A sector is the region formed between two radii and their connecting arc.

A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.

Checking understanding of pie charts

Maths

Checking understanding of summary statistics from a list

Checking understanding of summary statistics from a frequency table

Calculating summary statistics from a grouped frequency table

Calculating the mean from a grouped frequency table

Constructing stem and leaf diagrams

Calculating summary statistics from stem and leaf diagrams

Checking understanding of measures of central tendency

Comparing data sets in context

Checking understanding of bar charts and pictograms

Checking understanding composite and bar-line charts

Statistical summaries using technology

Comparing various representations of data sets

Problem solving with comparisons of numerical data

In this unit, pupils began to compare two different sets of data. In the future unit, pupils will consider cumulative frequency graphs and histograms and compare the data from these diagrams to other graphical representations.

In the prior unit, pupils considered the mean, median and mode and evaluated their usefulness in a variety of contexts. In this unit, pupils extend this learning to comparing two different data sets and comparing these measures of central tendency.

In this unit pupils will compare two different data sets and compare different measures of central tendancy when interpreting the data. Pupils will learn to interrogate frequency tables and stem and leaf diagrams both with and without technology.

Comparisons of numerical summaries of data

The table shows the number of people at Location 1 and their preferred way to cook potatoes. Calculate the size of the angle for roasted potatoes.

The table shows the number of people at Location 1 and their preferred way to cook potatoes. Calculate the size of the angle for mashed potatoes.

The same number of people (25 people) voted for boiled at both Locations 4 and 5

The same percentage of people (25%) voted for boiled at both Locations 4 and 5

A greater number of people voted for roasted in Location 5 than Location 4

A greater proportion of people voted for roasted in Location 5 than Location 4

The same number of people voted in Locations 4 and 5

Below are correctly drawn pie charts showing the preferred cooking methods for potatoes for people at Locations 4 and 5. Select the statements that may not be true.

True. The maximum angle that can be drawn is 180°.

True. The range of values is from 0 to 180.

False. You can split the angle into 180° plus the remaining angle.

False. You can draw any angle without any additional work required.

True or false? A protractor with a maximum angle of 180° cannot be used to draw an angle bigger than 180°.

Neither - they have the same number of pupils who walk to school.

In which school did more pupils walk to school?

300 pupils walk to Rowanwood school. If one quarter of the 400 pupils who attend Oakfield don't walk to school, which school has more pupils that walk to it?

Match the descriptions for amounts of rotation with the number of degrees each is equivalent to.

If 4 tennis balls cost £3, then how much would 24 tennis balls cost? Make sure to include units in your answer.

If 5 footballs cost £35, then how much would 8 footballs cost?

There would be a non-integer number of table tennis balls.

If 80 table tennis balls cost £22, then how many table tennis balls would cost £3?

Sofia and Lucas both purchase books at a secondhand bookstore to donate to their school. Each book costs the same amount. How much more, in pounds, did Lucas spend on books?

Checking understanding of pie charts

Lesson outcome