Understanding. Functional Skills. Maths level 1. Workbook 10-2D/3D and scale EQL SOLUTIONS

Transcription

1 Understanding Functional Skills Maths level 1 Workbook 10-2D/3D and scale EQL SOLUTIONS

2 INTRODUCTION TO THE MATHEMATICS FUNCTIONAL SKILLS QUALIFICATION AT LEVEL 1 In order to meet the assessment criteria for mathematics at level 1 you will be required to demonstrate your ability to represent, analyse and interpret, using number, geometry and statistics plus a selection of other skills in the coverage and range within functional contexts. Represent Analyse Interpret This means that you will need to: Understand practical problems in familiar and unfamiliar situations. Identify and obtain the necessary information to tackle the problem. Select mathematics in an organised way to find solutions. This means that you will need to: Apply mathematics to find solutions to straightforward practical problems for different purposes. Use appropriate checking procedures at each stage. This means that you will need to: Interpret and communicate solutions to practical problems; drawing simple conclusions and giving explanations. Functional Skills in mathematics at level 1 has 14 areas of coverage and range : Understand and use whole numbers and understand negative numbers in practical contexts Add, subtract, multiply and divide whole numbers using a range of strategies Understand and use equivalences between common fractions, decimals and percentages Add and subtract decimals up to two decimal places Solve simple problems involving ratio, where one number is a multiple of the other Use simple formulae expressed in words for one- or two-step operations Solve problems requiring calculation, with common measures, including money, time, length, weight, capacity and temperature Convert units of measure in the same system Work out areas and perimeters in practical situations Construct geometric diagrams models and shapes Extract and interpret information from tables, diagrams, charts and graphs Collect and record discrete data and organise and represent information in different ways Find mean and range Use data to assess the likelihood of an outcome Page 2

3 You will be given 1 1/2 hours to complete the test, in which there will be a total of 40 possible marks to achieve. The 40 marks will be broken down into different tasks or a series of questions. Over 75% of the questions will require open-response answers. Open response assessment is defined as: Task-based assessment based on real-life contexts that require learners to apply their skills, knowledge and understanding in order to resolve problem/s or produce effective outcome/s Presenting purposeful tasks and problems, embedded in realistic scenarios but does not prescribe the processes or the methods by which the learner responds Instead of choosing from answers given to you, with this type of question you will need to show the process you have used to obtain your final answer. It is very important to read the question carefully. The way the question is worded will give you valuable clues about how you should answer it. Please note - Calculators are provided for use during the test. Top Tip After each question in your test the maximum number of marks you can obtain through your answer will be displayed. This should give you a clue about how much detail you are expected to show. It is a good idea to try to complete a question, even if you are unsure that you have the correct answer, as you may be awarded some marks for the method you have shown. Page 3

4 Please find below a selection of very useful websites that can provide additional support resources in Maths. Please take the time to study and review these. Click on a topic you are interested in and you will see the different types of materials or activities that are there to help you with that topic. For each topic, you will find fact sheets, worksheets, quizzes and games. Job skills related resources also available. A good site with adult literacy and numeracy activities including more than 1500 free Functional Skills and Skills for Life resources. These are interactive literacy and numeracy practice materials, designed to supplement teaching. The practice material is generic and has been set in everyday recognisable settings. Interactive quizzes that allows you to develop both English and maths skills. Even has a facility to be used on a mobile device. Page 4

5 ANGLES MSS2/L1.1 An angle is a measurement of turn. Angles are measured in degrees. To measure an angle you use a protractor. A right angle is a quarter turn and is 90⁰. A right angle is often marked on a diagram with a small square. 90 o A quadrilateral is a four-sided shape with 4 interior angles. The 4 angles always add up to 360⁰. Example A triangle is a three-sided shape with 3 interior angles. The 3 angles always add up to 180⁰. 30 o Page 5 75 o 75 o

6 TESSELLATION MSS2/L1.1 If identical shapes fit together and have no gaps, we say they tessellate. Example If you put four squares together they tessellate. To tessellate, a shape must be regular. This means that the shape must have equal sides and equal angles. Page 6

7 SYMMETRY MSS2/L1.1 For a shape to be symmetrical this means that both of its halves must match each other. Lines of symmetry Page 7

