This is a project based on Benford's law. I had this idea after watching the Numberphile series on YouTube. This is a project based activity that involves many skills including working with large numbers, using percentages, representing data and probability.
The investigation is introduced to learners using the PPT (and optional YouTube links). Learners then split into four groups - each is given a random set of share prices [see Excel file]. Each group investigates the occurrence of numbers starting with each digit from 1 to 9.
FM Complex multi-step problem(s)
L1.1 Read, write, order and compare large numbers (up to one million)
L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
L1.15 Estimate answers to calculations using fractions and decimals
L1.27 Represent discrete data in tables, diagrams and charts including pie charts, bar charts and line graphs
L1.28 Group discrete data and represent grouped data graphically
L1.30 Understand probability on a scale from 0 (impossible) to 1 (certain) and use probabilities to compare the likelihood of events
L1.31 Use equally likely outcomes to find the probabilities of simple events and express them as fractions
An ESOL lesson embedding numeracy, diversity and British values, centred on the Spring Equinox and three festivals which happen around / on this day - Purim, Holi and Shunbun No Hi. Learners collect unfamiliar words on a vocabulary sheet and ask and answer questions to elicit meaning / explanation. There is a powerpoint to introduce the topic, using acronyms eg 7DIAW - Seven Days In A Week to elicit key words, and lead to an explanation of what the Vernal Equinox is and when it is.
FM E3.4 Multiply two-digit whole numbers by single and double digit whole numbers
E1.7 Know the number of days in a week, months, and seasons in a year. Be able to name and sequence
E2.7 Know the number of hours in a day and weeks in a year.
Generic resources for literacy, numeracy and beyond
Functional skills maths.
Extract information from mileage and distance (network) diagrams. Complete a mileage chart. Editor’s note
With worked solutions, pop up help and a final challenge question.
Ideal as an introduction or for revision.
This aural check was used to assess learners before they attended my intensive 1:1 support / revision sessions for the Level 1 Functional Maths exam. These were generally students that I had not met or taught before.
An interesting meld of description, investigation, paired discussion and tasks.
Ideal introduction to L1 averages – also useful at high E3.
Adapted from one page of Nikki Gilbey’sData Collection and Averages – functional tasks (listed below under See also).
A topical and challenging series of differentiated questions for upper E3 to Level 2. Based on a news report about the May 2015 relief effort and a table of statistics about the world’s largest earthquakes.
A counting game along similar lines to Snakes and Ladders. Learners will learn turn-taking, following instruction & basic counting skills. In addition, they will pick up social and communication skills along the way.
(Print onto A3 – a dice and counters needed)
A PPT version is also included to enable the game to be played on a smartboard.
The main resource has four pages. Three of the pages contain a chart and a brief to a group of students to discuss and write some sentences saying what the chart tells them. The twist is that each group of 3 students has a different chart drawn from the same data as the groups next to them. The fourth page has the table from which the charts were drawn.
The charts used are: dual/clustered bar chart comparing types of drink sold on two days. A stacked/composite bar chart and a percentage bar chart of the same data.
Choosing and purchasing food and drinks. General discussion of foods that can be bought in a cafe or other outlets.
Find the cheapest, most expensive, two the same price, etc.
E1 – match food pics to words
Adding up the total cost of their meal (whole pounds or Australian dollars only).
Plus a cafe order docket for a role play. Students can take turns in being a waiter or waitress and writing down orders and adding up the bill. This can be extended further using real or imitation money if desired.
Functional English - speaking, listening & communicating