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GCE N(T)-Level Maths topics

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1Numbers and Relations

1.1Place value
1.2Comparing and ordering numbers
1.3Rounding numbers

2Number Theory

2.1Divisibility Rules
2.2Determining Common Factors
2.3Determining Common Multiples
2.4Introduction to exponents

3Adding and Subtracting Integers

3.1Introduction to integer addition
3.2Adding integers
3.3Introduction to integer subtraction
3.4Subtracting integers
3.5Application of integer operations

4Multiplying and Dividing Integers

4.1Understanding integer multiplication
4.2Multiplying integers
4.3Understanding integer division
4.4Dividing integers
4.5Applications of integer operations

5Operations with decimals

5.1Adding and subtracting decimals
5.2Multiplying decimals
5.3Dividing decimals
5.4Order of operations (BEDMAS)

6Adding and Subtracting Fractions

6.1Using models to add and subtract fractions
6.2Adding fractions with like denominators
6.3Subtracting fractions with like denominators
6.4Adding and subtracting fractions with unlike denominators
6.5Adding and subtracting mixed numbers

7Multiplying and Dividing Fractions

7.1Multiplying fractions and whole numbers (free lessons)
7.2Dividing fractions with whole numbers
7.3Multiplying proper fractions
7.4Multiplying improper fractions and mixed numbers
7.5Dividing fractions and mixed numbers
7.6Applications of fraction operations

8Ratios, Rates, and Proportions

8.1Ratios (free lessons)
8.2Rates
8.3Proportions

9Percents

9.1Representing percents (free lessons)
9.2Percents, fractions, and decimals
9.3Percent of a number
9.4Adding and multiplying percents
9.5Taxes, discounts, tips and more
9.6Simple interest

10Linear Relations

10.1Representing patterns in linear relations
10.2Reading linear relation graphs
10.3Solving linear equations by graphing

11Solving Linear Equations

11.1Solving linear equations using multiplication and division (free lessons)
11.2Solving two-step linear equations: ax+b=cax + b = c, xa+b=c{x \over a} + b = c
11.3Solving linear equations using distributive property: a(x+b)=ca(x + b) = c (free lessons)
11.4Solving linear equations with variables on both sides
11.5Solving literal equations

12Linear Functions

12.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} (free lessons)
12.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2) (free lessons)
12.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
12.4Gradient intercept form: y = mx + b (free lessons)
12.5General form: Ax + By + C = 0 (free lessons)
12.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1) (free lessons)
12.7Rate of change
12.8Graphing linear functions using table of values
12.9Graphing linear functions using x- and y-intercepts (free lessons)
12.10Graphing from slope-intercept form y=mx+b
12.11Graphing linear functions using a single point and gradient
12.12Word problems of graphing linear functions
12.13Applications of linear relations

13Simultaneous Equations

13.1Determining number of solutions to linear equations (free lessons)
13.2Solving simultaneous linear equations by graphing
13.3Solving simultaneous linear equations by elimination
13.4Solving simultaneous linear equations by substitution
13.5Money related questions in linear equations (free lessons)
13.6Unknown number related questions in linear equations
13.7Distance and time related questions in linear equations
13.8Rectangular shape related questions in linear equations

14Quadratic Functions

14.1Factorise by taking out the greatest common factor (free lessons)
14.2Factorise by grouping
14.3Factorising trinomials
14.4Properties and graphs of quadratic functions (free lessons)

15Solving Quadratic Equations

15.1Solving quadratic equations by factorising
15.2Solving quadratic equations by completing the square
15.3Using quadratic formula to solve quadratic equations

16Algebraic Fractions

16.1Simplifying algebraic fractions and restrictions
16.2Adding and subtracting algebraic fractions (free lessons)
16.3Multiplying algebraic fractions
16.4Dividing algebraic fractions
16.5Solving equations with algebraic fractions
16.6Applications of equations with algebraic fractions
16.7Simplifying complex fractions

17Trigonometry

17.1Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} ) (free lessons)
17.2Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
17.3Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
17.4Combination of SohCahToa questions (free lessons)
17.5Solving expressions using 45-45-90 special right triangles (free lessons)
17.6Solving expressions using 30-60-90 special right triangles
17.7Word problems relating ladder in trigonometry
17.8Word problems relating guy wire in trigonometry
17.9Other word problems relating angles in trigonometry

18Geometry and Measurement

18.1Cartesian plane
18.2Draw on coordinate planes
18.3Introduction to transformations
18.4Horizontal and vertical distances

19Angles, Lines, and Transversals

19.1Pairs of lines and angles
19.2Parallel lines and transversals
19.3Parallel line proofs
19.4Perpendicular line proofs (free lessons)

20Symmetry

20.1Line symmetry (free lessons)
20.2Rotational symmetry and transformations

21Scale Factors and Similarity

21.1Enlargements and reductions with scale factors (free lessons)
21.2Scale diagrams
21.3Similar triangles
21.4Similar polygons

22Congruent Triangles

22.1Classifying triangles
22.2Congruence and congruent triangles
22.3Triangles congruent by SSS proofs
22.4Triangles congruent by SAS and HL proofs
22.5Triangles congruent by ASA and AAS proofs
22.6Isosceles and equilateral triangles

23Circles

23.1Angles in a circle (free lessons)
23.2Chord properties
23.3Tangent properties
23.4Circle and circumference
23.5Arcs of a circle
23.6Areas and sectors of circles
23.7Central angles and proofs
23.8Inscribed angles and proofs
23.9Central and inscribed angles in circles

24Surface Area and Volume

24.1Surface area and volume of prisms (free lessons)
24.2Surface area and volume of pyramids
24.3Surface area and volume of cylinders
24.4Surface area and volume of cones (free lessons)
24.5Surface area and volume of spheres

25Data and Graphs

25.1Reading and drawing bar graphs
25.2Reading and drawing histograms
25.3Reading and drawing line graphs
25.4Box-and-whisker plots and scatter plots
25.5Reading and drawing stem-and-leaf diagrams
25.6Reading and drawing Venn diagrams
25.7Frequency tables and dot diagrams
25.8Pie charts

26Representing Data

26.1Advantages and disadvantages of different graphs (free lessons)
26.2Misleading graphs
26.3Critiquing data presentation

27Statistics

27.1Median and mode
27.2Mean
27.3Range and outliers
27.4Application of averages

28Probability

28.1Determining probabilities using tree diagrams and tables (free lessons)
28.2Probability of independent events
28.3Probability with Venn diagrams
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