6.1.1 Use the
concept of
concentration to
solve problems
6.1.2 Using the
concept of speed to
solve the clock face
problem
6.1.3 Permutation
and combination
6.1.4 Uncertain
issues
.

7.1.1 Calculate the
angle of a simple
plane figure
7.1.2 Congruent
and similar triangles
7.1.3 Mean, median
and mode

1. Advanced
Mathematical
Olympiad

• 2.1.1 Solve
  problems according
  to the law of
  numbers and
  conversion skills
  2.1.2 Graphical
  calculations

8.1.1 Trigonometric
ratios and
trigonometric
identities
8.1.2 Irrational
numbers and
radical operations
8.1.3 Plane
Transformation

9.1.1 Circle
9.1.2 Four Hearts of
a Triangle
9.1.3 Numeracy
skills: symmetry and
repetition

3.1.1 Know how to
use program
symbols to perform
program
calculations
correctly
3.1.2 Use number
divisibility to solve
problems
3.1.3 Square and
triangle numbers

4.1.1 Use the
conditional
statement method
to solve logical
reasoning problems
4.1.2 Calculating
the volume and
surface area of a
column that floats
and sinks in a liquid

5.1.1 Use the
concept of
repetition to solve
path calculation
problems
5.1.2 Use the
concepts of
proportion and
speed to solve
problems
5.1.3 Unordered
number calculation
5.1.4 Greatest
Common Factor

2. Programming
and logical
thinking

2.2.1 Use Scratch
code to analyze
sequential logic

3.2.1 Use Scratch
code to analyze the
logic of a single
decision condition
and the program
structure of a single
repeated event.

4.2.1 Use Scratch
code to analyze the
logic of multiple
decision conditions
and the program
structure of a single
repeated event.


 

5.2.1 Use Scratch
code to analyze the
logic of
superimposed
decision conditions
and the program
structure of
multiple repeated
events




 

6.2.1 Use Scratch
code to analyze the
combination and
superposition of
decision-making
condition logic and
the program
structure of
superposition of
repeated events.




 

7.2.1 Use Scratch
code to analyze the
program structure
of two programs
that contain
superimposed
decision-making
condition logic.

8.2.1 Use Scratch
code to analyze the
program structure
of multiple
programs that
contain
superimposed
decision-making
conditional logic
and superimposed
repeated events.






 

9.2.1 Use the
Scratch code to
analyze multiple
programs calling
each other,
including the logic
of superimposed
decision-making
conditions and the
program structure
of superimposed
repeated events
9.2.2 Using code to analyze recursive
structure.











 

3. Engineering
Mathematics

• 2.3.1 Simple
  statistics
  (frequency, times)
  2.3.2 Geometric
  laws
  2.3.3 Multiple
  concept
  (combination of
  two-gear ratios)

3.3.1 Simple
statistics
(frequency, average,
probability of a
single event
occurring)
3.3.2 Multiplier and
divisor operations
(2 gear sets ratio)


 

4.3.1 The
probability of
multiple single
events occurring
4.3.2 Multiplier and
divisor operations
(combination of 3
gear sets ratios)



 

5.3.1 A randomized
experiment involves
the probability of
two events
occurring
5.3.2 Multiplier and
divisor operations
(multiple gear sets
ratio combinations)
5.3.3 Project
progress calculation
for two workers






 

6.3.1 A Randomized
Trial Contains the
Probability of
Multiple Events
Occurring
6.3.2 Multiples and
fraction operations
(gear ratio
combination [use
gears with a
specified number
of teeth to create a
specified gear
ratio])
6.3.3 Project
progress calculation
for multiple
workers












 

7.3.1 Calculation of
area and volume of
polygons
7.3.2 Calculate the
linear motion speed
of an object on 2D
coordinates


 

8.3.1 Calculate the
distance in 2D
coordinates using
Pythagoras'
theorem
8.3.2 On the 2D
coordinates,
calculate the speed,
time and efficiency
of the linear motion
of two objects
reaching a specified
coordinate








 

9.3.1 Calculate the
distance in 3D
coordinates using
Pythagoras'
theorem
9.3.2 On the 3D
coordinates,
calculate the speed,
time and efficiency
of the linear motion
of two objects
reaching a specified
coordinate








 

2.4.1 Simple
mathematical
reasoning

3.4.1 Mathematical
reasoning (linear
equation of one
variable [no
simplification
required])

4.4.1 Mathematical
reasoning (unary
linear equation
[needs
simplification])

5.4.1 Mathematical
reasoning (linear
equation in two
variables [no
simplification
required])

6.4.1 Mathematical
reasoning (linear
equation in two
variables [needs
simplification])

7.4.1 Mathematical
reasoning (triple
linear equation [no
simplification
required])

8.4.1 Mathematical
reasoning
(three-dimensional
linear equation
[needs
simplification])

9.4.1 Mathematical
reasoning
(quadratic equation
of one variable)

4. Algebra and
Problem
Analysis