# 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