Mathematics Study Guide - Grade 11

The Grade 11 study guide offers step-by-step guidance throughout, enabling learners to keep up every step of the way. In Euclidean geometry, learners need to learn and apply a lot of new theorems, including writing down the correct reason whenever they use one of these theorems.

These include theorems dealing with tangents and quadrilaterals. The relevant chapter in the Maths 4 Africa study guide offers a summary of all these theorems together with the correct reasons (all following CAPS) and a simple example of each before moving on to worked examples like those that might be encountered in tests or exams. Colourful sketches along the way serve as a further visual explanation of what is being done. 

∙In the section on trigonometry, learners are introduced to various types of trigonometric equations and finding the general and specific solutions of equations, which could all be quite daunting. Once again, the Maths 4 Africa study guide comes to the rescue, offering an organised summary of all these trigonometric equations and a simple worked example before moving on to more difficult examples. Furthermore, learners could find working in the various quadrants and proving trigonometric identities a bit tricky initially, but this study guide sets out everything designed to simplify this work. 

∙For the first time, Grade 11 deals with the sin, cos, and area rules and their application. The Maths 4 Africa study guide explains these in a simple, straightforward manner, thereby ensuring that learners understand how to apply these rules. 

∙The section on trigonometric functions provides a detailed summary of the equations of the different functions, explaining what each parameter means. Step-by-step explanations show learners how to draw graphs of trigonometric functions using a calculator. Using exam-type questions in worked examples, learners are also taught how to interpret trigonometric graphs and equations of such graphs. 

∙Many learners find Grade 11 exponents and surds complicated. The Maths 4 Africa study guide shows them that this section is not difficult at all. Helpful tips and detailed work examples enable learners to really understand this work. 

∙Two more sections, the nature of a quadratic equation’s roots and quadratic inequalities, are often daunting for learners. Once again, there is absolutely no need for that. This study guide explains everything like a patient, resourceful tutor. 

∙In number patterns, learners are introduced to a new type of pattern, namely quadratic sequences. This is explained using colour and helpful tips whenever appropriate. Exam-type questions about quadratic sequences are dealt with as worked examples. Learners are also shown important examples of mixed sequences often encountered in tests or exams. 

∙In the section on functions, learners need to be able to deal with horizontal shifts of parabolas, hyperbolas and exponential graphs in addition to vertical shifts and reflections. This study guide carefully explains everything learners need to know, using clever tools to illustrate what is being done. 

∙Financial maths is made easy in this study guide. Learners are shown what to do if interest should be compounded daily, weekly, monthly, quarterly or semi-annually instead of annually. Worked examples include depreciation, timelines and converting nominal interest rates to effective rates (and vice versa). This ensures that learners cover everything they need about Grade 11 financial maths. 

∙In statistics, learners are introduced to a couple of new concepts. Using helpful summaries and work examples, the Maths 4 Africa study guide quickly enables learners to understand this work. Step-by-step guidance shows learners exactly how they should use their calculators in this section. 

∙Furthermore, at the back of the study guide, learners are provided with proof of all the theorems they need to know for Grade 11. This means that they won’t have to run around in circles to find these proofs before exams, as they can be found in the Maths 4 Africa study guide, all put together at the back of the book. As in all other chapters, colour and helpful tips keep things simple and easily understandable by highlighting important steps. 

This study guide covers Everything Grade 11 learners need to know according to CAPS. These guides are learner-friendly and aim to make Math as easy as possible for their readers while ensuring that learners cover everything they need to know, including more difficult questions in each section. In this way, the Grade 11 Maths 4 Africa study guide helps learners effectively prepare for tests and exams to achieve success.