the duck of maths

GCSE Module 1 Foundation
- what you need to know

This is a list of all the topics that you need to know for Module 1 Foundation. An idea of the grade level is given in brackets

Statistical Calculations

  • Find the mode for a set of numbers (G)
  • Find the median for a set of numbers (G)
  • Work out the range for a set of numbers or a graph (F)
  • Calculate the mean for a set of numbers (F)
  • Find the median for an even set of numbers (F)
  • Write down the mode from a graph (F)
  • Calculate the ‘fx’ column for frequency distribution (E)
  • Compare the mean and range of two distributions (E)
  • Calculate the mean for a frequency distribution (D)
  • Find the modal class for grouped data (D)
  • Find the mean and median for grouped data (C)

Collecting Data

  • Design and use tally charts for discrete and grouped data (G)
  • Design and use two-way tables for discrete and
    grouped data (E)
  • Classify and know the difference between various types of data (D)
  • Use a variety of different sampling methods (D)
  • Design and use data collection sheets and questionnaires (D)
  • Identify possible sources of bias in the design and use of data collection sheets and questionnaires (C)
Statistical Diagrams
  • Construct and interpret a pictogram (G)
  • Construct and interpret a bar chart (G)
  • Construct and interpret a dual bar chart (F)
  • Interpret a pie chart (F)
  • Construct a pie chart (E)
  • Interpret a stem and leaf diagram (E)
  • Construct an ordered stem and leaf diagram (D)
  • Construct a frequency diagram (D)
  • Interpret a time series graph (D)

Scatter Graphs

  • Draw a scatter graph by plotting points on a graph (D)
  • Interpret the scatter graph (D)
  • Draw a line of best fit on the scatter graph (D)
  • Interpret the line of best fit (C)
  • Identify the types and strength of the correlation (C)

Probability

  • Understand and use the vocabulary of probability (G)
  • Understand and use a probability scale (F)
  • Express a probability as a fraction (F)
  • Display outcomes systematically (F)
  • Understand the difference between experimental and theoretical probability (E)
  • Understand and use relative frequency (E)
  • Use a two-way table to find a probability (D)
  • Understand mutually exclusive outcomes (D)
  • Use the fact that the probabilities of mutually exclusive outcomes add up to 1 (D)
  • Use probability to estimate outcomes for a population (C)