__National 5 Maths__

__National 5 Maths__

#### The perfect study tool for all National 5 Maths students. Whether you're falling behind in class, don't understand a topic, or need help prepping for the final exams, we've got you covered with 85 on-demand video classes, more than 500 practice questions with full step-by-step solutions, comprehensive reference notes and a range of exam prep materials. View our classroom or learn more and start your National 5 Maths course access.

__The Complete Online National 5 Maths Course__

__The Complete Online National 5 Maths Course__

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__National 5 Maths Curriculum__

__National 5 Maths Curriculum__

- Decimal Places (3:38)
- Significant Figures (5:52)
- Scientific Notation (6:19)
- Rational & Irrational Numbers (5:43)
- Adding and Subtracting Surds (7:59)
- Multiplying and Dividing Surds (9:45)
- Rationalising Fractions (8:23)
- Rules of Indices (7:56)
- How Surds and Indices Relate (11:00)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes

- Simplifying Algebraic Expressions (5:50)
- Expanding Brackets (8:58)
- Factorising Using a Common Factor (7:53)
- Factorising as a Difference of Two Squares (8:53)
- Factorising a Trinomial (11:30)
- Completing the Square (7:27)
- Simplifying Algebraic Fractions (10:52)
- Multiplying and Dividing Algebraic Fractions (8:59)
- Adding and Subtracting Algebraic Fractions (11:29)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes

- The Properties of Shapes (7:52)
- Similar Figures (11:35)
- Using Similar Figures to find Area and Volume (10:32)
- Arc Length (11:30)
- Sector Area (11:54)
- Volume of Cuboids & Prisms (8:35)
- Volume of Cones, Pyramids and Spheres (7:15)
- Quick Practice Questions - Properties of Shapes
- Quick Practice Questions - Arcs & Sectors
- Quick Practice Questions - Volume
- Quick Practice Questions - Similar Figures
- Full Practice Questions
- Reference Notes

- Introduction to Straight-Line Graphs (5:14)
- The Gradient of a Straight-Line Graph (14:55)
- The Equation of a Straight Line (15:28)
- Straight Lines not in Standard Form (9:45)
- Horizontal and Vertical Lines (8:16)
- X and Y Intercept of Straight Line Graphs (14:05)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes

- Solving Linear Equations (13:29)
- Solving Linear Equations with Brackets (10:09)
- Solving Linear Equations with Fractions (11:44)
- Solving Inequations (10:35)
- Inequations – Multiplying or Dividing by a Negative (11:35)
- Solving Simultaneous Equations by Eliminating a Variable (10:32)
- Solving Simultaneous Equations by Eliminating a Variable – More Difficult (12:48)
- Rearranging Formulas (13:35)
- Quick Practice Questions - Equations & Inequations
- Quick Practice Questions - Simultaneous Equations
- Quick Practice Questions - Rearranging Formulas
- Full Practice Questions
- Reference Notes

- Quadratic Expressions & Functions (6:10)
- Quadratic Equations – Solving by Factorising (13:27)
- Quadratic Equations – Solving by the Quadratic Formula (12:04)
- Using the Discriminant to Determine the Number of Roots (10:28)
- Graphs of Quadratic Functions (9:25)
- The Roots of Quadratic Functions (11:22)
- The Turning Point of the Graph of a Quadratic Function (11:34)
- Finding the Y-Intercept of the Graph of a Quadratic Function (11:11)
- The Axis of Symmetry of the Graph of a Quadratic Function (10:12)
- Transforming the Graph of a Quadratic Function (15:08)
- Quick Practice Questions - Quadratic Equations
- Quick Practice Questions - Quadratics Graphs
- Full Practice Questions
- Reference Notes

- Pythagoras’ Theorem (9:32)
- The Converse of Pythagoras’ Theorem (7:30)
- Pythagoras’ Theorem in Circles (9:06)
- Trigonometric Functions (10:30)
- The Graph of the Sine Function (9:52)
- The Graph of the Cosine Function (9:30)
- The Graph of the Tangent Function (8:21)
- Transforming Graphs of Trigonometric Functions (13:45)
- The CAST Method (10:07)
- Introduction to Trigonometric Equations (10:13)
- Solving Trigonometric Equations Using a Calculator in Degrees (15:56)
- Quick Practice Questions - Pythagoras Theorem
- Quick Practice Questions - Trigonometry
- Full Practice Questions
- Reference Notes

- Introduction to The Sine and Cosine Rules (7:15)
- Using the Sine Rule to Find Missing Angles (11:20)
- Using the Sine Rule to Find Missing Sides (8:13)
- Using the Cosine Rule for Missing Angles (9:41)
- Using the Cosine Rule for Missing Sides (8:04)
- Problems Involving Bearings (8:45)
- Area of a Non-Right Triangle (6:59)
- Quick Practice Questions
- Full Practice Questions
- Reference Notes

- Algebraic Fractions
- Algebraic Operations
- Arcs & Sectors
- Equations & Inequations
- Fractions
- Functions
- Graphs of Quadratic Functions
- Indices
- Percentages
- Properties of Shapes
- Pythagoras Theorem
- Quadratic Equations
- Quartiles
- Rearranging Formulas
- Similar Figures
- Simultaneous Equations
- Standard Deviation
- Straight Lines
- Surds
- Trigonometry
- Using Trigonometry
- Vectors
- Volume

**Who is the National 5 Maths Course For?**

National 5 Maths is the standard certification that many employers and further education institutions are looking for. Students pursuing National 5 Maths should already have National 4 Maths or National 5 Applications of Maths. View the CLASSROOM.

**What is Taught in National 5 Maths?**

Working with Numbers, Algebraic Operations, Geometry & Shape Properties, Straight Line Graphs, Equations, Quadratic Functions & Equations, Pythagoras & Trigonometry, Vectors, Statistics, Fractions & Percentages. View the full CURRICULUM.

**What Will I Take Away From This Course?**

National 5 Maths teaches a range of skills including Algebra, Geometry, Functions, Numeracy & Statistics. The primary focus is on key algebra techniques which give students a solid foundation for more advanced courses such as Higher Maths.

**How Does National 5 Maths Compare to Higher Maths?**

Students taking Higher Maths should already have achieved National 5 Maths. National 5 Maths develops a range of algebra skills, whereas Higher Maths focuses on functions and introduces students to Calculus.

**What is the Progression From National 5 Maths?**

Students who have completed National 5 Maths will have fundamental skills for taking on Higher Maths. Otherwise, they will have general Mathematical skills to use in daily life, or to bring to the workplace or higher education.

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Hi, I’m Gary, and I'll be your instructor for this course in National 5 Mathematics.

I'll be straight with you, I love Math! But I completely get that for most of us it's very challenging, and often frustrating. I'm here to help make it easier for you. I've taught many National 5 Maths students. I understand the sticking points and how to develop skills and boost confidence. I have a BSc Honours degree in Pure Mathematics and have been educated in both the UK and the US. I own and run a private tuition business where I've supported hundreds of Maths students.