I need to design a container that has a volume of 400cm3 to one significant figure.

I am a business man so if you want to win the contract you need to think creatively and efficiently to come up with an interesting box that will help sell my product.”

“I need containers to sell a new brand of sweets that I am bringing out.

Ideas for Open Ended Lessons that make Mathematics Relevant

and Exciting.

Our Aims…

We would like you to leave the session with ideas towards lessons which allow differentiation by outcome, support pupils creativity, and reflect the ethos of the new curriculum.

Why do we teach Open Ended

Lessons?

Increases Independent

Learning

Provides a Context

Improves Life Skills

ProblemSolving

ResearchSkills

MathematicalCommunication

Creativity

GroupWork

Mathematicsin the real world

IncreasesUnderstanding

Differentiationby Outcome

Challenging

ImprovesQuestioning Skills

Motivation Own line ofenquiry

Individuality

Incorporatesdifferentlearningstyles

Real lifeScenarios

Real datasources

The Great West Park Get Away…

Where do you want to go?You can go anywhere you want as long as you

don’t spend more than £50 and you must remain within the law.

Last years best planner managed to send someone 452 miles!

Objective: Plan a healthy week for yourself or your partner. Your work should be presented as a report. It should include:An exercise plan for the week.Calculations showing how many calories should be consumed each day.Appropriate food and drink consumption for a day.All mathematical calculations, clearly presented and explained. Your report should also:Take into account your needs, lifestyle and characteristics (e.g. age, weight, fitness).Show which websites you used for your information. Extra credit can be gained for:Any other appropriate advise to be followed during the week (e.g. time spent asleep). 

Here is some useful information…

• If you stayed in bed all day and did nothing you still burn calories.

• These calories are used to; Maintain the bodies functions - to breathe, to keep the heart beating, to keep the body warm and all the other functions that keep the body alive, for growth and for repair.

• The amount of calories you would burn if you did nothing is called your Basal Metabolic rate (BMR)

• In addition to this you also burn calories by moving and contracting your muscles. This can be just sitting up, moving around a room, walking or exercise.

• You need to calculate your BMR and estimate how many calories you burn in addition to this (e.g. by moving around and by exercising).

• Finally if you go to the ‘O’ drive, maths, 10y2, there is a document with some useful Web links to help get you started.

Mapping the Mathematics behind these tasks.

Be Healthy Be Happy

Calories

Balance consumption and expenditure

Percentages of different fats

Weights& Measures of RDA’s

TaskTo plan a meal for a dinner party.

To be successful for this task you need to have…A menu planned for the evening.A list of ingredients you need to buy including quantitiesYour work should be presented in a clear and organised way. All of you working out should be included

PrizesPrizes will be awarded for the piece of workwhich;Has met all the success criteria.Is most clearly presented and organised.Includes an original idea.

Tasks For All Abilities

Any Questions…