Unit 10
Statistics and Probability
Intent
The intention of this unit is to secure and build upon knowledge from Key Stage 2 and Year 7 and to introduce new concepts that lay the foundations of key concepts that will underpin units in Year 9 such as
Drawing and interpreting a range of graphs and charts
Calculating a range of statistical measures
We want all students to become keen problem solvers and agile mathematical reasoners. This unit in particular develops these skills with
The application of game theory
Implementation
For each strand in the unit students begin with lessons refreshing Year 7 knowledge before new concepts are introduced. At the end of each strand there are revision and mastery lessons to consolidate and ensure all students have picked up on new ideas.
From the 3rd week of the unit students will complete a weekly knowledge check so they can measure how their knowledge and expertise is building before the test.
During this unit there will be two longer written homework tasks which include a skills check as well as problem solving questions. Students will have an opportunity to follow-up and improve their work.
Impact
The impact of this unit of work will be measured through a 45 minute written assessment. The assessment will feature questions similar to the skills check and homework tasks. The assessment will cover every aspect of the unit of work and using the knowledge organiser together with this website is a great way to prepare for the test.
Topics covered in this unit:
Star / Star*
23d Complete a tally chart for discrete or categorical data
24d Read a pictogram for categorical data given a simple key
26d Draw a pictogram for categorical data, including deciding what key to use
25d Read from or complete a bar chart for categorical data with a simple scale
27d Draw a bar chart for categorical data, including deciding what scale to use
35d Draw and read from combined bar charts
36d Draw and read from a vertical line chart for discrete data
28d Recognise the mode from a list of data or a bar chart
30d Calculate the range from a list of data or a bar chart
31d Calculate the median from an odd or even list of data
33d Compare data by referring to mode / median and range
29d List the possible outcomes of an experiment
Core
40d Distinguish between types of data: discrete, continuous and categorical
41d Complete a grouped frequency tally chart
47d Draw and read from stacked bar charts
49d Draw and read from tables and line graphs for time series data
48d Read and interpret pie charts including working out fractions or totals for each category
58d Calculate the angles and draw a pie chart from data in a table
51d Draw a scatter graph, comment on correlation and use a line of best fit to make estimates
55d Draw up a frequency tree from a list of information and use it to solve problems
56d Draw up and use a two-way table from a list of information
38d Draw a stem and leaf diagram and use it to find mode, median or range
42d Calculate the mean from a list of data and compare which is the best average to use
60d Use averages to work out the values of missing data
59d Calculate the mean, mode or median from a frequency table
52d Identify possible outliers from a list of data and omit them in calculating range
64d Compare distributions of data by referring to averages and spread
46d Sort sets of numbers into a Venn diagram
61d Use set notation including {},A´, Ø, ∩ and U to refer to Venn diagrams
37d Decide if events are random or not or fair or not
39d Calculate probability based on equally likely outcomes
44d Use the fact that probabilities sum to 1
50d Define mutually exclusive and calculate the probability of either event happening
45d List possible combinations and use your list to calculate probabilities
53d Calculate probability based on relative frequency
57d Understand that by increasing sample size outcomes will tend towards theoretical probabilities
54d Work out the expected number of successes given the probability and number of trials
Plus / Plus+
69d Explain that correlation does not imply causation in a given context
63d Calculate the mean from a grouped frequency table
65d Define random sample and explain a method of selecting a random sample
67d Define independent and calculate the probability of independent events both happening
68d Complete a tree diagram with independent probabilities and use it to calculate probabilities