Maths: Beginner to Advanced Level

OfCourse

Certificate of completion

Digital certificate - Included

Course Highlights

• Includes 112 lectures and 15 hours of content.
• Learn about whole Numbers, exponents, integers, common Fractions, decimal Fractions, rate & proportion as well as financial maths
• Critically apply mathematics to real world situations and build a solid mathematical foundation.
• Gain confidence in your mathematical abilities for money managing and understanding your accounts.

Course Overview

This course offers a unique and interactive approach to learning mathematics in the 21st Century. You will learn how to critically apply mathematics to real world situations as well as understand, in detail, the module Numbers, Operations & Relationships, including Whole Numbers, Exponents, Integers, Common Fractions, Decimal Fractions, Rate & Proportion and Financial Maths.

Instructor Bio

Matthew Henshall, the instructor who will take you through this course is an Electro-Mechanical Engineer and Running fanatic. He is constantly on the search for new information and adventures and is passionate about teaching mathematics and making it accessible to everyone.

Course Curriculum

Introduction

• Introduction

Whole Numbers

• Division by zero and one

• Adding in columns

• Subtracting in columns

• Multiplying in columns

• long division

• Number Factors

• Number Multiples

• Composite Numbers

• Prime Numbers and Prime Factors

• HCF of numbers

• LCM of numbers

Exponents

• Representing numbers in exponential form

• Representing numbers in scientific notation

• Power of Zero Law

• Multiplication Law

• Division Law

• Power Law

• Finding Square Roots

• Finding Cube Roots

• Exponential laws four operations examples

Integers

• Ordering and Comparing

• Addition and Subtraction

• Multiplication

• Division

• Multiple Operations

Common Fractions

• Simplifying fractions, including mixed numbers

• Convert Mixed fractions to improper

• Adding and Subtracting including mixed numbers

• Multiplying and Dividing including mixed numbers

• Finding Square and Cube Roots

• Finding percentages of whole numbers

• Increase or decrease a number by a percentage

• Word problems

Rate & Proportion

• Comparing quantities of the same kind (Ratio)

• Comparing quantities of different kinds (Rate)

• Sharing a giving ratio

• Increasing or decreasing a given ratio

Financial Maths

• Profit and Loss

• Discount and VAT

• Simple Interest

• Hire Purchase

• Loans

• Exchange Rates

Numeric and Geometric Patterns

• A common difference and the general rule

• A constant ratio including the general

• Patterns not involving a common difference or ratio

Functions and Relationships

• Flow Diagrams

• Tables

• Formulae

• Equations

Algebraic Expressions

• Writing Conventions

• Monomials, binomials, trinomials and polynomials

• Variables, constants, exponents and coefficients of algebraic expressions

• Identify like and unlike terms

• Add and subtract like terms

• Multiplication of integers and monomials with monomials, binomials and trinomials

• Divide monomials, binomials and trinomials by monomials

• Finding square roots and cube roots - Copy

• Finding the numerical value by substitution - Copy

Algebraic Equations

• Set up equations to describe problem situations

• Solve by inspection

• Algebraic Equations (3 of 4) - Solve using algebraic methods

• Algebraic Equations (4 of 4) - Exponential

Geometry of 2D Shapees

• Triangles

• Similarity

• Congruency

• Quadrilaterals and their properties

Geometry of straight lines

• Supplementary, Complimentary, Vertically Opposite, Straight and right angles

• Transversal

• Parallel Lines

• Parallel Lines (Corresponding Angles)

• Parallel Lines (Alternate Angles)

• Parallel Lines (Co-interior Angles)

Geometry of 3D objects

• Tetrahedron, Hexahedron (cube), Octahedron, Dodecahedron, Icosahedrons

• Vertices, faces and edges

• Nets

Transformation Geometry

• Cartesian plane

• Reflection in the Y-axis and X-axis

• Translations

• Enlargement and Reductions

Construction of Geometric Figures

• Bisecting lines

• Bisecting angles

• Perpendicular line at or from a given point

• Triangles

• Quadrilaterals

• 30, 45,and 60 degrees without using a protractor

Theorem of Pythagoras

• Proving a triangle to be a right angle

• Proving right angle triangles

Collect, Organise & Summarize Data

• Collect -Tally & Table & Group Data

• Organise - Stem & Leaf diagrams

• Summarize - Mean

• Summarize - Median

• Summarize -Mode

• Summarize - Range

• Represent - Bar and Double Bar Graph

• Represent - Histograms

• Represent - Broken Line Graph

• Probability - Terminology

• Probability - Relative Frequency

• Probability - Examples

Why Choose OfCourse Learning?

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- Students enjoy 24/7 access to their courses

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- Students get lifetime access to their courses so they can work at their own pace

- On completion, students receive a course certificate from a recognised educational institution

- Become a part of a global learning community where you can talk with teachers and students about the course

Suitable for anyone wanting to build a strong foundation in mathematics

This course has no prerequisites