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Grade 9

Advanced Mathematical Olympiad

2.1.1 Solve problems according to the law of numbers and conversion skills

2.1.2 Graphical calculations

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

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

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

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

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

Algebra and Problem Analysis

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)