A Level Quantitative Methods OCR

This subject is broken down into 48 topics in 6 modules:

  1. Algebra 8 topics
  2. Geometry and Trigonometry 9 topics
  3. Calculus 7 topics
  4. Statistics 8 topics
  5. Decision Mathematics 8 topics
  6. Further Statistics and Probability 8 topics
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  • 6
    modules
  • 48
    topics
  • 19,394
    words of revision content
  • 2+
    hours of audio lessons

This page was last modified on 28 September 2024.

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Quantitative Methods

Algebra

Simplifying expressions

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Simplifying expressions

Simplifying Expressions

Basics of Simplifying Expressions

  • Recognise that simplifying expressions involves reducing them to their simplest form.
  • Understand that this area focuses on simplifying both numerical and algebraic expressions.
  • Keep in mind that like terms can be combined to make simplification easier.

Operations on Algebraic Expressions

  • Familiarise yourself with the order of operations, often remembered as BIDMAS (Brackets, Indices, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).
  • Understand how to use associative, commutative, and distributive properties while simplifying expressions.

Key Techniques for Simplification

  • Learn to simplify expressions by combining like terms. Like terms are those that have the same variables raised to the same power.
  • Realise that when terms have exactly the same variables and exponents, their coefficients can be combined through addition or subtraction.
  • Remember to expand brackets where necessary using the distributive law (a(b+c) = ab + ac).
  • Know how to handle exponents and powers, including simplifying expressions with exponents.

Applications of Simplifying Expressions

  • Be aware that simplification is not just an abstract exercise. It has real applications in solving algebraic equations, thus enabling the solution of a wide range of mathematical problems.
  • Keep in mind that the essence of simplifying expressions lies in making complex calculations more manageable, hence, this concept has wide usage in real-life scenarios.
  • Be able to apply your skills in simplifying expressions in order to solve complicated algebraic problems.

Course material for Quantitative Methods, module Algebra, topic Simplifying expressions

Quantitative Methods

Statistics

Data collection and presentation

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Data collection and presentation

Data Collection Concepts

  • The importance of having a clearly defined objective for the data collection process.
  • Understanding the key differences between primary and secondary data. Primary data is collected first-hand for a specific purpose, whereas secondary data is previously collected and potentially used for an different purpose.
  • Remembering the key methods of data collection, such as observations, experiments, surveys, and existing data exploration.
  • Understanding the role of sampling techniques in data collection: simple random, systematic, stratified, and quota sampling.
  • Recognising the potential bias and errors in data collection, including non-response bias, selection bias, and measurement errors.

Data Presentation Techniques

  • Mastering the use of frequency distribution tables and histograms, including grouped and ungrouped data.
  • Getting familiar with scatter plots for bivariate data and how to identify correlation.
  • Understanding how to draw and read box-and-whisker plots and what they can reveal about data distribution.
  • Knowledge of pie and bar charts and when to use each type.

Central Tendency Measures

  • Understanding and calculating mean, median, and mode as measures of central tendency.
  • Recognising the strengths and weaknesses of these measures, knowing when to use each one in terms of sensitivity to outliers.

Data Dispersion Measures

  • Recognising and computing measures of dispersion like range, interquartile range (IQR), and standard deviation.
  • Understanding the importance of these measures in terms of data spread and variably.

Summary Statistics and Reporting

  • Understanding how outliers can impact summary statistics and knowing how to identify and handle them.
  • Skills in constructing statistical report, including clear presentation of findings, correct use of statistical terminology, and interpretation of the results in the context of the original objective of the data collection.

Remember, practice is fundamental to develop these skills for handling statistical data.

Course material for Quantitative Methods, module Statistics, topic Data collection and presentation

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