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Maths
Fichas del conjunto (41)
- 1Types of numbers: Natural NumbersNatural Numbers (ℕ): The set of positive integers starting from 1, such as 1, 2, 3, 4, 5, and so on.
- 2Types of numbers: IntegersIntegers (ℤ): The set of whole numbers, both positive and negative, including 0. Examples include -3, -2, -1, 0, 1, 2, 3, and so on.
- 3Types of numbers: Rational NumbersRational Numbers (ℚ): Numbers that can be expressed as a fraction or ratio of two integers. Rational numbers include integers, fractions, and terminating or repeating decimals.
- 4Types of numbers: Irrational NumbersIrrational Numbers: Numbers that cannot be expressed as a fraction or ratio of two integers. Irrational numbers are non-terminating and non-repeating decimals, such as π (pi) or √2.
- 5Types of numbers: Real NumbersReal Numbers (ℝ): The set of all rational and irrational numbers combined. Every number on the number line is a real number.
- 6Types of numbers: Complex NumbersComplex Numbers (ℂ): Numbers that include a real part and an imaginary part, with the imaginary part involving the square root of negative numbers (denoted by the symbol "i", where i^2 = -1). An example of a complex number is 2 + 3i.
- 7Types of number: Prime NumbersPrime Numbers: Numbers greater than 1 that can only be divided by 1 and themselves without leaving a remainder. Examples include 2, 3, 5, 7, 11, and so on.
- 8Types of number: Composite NumbersComposite Numbers: Numbers that can be formed by multiplying together two smaller positive integers. Examples include 4, 6, 8, 9, and so on.
- 9Basic OperationsBasic operations in mathematics refer to the fundamental arithmetic processes used to manipulate numbers. These operations are essential building blocks for more complex mathematical calculations and problem-solving.
- 10Basic Operations: AdditionAddition (➕): Adding two or more numbers together, resulting in a sum or total.
- 11Basic Operations: SubtractionSubtraction (➖): Taking one number away from another, resulting in a difference.
- 12Basic Operations: MultiplicationMultiplication (x): Multiplying two or more numbers together, resulting in a product.
- 13Basic Operations: DivisionDivision (➗): Dividing one number by another, resulting in a quotient.
- 14Fractions, Decimals, and PercentagesFractions, decimals, and percentages are different ways of representing parts of a whole or proportions of a quantity.
- 15Fractions, Decimals, and Percentages: FractionsFractions: Fractions represent parts of a whole, written as one number (the numerator) over another (the denominator). Fractions can be proper (numerator < denominator), improper (numerator > denominator), or mixed (a whole number and a proper fraction combined).
- 16Fractions, Decimals, and Percentages: DecimalsDecimals: Decimals are another way to represent parts of a whole or quantities less than one. They use a decimal point to separate the whole number part from the fractional part.
- 17Fractions, Decimals, and Percentages: PercentagesPercentages: Percentages are fractions where the denominator is always 100. They are used to express proportions or ratios and are denoted by the % symbol.
- 18Fractions, Decimals, and Percentages: Conversions 1To convert a fraction to a decimal, divide the numerator by the denominator.
- 19Fractions, Decimals, and Percentages: Conversions 2To convert a decimal to a percentage, multiply by 100 and add the % symbol.
- 20Fractions, Decimals, and Percentages: Conversions 3To convert a percentage to a decimal, divide by 100.
- 21Fractions, Decimals, and Percentages: Conversions 4To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100, then add the % symbol.
- 22Indices, Stand Form, and SurdsInvolve working with powers and roots of numbers
- 23Indices, Stand Form, and Surds: IndicesIndices are a way of expressing numbers that involves powers or exponents. A number written in index form consists of a base and an exponent, such as 2³ (read as "two to the power of three" or "two cubed"). The exponent indicates how many times the base is multiplied by itself.
- 24Indices, Stand Form, and Surds: Standard FormStandard form is a way of writing very large or very small numbers using indices and a decimal part. A number in standard form is written as A × 10^n, where A is a number between 1 and 10 (or -1 and -10 for negative numbers), and n is an integer.
- 25Indices, Stand Form, and Surds: SurdsSurds are irrational numbers that cannot be expressed as a fraction or a repeating decimal. Surds are represented using the square root symbol (√) or cube root symbol (∛). A surd in its simplest form has no factors under the root symbol that can be taken out.
- 26Factors, Multiples, and Prime NumbersFactors, multiples, and prime numbers are fundamental concepts in mathematics that are essential for solving various problems and understanding number properties.
- 27Factors, Multiples, and Prime Numbers: FactorsA factor of a number is an integer that divides exactly into the number without leaving a remainder. Every number has 1 and itself as factors, and some numbers have additional factors as well.
- 28Factors, Multiples, and Prime Numbers: MultiplesA multiple of a number is an integer that is obtained by multiplying the number by any other integer. In other words, a multiple is a number in the times table of the given number.
- 29Factors, Multiples, and Prime Numbers: Prime NumbersA prime number is a positive integer greater than 1 that has exactly two factors: 1 and itself. In other words, a prime number can only be divided evenly by 1 and itself.
- 30Ratios, Proportions, and Rates of ChangeRatios, proportions, and rates of change are important mathematical concepts that help describe relationships between quantities and how they vary
- 31Ratios, Proportions, and Rates of Change: RatiosA ratio is a way of comparing two or more quantities of the same kind. Ratios can be written in various forms, such as using the word "to" (e.g., 3 to 4), using a colon (e.g., 3:4), or as a fraction (e.g., 3/4).
- 32Ratios, Proportions, and Rates of Change: ProportionsA proportion is an equation that shows the equality between two ratios or rates. Proportions can be used to solve problems involving scaling or finding unknown quantities.
- 33Ratios, Proportions, and Rates of Change: Rates of ChangeA rate of change measures how quickly one quantity changes with respect to another. It is commonly used to describe how variables such as distance, speed, and temperature change over time.
- 34Vectors 1Vectors are objects that have both magnitude (size) and direction. They are used to represent quantities that have both these characteristics, such as displacement, velocity, acceleration, and force. Vectors can be visualised as arrows, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction of the vector.
- 35Vectors 2Vectors can be added, subtracted, and multiplied by scalars (numbers). The result of adding or subtracting vectors is another vector, while multiplying a vector by a scalar changes its magnitude.
- 36Vectors 3To model and analyse various phenomena involving magnitudes and directions. Vectors are used in geometry to represent displacements, positions, and directions in coordinate systems.
- 37Vectors: MagnitudeMagnitude: The length of a vector, representing its size or amount.
- 38Vectors: DirectionDirection: The orientation of a vector, indicating the way it is pointing.
- 39Vectors: ComponentsComponents: Vectors can be broken down into components along coordinate axes, which can be useful for calculations.
- 40Vectors: Addition and SubtractionAddition and Subtraction: Vectors can be combined by adding or subtracting corresponding components, resulting in a new vector.
- 41Vectors: Scalar MultiplicationScalar Multiplication: Multiplying a vector by a scalar (a number) changes its magnitude but not its direction
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- GCSE Maths Fichas sobre Maths, creado por Rosie Hull el 02/05/2024.
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- Rosie Hull
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