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1Number System and Radicals
1. 1.1Understanding the number systems
2. 1.2Prime factorisation
3. 1.3Greatest Common Factors (GCF)
4. 1.4Least Common Multiple (LCM)
5. 1.5Rational vs. Irrational numbers
6. 1.6Converting repeating decimals to fractions
2Ratios, Rates, and Proportions
1. 2.1Ratios
2. 2.2Rates
3. 2.3Proportions
3Percents
1. 3.1Representing percents
2. 3.2Percents, fractions, and decimals
3. 3.3Percent of a number
4. 3.4Adding and multiplying percents
5. 3.5Taxes, discounts, tips and more
6. 3.6Simple interest
4Measuring Systems
1. 4.1Metric systems
2. 4.2Imperial systems
3. 4.3Conversions between metric and imperial systems
4. 4.4Conversions involve squares and cubic
5Coordinates, Quadrants, and Transformations
1. 5.1Cartesian plane
2. 5.2Draw on coordinate planes
3. 5.3Introduction to transformations
4. 5.4Horizontal and vertical distances
6Angles, Lines, and Transversals
1. 6.1Pairs of lines and angles
2. 6.2Parallel lines and transversals
3. 6.3Parallel line proofs
4. 6.4Perpendicular line proofs
7Properties of Triangles
1. 7.1Classifying triangles
2. 7.2Isosceles and equilateral triangles
8Circles
1. 8.1Circles and circumference
2. 8.2Angles in a circle
3. 8.3Arcs of a circle
4. 8.4Areas and sectors of circles
9Congruent Triangles
1. 9.1Congruence and congruent triangles
2. 9.2Triangles congruent by SSS proofs
3. 9.3Triangles congruent by SAS and HL proofs
4. 9.4Triangles congruent by ASA and AAS proofs
10Symmetry and Surface Area
1. 10.1Line symmetry
2. 10.2Rotational symmetry and transformations
3. 10.3Surface area of 3-dimensional shapes
11Scale Factors and Similarity
1. 11.1Enlargements and reductions with scale factors
2. 11.2Scale diagrams
3. 11.3Similar triangles
4. 11.4Similar polygons
12Pythagorean Theorem
1. 12.1Squares and square roots
2. 12.2Pythagorean theorem
3. 12.3Estimating square roots
4. 12.4Using the pythagorean relationship
5. 12.5Applications of pythagorean theorem
13Introduction to 3-Dimensional Figures
1. 13.1Introduction to surface area of 3-dimensional shapes
2. 13.2Nets of 3-dimensional shapes
3. 13.3Surface area of prisms
4. 13.4Surface area of cylinders
14Volume
1. 14.1Introduction to volume
2. 14.2Volume of prisms
3. 14.3Volume of cylinders
4. 14.4Word problems relating volume of prisms and cylinders
15Introduction to Trigonometry
1. 15.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ $\frac{o}{h}$ )
2. 15.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ $\frac{a}{h}$ )
3. 15.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ $\frac{o}{a}$ )
4. 15.4Combination of SohCahToa questions
5. 15.5Solving expressions using 45-45-90 special right triangles
6. 15.6Solving expressions using 30-60-90 special right triangles
7. 15.7Word problems relating ladder in trigonometry
8. 15.8Word problems relating guy wire in trigonometry
9. 15.9Other word problems relating angles in trigonometry
16Patterns and Solving Equations
1. 16.1Patterns
2. 16.2Evaluating algebraic expressions
3. 16.3Solving one - step equations: x + a = b
4. 16.4Graphing linear relations
17Introduction to Linear Relations
1. 17.1Representing patterns in linear relations
2. 17.2Reading linear relation graphs
3. 17.3Solving linear equations by graphing
18Linear Inequalities
1. 18.1Express linear inequalities graphically and algebraically
2. 18.2Solving one-step linear inequalities
3. 18.3Solving multi-step linear inequalities
4. 18.4Compound inequalities
19Introduction to Relations and Functions
1. 19.1Relationship between two variables
2. 19.2Understand relations between x- and y-intercepts
3. 19.3Domain and range of a function
4. 19.4Identifying functions
5. 19.5Function notation
20Data and Graphs
1. 20.1Reading and drawing bar graphs
2. 20.2Reading and drawing histograms
3. 20.3Reading and drawing line graphs
4. 20.4Box-and-whisker plots and scatter plots
5. 20.5Stem-and-leaf plots
6. 20.6Circle graphs
7. 20.7Reading and drawing Venn diagrams
8. 20.8Frequency tables and dot plots
21Linear Functions
1. 21.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$
2. 21.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$ $M = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})$
3. 21.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$ $m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}$
4. 21.4Gradient intercept form: y = mx + b
5. 21.5General form: Ax + By + C = 0
6. 21.6Gradient-point form: $y - y_1 = m (x - x_1)$ $y - y_{1} = m (x - x_{1})$
7. 21.7Rate of change
8. 21.8Graphing linear functions using table of values
9. 21.9Graphing linear functions using x- and y-intercepts
10. 21.10Graphing from gradient-intercept form y=mx+b
11. 21.11Graphing linear functions using a single point and gradient
12. 21.12Word problems of graphing linear functions
