Mathematics from the Basic to Advanced
Learn Tips, Tricks and Techniques in a very short span of time. Earn confidence in your class with conceptual understanding in an interactive way.
Identify and use natural numbers, integers (positive, negative and zero), prime numbers, square and cube numbers, common factors and common multiples, rational and irrational numbers (e.g. π, square root of 2 ), real numbers, reciprocals. Understand notation of Venn diagrams. Definition of sets e.g. A = {x: x is a natural number} B = {a, b, c, …} Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers. Use directed numbers in practical situations. Use the language and notation of simple vulgar and decimal fractions and percentages in appropriate contexts. Recognise equivalence and convert between these forms. Order quantities by magnitude and demonstrate familiarity with the symbols =, ≠, >, < , ⩾, ⩽ Understand the meaning of indices (fractional, negative and zero) and use the rules of indices. Use the standard form A × 10n where n is a positive or negative integer, and 1 ⩽ A < 10. Use the four rules for calculations with whole numbers, decimals and fractions (including mixed numbers and improper fractions), including correct ordering of operations and use of brackets. Make estimates of numbers, quantities and lengths, give approximations to specified numbers of significant figures and decimal places and round off answers to reasonable accuracy in the context of a given problem. Give appropriate upper and lower bounds for data given to a specified accuracy. Demonstrate an understanding of ratio and proportion. Calculate average speed. Use common measures of rate. Calculate a given percentage of a quantity. Express one quantity as a percentage of another. Calculate percentage increase or decrease. Use a calculator efficiently. Apply appropriate checks of accuracy. Calculate times in terms of the 24-hour and 12-hour clock. Read clocks, dials and timetables. Calculate using money and convert from one currency to another. Use given data to solve problems on personal and household finance involving earnings, simple interest and compound interest. Extract data from tables and charts. ALGEBRA Use letters to express generalised numbers and express basic arithmetic processes algebraically. Substitute numbers for words and letters in formulae. Rearrange simple formulae. Construct simple expressions and set up simple equations. Manipulate directed numbers. Use brackets and extract common factors. Expand products of algebraic expressions. Extended curriculum only. Use and interpret positive, negative and zero indices. Use the rules of indices. Derive and solve simple linear equations in one unknown. Derive and solve simultaneous linear equations in two unknowns. Represent inequalities graphically and use this representation to solve simple linear programming problems. Continue a given number sequence. Recognise patterns in sequences including the term to term rule and relationships between different sequences. Find and use the nth term of sequences. Express direct and inverse proportion in algebraic terms and use this form of expression to find unknown quantities. Use function notation, e.g. f(x) = 3x – 5, f: x ⟼ 3x – 5, to describe simple functions. Find inverse functions f –1(x). Form composite functions as defined by gf(x) = g(f(x)). Interpret and use graphs in practical situations including travel graphs and conversion graphs. Draw graphs from given data. Apply the idea of rate of change to simple kinematics involving distance–time and speed–time graphs, acceleration and deceleration. Calculate distance travelled as area under a speed–time graph. Construct tables of values and draw graphs for functions of the form axn (and simple sums of these) and functions of the form abx + c. Solve associated equations approximately, including finding and interpreting roots by graphical methods. Draw and interpret graphs representing exponential growth and decay problems. Recognise, sketch and interpret graphs of functions. Estimate gradients of curves by drawing tangents. Understand the idea of a derived function. Use the derivatives of functions of the form axn, and simple sums of not more than three of these. Apply differentiation to gradients and turning points (stationary points). Discriminate between maxima and minima by any method. GEOMETRY Demonstrate familiarity with Cartesian coordinates in two dimensions. Find the gradient of a straight line. Calculate the gradient of a straight line from the coordinates of two points on it. Calculate the length and the coordinates of the midpoint of a straight line from the coordinates of its end points. Interpret and obtain the equation of a straight line graph. Determine the equation of a straight line parallel to a given line. Find the gradient of parallel and perpendicular lines. Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets. Measure and draw lines and angles. Construct a triangle given the three sides using a ruler and a pair of compasses only. Read and make scale drawings. Calculate lengths of similar figures. Use the relationships between areas of similar triangles, with corresponding results for similar figures and extension to volumes and surface areas of similar solids. Use the basic congruence criteria for triangles (SSS, ASA, SAS, RHS). Recognise rotational and line symmetry (including order of rotational symmetry) in two dimensions. Recognise symmetry properties of the prism (including cylinder) and the pyramid (including cone). Use the following symmetry properties of circles: •• equal chords are equidistant from the centre •• the perpendicular bisector of a chord passes through the centre •• tangents from an external point are equal in length. Calculate unknown angles using the following geometrical properties: •• angles at a point •• angles at a point on a straight line and intersecting straight lines •• angles formed within parallel lines •• angle properties of triangles and quadrilaterals •• angle properties of regular polygons •• angle in a semicircle •• angle between tangent and radius of a circle •• angle properties of irregular polygons •• angle at the centre of a circle is twice the angle at the circumference •• angles in the same segment are equal •• angles in opposite segments are supplementary; cyclic quadrilaterals •• alternate segment theorem. Use current units