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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
2Adding and Subtracting Integers
1. 2.1Introduction to integer addition
2. 2.2Adding integers
3. 2.3Introduction to integer subtraction
4. 2.4Subtracting integers
5. 2.5Application of integer operations
3Multiplying and Dividing Integers
1. 3.1Understanding integer multiplication
2. 3.2Multiplying integers
3. 3.3Understanding integer division
4. 3.4Dividing integers
5. 3.5Applications of integer operations
4Rational Numbers
1. 4.1Comparing and ordering rational numbers
2. 4.2Solving problems with rational numbers in decimal form
3. 4.3Solving problems with rational numbers in fraction form
4. 4.4Determine square roots of rational numbers
5Solving Linear Equations
1. 5.1Solving linear equations using multiplication and division
2. 5.2Solving two-step linear equations: $ax + b = c$ $a x + b = c$ , ${x \over a} + b = c$ $\frac{x}{a} + b = c$
3. 5.3Solving linear equations using distributive property: $a(x + b) = c$ $a (x + b) = c$
4. 5.4Solving linear equations with variables on both sides
5. 5.5Solving literal equations
6Linear Inequalities
1. 6.1Express linear inequalities graphically and algebraically
2. 6.2Solving one-step linear inequalities
3. 6.3Solving multi-step linear inequalities
4. 6.4Compound inequalities
7Solving Simultaneous Equations
1. 7.1Determining number of solutions to linear equations
2. 7.2Solving simultaneous linear equations by graphing
3. 7.3Solving simultaneous linear equations by elimination
4. 7.4Solving simultaneous linear equations by substitution
5. 7.5Money related questions in linear equations
6. 7.6Unknown number related questions in linear equations
7. 7.7Distance and time related questions in linear equations
8. 7.8Rectangular shape related questions in linear equations
8Exponents
1. 8.1Product rule of exponents
2. 8.2Quotient rule of exponents
3. 8.3Power of a product rule
4. 8.4Power of a quotient rule
5. 8.5Power of a power rule
6. 8.6Negative exponent rule
7. 8.7Combining the exponent rules
8. 8.8Scientific notation
9. 8.9Convert between radicals and rational exponents
10. 8.10Solving for exponents
9Exponential Functions
1. 9.1Exponents: Product rule $(a^x)(a^y)=a^{(x+y)}$ $(a^{x}) (a^{y}) = a^{(x + y)}$
2. 9.2Exponents: Division rule ${a^x \over a^y}=a^{(x-y)}$ $\frac{a ^{x}}{a ^{y}} = a^{(x - y)}$
3. 9.3Exponents: Power rule $(a^x)^y = a^{(x\cdot y)}$ $(a^{x})^{y} = a^{(x \cdot y)}$
4. 9.4Exponents: Negative exponents
5. 9.5Exponents: Zero exponent: $a^0 = 1$ $a^{0} = 1$
6. 9.6Exponents: Rational exponents
7. 9.7Solving exponential equations using exponent rules
8. 9.8Graphing exponential functions
9. 9.9Graphing transformations of exponential functions
10. 9.10Finding an exponential function given its graph
10Exponential Growth and Decay
1. 10.1Exponential growth and decay by a factor
2. 10.2Exponential decay: Half-life
3. 10.3Exponential growth and decay by percentage
4. 10.4Continuous growth and decay
11Operations of Polynomials
1. 11.1What is a polynomial?
2. 11.2Polynomial components
3. 11.3Multiplying monomial by monomial
4. 11.4Multiplying monomial by binomial
5. 11.5Multiplying binomial by binomial
6. 11.6Multiplying polynomial by polynomial
7. 11.7Applications of polynomials
12Factorising Polynomial expressions
1. 12.1Common factors of polynomials
2. 12.2Factorising polynomials by grouping
3. 12.3Solving polynomials with the unknown "b" from $x^2 + bx + c$ $x^{2} + b x + c$
4. 12.4Solving polynomials with the unknown "c" from $x^2 + bx + c$ $x^{2} + b x + c$
5. 12.5Factorising polynomials: $x^2 + bx + c$ $x^{2} + b x + c$
6. 12.6Applications of polynomials: $x^2 + bx + c$ $x^{2} + b x + c$
7. 12.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$ $a x^{2} + b x + c$
8. 12.8Factorising polynomials: $ax^2 + bx + c$ $a x^{2} + b x + c$
9. 12.9Factorising perfect square trinomials: $(a + b)^2 = a^2 + 2ab + b^2$ $(a + b)^{2} = a^{2} + 2 ab + b^{2}$ or $(a - b)^2 = a^2 - 2ab + b^2$ $(a - b)^{2} = a^{2} - 2 ab + b^{2}$
10. 12.10Find the difference of squares: $(a - b)(a + b) = (a^2 - b^2)$ $(a - b) (a + b) = (a^{2} - b^{2})$
11. 12.11Evaluating polynomials
12. 12.12Using algebra tiles to factorise polynomials
13. 12.13Solving polynomial equations
14. 12.14Word problems of polynomials
13Factorising Quadratic Functions
1. 13.1Factorise by taking out the greatest common factor
2. 13.2Factorise by grouping
3. 13.3Factorising difference of squares: $x^2 - y^2$ $x^{2} - y^{2}$
4. 13.4Factorising trinomials
5. 13.5Factoring difference of cubes
6. 13.6Factoring sum of cubes
14Quadratic Functions
1. 14.1Characteristics of quadratic functions
2. 14.2Transformations of quadratic functions
