# Transition Year Maths Help & Practice

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##### 1Number System and Radicals

##### 2Adding and Subtracting Integers

##### 3Multiplying and Dividing Integers

##### 4Rational Numbers

##### 5Solving Linear Equations

##### 6Linear Inequalities

##### 7Solving Simultaneous Equations

- 7.1Determining number of solutions to linear equations
- 7.2Solving simultaneous linear equations by graphing
- 7.3Solving simultaneous linear equations by elimination
- 7.4Solving simultaneous linear equations by substitution
- 7.5Money related questions in linear equations
- 7.6Unknown number related questions in linear equations
- 7.7Distance and time related questions in linear equations
- 7.8Rectangular shape related questions in linear equations

- 7.1Determining number of solutions to linear equations
##### 8Exponents

##### 9Exponential Functions

- 9.1Exponents: Product rule
*(a^x)(a^y) = a^(x+y)* - 9.2Exponents: Division rule (a^x / a^y) = a^(x-y)
- 9.3Exponents: Power rule
*(a^x)^y = a^(x * y)* - 9.4Exponents: Negative exponents
- 9.5Exponents: Zero exponent:
*a^0 = 1* - 9.6Exponents: Rational exponents
- 9.7Solving exponential equations using exponent rules
- 9.8Graphing exponential functions
- 9.9Graphing transformations of exponential functions
- 9.10Finding an exponential function given its graph

- 9.1Exponents: Product rule
##### 10Exponential Growth and Decay

##### 11Operations of Polynomials

##### 12Factorising Polynomial expressions

- 12.1Common factors of polynomials
- 12.2Factorising polynomials by grouping
- 12.3Solving polynomials with the unknown "b" from
*x^2 + bx + c* - 12.4Solving polynomials with the unknown "c" from
*x^2 + bx + c* - 12.5Factorising polynomials:
*x^2 + bx + c* - 12.6Applications of polynomials:
*x^2 + bx + c* - 12.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$
- 12.8Factorising polynomials: $ax^2 + bx + c$
- 12.9Factorising perfect square trinomials:
*(a + b)^2 = a^2 + 2ab + b^2*or*(a - b)^2 = a^2 - 2ab + b^2* - 12.10Find the difference of squares:
*(a - b)(a + b) = (a^2 - b^2)* - 12.11Evaluating polynomials
- 12.12Using algebra tiles to factorise polynomials
- 12.13Solving polynomial equations
- 12.14Word problems of polynomials

- 12.1Common factors of polynomials
##### 13Factorising Quadratic Functions

##### 14Quadratic Functions

- 14.1Characteristics of quadratic functions
- 14.2Transformations of quadratic functions
- 14.3Quadratic function in general form:
*y = ax^2 + bx + c* - 14.4Quadratic function in vertex form:
*y = a(x-p)^2 + q* - 14.5Completing the square
- 14.6Converting from general to vertex form by completing the square
- 14.7Shortcut: Vertex formula
- 14.8Graphing parabolas for given quadratic functions
- 14.9Finding the quadratic functions for given parabolas
- 14.10Applications of quadratic functions

- 14.1Characteristics of quadratic functions
##### 15Radicals

##### 16Rational Expressions

- 16.1Simplifying rational expressions and restrictions
- 16.2Adding and subtracting rational expressions
- 16.3Multiplying rational expressions
- 16.4Dividing rational expressions
- 16.5Solving rational equations
- 16.6Applications of rational equations
- 16.7Simplifying complex fractions
- 16.8Partial fraction decomposition

- 16.1Simplifying rational expressions and restrictions
##### 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

- 25.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 25.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 25.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )
- 25.4Combination of SohCahToa questions
- 25.5Solving expressions using 45-45-90 special right triangles
- 25.6Solving expressions using 30-60-90 special right triangles
- 25.7Word problems relating ladder in trigonometry
- 25.8Word problems relating guy wire in trigonometry
- 25.9Other word problems relating angles in trigonometry

- 25.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
##### 26Surface Area and Volume

##### 27Probability

##### 28Data and Graphs

##### 29Statistics