National 5 Essentials by La Salle Education

National 5 Essentials


In this essentials course, we look at topics that are key building blocks to understanding the more complex ideas in National 5 Mathematics.

We also delve into some of the high stakes examinable content within the National 5 course using models and practise worksheets to provide ample opportunity to gain a deeper understanding. Studying this course will give you the skills needed to develop your understanding and provide a pathway to success at National 5 Mathematics.

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Example Materials

Here you'll find an example worksheet and instructional video. Both are representative of what you will find many, many times over on the course.
DOWNLOAD EXAMPLE WORKSHEET

Course Outline

🎦  166 Videos    📄  77 Files

Each item below represents a section of the course covering one of the key building blocks needed to understand the more complex ideas in National 5 Mathematics. You can think of them as mini courses within the main course, each comes with its own materials and tracked progress.


🎦 10 Videos    📄 4 Files
In this unit we will look at the properties of triangles and regular polygons with a focus on how their angles behave. We will work through a series of examples finding missing angles.


🎦 10 Videos    📄 4 Files
In this unit we will look at the properties of triangles and regular polygons with a focus on how their angles behave. We will work through a series of examples finding missing angles.


🎦 10 Videos    📄 6 Files
In this unit we look at rotation, reflections and translations. We explore each individually and then bring this together where problems ask us to using combinations of all three to investigate the movement of an object or shape.


🎦 14 Videos    📄 4 Files
This unit will look at how to factorise simple algebraic expressions and expressions that are quadratic.


🎦 15 Videos 📄 4 Files
In this unit we will look at a selection of examples using Pythagoras to find missing sides on right-angled triangles and also learn how we can use trigonometry to find missing sides and angles.


🎦 6 Videos    📄 2 Files
In this unit we will explore sequences and look in-depth at how they are constructed. We will explore and make sense of how we can find the nth term of a sequence.


🎦 5 Videos    📄 4 Files
This unit will look at Scatter Graphs and in particular their importance when comparing data, making predictions and understanding if there is a relationship between two sets of data.


🎦 12 Videos    📄 2 Files
This unit will look at the idea of fractions and how this helps us understand equivalence, the ability to compare and perform calculations with fractions.


🎦 4 Videos    📄 8 Files
In this unit we will gain a better conceptual understanding of how to add, subtract, multiply and divide with proper, improper and mixed fractions.


🎦 14 Videos    📄 6 Files
In this unit we look at what standard form is and how we can use this scientific way of representing large and small numbers to allow better comparison and ease calculations.


🎦 5 Videos    📄 4 Files
This unit will focus on rearranging formulae and draw upon our understanding of solving equations. We first of all define what formulae are and look at a variety of methods we can use to to change the subject of a formula.


🎦 11 Videos    📄 4 Files
This unit will look at how we can expand single brackets and simplify expression by collecting like terms.


🎦 4 Videos    📄 2 Files
In this unit we will solve linear equations with unknowns on both sides, fractions, and multiple algebraic fractions to find unique solutions.


🎦 13 Videos    📄 4 Files
In this unit we will introduce algebra. We will work through some key ideas on what variables are, order of operating and algebraic substitution.


🎦 6 Videos    📄 4 Files
This unit will look at different types of angles and explore the properties of angles when using parallel lines.


🎦 6 Videos    📄 5 Files
In this unit we explore what gradient is and gain a deeper understanding of what functions are. We will look at the straight line equation and how we find these equations with limited information.


🎦 8 Videos    📄 2 Files
In this unit we look at what ‘powers’ are and explore the law of indices. We try a selection of problems where we can apply combinations of these laws to simplify complex algebraic problems.


🎦 4 Videos    📄 4 Files
This unit will focus on circumference and area of circles. However, we must know what to do when faced with situations where we only want part of the circumference (arc) or part of the area (sector).


🎦 9 Videos    📄 4 Files
In this unit we will look at how fractions and ratio are related. We work through various problems to understand this relationship and how we can use it to our advantage when solving ratio problems.

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