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Secondary 2 Maths Topics

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1. Number Theory

1.1 Divisibility Rules
1.2 Prime factorization
1.3 Determining Common Factors
1.4 Determining Common Multiples
1.5 Introduction to Exponents

2. Adding and Subtracting Integers

2.1 Introduction to integer addition
2.2 Adding integers
2.3 Introduction to integer subtraction
2.4 Subtracting integers
2.5 Application of integer operations

3. Multiplying and Dividing Integers

3.1 Understanding integer multiplication
3.2 Multiplying integers
3.3 Understanding integer division
3.4 Dividing integers
3.5 Applications of integer operations

4. Rational Numbers

4.1 Comparing and ordering rational numbers
4.2 Solving problems with rational numbers in decimal form
4.3 Solving problems with rational numbers in fraction form
4.4 Determine square roots of rational numbers

5. Radicals

5.1 Square and square roots
5.2 Cubic and cube roots
5.3 Evaluating and simplifying radicals
5.4 Converting radicals to mixed radicals
5.5 Converting radicals to entire radicals
5.6 Adding and subtracting radicals
5.7 Multiplying and dividing radicals
5.8 Rationalize the denominator

6. Exponents

6.1 Product rule of exponents
6.2 Quotient rule of exponents
6.3 Power of a product rule
6.4 Power of a quotient rule
6.5 Power of a power rule
6.6 Negative exponent rule
6.7 Combining the exponent rules
6.8 Scientific notation
6.9 Convert between radicals and rational exponents
6.10 Solving for exponents

7. Ratios, Rates and Proportions

7.1 Ratios
7.2 Rates
7.3 Proportions

8. Proportional Relationships

8.1 Identifying proportional relationships
8.2 Understanding graphs of proportional relationships
8.3 Graphing and writing equations of proportional relationships
8.4 Applications of proportional relationships

9. Percents

9.1 Representing percents
9.2 Percent of a number
9.3 Converting among decimals, fractions, and percents
9.4 Applications of percents
9.5 Taxes, discounts, tips and more
9.6 Simple interest

10. Measuring Systems

10.1 Metric systems
10.2 Imperial systems
10.3 Conversions between metric and imperial systems
10.4 Conversions involve squares and cubic

11. Coordinates, Quadrants, and Transformations

11.1 Cartesian plane
11.2 Draw on coordinate planes
11.3 Introduction to transformations
11.4 Horizontal and vertical distances

12. Angles, Lines and Transversals

12.1 Pairs of lines and angles
12.2 Parallel lines and transversals
12.3 Parallel line proofs
12.4 Perpendicular line proofs
12.5 Parallel and perpendicular line segments
12.6 Perpendicular bisectors
12.7 Angle bisectors

13. Properties of Triangles

13.1 Classifying Triangles
13.2 Isosceles and Equilateral Triangles

14. Congruent Triangles

14.1 Congruence and Congruent Triangles
14.2 Triangles Congruent by SSS Proofs
14.3 Triangles Congruent by SAS and HL Proofs
14.4 Triangles Congruent by ASA and AAS Proofs

15. Symmetry and Surface Area

15.1 Line symmetry
15.2 Rotational symmetry and transformations
15.3 Surface area of 3-dimensional shapes

16. Pythagorean Theorem

16.1 Squares and square roots
16.2 Pythagorean theorem
16.3 Estimating square roots
16.4 Using the pythagorean relationship
16.5 Applications of pythagorean theorem

17. Surface Area of 3D Shapes

17.1 Introduction to surface area of 3-dimensional shapes
17.2 Nets of 3-dimensional shapes
17.3 Surface area of prisms
17.4 Surface area of cylinders

18. Circles

18.1 Circles and circumference
18.2 Angles in a circle
18.3 Arcs of a circle
18.4 Areas and sectors of circles

19. Volume of 3D Shapes

19.1 Introduction to volume
19.2 Volume of prisms
19.3 Volume of cylinders
19.4 Word problems relating volume of prisms and cylinders

20. Scale Factors and Similarity

20.1 Enlargements and reductions with scale factors
20.2 Scale diagrams
20.3 Similar triangles
20.4 Similar polygons

21. Linear Equations (Basic)

21.1 Model and solve one-step linear equations: ax = b, x/a = b
21.2 Solving two-step linear equations using addition and subtraction: ax + b = c
21.3 Solving two-step linear equations using multiplication and division: x/a + b = c
21.4 Solving two-step linear equations using distributive property: a(x + b) = c

22. Solving Linear Equations

22.1 Solving linear equations using multiplication and division
22.2 Solving two-step linear equations: ax + b = c, x/a + b = c
22.3 Solving linear equations using distributive property: a(x + b) = c
22.4 Solving linear equations with variables on both sides
22.5 Solving literal equations

