IMYP2 Mathematics

R450.00

/month

Problem solving is not assessed separately for Mathematics. The application of problem solving techniques and skills is an integral part of all five assessment strands.

1. Number

Integers, powers and roots placing positive and negative integers on a number line; identifying and using multiples, factors, multiples, primes and directed numbers; calculating squares, square roots, cubes and cube roots and using appropriate notation
Place value, ordering and rounding rounding to a given number of decimal places and significant figures; ordering and comparing numbers; using the order of operations, including brackets and powers
Fractions, decimals, percentages, ratio and proportion adding, subtracting and comparing fractions; converting fractions to decimals; calculating and using percentages, ration and proportion to solve problems
Calculation knowing and applying mental strategies (known principles, patterns, systems, functions and relationships) to add, subtract, multiply and divide

2. Algebra

Expressions, equations and formulae constructing, simplifying and transforming algebraic expressions; constructing and solving linear equations; deriving and using formulae; understanding and using inequality signs
Sequences, functions and graphs generating sequences from spatial patterns; representing simple functions; generating coordinate pairs; generating terms of a linear sequence; finding term-to-term and position-to-term rules of sequences; expressing functions algebraically; plotting graphs of linear functions; finding the inverse of linear function, solving simultaneous linear equations

3. Geometry

Shapes and geometric reasoning identifying and classifying shapes; understanding all types of symmetry; plans and elevations; knowing and using angle properties; calculating interior and exterior angles; solving geometrical problems; constructions using a ruler, straight edge and compasses; knowing and using Pythagoras’s theorem
Position and movement reading and plotting coordinates; tessellation; reflections, rotations and translations; enlargement; interpreting and making scale drawings

4. Measure

Length, mass and capacity estimating, measuring and comparing; solving problems; converting between different units of measurement; reading digital and analogue scales of measurement
Time and rates of change understanding relationships between units of time; calculating time intervals; interpreting timetables; travel graphs; average speed
Area, perimeter and volume converting between units of length and area; deriving and using formulae to calculate area and volume; using nets to calculate surface area

5. Handling data

Planning and collecting data identifying and collecting data; designing, using and refining a data collection sheet; constructing frequency tables; selecting and using different types of diagrams and graphs to answer real-life questions; understanding the difference between discrete and continuous data
Processing and presenting data calculating the mode, mean, median and range; drawing and interpreting a variety of graphs and charts
Interpreting and discussing results interpreting tables, graphs and diagrams for discrete and continuous data; drawing conclusions; comparing distributions
Probability using the language of probability to describe and interpret results; finding and estimating probabilities using data; finding probabilities of equally likely outcomes

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