3. 14.3Quadratic function in general form: $y = ax^2 + bx+c$ $y = a x^{2} + b x + c$
4. 14.4Quadratic function in vertex form: y = $a(x-p)^2 + q$ $a (x - p)^{2} + q$
5. 14.5Completing the square
6. 14.6Converting from general to vertex form by completing the square
7. 14.7Shortcut: Vertex formula
8. 14.8Graphing parabolas for given quadratic functions
9. 14.9Finding the quadratic functions for given parabolas
10. 14.10Applications of quadratic functions
15Radicals
1. 15.1Square and square roots
2. 15.2Cubic and cube roots
3. 15.3Evaluating and simplifying radicals
4. 15.4Converting radicals to mixed radicals
5. 15.5Converting radicals to entire radicals
6. 15.6Adding and subtracting radicals
7. 15.7Multiplying and dividing radicals
8. 15.8Rationalize the denominator
16Rational Expressions
1. 16.1Simplifying rational expressions and restrictions
2. 16.2Adding and subtracting rational expressions
3. 16.3Multiplying rational expressions
4. 16.4Dividing rational expressions
5. 16.5Solving rational equations
6. 16.6Applications of rational equations
7. 16.7Simplifying complex fractions
8. 16.8Partial fraction decomposition
17Reciprocal Functions
1. 17.1Graphing reciprocals of linear functions
2. 17.2Graphing reciprocals of quadratic functions
18Coordinates, Quadrants, and Transformations
1. 18.1Cartesian plane
2. 18.2Draw on coordinate planes
3. 18.3Introduction to transformations
4. 18.4Horizontal and vertical distances
19Angles, Lines and Transversals
1. 19.1Pairs of lines and angles
2. 19.2Parallel lines and transversals
3. 19.3Parallel line proofs
4. 19.4Perpendicular line proofs
20Properties of Triangles
1. 20.1Classifying triangles
2. 20.2Isosceles and equilateral triangles
21Circles
1. 21.1Circles and circumference
2. 21.2Angles in a circle
3. 21.3Arcs of a circle
4. 21.4Areas and sectors of circles
22Congruent Triangles
1. 22.1Congruence and congruent triangles
2. 22.2Triangles congruent by SSS proofs
3. 22.3Triangles congruent by SAS and HL proofs
4. 22.4Triangles congruent by ASA and AAS proofs
23Scale Factors and Similarity
1. 23.1Enlargements and reductions with scale factors
2. 23.2Scale diagrams
3. 23.3Similar triangles
4. 23.4Similar polygons
24Pythagorean Theorem
1. 24.1Squares and square roots
2. 24.2Pythagorean theorem
3. 24.3Estimating square roots
4. 24.4Using the pythagorean relationship
5. 24.5Applications of pythagorean theorem
25Introduction to Trigonometry
1. 25.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ $\frac{o}{h}$ )
2. 25.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ $\frac{a}{h}$ )
3. 25.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ $\frac{o}{a}$ )
4. 25.4Combination of SohCahToa questions
5. 25.5Solving expressions using 45-45-90 special right triangles
6. 25.6Solving expressions using 30-60-90 special right triangles
7. 25.7Word problems relating ladder in trigonometry
8. 25.8Word problems relating guy wire in trigonometry
9. 25.9Other word problems relating angles in trigonometry
26Surface Area and Volume
1. 26.1Surface area and volume of prisms
2. 26.2Surface area and volume of pyramids
3. 26.3Surface area and volume of cylinders
4. 26.4Surface area and volume of cones
5. 26.5Surface area and volume of spheres
27Probability
1. 27.1Determining probabilities using tree diagrams and tables
2. 27.2Probability of independent events
3. 27.3Fundamental counting principle
4. 27.4Factorial notation
5. 27.5Probability with Venn diagrams
28Data and Graphs
1. 28.1Reading and drawing bar graphs
2. 28.2Reading and drawing histograms
3. 28.3Reading and drawing line graphs
4. 28.4Box-and-whisker plots and scatter plots
5. 28.5Stem-and-leaf plots
6. 28.6Pie charts
7. 28.7Reading and drawing Venn diagrams
8. 28.8Frequency tables and dot plots
29Statistics
1. 29.1Median and mode
2. 29.2Mean
3. 29.3Range and outliers
4. 29.4Application of averages

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Transition Year Maths made completely easy!

1Number System and Radicals

2Adding and Subtracting Integers

3Multiplying and Dividing Integers

4Rational Numbers

5Solving Linear Equations

6Linear Inequalities

7Solving Simultaneous Equations

8Exponents

9Exponential Functions

10Exponential Growth and Decay

11Operations of Polynomials

12Factorising Polynomial expressions

13Factorising Quadratic Functions

14Quadratic Functions

15Radicals

16Rational Expressions

17Reciprocal Functions

18Coordinates, Quadrants, and Transformations

19Angles, Lines and Transversals

20Properties of Triangles

21Circles

22Congruent Triangles

23Scale Factors and Similarity

24Pythagorean Theorem

25Introduction to Trigonometry

26Surface Area and Volume

27Probability

28Data and Graphs

29Statistics

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