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GCE N(T)-Level Maths Topics

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1. Numbers and Relations

1.1

Place value

1.2

Comparing and ordering numbers

1.3

Rounding numbers

2. Number Theory

2.1

Divisibility Rules

2.2

Determining Common Factors

2.3

Determining Common Multiples

2.4

Introduction to exponents

3. Adding and Subtracting Integers

3.1

Introduction to integer addition

3.2

Adding integers

3.3

Introduction to integer subtraction

3.4

Subtracting integers

3.5

Application of integer operations

4. Multiplying and Dividing Integers

4.1

Understanding integer multiplication

4.2

Multiplying integers

4.3

Understanding integer division

4.4

Dividing integers

4.5

Applications of integer operations

5. Operations with decimals

5.1

Adding and subtracting decimals

5.2

Multiplying decimals

5.3

Dividing decimals

5.4

Order of operations (BEDMAS)

6. Adding and Subtracting Fractions

6.1

Using models to add and subtract fractions

6.2

Adding fractions with like denominators

6.3

Subtracting fractions with like denominators

6.4

Adding and subtracting fractions with unlike denominators

6.5

Adding and subtracting mixed numbers

7. Multiplying and Dividing Fractions

7.1

Multiplying fractions and whole numbers

7.2

Dividing fractions with whole numbers

7.3

Multiplying proper fractions

7.4

Multiplying improper fractions and mixed numbers

7.5

Dividing fractions and mixed numbers

7.6

Applications of fraction operations

8. Ratios, Rates, and Proportions

8.1

Ratios

8.2

Rates

8.3

Proportions

9. Percents

9.1

Representing percents

9.2

Percents, fractions, and decimals

9.3

Percent of a number

9.4

Adding and multiplying percents

9.5

Taxes, discounts, tips and more

9.6

Simple interest

10. Linear Relations

10.1

Representing patterns in linear relations

10.2

Reading linear relation graphs

10.3

Solving linear equations by graphing

11. Solving Linear Equations

11.1

Solving linear equations using multiplication and division

11.2

Solving two-step linear equations: ax + b = c, x/a + b = c

11.3

Solving linear equations using distributive property: a(x + b) = c

11.4

Solving linear equations with variables on both sides

11.5

Solving literal equations

12. Linear Functions

12.1

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

12.2

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

12.3

Gradient equation:

m = \frac{y_2-y_1}{x_2- x_1}

12.4

Gradient intercept form: y = mx + b

12.5

General form: Ax + By + C = 0

12.6

Gradient-point form:

y - y_1 = m (x - x_1)

12.7

Rate of change

12.8

Graphing linear functions using table of values

12.9

Graphing linear functions using x- and y-intercepts

12.10

Graphing from slope-intercept form y=mx+b

12.11

Graphing linear functions using a single point and gradient

12.12

Word problems of graphing linear functions

12.13

Applications of linear relations

13. Simultaneous Equations

13.1

Determining number of solutions to linear equations

13.2

Solving simultaneous linear equations by graphing

13.3

Solving simultaneous linear equations by elimination

13.4

Solving simultaneous linear equations by substitution

13.5

13.6

Unknown number related questions in linear equations

13.7

Distance and time related questions in linear equations

13.8

Rectangular shape related questions in linear equations

14. Quadratic Functions

14.1

Factorise by taking out the greatest common factor

14.2

Factorise by grouping

14.3

Factorising trinomials

14.4

Properties and graphs of quadratic functions

15. Solving Quadratic Equations

15.1

Solving quadratic equations by factorising

15.2

Solving quadratic equations by completing the square

15.3

Using quadratic formula to solve quadratic equations

16. Algebraic Fractions

16.1

Simplifying algebraic fractions and restrictions

16.2

Adding and subtracting algebraic fractions

16.3

Multiplying algebraic fractions

16.4

Dividing algebraic fractions

16.5

Solving equations with algebraic fractions

16.6

Applications of equations with algebraic fractions

16.7

Simplifying complex fractions

17. Trigonometry

17.1

Use sine ratio to calculate angles and sides (Sin =

\frac{o}{h}

)

17.2

Use cosine ratio to calculate angles and sides (Cos =

\frac{a}{h}

)

17.3

Use tangent ratio to calculate angles and sides (Tan =

\frac{o}{a}

)

17.4

Combination of SohCahToa questions

17.5

Solving expressions using 45-45-90 special right triangles

17.6

Solving expressions using 30-60-90 special right triangles

17.7

Word problems relating ladder in trigonometry

17.8

Word problems relating guy wire in trigonometry

17.9

Other word problems relating angles in trigonometry

18. Geometry and Measurement

18.1

Cartesian plane

18.2

Draw on coordinate planes

18.3

Introduction to transformations

18.4

Horizontal and vertical distances

19. Angles, Lines, and Transversals

19.1

Pairs of lines and angles

19.2

Parallel lines and transversals

19.3

Parallel line proofs

19.4

Perpendicular line proofs

20. Symmetry

20.1

Line symmetry

20.2

Rotational symmetry and transformations

21. Scale Factors and Similarity

21.1

Enlargements and reductions with scale factors

21.2

Scale diagrams

21.3

Similar triangles

21.4

Similar polygons

22. Congruent Triangles

22.1

Classifying triangles

22.2

Congruence and congruent triangles

22.3

Triangles congruent by SSS proofs

22.4

Triangles congruent by SAS and HL proofs

22.5

Triangles congruent by ASA and AAS proofs

22.6

Isosceles and equilateral triangles

23. Circles

23.1

Angles in a circle

23.2

Chord properties

23.3

Tangent properties

23.4

Circle and circumference

23.5

Arcs of a circle

23.6

Areas and sectors of circles

23.7

Central angles and proofs

23.8

Inscribed angles and proofs

23.9

Central and inscribed angles in circles

24. Surface Area and Volume

24.1

Surface area and volume of prisms

24.2

Surface area and volume of pyramids

24.3

Surface area and volume of cylinders

24.4

Surface area and volume of cones

24.5

Surface area and volume of spheres

25. Data and Graphs

25.1

Reading and drawing bar graphs

25.2

Reading and drawing histograms

25.3

Reading and drawing line graphs

25.4

Box-and-whisker plots and scatter plots

25.5

Reading and drawing stem-and-leaf diagrams

25.6

Reading and drawing Venn diagrams

25.7

Frequency tables and dot diagrams

25.8

Pie charts

26. Representing Data

26.1

Advantages and disadvantages of different graphs

26.2

Misleading graphs

26.3

Critiquing data presentation

27. Statistics

27.1

Median and mode

27.2

Mean

27.3

Range and outliers

27.4

Application of averages

28. Probability

28.1

Determining probabilities using tree diagrams and tables

28.2

Probability of independent events

28.3

Probability with Venn diagrams

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