Dashboard
Course list:
HOTmaths Global
Courses: Middle Secondary
Courses: Middle Secondary
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
- Topic quiz
- Topic quiz
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- Topic quiz
- 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
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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