The systematic approach to calculating the arithmetic mean, matching the modern definition, is largely credited to the mathematician Al-Khwarizmi in the 8th and 9th centuries, who introduced decimal-based calculation methods.
AVERAGES AND SPREAD
Key questions
What is a population and a sample?
Can we calculate summary statistics for ungrouped data?
How do we work with grouped data?
Can we draw and use stem and leaf diagrams?
Can we problem solve with summary statistics?
Can we draw a box and whisker plots?
Can we use the Capture-Recapture method?
How can we compare data sets?
3 lessons
Literacy
stories that set a frame or background
stories that accompany or intertwine
stories that introduce
stories that explain
stories that ask a question
stories that entertain
Introduce...
average spiders - 2, 4
averages small data sets - 2, 4
beginning averages - 2, 4
estimating mean - 3
first steps summarising data - 2, 4
strengthen summarising data - 2, 4
extend summarising data - 2, 4
frequency tables - 3, 4
Develop...
averages and range - 2, 4
averages change - 2, 4
averages overload - 2, 3, 4
averages puzzles - 2, 4
averages reverse questions - 2, 4
box and whisker - 2, 5
box plots and quartiles - 2, 5
mean frequency distribution - 3, 4
median and iqr - 2
sampling trees - 1, 2
Extend...
averages with fractions - 2, 4
averages with surds - 2, 4
marvel character data - 4, 6
mean with algebra - 3, 4
means of expressions - 2, 4
standards unit averages - 2, 4
standards unit box plots - 4, 5
sum difference - 2, 4
two poems - 2, 4, 6
US presidents - 2, 4, 5, 6