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Secondary 3 Maths Topics

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1. Number System and Radicals

1.1 Understanding the number systems
1.2 Prime factorization
1.3 Greatest Common Factors (GCF)
1.4 Least Common Multiple (LCM)
1.5 Rational vs. Irrational numbers
1.6 Converting repeating decimals to fractions

2. Rational Numbers

2.1 Comparing and ordering rational numbers
2.2 Solving problems with rational numbers in decimal form
2.3 Solving problems with rational numbers in fraction form
2.4 Determine square roots of rational numbers

3. Ratios, Rates, and Proportions

3.1 Ratios
3.2 Rates
3.3 Proportions

4. Percents

4.1 Representing percents
4.2 Percents, fractions, and decimals
4.3 Percent of a number
4.4 Adding and multiplying percents
4.5 Taxes, discounts, tips and more
4.6 Simple interest

5. Coordinates, Quadrants, and Transformations

5.1 Cartesian plane
5.2 Draw on coordinate planes
5.3 Introduction to transformations
5.4 Horizontal and vertical distances

6. Angles, Lines and Transversals

6.1 Pairs of lines and angles
6.2 Parallel lines and transversals
6.3 Parallel line proofs
6.4 Perpendicular line proofs
6.5 Parallel and perpendicular line segments
6.6 Perpendicular bisectors
6.7 Angle Bisectors

7. Properties of Triangles

7.1 Classifying Triangles
7.2 Isosceles and Equilateral Triangles

8. Congruent Triangles

8.1 Congruence and Congruent Triangles
8.2 Triangles Congruent by SSS Proofs
8.3 Triangles Congruent by SAS and HL Proofs
8.4 Triangles Congruent by ASA and AAS Proofs

9. Symmetry and Surface Area

9.1 Line symmetry
9.2 Rotational symmetry and transformations
9.3 Surface area of 3-dimensional shapes

10. Pythagorean Theorem

10.1 Squares and square roots
10.2 Pythagorean theorem
10.3 Estimating square roots
10.4 Using the pythagorean relationship
10.5 Applications of pythagorean theorem

11. Surface Area of 3D Shapes

11.1 Introduction to surface area of 3-dimensional shapes
11.2 Nets of 3-dimensional shapes
11.3 Surface area of prisms
11.4 Surface area of cylinders

12. Circle Geometry

12.1 Angles in a circle
12.2 Chord properties
12.3 Tangent properties
12.4 Circles and circumference
12.5 Arcs of a circle
12.6 Areas and sectors of circles
12.7 Inscribed Angles and Proofs
12.8 Central and inscribed angles in circles

13. Volume of 3D Shapes

13.1 Introduction to volume
13.2 Volume of prisms
13.3 Volume of cylinders
13.4 Word problems relating volume of prisms and cylinders

14. Scale Factors and Similarity

14.1 Enlargements and reductions with scale factors
14.2 Scale diagrams
14.3 Similar triangles
14.4 Similar polygons

15. Trigonometry

15.1 Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
15.2 Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
15.3 Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
15.4 Combination of SohCahToa questions
15.5 Solving expressions using 45-45-90 special right triangles
15.6 Solving expressions using 30-60-90 special right triangles
15.7 Word problems relating ladder in trigonometry
15.8 Word problems relating guy wire in trigonometry
15.9 Other word problems relating angles in trigonometry

16. Solving Linear Equations

16.1 Solving linear equations using multiplication and division
16.2 Solving two-step linear equations: ax + b = c, x/a + b = c
16.3 Solving linear equations using distributive property: a(x + b) = c
16.4 Solving linear equations with variables on both sides
16.5 Solving literal equations

17. Linear Inequalities

17.1 Express linear inequalities graphically and algebraically
17.2 Solving one-step linear inequalities
17.3 Solving multi-step linear inequalities
17.4 Compound inequalities

18. Introduction to Relations and Functions

18.1 Relationship between two variables
18.2 Understand relations between x- and y-intercepts
18.3 Domain and range of a function
18.4 Identifying functions
18.5 Function notation

19. Linear Functions

19.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
19.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
19.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
19.4 Gradient intercept form: y = mx + b
19.5 General form: Ax + By + C = 0
19.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
19.7 Rate of change
19.8 Graphing linear functions using table of values
19.9 Graphing linear functions using x- and y-intercepts
19.10 Graphing from gradient-intercept form y=mx+b
19.11 Graphing linear functions using a single point and gradient
19.12 Word problems of graphing linear functions
19.13 Parallel and perpendicular lines in linear functions
19.14 Applications of linear relations

