Curriculum
Engaging activities to develop mathematical concepts, arranged by objectives, with revision cards:
CIE IGCSE 0580 Strand
CIE IGCSE 0580 Objective:
Resources:
Number:
C1.1 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, real numbers, reciprocals.
Desmos: Polygraph
Frayer Model: Number
Inquiry Maths: Products of factors
Kangaroo Maths: Factors
MAP: Factors and multiples
Mathigon: Factors and multiples
Mathigon: Factris game
Mathsbot: Eratosthenes sieve
Mathsisfun: Drawing stars
Mixed Attainment: Types of numbers
Nrich: Factors and multiples
TeachMaths: Divisibility
Transum: Number sets
C1.1 Includes expressing numbers as a product of prime factors. Finding the lowest common multiple (LCM) and highest common factor (HCF) of two numbers.
C1.2 Understand notation of Venn diagrams. Definition of sets, e.g. A = {x: x is a natural number}; B = {a, b, c, …}. Number of elements in a set n(A), universal set U, union of A and B (A∪B), intersection of A and B (A∩B).
Don Steward: Venn diagrams
Geogebra: Venn diagrams
Inquiry Maths: Sets and Venns
Maths Is Fun: Sets and Venns
Mathsbot: Venn diagrams
MathsHKO: Venn diagrams
MEP: Set Notation
MEP: Venn diagrams
Mr Barton: Venn diagrams
NCETM: Venns and sets
Nrich: Inclusion Exclusion
STEM: Venn diagrams
Transum: Number sets
Transum: Venn diagrams
C1.3 Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers.
C1.4 Use directed numbers in practical situations, e.g. temperature changes, flood levels.
Desmos: Floats and anchors
Don Steward: Directed numbers
Exploding Dots: Antidotia
Inquiry Maths: Negatives
James Tanton: Negatives
Kangaroo Maths: Negatives
Mathsbot: Directed counters
Mathsbot: Negative Patterns
MathsHKO: Negatives
MAP: Directed numbers
NCETM: Directed numbers
Nrich: Consecutive negatives
Open Middle: Sums
Standards Units: Directed Numbers
Standards Units: Evaluating
C1.5 Use the language and notation of simple vulgar and decimal fractions and percentages in appropriate contexts. Recognise equivalence and convert between these forms.
C1.6 Order quantities by magnitude and demonstrate familiarity with the symbols =, ≠, <, >, ⩾, ⩽ .
C1.7 Understand the meaning of indices (fractional, negative and zero) and use the rules of indices, e.g. find the value of 5⁻², 100½, 8⅔; work out 2–3 × 24, (23)2, (2–3 ÷ 24).
Desmos: Circles
Don Steward: Powers
Exploding Dots: Mechania & Insighto
Inquiry Maths: Indices
Kangaroo Maths: Indices
Mathsbot: Place Value chart
MathsHKO: Indices
NCETM: Index numbers
Nrich: Power mad
Open Middle: Rational exponents
Standard Units: Indices
Teach Maths: Visualising indices
Transum: Indices T or F
Youcubed: Exponents
C1.7 Use the standard form A × 10n where n is a positive or negative integer, and 1 ⩽ A < 10. Convert numbers into and out of standard form. Calculate with values in standard form.
C1.8 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. Applies to positive and negative numbers.
Desmos: Decimal challenge
Desmos: Fraction challenge
Desmos: Twin puzzles
Don Steward: Egyptian fractions
Exploding Dots: Arithmos & Obelus
Exploding Dots: Decimalia
Inquiry Maths: Dividing fractions
Inquiry Maths: Steps
James Tanton: Fractions
James Tanton: Area Model
Kangaroo Maths: Calculation
MAP: Multiplication and division
Mathigon Polypad: Fraction bars
Mathsbot: Fraction shading
Mixed Attainment: Calculations
NCETM: Fractions
Nrich: Egyptian fractions
Nrich: Peaches
Open Middle: Multiplying fractions
Open Middle: Subtracting decimals
Standards Units: Arithmetic
Standards Units: Operations
Teach Maths: Add fractions
Transum: Number operations
C1.9 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.
C1.10 Give appropriate upper and lower bounds for data given to a specified accuracy, e.g. measured lengths.
C1.11 Demonstrate an understanding of ratio and proportion. Calculate average speed. Use common measures of rate. To include numerical problems involving direct and inverse proportion. Use ratio and scales in practical situations. Formulae for other rates will be given in the question e.g. pressure and density.