of mass, length, area, volume and capacity in practical situations and express quantities in terms of larger or smaller units. Carry out calculations involving the perimeter and area of a rectangle, triangle, parallelogram and trapezium and compound shapes derived from these. Carry out calculations involving the circumference and area of a circle. Solve problems involving the arc length and sector area as fractions of the circumference and area of a circle. Carry out calculations involving the surface area and volume of a cuboid, prism and cylinder. Carry out calculations involving the surface area and volume of a sphere, pyramid and cone. Carry out calculations involving the areas and volumes of compound shapes. Interpret and use three-figure bearings. Apply Pythagoras’ theorem and the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a rightangled triangle. Solve trigonometric problems in two dimensions involving angles of elevation and depression. Know that the perpendicular distance from a point to a line is the shortest distance to the line. Recognise, sketch and interpret graphs of simple trigonometric functions. Graph and know the properties of trigonometric functions. Solve simple trigonometric equations for values between 0° and 360°. Solve problems using the sine and cosine rules for any triangle and the formula area of triangle = 1/2 ab sin C. Solve simple trigonometrical problems in three dimensions including angle between a line and a plane. Describe a translation by using a vector represented. Add and subtract vectors. Multiply a vector by a scalar. Reflect simple plane figures in horizontal or vertical lines. Rotate simple plane figures about the origin, vertices or midpoints of edges of the figures, through multiples of 90°. Construct given translations and enlargements of simple plane figures. Recognise and describe reflections, rotations, translations and enlargements. Calculate the magnitude of a vector as Represent vectors by directed line segments. Use the sum and difference of two vectors to express given vectors in terms of two coplanar vectors. Use position vectors. Calculate the probability of a single event as either a fraction, decimal or percentage. Understand and use the probability scale from 0 to 1. Understand that the probability of an event occurring = 1 – the probability of the event not occurring. Understand relative frequency as an estimate of probability. Expected frequency of occurrences. Calculate the probability of simple combined events, using possibility diagrams, tree diagrams and Venn diagrams. Calculate conditional probability using Venn diagrams, tree diagrams and tables. Collect, classify and tabulate statistical data. Read, interpret and draw simple inferences from tables and statistical diagrams. Compare sets of data using tables, graphs and statistical measures. Appreciate restrictions on drawing conclusions from given data. Construct and interpret bar charts, pie charts, pictograms, stem-and-leaf diagrams, simple frequency distributions, histograms with equal and unequal intervals and scatter diagrams. Calculate the mean, median, mode and range for individual and discrete data and distinguish between the purposes for which they are used. Calculate an estimate of the mean for grouped and continuous data. Identify the modal class from a grouped frequency distribution. Construct and use cumulative frequency diagrams. Estimate and interpret the median, percentiles, quartiles and interquartile range. Construct and interpret box-and-whisker plots. Understand what is meant by positive, negative and zero correlation with reference to a scatter diagram. Draw, interpret and use lines of best fit by eye.
You will not listen to one-way lectures, rather be in a digital classroom with some of the best experts and class fellows. Class size won’t be massive and you’ll have the floor to yourself to ask questions, debate, share your thoughts and contribute to everyone’s mastery.
Coursework like pop quizzes, short assignments, case studies can really help refresh and reinforce concepts. When everyone’s participating and sharing their ideas, you’ll feel challenged to come up with bigger and better ideas, thus having work to show by the end of the cohort.
Teamwork makes the dream work. Connect with your classmates, a group of like-minded people working towards the same goals and course outcomes as you. Support, challenge yourself and others, and possibly build lifelong relationships.
Live, cohort-based courses are all about the transformation over a short period of time. This is what you and your cohort work together to achieve. You will come out of this course transformed in many, many ways.
This is not an ordinary course but a masterclass specially designed to help you become successful in the market. Some of the perks include:
All the classes will be conducted live giving you the opportunity to engage with the instructor and fellow course takers.
If for some reason, you missed a lecture, videos will be provided for you to stay up to speed with the class.
Meet Successful people who started their journey from content creation. Seek inspiration and learn from their experiences.
Clearly designed assignments and goals to build your foundations throughout the class
A Dedicated Slack community to connect with your classmates and instructor
Get inspiration from the work of your fellows. Find your own tribe of supporters!
The class will have batches in Local language.
Certification will be provided to participants.
Apply now and get free access to the precourse work.
The live classes for the courses will be conducted on our platform, Airschool, and zoom. Once you enrol, you will get the joining details. Slack channels will be available for after-class conversations and discussion.
Airschool provides learners with a 7-days money-back guarantee. If you feel that the course doesn’t deliver to its expectations or doesn’t teach what it promised, you can apply for a refund within 7-days of enrolling for the course. Mail us at support@airschool.com explaining the reason behind your decision and you will get your money back in 7 working days.
We love improvement and we love when it’s based on our users’ feedback. We expect you to record your constructive comments in our feedback form and these will be used to improve the course for the next batches.
Yes, certificates will be provided.