20. Linear equations (Advanced)

20.1 Introduction to linear equations
20.2 Introduction to nonlinear equations
20.3 Special case of linear equations: Horizontal lines
20.4 Special case of linear equations: Vertical lines
20.5 Parallel line equation
20.6 Perpendicular line equation
20.7 Combination of both parallel and perpendicular line equations
20.8 Applications of linear equations

21. Solving Simultaneous Equations

21.1 Determining number of solutions to linear equations
21.2 Solving simultaneous equations by graphing
21.3 Solving simultaneous equations by elimination
21.4 Solving simultaneous equations by substitution
21.5 Money related questions in linear equations
21.6 Unknown number related questions in linear equations
21.7 Distance and time related questions in linear equations
21.8 Rectangular shape related questions in linear equations

22. Exponents

22.1 Product rule of exponents
22.2 Quotient rule of exponents
22.3 Power of a product rule
22.4 Power of a quotient rule
22.5 Power of a power rule
22.6 Negative exponent rule
22.7 Combining the exponent rules
22.8 Scientific notation
22.9 Convert between radicals and rational exponents
22.10 Solving for exponents

23. Operations of Polynomials

23.1 What is a polynomial?
23.2 Polynomial components
23.3 Multiplying monomial by monomial
23.4 Multiplying monomial by binomial
23.5 Multiplying binomial by binomial
23.6 Multiplying polynomial by polynomial
23.7 Applications of polynomials

24. Exponential Functions

24.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
24.2 Exponents: Division rule (a^x / a^y) = a^(x-y)
24.3 Exponents: Power rule (a^x)^y = a^(x * y)
24.4 Exponents: Negative exponents
24.5 Exponents: Zero exponent: a^0 = 1
24.6 Exponents: Rational exponents
24.7 Graphing exponential functions
24.8 Graphing transformations of exponential functions
24.9 Finding an exponential function given its graph

25. Factorising Polynomial Functions

25.1 Common factors of polynomials
25.2 Factorising polynomials by grouping
25.3 Solving polynomials with the unknown "b" from x^2 + bx + c
25.4 Solving polynomials with the unknown "c" from x^2 + bx + c
25.5 Factorising polynomials: x^2 + bx + c
25.6 Applications of polynomials: x^2 + bx + c
25.7 Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
25.8 Factorising polynomials: ax2+bx+cax^2 + bx + c
25.9 Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
25.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
25.11 Evaluating polynomials
25.12 Using algebra tiles to factorise polynomials
25.13 Solving polynomial equations
25.14 Word problems of polynomials

26. Quadratic Functions

26.1 Characteristics of quadratic functions
26.2 Transformations of quadratic functions
26.3 Quadratic function in general form: y = ax^2 + bx + c
26.4 Quadratic function in vertex form: y = a(x-p)^2 + q
26.5 Completing the square
26.6 Converting from general to vertex form by completing the square
26.7 Shortcut: Vertex formula
26.8 Graphing parabolas for given quadratic functions
26.9 Finding the quadratic functions for given parabolas
26.10 Applications of quadratic functions

27. Algebraic Fractions

27.1 Simplifying algebraic fractions and restrictions
27.2 Adding and subtracting algebraic fractions
27.3 Multiplying algebraic fractions
27.4 Dividing algebraic fractions
27.5 Solving equations with algebraic fractions
27.6 Applications of equations with algebraic fractions
27.7 Simplifying complex fractions
27.8 Partial fraction decomposition

28. Reciprocal Functions

28.1 Graphing reciprocals of linear functions
28.2 Graphing reciprocals of quadratic functions

29. Direct and Inverse Variation

29.1 Direct variation

30. Probability

30.1 Determining probabilities using tree diagrams and tables
30.2 Probability of independent events
30.3 Probability with Venn diagrams

31. Statistics

31.1 Median and mode
31.2 Mean
31.3 Range and outliers
31.4 Application of averages
31.5 Circle graphs

32. Introduction to Matrices

32.1 Notation of matrices
32.2 Adding and subtracting matrices
32.3 Scalar multiplication
32.4 Matrix multiplication
32.5 The three types of matrix row operations
32.6 Representing a linear system as a matrix
32.7 Solving a linear system with matrices using Gaussian elimination

32 Chapters · 193 Topics · 1328 Videos

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