EJU Math 1 Syllabus

 

 

​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​1. Numbers and expressions ... Mathematics I

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(1) Numbers and sets

1) Real numbers

2) Sets and propositions

(2) Calculation of expressions

1) Expansion and factorization of polynomials

2) Linear inequalities

3) Equations and inequalities containing absolute values

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2. Quadratic functions ... Mathematics I

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(1) Quadratic functions and their graphs

1) Variation in values of quadratic functions

2) Maximum and minimum values of quadratic functions

3) Determining quadratic functions

(2) Quadratic equations and inequalities

1) Solutions of quadratic equations

2) Quadratic equations and the graphs of quadratic functions

3) Quadratic inequalities and the graphs of quadratic functions

 

3. Figures and measurements ... Mathematics I

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(1) Trigonometric ratios

1) Sine, cosine, tangent

2) Relations between trigonometric ratios

(2) Trigonometric ratios and figures

1) Sine formulas, cosine formulas

2) Measurement of figures (including application to solid figures)

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4. The number of possible outcomes and probability ... Mathematics 

 

(1) The number of possible outcomes

1) Principles of counting (including the number of elements of a set, the law of sums, the law of

products)

2) Permutations, combinations

(2) Probability and its fundamental properties

(3) Independent trials and probability

(4) Conditional probability

5. Properties of integers ... Mathematics 

(1) Divisors and multiples

(2) Euclidean algorithm

(3) Applications of the properties of integers

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6. Properties of figures ... Mathematics 

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(1) Plane figures

1) Properties of triangles

2) Properties of circles

(2) Solid figures

1) Lines and planes

2) Polyhedrons

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