FM L1.15 Estimate answers to calculations using fractions and decimals

L1.15 Estimate answers to calculations using fractions and decimals

Subject content [reformed] functional skills: Mathematics (DfE, Feb 2018): 

https://www.gov.uk/government/publications/functional-skills-subject-content-mathematics

Large set of questions inspired by the recent (2019) 75th anniversary of the D Day Landings.  Covers many aspects of the Reformed FS 2018 content such as bearings, nets, underpinning questions and non-calculator tasks.

Editor's notes

Level
Level 1
Level 2
Maths
FM Context free underpinning
FM Straightforward problem(s) with more than 1 step
FM L1.1 Read, write, order & compare large numbers (up to one million)
FM L1.15 Estimate answers to calculations using fractions and decimals
FM L2.2 Carry out calculations with numbers up to 1 million inc. strategies to check answers e.g. estimation & approximation
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
FM L2.8 Express one number as a fraction of another
FM L1.19 Calculate discounts in multiples of 5% on amounts of money
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
FM L1.22 Calculate area & perimeter of simple shapes inc. those made up of combination of rectangles
FM L1.23 Calculate the volumes of cubes & cuboids
FM L1.24 Draw 2-D shapes & demonstrate an understanding of line symmetry & knowledge of the relative size of angles
FM L1.26 Use angles when describing position & direction, & measure angles in degrees
FM L1.25 Interpret plans, elevations & nets of simple 3-D shapes
FM L1.27 Represent discrete data in tables, diagrams & charts inc. pie charts, bar charts, line graphs
Context
History, culture, museums, libraries
Employment skills & Public services

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.

Editor's note

Level
Level 1
Level 2
Maths
FM Complex multi-step problem(s)
FM L1.1 Read, write, order & compare large numbers (up to one million)
FM L1.14 Calculate percentages of quantities, inc. simple percentage increase / decrease by 5% & multiples of
FM L1.15 Estimate answers to calculations using fractions and decimals
FM L1.27 Represent discrete data in tables, diagrams & charts inc. pie charts, bar charts, line graphs
FM L1.28 Group discrete data & represent grouped data graphically
FM L1.30 Understand probabilities on a scale from 0 to 1; use to compare the likelihood of events
FM L1.31 Use equally likely outcomes to find probabilities of simple events & express as fractions
Context
Business & Money management