I want all my kids to sign up for StudyPug. Do you have family plans?

Under one parent account, you can add up to five children for free. All students deserve the help they need.

What are your teachers’ credentials? Are they suitable for teaching my child?

Our teachers are certified and have classroom experience. Using years of knowledge, we’re able to keep our content and lessons updated to reflect current trends and topics.

Is my credit card information safe?

Your information is secure with StudyPug. All online credit card sales are safeguarded with SSL technology, the most secure encryption technology currently available for electronic transactions. For more information, please read our privacy policy.

Why should I use StudyPug?

We’re available online 24/7, so your child can study any time. We offer exam preparation and review, homework help, and our platform is flexible to be used with your child’s education, whether you are in a public school, private school, or homeschooled. We support all students in their learning!

Master IE Second Year Maths

Clear video lessons break down complex topics into simple steps. Join thousands of Irish students improving their Junior Cert maths skills and confidence.

Start Your math Journey

Start with number theory and algebra - they're crucial for understanding more advanced topics. Master geometry next, as it connects to real-world applications and develops spatial reasoning. Probability and statistics round out your skills, preparing you for data analysis in higher-level maths and beyond.

Yes I Want to Do Better

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

Rachel McCarthy

Third year maths student, Cork, Ireland

Leah Doyle

First year maths student, Dundalk, Ireland

Ruby O'Hora

Sixth year maths student, Dublin, Ireland

Second Year Maths Topics

Number Theory

Divisibility Rules

Prime factors

Determining Common Factors

Determining Common Multiples

Introduction to exponents

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

Adding and Subtracting Fractions

Using models to add and subtract fractions

Adding fractions with like denominators

Subtracting fractions with like denominators

Adding and subtracting fractions with unlike denominators

Adding and subtracting mixed numbers

Multiplying and Dividing Fractions

Multiplying fractions and whole numbers

Dividing fractions with whole numbers

Multiplying proper fractions

Multiplying improper fractions and mixed numbers

Dividing fractions and mixed numbers

Applications of fraction operations

Powers and Exponents

Using exponents to describe numbers

Exponent rules

Order of operations with exponents

Using exponents to solve problems

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

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

Ratios, Rates, and Proportions

Ratios

Rates

Proportions

Proportional Relationships

Identifying proportional relationships

Understanding graphs of linear relationships

Understanding tables of values of linear relationships

Applications of linear relationships

Percents

Representing percents

Percents, fractions, and decimals

Percent of a number

Adding and multiplying percents

Taxes, discounts, tips and more

Simple interest

Measuring Systems

Metric systems

Imperial systems

Conversions between metric and imperial systems

Conversions involve squares and cubic

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

Symmetry and Surface Area

Line symmetry

Rotational symmetry and transformations

Surface area of 3-dimensional shapes

Pythagorean Theorem

Squares and square roots

Pythagorean theorem

Estimating square roots

Using the pythagorean relationship

Applications of pythagorean theorem

Introduction to 3-Dimensional Figures

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface area of cylinders

Volume

Introduction to volume

Volume of prisms

Volume of cylinders

Word problems relating volume of prisms and cylinders

Patterns and Solving Equations

Patterns

Evaluating algebraic expressions

Solving one - step equations: x + a = b

Graphing linear relations

Linear Equations (Basic)

Model and solve one-step linear equations: ax = b, x/a = b

Solving two-step linear equations using addition and subtraction: ax + b = c

Solving two-step linear equations using multiplication and division: x/a + b = c

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

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

Introduction to Relations and Functions

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

Polynomials

Characteristics of polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Operations of Polynomials

What is a polynomial?

Using algebra tiles to factorise polynomials

Polynomial components

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

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

Introduction to Probability

Introduction to probability

Organizing outcomes

Probability of independent events

Comparing experimental and theoretical probability

The Popular Learning Tool Trusted by Parents and Teachers

Get more free views and practice!

Join for Free

Get more free views and practice!

Master IE Second Year Maths

Start Your.css-1l9wlzk{margin:0;font-size:26px;letter-spacing:0;font-family:'__Lato_31ddd5','__Lato_Fallback_31ddd5';color:#333333;-webkit-font-smoothing:antialiased;font-weight:700;line-height:1.235;text-transform:capitalize;}@media (max-width:768px){.css-1l9wlzk{font-size:20px;}} math Journey

All in One Place

Learn with Ease

Instant and Unlimited Help

Second Year Maths Topics

Number Theory

Adding and Subtracting Integers

Multiplying and Dividing Integers

Rational Numbers

Adding and Subtracting Fractions

Multiplying and Dividing Fractions

Powers and Exponents

Radicals

Exponents

Ratios, Rates, and Proportions

Proportional Relationships

Percents

Measuring Systems

Coordinates, Quadrants, and Transformations

Angles, Lines, and Transversals

Properties of Triangles

Circles

Congruent Triangles

Symmetry and Surface Area

Pythagorean Theorem

Introduction to 3-Dimensional Figures

Volume

Patterns and Solving Equations

Linear Equations (Basic)

Solving Linear Equations

Linear Inequalities

Introduction to Relations and Functions

Polynomials

Operations of Polynomials

Data and Graphs

Statistics

Introduction to Probability

The Popular Learning Tool Trusted by Parents and Teachers

Join for Free

Join for Free

Start Your math Journey