13. 21.13Parallel and perpendicular lines in linear functions
14. 21.14Applications of linear relations
22Linear Equations
1. 22.1Introduction to linear equations
2. 22.2Introduction to nonlinear equations
3. 22.3Special case of linear equations: Horizontal lines
4. 22.4Special case of linear equations: Vertical lines
5. 22.5Parallel line equation
6. 22.6Perpendicular line equation
7. 22.7Combination of both parallel and perpendicular line equations
8. 22.8Applications of linear equations
23Solving Simultaneous Equations
1. 23.1Determining number of solutions to linear equations
2. 23.2Solving simultaneous equations by graphing
3. 23.3Solving simultaneous equations by elimination
4. 23.4Solving simultaneous equations by substitution
5. 23.5Money related questions in linear equations
6. 23.6Unknown number related questions in linear equations
7. 23.7Distance and time related questions in linear equations
8. 23.8Rectangular shape related questions in linear equations
24Exponents
1. 24.1Product rule of exponents
2. 24.2Quotient rule of exponents
3. 24.3Power of a product rule
4. 24.4Power of a quotient rule
5. 24.5Power of a power rule
6. 24.6Negative exponent rule
7. 24.7Combining the exponent rules
8. 24.8Scientific notation
9. 24.9Convert between radicals and rational exponents
10. 24.10Solving for exponents
25Quadratic Functions
1. 25.1Characteristics of quadratic functions
2. 25.2Transformations of quadratic functions
3. 25.3Quadratic function in general form: y = ax^2 + bx + c
4. 25.4Quadratic function in vertex form: y = a(x-p)^2 + q
5. 25.5Completing the square
6. 25.6Converting from general to vertex form by completing the square
7. 25.7Shortcut: Vertex formula
8. 25.8Graphing parabolas for given quadratic functions
9. 25.9Finding the quadratic functions for given parabolas
10. 25.10Applications of quadratic functions
26Polynomials
1. 26.1Characteristics of polynomials
2. 26.2Equivalent expressions of polynomials
3. 26.3Adding and subtracting polynomials
27Operations of Polynomials
1. 27.1What is a polynomial?
2. 27.2Using algebra tiles to factorise polynomials
28Factorising Polynomial expressions
1. 28.1Common factors of polynomials
2. 28.2Factorising polynomials by grouping
3. 28.3Solving polynomials with the unknown "b" from x^2 + bx + c
4. 28.4Solving polynomials with the unknown "c" from x^2 + bx + c
5. 28.5Factorising polynomials: x^2 + bx + c
6. 28.6Applications of polynomials: x^2 + bx + c
7. 28.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$ $a x^{2} + b x + c$
8. 28.8Factorising polynomials: $ax^2 + bx + c$ $a x^{2} + b x + c$
9. 28.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
10. 28.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
11. 28.11Evaluating polynomials
12. 28.12Solving polynomial equations
13. 28.13Word problems of polynomials
29Radicals
1. 29.1Square and square roots
2. 29.2Cubic and cube roots
3. 29.3Evaluating and simplifying radicals
4. 29.4Converting radicals to mixed radicals
5. 29.5Converting radicals to entire radicals
6. 29.6Adding and subtracting radicals
7. 29.7Multiplying and dividing radicals
8. 29.8Rationalize the denominator
30Rational Expressions
1. 30.1Simplifying rational expressions and restrictions
2. 30.2Adding and subtracting rational expressions
3. 30.3Multiplying rational expressions
4. 30.4Dividing rational expressions
5. 30.5Solving rational equations
6. 30.6Applications of rational equations
7. 30.7Simplifying complex fractions
8. 30.8Partial fraction decomposition
31Reciprocal Functions
1. 31.1Graphing reciprocals of linear functions
2. 31.2Graphing reciprocals of quadratic functions
32Probability
1. 32.1Determining probabilities using tree diagrams and tables
2. 32.2Probability of independent events
3. 32.3Probability with Venn diagrams

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Third Year Maths Help & Practice

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1Number System and Radicals ?

2Ratios, Rates, and Proportions

3Percents

4Measuring Systems

5Coordinates, Quadrants, and Transformations

6Angles, Lines, and Transversals

7Properties of Triangles

8Circles

9Congruent Triangles

10Symmetry and Surface Area

11Scale Factors and Similarity

12Pythagorean Theorem

13Introduction to 3-Dimensional Figures

14Volume

15Introduction to Trigonometry

16Patterns and Solving Equations

17Introduction to Linear Relations

18Linear Inequalities

19Introduction to Relations and Functions

20Data and Graphs

21Linear Functions

22Linear Equations

23Solving Simultaneous Equations

24Exponents

25Quadratic Functions

26Polynomials

27Operations of Polynomials

28Factorising Polynomial expressions

29Radicals

30Rational Expressions

31Reciprocal Functions

32Probability

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1Number System and Radicals