Circle geometry
Relative frequency & probability
Further probability
Examining data
Cumulative frequency & its uses
Bivariate data
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Wages & salaries
Extra earnings
Part-time work
Taxation & deductions
Budgeting
Reviewing percentages
Reviewing applications of percentages
Best buys, discounts, sales tax
Buying on credit
Simple interest
Introducing compound interest
Compound interest formula
Depreciation
Loans
Introducing negative indices
Negative indices & algebra
Fractional indices & roots
Index laws for multiplying & dividing terms
Zero index & power upon power
Extending index laws
Reviewing rational & irrational numbers
Significant figures & rounding
Scientific notation
Exploring recurring decimals
Reals, rationals & surds
Operations with surds
Rewriting surds
Binomial surds
Reviewing algebraic expressions
Reviewing simplifying algebraic expressions
Expanding & simplifying
Factorising
Using algebra
A summary of working with algebraic expressions
Introducing adding & subtracting algebraic fractions
Introducing multiplying & dividing algebraic fractions
Four operations with algebraic fractions
Extending adding & subtracting algebraic fractions
Harder fractions with algebraic denominators
Solving linear equations
Linear equations with brackets
Linear equations with fractions
Problems & formulas
Inequalities
Extending inequalities
Graphs, tables or guess & check
Using the substitution method
Using the elimination method
Solving problems simultaneously
Expanding binomial products
Factorising monic quadratics
Solving basic quadratic equations
Solving quadratic equations using factors
Factorising non-monic quadratics
Special quadratic products & factors
Factorising by completing squares
Other factorisations for quadratic expressions
Simplifying using factors
Solving quadratics by completing the square
The quadratic formula
Introducing exponential equations
Non-linear simultaneous equations
Literal equations
Midpoint
Distance using graphs
Gradient using graphs
Distance formula
Gradient formula
Reviewing the Cartesian plane & plotting lines
Intercepts
Graphing lines using intercepts
Lines with only one intercept
Reading the equation
Finding the equation of a line
Applications of linear graphs
Reviewing graphing linear relationships
Gradient-intercept graphs
Parallel & perpendicular lines
Exploring equations for linear relationships
Comparing types of graphs
Plotting & describing parabolas
Solving & graphing basic cubic equations
Graphing circles with centre (0, 0)
Simple exponential graphs
Simple rectangular hyperbola graphs
Stretching & reflecting parabolas
Transforming parabolas
Parabolas & factorisation
Parabolas & completing the square
Parabolas & quadratic formula
Further cubic equations & graphs
Moving the centre of a circle
Transforming hyperbolas
Regions on the Cartesian plane
Functions & their notation
Inverse functions
Transforming graphs
What are logarithms?
Approximating logarithms
Rules governing logarithms
Logarithms & graphs
Exponential equations & logarithms
Introducing polynomials
Add, subtract, multiply polynomials
Dividing polynomials
The remainder & factor theorems
Solving polynomial equations
Sketching polynomials
Converting rates
Understanding proportion
Direct variation
Inverse variation
Reviewing Pythagoras' theorem
Pythagoras & 3D problems
Reviewing units of measure & accuracy
Perimeters & arcs
Area of a kite & a rhombus
Area of a trapezium
Areas of parts of circles
Area & composite shapes
Volumes of objects with uniform cross-sections
Surface areas of prisms
Surface areas of cylinders
Volumes of pyramids
Volumes of cones
Volumes of spheres
Surface areas of pyramids
Surface areas of cones & spheres
Naming the sides
The tangent ratio
Using the tangent ratio
The sine & cosine ratios
Side lengths using any ratio
Calculating angles
Applying trigonometry
Splitting the degree
Trigonometry using degrees & minutes
Bearings
Using bearings with trigonometry
Trigonometry & 3D problems
Obtuse angles & exact values in trigonometry
Area using trigonometry
Sine rule
Cosine rule
The unit circle & trigonometric graphs
Related ratios in trigonometry
Trigonometric relationships
Reviewing angles & triangles
Reviewing quadrilaterals
Angles all polygons
Writing geometrical arguments
Which shapes are similar?
Scale factors for similar figures
Similar triangles
Congruent triangles
Using congruence in proofs
Proofs & similar triangles
Extending the concept of similarity
Formal congruence proofs & quadrilaterals
Arcs & angles
Chords, angles & distances
Cyclic quadrilaterals
Tangents, radii & chords
Reviewing probability
Relative frequency
Using relative frequency
Venn diagrams & two-way tables
Two-step events
Exploring multi-step events
Addition rule for probability
Conditional probability
Probability tree diagrams
Summarising data
Extending stem-and-leaf plots
Histograms & grouped data
Examining distributions
Quartiles
Box plots
Standard deviation
Cumulative frequency
Cumulative frequency histograms
Grouping data using cumulative frequency
Centres for grouped data using cumulative frequency
Box-and-whisker plots using cumulative frequency
Scatter plots
Line of best fit
Distance/time graphs
Other line graphs
Data with non-linear change