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# L1l2fmdecimalproblems

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• Kindly contributed to www.skillsworkshop.org by Elizabeth Adeyemi, South Thames College. Feb 2010
• ### L1l2fmdecimalproblems

1. 1. Functional Mathematics Problem solving with decimals <ul><li>Underpins the following coverage & range statements </li></ul><ul><li>Level 1 </li></ul><ul><li>add and subtract decimals up to two decimal places </li></ul><ul><li>convert units of measure in the same system </li></ul><ul><li>solve problems requiring calculation, with common measures, including money, time, length, weight, capacity & temperature </li></ul><ul><li>extract and interpret information from tables, diagrams, charts and graphs </li></ul><ul><li>understand and use equivalences between common fractions, decimals and percentages </li></ul><ul><li>Level 2 </li></ul><ul><li>carry out calculations with numbers of any size in practical contexts, to a given number of decimal places </li></ul>Kindly contributed to www.skillsworkshop.org by Elizabeth Adeyemi, South Thames College
2. 2. Functional Mathematics Problem solving with decimals Kindly contributed to www.skillsworkshop.org by Elizabeth Adeyemi, South Thames College <ul><li>Level 1 </li></ul><ul><li>understand practical problems in familiar and unfamiliar contexts and situations, some of which are non-routine </li></ul><ul><li>apply mathematics in an organised way to find solutions to straightforward practical problems for different purposes interpret and communicate solutions to practical problems, drawing simple conclusions and giving explanations </li></ul><ul><li>identify and obtain necessary information to tackle the problem </li></ul><ul><li>use appropriate checking procedures at each stage </li></ul><ul><li>select mathematics in an organised way to find solutions </li></ul><ul><li>Level 2 </li></ul><ul><li>understand routine and non-routine problems in familiar and unfamiliar contexts and situations </li></ul><ul><li>apply a range of mathematics to find solutions </li></ul><ul><li>interpret and communicate solutions to multistage practical problems in familiar and unfamiliar contexts and situations </li></ul><ul><li>identify the situation or problems and identify the mathematical methods needed to solve them </li></ul><ul><li>use appropriate checking procedures and evaluate their effectiveness at each stage </li></ul><ul><li>draw conclusions and provide mathematical justifications </li></ul><ul><li>choose from a range of mathematics to find solutions </li></ul>When using this resource teachers should assess and reinforce the L1-2 skill standards:
3. 3. <ul><li>Aims: </li></ul><ul><li>Use efficient and accurate methods to solve contextualised problems involving money/decimals </li></ul><ul><li>Learning outcomes: </li></ul><ul><li>By the end of the lesson ALL learners will be able to: </li></ul><ul><li>Read, write and understand decimals up to two decimal places in practical contexts. (as: common measures to one decimal place, e.g. 1.5m; money in decimal notation) </li></ul><ul><li>carry out simple calculations involving money. </li></ul><ul><li>identify the correct mathematical procedures needed to solve problems </li></ul><ul><li>Some learners will be able to (differentiated outcomes for more able learners within the group): </li></ul><ul><li>carryout the calculations efficiently and accurately. </li></ul><ul><li>Calculate cost of credit on loans and hire purchase. </li></ul>Functional Mathematics Problem solving with decimals
4. 4. Money Problem Solving Show all your working out – you can use a calculator <ul><li>1) 4030 people go to a football match. Each ticket costs \$4.25. </li></ul><ul><li>What is the total cost of all the tickets? </li></ul><ul><li>2) A person earns \$345 per month. </li></ul><ul><li>What is his annual salary? </li></ul><ul><li>3) You pay \$558.72 in tax per year. </li></ul><ul><li>How much do you pay per month in tax? </li></ul>
5. 5. <ul><li>4) Arnis pays \$58.50 per week in rent. </li></ul><ul><li>How much does he pay per year? </li></ul><ul><li>5) Sale items were advertised at half price of normal prices. </li></ul><ul><li>What did it cost in a sale to buy a blouse, skirt and jeans if the normal prices were \$17.60, \$19.40 and \$14.40 respectively? </li></ul>Money Problem Solving Show all your working out – you can use a calculator
6. 6. Choosing a savings account <ul><li>TASK 1 </li></ul><ul><li>What things would you take into consideration when opening an account? </li></ul><ul><li>Rate the following in order of importance to you: 1 most important to 12 least important </li></ul><ul><li>Friendly staff </li></ul><ul><li>Close to where you live </li></ul><ul><li>Good rates of interest </li></ul><ul><li>Recommended by a friend </li></ul><ul><li>Has cash machines </li></ul><ul><li>Low bank charges </li></ul><ul><li>Nice carpets </li></ul><ul><li>A well known company </li></ul><ul><li>Good adverts </li></ul><ul><li>Informative staff </li></ul><ul><li>Easy to understand literature </li></ul><ul><li>Short queues </li></ul>
7. 7. <ul><li>Convert the following to centimetres: </li></ul><ul><li>(a) 5 metres (b) 30 millimetres (c) 270 millimetres </li></ul><ul><li>Convert the following to millimetres: </li></ul><ul><li>(a) 21cm (b) 315 cm (c) 4.6 cm </li></ul><ul><li>Convert the following to metres: </li></ul><ul><li>(a) 500cm (b) 3km </li></ul><ul><li>You are fitting kitchen cabinets. The gap for the last cabinet is 80cm. The sizes of the cabinets are shown in millimetres. Which size should you look for? </li></ul><ul><li>Thirty children in a class each need 20 cm of string for a project. How many metres of string will they use all together? </li></ul>Metric measures Show all your working out – you can use a calculator