C1.12 Calculate a given percentage of a quantity. Express one quantity as a percentage of another. Calculate percentage increase or decrease.
C1.13 Use a calculator efficiently. Apply appropriate checks of accuracy.
C1.14 Calculate times in terms of the 24-hour and 12-hour clock. Read clocks, dials and timetables.
C1.15 Calculate using money and convert from one currency to another.
C1.16 Use given data to solve problems on personal and household finance involving earnings, simple interest and compound interest. Extract data from tables and charts. Includes discount, profit and loss. Knowledge of compound interest formula is required.
Algebra:
C2.1 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.
Don Steward: Algebra
Don Steward: Rearrangement
Don Steward: Substitution
Boss Maths: Algebra
Frayer Model: Algebra
Kangaroo Maths: Formulae
Makeemthinkmaths: Algebra
Mathsbot: Worded expressions
Mathsisfun: Algebra
Mixed Attainment: Expressions
NCETM: Formulae
Nrich: Algebra
Resourceaholic: Algebra
Standards Units: Evaluating
Standards Units: Number magic
Transum: Algebra pairs
Transum: Substitution
Transum: Vocabulary
Transum: Words and concepts
Variation Theory: Algebra
C2.2 Manipulate directed numbers. Use brackets and extract common factors. Expand 3x(2x – 4y); factorise 9x2 + 15xy. Expand products of algebraic expressions – two brackets only, e.g. (x + 4)(x – 7).
Desmos: Equivalent expressions
Desmos: Expressions mash-up
Don Steward: Expanding
Don Steward: Factorising
Inquiry Maths: Expanding
James Tanton: Area polynomials
Kangaroo Maths: Expressions
Mathsbot: Algebra tiles
MathsHKO: Expressions
Mixed Attainment: Expressions
Nrich: Pyramids
Open Middle: Distributive
Standards Units: Algebraic expressions
Transum: Expressions
Transum: True or false
C2.4 Use and interpret positive, negative and zero indices. Use the rules of indices, e.g. simplify 3x4 × 5x, 10x3 ÷ 2x2, (x6)2.
Desmos: Circles
Don Steward: Powers
Exploding Dots: Mechania & Insighto
Inquiry Maths: Indices
Kangaroo Maths: Indices
Mathsbot: Place Value chart
MathsHKO: Indices
NCETM: Index numbers
Nrich: Power mad
Open Middle: Rational exponents
Standard Units: Indices
Teach Maths: Visualising indices
Transum: Indices T or F
Youcubed: Exponents
C2.5 Derive and solve simple linear equations in one unknown. Derive and solve simultaneous linear equations in two unknowns.
ATM: Algebradabra
Desmos: Linear systems
Desmos: Picture perfect
Don Steward: Linear equations
Don Steward: Simultaneous
Geogebra: Equations
Inquiry Maths: Equations
Inquiry Maths: Simultaneous
Kangaroo Maths: Equations
Mathsbot: Bar modelling
MathsHKO: Simultaneous
Mixed Attainment: Equations
NCETM: Simultaneous
Nrich: Your number was
Open Middle: Equations
Open MIddle: Systems
Standard Units: Harder equations
Standards Units: Equations
Teach Maths: Equations
Transum: Missing lengths
Transum: Nevertheless
Transum: Scales
Transum: Simultaneous
C2.7 Continue a given number sequence.
Recognise sequences of square, cube and triangular numbers. Recognise patterns in sequences including the term to term rule and relationships between different sequences. Find and use the nth term of sequences.
Desmos: Pool border
Desmos SU: Patterns
Don Steward: Sequences
Inquiry Maths: Sequences
Kangaroo Maths: Sequences
Mathigon: Sequences
MathsHKO: Sequences
Mixed Attainment: Sequences
NCETM: Sequences
Nrich: Summing consecutives
Open Middle: Sequences
Standards Units: Patterns
Teach Maths: Frogs
Transum: Sequences
Visual Patterns
C2.10 Interpret and use graphs in practical situations including travel graphs and conversion graphs, e.g. interpret the gradient of a straight line graph as a rate of change. Draw graphs from given data.
C2.11 Construct tables of values for functions, and draw and interpret these graphs. Solve linear and quadratic equations approximately, including finding and interpreting roots by graphical methods. Recognise, sketch and interpret graphs of functions.
Coordinate Geometry: Coming Soon
