Level 2 Mathematics WJEC
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33 topics in 3 modules
☑️ Number and Quantity 12 topics
- Notation and structure of the number system
- Types and properties of numbers: integers, fractions, decimals, percentages
- Four rules of number: Addition, subtraction, multiplication, division
- Use of brackets and order of operations
- Powers and roots
- Indices rules
- Estimation
- Round to the nearest: ten, hundred, thousand, tenth, hundredth, etc.
- The concept and calculations involving ratio and proportion
- Scientific notation and standard forms
- Prime factors, highest common factors and lowest common multiples
- Significant figures
☑️ Algebra and Graphs 11 topics
- Algebraic notation, manipulation and conventions
- Expansion and simplification of expressions
- The concept, setting up and solving of equations
- Inequalities on a number line
- Sequences
- Represent real-world problems algebraically
- Graphs: reading, interpreting and drawing
- Linear functions: gradients, intercepts, solving
- Understand and use the Cartesian coordinate plane
- Quadratic graphs and their properties
- Real-life applications of graphs
☑️ Geometry and Measures 10 topics
- Understand and use angle facts: vertically opposite, alternate, corresponding
- Properties and classification of 2D and 3D shapes
- Perimeters, areas and volumes
- Different types of transformations: reflection, rotation, enlargement, translation
- Congruence and similarity
- Trigonometry: sine, cosine, tangent rules
- Pythagoras’ theorem
- Circle properties and their proofs
- Loci and construction with ruler, compasses and protractor
- Choose and use appropriate units of measures
Level 2 Mathematics WJEC Revision Content
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Level 2 Mathematics WJEC - Number and Quantity - Notation and structure of the number system Content Preview
Number and Quantity
Notation and structure of the number system
Notation and Structure of the Number System
Types and Properties of Numbers
- Understand the different types of numbers in the number system, including natural numbers, integers, rational numbers, irrational numbers, and real numbers.
- Natural numbers are those used for counting and ordering (e.g., 1, 2, 3).
- Integers include natural numbers, zero, and their negatives (e.g., -2, -1, 0, 1, 2).
- Rational numbers can be written as a fraction where both the numerator and denominator are integers (e.g., 7/3, -4/5). This category also includes integers and natural numbers.
- Irrational numbers cannot be written as a fraction. They do not terminate or repeat, and include numbers like π and √2.
- The real numbers are a combination of rational and irrational numbers.
Number Notations
- Get comfortable with standard form (or scientific notation) e.g., 3.4 x 10<sup>5</sup>.
- Understand the use of surds to represent the root of a number that cannot be simplified to a rational number (e.g., √2 is a surd).
- Know how to convert between fractions, decimals, and percentages and when to use each.
Order of Operations
- Remember the order of operations, often remembered by the acronym BIDMAS, standing for Brackets, Indices, Division, Multiplication, Addition, and Subtraction.
- Note that division and multiplication, as well as addition and subtraction, are of equal precedence and should be performed from left to right.
Sequences and Series
- Recognize and work with arithmetic sequences, where each term is a certain number (the common difference) more than the previous term.
- Similarly, understand geometric sequences, where each term is a certain number (the common ratio) times the previous term.
- Know how to calculate the sum of a finite arithmetic series and the sum of a finite and infinite geometric series.
Each of these key points serves as a solid foundation on which to build a deeper understanding of the notation and structure of the number system. Details of the mathematical operations and workings of these number types can then be studied individually for a comprehensive understanding of the subject.
Question: Write the number 123000 in standard form (scientific notation).
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