10年級數學。 Igcse - 0580。

This is a review class for Grade 10 Mathematics based on the Cambridge IGCSE Mathematics Core and Extended (0580) as well as Cambridge IGCSE Mathematics - Additional (0606) subjects. The class is recommended for students aged 14-17 who already have some knowledge of the listed topics.

The sessions are designed to be 45 minutes to an hour long, covering theory review and problem-solving practice. The schedule is flexible, allowing students to join or leave anytime without compromising their learning goals. Additionally, there's an option for one-on-one sessions for students needing detailed explanations of specific topics.

The homework policy emphasizes thorough practice at home, with assignments to be submitted within 3-4 days of the session. Feedback on homework and improvement strategies will be communicated through the OS message system.

If you have any specific questions or areas you'd like me to focus on in the review, please let me know.


       
          

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Summary of Topics covered in this class over the period of ~ 200 to ~ 230 classes are: 
1. Number Systems: 
   a) Multiples and Factors, 
   b) Prime and composite Numbers. 
   c) Indices and roots 
   d) Order of operations 
   e) Rounding + Upper and lower bounds 
   f) Fractions, Decimals, Percentages
   g) Standard form; Use of calculator 
   h) Estimation
   i) Operations on Fractions 
   j) Sequences 
  k) Set theory 
   l) Rational and Irrational Numbers. 
  m) Units
  n) Time
  o) Money : Borrowing and Investing, Buying and Selling 
  p) Ratio, Rates, Proportion and Scale 
  q) Direct and Inverse Proportion
2. Algebra
   a) Introduction - recap
   b) Substitute 
   c) Simplify the expressions 
   d) Brackets , Expansion of brackets
   e) Powers and Exponents on variable 
   f) Solution of linear equation
   g) Factorising Algebraic equation of degree 2 or 3. 
   h) equation of straight lines
   i) Quadratic Equation solution by completing a square, splitting middle term. 
   j) Inequality , Regions in plane 
   k) Quadratic & Reciprocal Graphs (Parabola and hyperbola) 
   l) Graphs to solve quadratic equations, simultaneous linear and non-linear equations. 
  m) Gradient of a curve Or slope of a tangent 
   n) Derived Functions. 
   o) Equation for solving problems
   p) Functions
3. Geometry: 
   a) Lines and Angles, Parallel lines and Transversal 
   b) Triangles, Quadrilaterals and Polygons  
   c) Circles : Symmetry properties of Circles, Angle Relationships in circles
   d) Constructions : Perpendicular Bisectors, Angle Bisector. 
   e) Perimeter and Area in 2D as well as in 3D shapes. Volume in 3D shapes. 
   f) Pythagoras Theorem 
   g) Congruent and Similar Shapes 
   h) Introduction to Trigonometry
   i) Sin, Cosine, Tangent of Angles < 90 and > 90. 
   j) Symmetry in 2D and 3D
   k) Transformations and vectors 
4. Statistics and Probability
  a) Data collection basics
  b) Organising Data and methods to display the same
  c) Making sense of data using Mean, Median, Mode, Quartiles and Percentiles
  d) Probability Theory and Conditional Probability 
  e) Tree diagrams and Venn Diagram uses for calculating Probability. 
   f) Frequency, Cumulative Frequency and Histograms