AQA Maths Higher GCSE Unit 1

Statistics & number

Unit 1 includes


Fractions & Decimals

  • Add, subtract, multiply and divide any number
  • Order of operations and inverse operations
  • Rounding to the nearest whole number, 10, 100, 1000 or million
  • Rounding to Decimal places
  • Rounding to Significant figures
  • Choosing an appropriate degree of accuracy
  • Finding maximum and minimum values for rounded numbers
  • Combining upper and lower bounds to find maximum and minimum values for calculations
  • Practical problems involving bounds
  • Using a calculator for adding, subtracting, multiplying and dividing
  • Using a calculator to check answers
  • Entering complex calculations on a calculator
  • Understanding and using calculator functions
  • Understanding and interpreting the calculator display
  • Equivalent fractions
  • Simplifying fractions
  • Converting between fractions, decimals and percentages
  • Using fractions to compare data
  • Multiplying fractions
  • Multiplying decimals
  • Fractions of quantities
  • Adding, subtracting, multiplying and dividing fractions using a calculator
  • Compound interest

Indices & Standard Form

  • Converting ordinary numbers into standard form
  • Converting standard form into ordinary form
  • Ordering numbers in standard form
  • Calculating with numbers in standard form
  • Standard form on a calculator

Collecting Data

  • The Data Handling Cycle
  • Hypotheses
  • Sampling methods
  • Choosing suitable sampling methods
  • Discussing statistical findings and their significance
  • Quantitative, qualitative, discrete and continuous data
  • Identifying the type of data and choosing suitable diagrams
  • Grouped and ungrouped data, including pros and cons of grouped data
  • Primary and secondary data
  • Bias: how and why it may arise and how to minimise it
  • Writing and criticising questions and response sections for questionnaires
  • Data collection methods observation, controlled experiment, questionnaire, survey and data logging
  • Choosing suitable data collection methods
  • Designing and using data collection sheets
  • Extracting data from printed tables and lists
  • Two-way tables
  • Scatter graphs
  • Stem-and-leaf diagrams
  • Tally charts
  • Bar charts and dual bar charts
  • Pie charts
  • Line graphs
  • Frequency polygons
  • Histograms
  • Cumulative frequency diagrams
  • Box plots
  • Relative frequency diagrams
  • Choosing appropriate diagrams for different data types

Percentages

  • Understanding percentage as a number out of 100
  • Converting between fractions, decimals and percentages
  • Using percentages to compare data
  • Multiplying by percentages
  • Percentage of quantities
  • Percentage increase and decrease
  • One quantity as a percentage of another
  • Reverse percentage
  • Compound interest

Ratio & Proportion

  • Understanding ratio notation
  • Interpreting ratio as a fraction
  • Simplifying ratios
  • Ratio and proportion problems
  • The unitary method
  • Repeated proportional change

Statistical Measures

  • Scatter graphs
  • Stem-and-leaf diagrams
  • Tally charts
  • Pictograms
  • Bar charts and dual bar charts
  • Pie charts
  • Line graphs
  • Frequency polygons
  • Histograms
  • Cumulative frequency diagrams
  • Box plots
  • Choosing appropriate diagrams for different data types
  • Comparing diagrams in order to make decisions about a hypothesis
  • comparing data using the mean and the range
  • Comparing data using the median and the interquartile range
  • Finding patterns in data and identifying unusual data values
  • Calculating mean, median, range, mode and modal class from lists, tables or diagrams
  • Mean from discrete frequency distributions
  • Median from discrete frequency distributions or stem-and-leaf diagrams
  • Mode or modal class from frequency distributions
  • Estimating mean from grouped frequency distributions
  • Median interval from grouped frequency distributions
  • Lower quartile, upper quartile and inter-quartile range
  • Estimating median from histograms
  • Choosing the appropriate average

Representing Data

  • Scatter graphs
  • Stem-and-leaf diagrams
  • Tally charts
  • Pictograms
  • Bar charts and dual bar charts
  • Pie charts
  • Line graphs
  • Frequency polygons
  • Histograms
  • Cumulative frequency diagrams
  • Box plots
  • Choosing appropriate diagrams for different data types
  • Comparing diagrams in order to make decisions about a hypothesis
  • comparing data using the mean and the range
  • Comparing data using the median and the interquartile range

Scatter Diagrams

  • Types of correlation
  • Correlation strength
  • Correlation and causality
  • Lines of best fit

Probability

  • Probability vocabulary
  • Writing probabilities as fractions, decimals or percentages
  • Probability scales
  • Equally likely outcomes
  • Relative frequency
  • Listing outcomes systematically
  • Using two-way tables to list outcomes
  • Mutually exclusive outcomes
  • The sum of the probabilities of  all possible mutually exclusive outcomes is one