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Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields
In Grade 11 we take note that there exist numbers other than those on the real number line, the so-called nonreal numbers. We also learn that It is possible to square certain nonreal numbers and obtain negative real numbers as answers. We explore:
- Explore the nature of roots
- Apply the laws of exponents to expressions involving rational exponents.
- Add, subtract, multiply and divide simple surds
- Revise factorisation
- Enrolled students: 1
A function describes a specific relationship between two variables; where an independent (input) variable has exactly one dependent (output) variable. Every element in the domain maps to only one element in the range. Functions can be one-to-one relations or many-to-one relations. A many-to-one relation associates two or more values of the independent variable with a single value of the dependent variable. Functions allow us to visualise relationships in the form of graphs, which are much easier to read and interpret than lists of numbers.
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Number patterns, sequences and series are some of the basic topics in arithmetic. An itemised collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series.
In Grade 11 we investigate number patterns leading to those where there is a constant second difference between consecutive terms and the general term is therefore quadratic.
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Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms and deducing many other propositions (theorems) from these.
In Grade 11 the following are covered
- Investigate and prove theorems of the geometry of circles assuming results from earlier grades, together with one other result concerning tangents and radii of circles.
- Solve circle geometry problems, providing reasons for statements when required.
- Prove riders.
- Enrolled students: No students enrolled in this course yet
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In Grade 11 we cover the following:
- Derive and use the identities; sin θ, tan θ = cos θ and sin2 θ + sin2 θ = 1.
- Derive the reduction formulae.
- Determine the general solution and / or specific solutions of trigonometric equations.
- Establish the sine, cosine
- Enrolled students: No students enrolled in this course yet
Probability is a branch of mathematics that deals with the occurrence of a random event. For instance, every time you flip a coin, there is a 50/50 chance you will get heads or tails.
In Grade 11 we explore:
- Dependent and independent events.
- Venn diagrams or contingency tables and tree diagrams as aids to solving probability problems (where events are not necessarily independent).
- Enrolled students: No students enrolled in this course yet
Statistics definition is - a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of numerical data
In Grade 11 the following will be covers
- Representing measures of central tendency and dispersion in univariate numerical data by using ogives; and calculating the variance and standard deviation of sets of data manually and using calculators
- Representing results graphically
- Representing skewed data in box and whisker diagrams, and frequency polygons
- Identifying outliers
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Try your hand at these worksheets with full memos arranged by term
- Enrolled students: 31
In this section you will find a selection of past papers for Grade 11 Maths categorised by Year, and paper number. You will also find memoranda for each paper
- Enrolled students: 26