23. Linear Inequalities

23.1 Express linear inequalities graphically and algebraically
23.2 Solving one-step linear inequalities
23.3 Solving multi-step linear inequalities
23.4 Compound inequalities

24. Introduction to Relations and Functions

24.1 Relationship between two variables
24.2 Understand relations between x- and y-intercepts
24.3 Domain and range of a function
24.4 Identifying functions
24.5 Function notation

25. Linear Functions

25.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
25.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
25.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
25.4 Gradient intercept form: y = mx + b
25.5 General form: Ax + By + C = 0
25.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
25.7 Rate of change
25.8 Graphing linear functions using table of values
25.9 Graphing linear functions using x- and y-intercepts
25.10 Graphing from gradient-intercept form y=mx+b
25.11 Graphing linear functions using a single point and gradient
25.12 Word problems of graphing linear functions
25.13 Parallel and perpendicular lines in linear functions
25.14 Applications of linear relations

26. Linear equations (Advanced)

26.1 Introduction to linear equations
26.2 Introduction to nonlinear equations
26.3 Special case of linear equations: Horizontal lines
26.4 Special case of linear equations: Vertical lines
26.5 Parallel line equation
26.6 Perpendicular line equation
26.7 Combination of both parallel and perpendicular line equations
26.8 Applications of linear equations

27. Solving Simultaneous Equations

27.1 Determining number of solutions to linear equations
27.2 Solving simultaneous equations by graphing
27.3 Solving simultaneous equations by elimination
27.4 Solving simultaneous equations by substitution
27.5 Money related questions in linear equations
27.6 Unknown number related questions in linear equations
27.7 Distance and time related questions in linear equations
27.8 Rectangular shape related questions in linear equations

28. Adding and Subtracting Polynomials

28.1 Multiplying and dividing monomials
28.2 Multiplying polynomials by monomials
28.3 Dividing polynomials by monomials

29. Multiplying and Dividing Polynomials

29.1 What is a polynomial?
29.2 Polynomial components
29.3 Multiplying monomial by monomial
29.4 Multiplying monomial by binomial
29.5 Multiplying binomial by binomial
29.6 Multiplying polynomial by polynomial
29.7 Applications of polynomials

30. Factorising Polynomial Functions

30.1 Common factors of polynomials
30.2 Factorising polynomials by grouping
30.3 Solving polynomials with the unknown "b" from x^2 + bx + c
30.4 Solving polynomials with the unknown "c" from x^2 + bx + c
30.5 Factorising polynomials: x^2 + bx + c
30.6 Applications of polynomials: x^2 + bx + c
30.7 Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
30.8 Factorising polynomials: ax2+bx+cax^2 + bx + c
30.9 Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
30.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
30.11 Evaluating polynomials
30.12 Using algebra tiles to factorise polynomials
30.13 Solving polynomial equations
30.14 Word problems of polynomials

31. Quadratic Functions

31.1 Characteristics of quadratic functions
31.2 Transformations of quadratic functions
31.3 Quadratic function in general form: y = ax^2 + bx + c
31.4 Quadratic function in vertex form: y = a(x-p)^2 + q
31.5 Completing the square
31.6 Converting from general to vertex form by completing the square
31.7 Shortcut: Vertex formula
31.8 Graphing parabolas for given quadratic functions
31.9 Finding the quadratic functions for given parabolas
31.10 Applications of quadratic functions

32. Algebraic Fractions

32.1 Simplifying algebraic fractions and restrictions
32.2 Adding and subtracting algebraic fractions
32.3 Multiplying algebraic fractions
32.4 Dividing algebraic fractions
32.5 Solving equations with algebraic fractions
32.6 Applications of equations with algebraic fractions
32.7 Simplifying complex fractions
32.8 Partial fraction decomposition

33. Reciprocal Functions

33.1 Graphing reciprocals of linear functions
33.2 Graphing reciprocals of quadratic functions

34. Data and Graphs

34.1 Reading and drawing bar graphs
34.2 Reading and drawing histograms
34.3 Reading and drawing line graphs
34.4 Box-and-whisker plots and scatter plots
34.5 Pie charts
34.6 Reading and drawing Venn diagrams
34.7 Stem-and-leaf plots

35. Probability

35.1 Determining probabilities using tree diagrams and tables
35.2 Probability of independent events
35.3 Probability with Venn diagrams

36. Statistics

36.1 Median and mode
36.2 Mean
36.3 Range and outliers
36.4 Application of averages

36 Chapters · 201 Topics · 1529 Videos

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