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

We want all student to become keen problem solvers and agile mathematical reasoners. This unit in particular develops these skills with

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:

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

43d Complete a two-way table

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