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Expert Transition Year Maths Help With Video Solutions & Practice

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Aoife K.

4th Year, St. Mary's Secondary School, Dublin

Liam M.

4th Year, Coláiste Eoin, Galway

Siobhan O.

Mother of 4th Year student, Cork

Mr. Ryan

Maths Teacher, 15 years experience, Dublin

Eoin D.

4th Year, Presentation College, Kilkenny

Niamh C.

4th Year, Loreto Secondary School, Wexford

Conor B.

4th Year, CBS Secondary School, Kilkenny

Mrs. Murphy

Mother of two 4th Year students, Limerick

Ciara F.

4th Year, Scoil Mhuire, Cork

Darragh H.

4th Year, St. Gerald's College, Mayo

Ms. O'Brien

Maths Department Head, 20 years experience

Roisin M.

4th Year, Mercy Secondary School, Sligo

Sean O.

4th Year, Gonzaga College, Dublin

Mrs. Kelly

Mother of 4th Year student, Waterford

Aisling L.

4th Year, Ursuline Secondary School, Tipperary

Transition Year Maths Topics

Number System and Radicals

Understanding the number systems

Prime factorisation

Greatest Common Factors (GCF)

Least Common Multiple (LCM)

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Adding and Subtracting Integers

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Application of integer operations

Multiplying and Dividing Integers

Understanding integer multiplication

Multiplying integers

Understanding integer division

Dividing integers

Applications of integer operations

Rational Numbers

Comparing and ordering rational numbers

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Determine square roots of rational numbers

Solving Linear Equations

Solving linear equations using multiplication and division

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Solving literal equations

Linear Inequalities

Express linear inequalities graphically and algebraically

Solving one-step linear inequalities

Solving multi-step linear inequalities

Compound inequalities

Solving Simultaneous Equations

Determining number of solutions to linear equations

Solving simultaneous linear equations by graphing

Solving simultaneous linear equations by elimination

Solving simultaneous linear equations by substitution

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Exponents

Product rule of exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

Solving for exponents

Exponential Functions

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Division rule (a^x / a^y) = a^(x-y)

Exponents: Power rule (a^x)^y = a^(x * y)

Exponents: Negative exponents

Exponents: Zero exponent: a^0 = 1

Exponents: Rational exponents

Solving exponential equations using exponent rules

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

Exponential Growth and Decay

Exponential growth and decay by a factor

Exponential decay: Half-life

Exponential growth and decay by percentage

Continuous growth and decay

Operations of Polynomials

What is a polynomial?

Polynomial components

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

Factorising Polynomial expressions

Common factors of polynomials

Factorising polynomials by grouping

Solving polynomials with the unknown "b" from x^2 + bx + c

Solving polynomials with the unknown "c" from x^2 + bx + c

Factorising polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Solving polynomials with the unknown "b" from \(ax^2 + bx + c\)

Factorising polynomials: \(ax^2 + bx + c\)

Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Evaluating polynomials

Using algebra tiles to factorise polynomials

Solving polynomial equations

Word problems of polynomials

Factorising Quadratic Functions

Factorise by taking out the greatest common factor

Factorise by grouping

Factorising difference of squares: x^2 - y^2

Factorising trinomials

Factoring difference of cubes

Factoring sum of cubes

Quadratic Functions

Characteristics of quadratic functions

Transformations of quadratic functions

Quadratic function in general form: y = ax^2 + bx + c

Quadratic function in vertex form: y = a(x-p)^2 + q

Completing the square

Converting from general to vertex form by completing the square

Shortcut: Vertex formula

Graphing parabolas for given quadratic functions

Finding the quadratic functions for given parabolas

Applications of quadratic functions

Radicals

Square and square roots

Cubic and cube roots

Evaluating and simplifying radicals

Converting radicals to mixed radicals

Converting radicals to entire radicals

Adding and subtracting radicals

Multiplying and dividing radicals

Rationalize the denominator

Rational Expressions

Simplifying rational expressions and restrictions

Adding and subtracting rational expressions

Multiplying rational expressions

Dividing rational expressions

Solving rational equations

Applications of rational equations

Simplifying complex fractions

Partial fraction decomposition

Reciprocal Functions

Graphing reciprocals of linear functions

Graphing reciprocals of quadratic functions

Coordinates, Quadrants, and Transformations

Cartesian plane

Draw on coordinate planes

Introduction to transformations

Horizontal and vertical distances

Angles, Lines and Transversals

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Properties of Triangles

Classifying triangles

Isosceles and equilateral triangles

Circles

Circles and circumference

Angles in a circle

Arcs of a circle

Areas and sectors of circles

Congruent Triangles

Congruence and congruent triangles

Triangles congruent by SSS proofs

Triangles congruent by SAS and HL proofs

Triangles congruent by ASA and AAS proofs

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Pythagorean Theorem

Squares and square roots

Pythagorean theorem

Estimating square roots

Using the pythagorean relationship

Applications of pythagorean theorem

Introduction to Trigonometry

Use sine ratio to calculate angles and sides (Sin = \( \frac{o}{h}\) )

Use cosine ratio to calculate angles and sides (Cos = \( \frac{a}{h}\) )

Use tangent ratio to calculate angles and sides (Tan = \( \frac{o}{a}\) )

Combination of SohCahToa questions

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Other word problems relating angles in trigonometry

Surface Area and Volume

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Probability

Determining probabilities using tree diagrams and tables

Probability of independent events

Fundamental counting principle

Factorial notation

Probability with Venn diagrams

Data and Graphs

Reading and drawing bar graphs

Reading and drawing histograms

Reading and drawing line graphs

Box-and-whisker plots and scatter plots

Stem-and-leaf plots

Pie charts

Reading and drawing Venn diagrams

Frequency tables and dot plots

Statistics

Median and mode

Mean

Range and outliers

Application of averages

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Expert Transition Year Maths Help With Video Solutions & Practice

Watch any problem solved step by step. Join 95% of students improving their Junior Cert results in 30 days or less. Get instant help for any Transition Year Maths challenge.

✅ 5000+ video solutions

📚 10000+ practice problems

🚀 12% average grade increase

⏱️ 30-day improvement

From Stuck to Unstuck

Better Results Guaranteed

Practice Makes Perfect

Transition Year Maths Topics

Number System and Radicals

Adding and Subtracting Integers

Multiplying and Dividing Integers

Rational Numbers

Solving Linear Equations

Linear Inequalities

Solving Simultaneous Equations

Exponents

Exponential Functions

Exponential Growth and Decay

Operations of Polynomials

Factorising Polynomial expressions

Factorising Quadratic Functions

Quadratic Functions

Radicals

Rational Expressions

Reciprocal Functions

Coordinates, Quadrants, and Transformations

Angles, Lines and Transversals

Properties of Triangles

Circles

Congruent Triangles

Scale Factors and Similarity

Pythagorean Theorem

Introduction to Trigonometry

Surface Area and Volume

Probability

Data and Graphs

Statistics

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