8 MAPS AND SCALE MSS2/L1.11 A map is a detailed drawing of an area of land. The scale of a map tells us how to interpret the measurements of the land. Example 1: The scale of the map below is 1cm to 1km. If on the map the distance from the station to Elmfield Training is 4cm this means the actual distance would be 4km. Example 2: A scale is given as 1cm to 2km. The distance between two towns measures 4.6cm. To calculate the actual distance you would follow the process as below. 1cm represents 2km, so 4.6cm represents = 9.2 km Page 8

9 ROOM OR BUILDING PLANS MSS2/L1.11 A plan is an overhead view of a room or building. Plans are drawn to scale. Example In this plan of an office the scale is 1cm to 0.5m. This means that each cm on the plan represents 0.5m in the actual office. Length If the length of the room is 12cm on the plan, then the actual length could be calculated: 12 x 0.5 = 6m The actual measurements of the table are 2 m by 1m. To calculate the measurements for the plan, you would calculate: = 4cm = 2cm Therefore on the plan the table would measure 4cm by 2cm. Page 9

10 QUESTIONS Mr Chang s Mirror 1. Mrs Chang wants to put a mirror on the wall above the fireplace. The mirror is in the shape of a rectangle. It is 800mm by 1,200mm. Mrs Chang wants the mirror to be an equal distance from the right hand side and the left hand side of the fireplace. She wants the bottom of the mirror to be between 200mm and 600mm above the top of the fireplace. On the plan below, show where Mrs Chang could put the mirror. Fireplace Key: 1 square on the grid is 200mm on the wall Page 10

11 Bookcase 2. Owain wants to put the bookcase in the lounge. He also wants to put a table in the lounge. Owain needs to decided where to put the bookcase and the table. He draws a plan of the lounge on a centimetre square grid. Sofa Door Key: 1cm on the grid = 50cm in the lounge. The table needs a square space 100cm wide. The table must be no more that 100cm away from the sofa. The bookcase is 150cm long and 50cm wide. The bookcase must be against a wall. Draw the table and the bookcase on the plan. Page 11

12 Vegetable Plot 3. Mabintou wants to have two vegetable plots in her garden. She draws a plan of her garden. Shed Fence House Hedge Fence Key: 1cm n the plan = 1m in the garden Each vegetable plot will be: In the shape of a rectangle 3m by 2m At least 1m from any fence or hedge At least 6m from the house Show the two vegetable plots on Mabintou s plan. Page 12

13 Answers Mr Chang s Mirror 1. To be able to accurately show where the mirror should go on the plan you will need to identify the measurements according to the scale. 1 square = 200mm The mirror is 800mm by 200mm Therefore you will need a space measuring 4 squares by 6 squares on the plan to represent the mirror. The mirror should be between 200mm and 600mm above the top of the fireplace. Therefore you will need to position the mirror between 1 and 3 squares above the top of the fireplace. You should also make sure you position the mirror equal distance from the left and right side of the fire place. Therefore you should have 2 blank squares on either side of your drawing of the mirror. Page 13

14 Bookcase 2. To be able to accurately show where the bookcase and the table should go on the plan you will need to identify the measurements according to the scale. 1cm on the grid = 50 cm in the lounge. The table needs a square space 100cm wide. On the plan this will be represented by an area of 2 squares by 2 squares. The table must be no more than 100cm away from the sofa. On the plan this will mean a maximum gap of 2 squares between the sofa and the table. The bookcase is 150cm by 50cm. The bookcase needs a space measuring 3 squares by 1 square. You must make sure that the bookcase is against a wall. Vegetable Plot 3. To be able to accurately show where the vegetable plots should go on the plan you will need to identify the measurements according to the scale. 1cm on the plan = 1m in the garden. Each vegetable plot needs to be 3m by 2m This means that each plot will need an area of 3 squares by 2 squares on the plan. The plots must be at least 1m away from any hedge or fence. This means you will need to position the plots at least 1 square away from the hedge and fence. The plots must be at least 6 m from the house. This means you must position the plots at least 6 squares away from the house. Page 14

15 Notes

16 Understanding Functional Skills AON WB10 2D/3D and Scale L1 V3