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Third Year Maths Topics

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1. Number System and Radicals

1.1 Understanding the number systems
1.2 Prime factorisation
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. Ratios, Rates, and Proportions

2.1 Ratios
2.2 Rates
2.3 Proportions

3. Percents

3.1 Representing percents
3.2 Percents, fractions, and decimals
3.3 Percent of a number
3.4 Adding and multiplying percents
3.5 Taxes, discounts, tips and more
3.6 Simple interest

4. Measuring Systems

4.1 Metric systems
4.2 Imperial systems
4.3 Conversions between metric and imperial systems
4.4 Conversions involve squares and cubic

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

7. Properties of Triangles

7.1 Classifying triangles
7.2 Isosceles and equilateral triangles

8. Circles

8.1 Circles and circumference
8.2 Angles in a circle
8.3 Arcs of a circle
8.4 Areas and sectors of circles

9. Congruent Triangles

9.1 Congruence and congruent triangles
9.2 Triangles congruent by SSS proofs
9.3 Triangles congruent by SAS and HL proofs
9.4 Triangles congruent by ASA and AAS proofs

10. Symmetry and Surface Area

10.1 Line symmetry
10.2 Rotational symmetry and transformations
10.3 Surface area of 3-dimensional shapes

11. Scale Factors and Similarity

11.1 Enlargements and reductions with scale factors
11.2 Scale diagrams
11.3 Similar triangles
11.4 Similar polygons

12. Pythagorean Theorem

12.1 Squares and square roots
12.2 Pythagorean theorem
12.3 Estimating square roots
12.4 Using the pythagorean relationship
12.5 Applications of pythagorean theorem

13. Introduction to 3-Dimensional Figures

13.1 Introduction to surface area of 3-dimensional shapes
13.2 Nets of 3-dimensional shapes
13.3 Surface area of prisms
13.4 Surface area of cylinders

14. Volume

14.1 Introduction to volume
14.2 Volume of prisms
14.3 Volume of cylinders
14.4 Word problems relating volume of prisms and cylinders

15. Introduction to 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. Patterns and Solving Equations

16.1 Patterns
16.2 Evaluating algebraic expressions
16.3 Solving one - step equations: x + a = b
16.4 Graphing linear relations

17. Introduction to Linear Relations

17.1 Representing patterns in linear relations
17.2 Reading linear relation graphs
17.3 Solving linear equations by graphing

18. Linear Inequalities

18.1 Express linear inequalities graphically and algebraically
18.2 Solving one-step linear inequalities
18.3 Solving multi-step linear inequalities
18.4 Compound inequalities

19. Introduction to Relations and Functions

19.1 Relationship between two variables
19.2 Understand relations between x- and y-intercepts
19.3 Domain and range of a function
19.4 Identifying functions
19.5 Function notation

20. Data and Graphs

20.1 Reading and drawing bar graphs
20.2 Reading and drawing histograms
20.3 Reading and drawing line graphs
20.4 Box-and-whisker plots and scatter plots
20.5 Stem-and-leaf plots
20.6 Circle graphs
20.7 Reading and drawing Venn diagrams
20.8 Frequency tables and dot plots

21. Linear Functions

21.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
21.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
21.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
21.4 Gradient intercept form: y = mx + b
21.5 General form: Ax + By + C = 0
21.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
21.7 Rate of change
21.8 Graphing linear functions using table of values
21.9 Graphing linear functions using x- and y-intercepts
21.10 Graphing from gradient-intercept form y=mx+b
21.11 Graphing linear functions using a single point and gradient
21.12 Word problems of graphing linear functions
21.13 Parallel and perpendicular lines in linear functions
21.14 Applications of linear relations

22. Linear Equations

22.1 Introduction to linear equations
22.2 Introduction to nonlinear equations
22.3 Special case of linear equations: Horizontal lines
22.4 Special case of linear equations: Vertical lines
22.5 Parallel line equation
22.6 Perpendicular line equation
22.7 Combination of both parallel and perpendicular line equations
22.8 Applications of linear equations

23. Solving Simultaneous Equations

23.1 Determining number of solutions to linear equations
23.2 Solving simultaneous equations by graphing
23.3 Solving simultaneous equations by elimination
23.4 Solving simultaneous equations by substitution
23.5 Money related questions in linear equations
23.6 Unknown number related questions in linear equations
23.7 Distance and time related questions in linear equations
23.8 Rectangular shape related questions in linear equations

24. Exponents

24.1 Product rule of exponents
24.2 Quotient rule of exponents
24.3 Power of a product rule
24.4 Power of a quotient rule
24.5 Power of a power rule
24.6 Negative exponent rule
24.7 Combining the exponent rules
24.8 Scientific notation
24.9 Convert between radicals and rational exponents
24.10 Solving for exponents

25. Quadratic Functions

25.1 Characteristics of quadratic functions
25.2 Transformations of quadratic functions
25.3 Quadratic function in general form: y = ax^2 + bx + c
25.4 Quadratic function in vertex form: y = a(x-p)^2 + q
25.5 Completing the square
25.6 Converting from general to vertex form by completing the square
25.7 Shortcut: Vertex formula
25.8 Graphing parabolas for given quadratic functions
25.9 Finding the quadratic functions for given parabolas
25.10 Applications of quadratic functions

26. Polynomials

26.1 Characteristics of polynomials
26.2 Equivalent expressions of polynomials
26.3 Adding and subtracting polynomials

27. Operations of Polynomials

27.1 What is a polynomial?
27.2 Using algebra tiles to factorise polynomials

28. Factorising Polynomial expressions

28.1 Common factors of polynomials
28.2 Factorising polynomials by grouping
28.3 Solving polynomials with the unknown "b" from x^2 + bx + c
28.4 Solving polynomials with the unknown "c" from x^2 + bx + c
28.5 Factorising polynomials: x^2 + bx + c
28.6 Applications of polynomials: x^2 + bx + c
28.7 Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
28.8 Factorising polynomials: ax2+bx+cax^2 + bx + c
28.9 Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
28.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
28.11 Evaluating polynomials
28.12 Solving polynomial equations
28.13 Word problems of polynomials

29. Radicals

29.1 Square and square roots
29.2 Cubic and cube roots
29.3 Evaluating and simplifying radicals
29.4 Converting radicals to mixed radicals
29.5 Converting radicals to entire radicals
29.6 Adding and subtracting radicals
29.7 Multiplying and dividing radicals
29.8 Rationalize the denominator

30. Rational Expressions

30.1 Simplifying rational expressions and restrictions
30.2 Adding and subtracting rational expressions
30.3 Multiplying rational expressions
30.4 Dividing rational expressions
30.5 Solving rational equations
30.6 Applications of rational equations
30.7 Simplifying complex fractions
30.8 Partial fraction decomposition

31. Reciprocal Functions

31.1 Graphing reciprocals of linear functions
31.2 Graphing reciprocals of quadratic functions

32. Probability

32.1 Determining probabilities using tree diagrams and tables
32.2 Probability of independent events
32.3 Probability with Venn diagrams

32 Chapters · 179 Topics · 1275 Videos

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