# + Number & Measures

• ## Fitting Numbers

Consolidation and practice of basic addition and multiplication of pairs of numbers from 1 to 10.

• ## Science Assessments

End of year assessments for use with BTEC Science students (OCR/MEI).

End of year assessments for use with BTEC Business students (AQA).

• ## Percentage Calculations

This resource provides a series of questions to review and assess students’ understanding of percentage calculations.

• ## Percentages in finance: Assessment

This is a short assessment task on the use of percentages in a range of financial contexts.

• ## Bar Code

Introduction to coding: What makes up a bar code?

• ## Cost to the Moon

This is a research task involving calculation, estimation and online research.

• ## Skin Area

Estimation and calculation of length, weight, area, volume and surface area of solids and compound solids.

• ## One million miles

This task provides an opportunity for students to create some questions based on a stimulus, to decide what information they need to gather to help them answer the questions, and then to work out the answers.

• ## MEI - Estimation, Assumptions and Predictions

Introduction to Fermi estimation: Revision of significant figures and estimation by rounding, before considering and predictions in real life scenarios.

• ## Budgeting and Foreign Exchange

This has the potential to be a big project, involving budgeting for an adventurous holiday or gap year; and dealing with foreign exchange rates along the way.

• ## Braille

Analysing Braille and calculating the number of different patterns that exist using a 3 x 2 design.

• ## Exponential Growth and Decay

Introduction to exponential growth and decay: Compound interest for savings and depreciation of assets.

• ## Horse Manure

Researching data, making estimations and performing calculations to determine the reasonableness of a prediction.

• ## MEI - Using and Abusing Percentages

Investigating the use (and abuse) of percentages in research and media.

• ## MEI - Fermi Estimates

Problems involving Fermi estimation.

• ## MEI - Estimates From Limited Data

Introduction to Fermi Estimation.

• ## MEI - Is This A Valid Argument?

Develops students’ ability to recognise and explain some of the reasons for incorrectly assuming causation, and identify where further information is required before a decision can be reached.

• ## Fermi Estimation - Tea in China

This resource introduces Fermi estimation, and suggests three scenarios to explore.

• ## Oxford Air Temperature

This project includes: 1. A short guide to Microsoft Excel, incorporating activities to explore. 2. Exploring climate data using Microsoft Excel.

• ## Body Mass Index (BMI)

This task involves working with BMI and making decisions based on BMI, which is calculated using a given formula.

• ## Body Surface Area

This task involves estimating a person’s surface area – from having a guess, to using practical resources and then using formulae.

• ## Core Maths in Pictures

This simple resource consists of a series of pictures that can be used as a starting point to generate Fermi estimation questions.

• ## Car Park

Students are asked to apply their knowledge of Upper and Lower Bounds to the test by designing a car park.

• ## Healthy Eating Design

These are modelling tasks: To design a muesli and compare the costs with bought muesli (Paola’s muesli) To design a ‘Banana and Milk’ diet

Use data from the ‘What do graduates do?’ survey (http://www.hecsu.ac.uk/assets/assets/documents/WDGD_Sept_2013.pdf) to complete a two-way table and draw conclusions.

• ## Shape and Space

Students work in pairs to identify the force on the foundations of twelve iconic buildings.

• ## Interest and Depreciation

This task involves investigating various aspects of interest and depreciation, including compound interest and the effects of compounding over different numbers of periods (for example annually, monthly or weekly).

• ## Paper Planes

Students compare and analyse the flight distances (and/or times) of various designs of paper plane.

• ## Removal Company

Students research required data, make estimates and perform calculations to come up with a realistic quote that a removal company may give to a client in the given scenario.

• ## Surface area to volume ratio of cells

Students apply their understanding of surface areas and volumes of cuboids to cells.

• ## What Can You Lift?

This is an open-ended task involving calculation, measures and estimation.

• ## Mr Man’s birthday

Students need to be systematic in finding dates of birth where the square of the year (the last two digits) gives the day and the month, e.g. 26/01/51, because 51^2=2601.

• ## London Underground

Having recapped Pythagoras’ Theorem, students apply this to a real-life situation – how many steps there are on a London Underground escalator.

• ## Which plant should we close?

This real-life scenario uses business information to make decisions.

• ## Olympic medal ranking

This is an introduction to the use of spreadsheets by looking at how countries are ranked at the Olympic Games

• ## The box problem

This is a simple modelling task which can be used early in the course to demonstrate how students’ existing mathematical knowledge can be used to solve an optimisation problem.

• ## Credit card errors

The handout describes how the Luhn algorithm is used to provide a check digit that helps to indicate accidental errors made when inputting credit (or debit) card numbers.