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ican certificate 1 education and skills development ­ consolidate number skills -1-

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consolidate number skills competency title tafe sa code nominal hours unit descriptor the focus of this unit is to consolidate the learner s skills in interpreting using and calculating money numerical information and creating and interpreting simple tables and graphs necessary for use within a community education or vocational context consolidate number skills caafa 30 application of unit this unit applies to learners wanting to develop numeracy skills for self employment education and/or community participation it will consolidate numeracy skills already gained when delivered with consolidate spatial skills caaez ensure the learner has the necessary skills to achieve level 2 of the acsf indicators of competence for numeracy see australian core skills framework levels of performance for more detail http deewr.gov.au/skills/programs/litandnum/acsf/pages/default.aspx the young person s readiness to start this unit of work can be assessed through the numeracy assessment in their flexible learning transition plan to enhance the outcomes for learners it is recommended that this unit be taught concurrently with other units at this level and that assessments include both integrated and standalone tasks to achieve competence in this unit the young person must be able to interpret use and calculate costs interpret use and calculate numerical information in familiar texts and interpret and create simple tables and graphs they need to demonstrate skills in estimation understanding place value accurate addition subtraction multiplication and division calculations money use fractions and percentages using and interpreting graphs and tables ican certificate 1 education and skills development ­ consolidate number skills -2-

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critical aspects for assessment and evidence required to demonstrate competency in this unit this unit contains a range of opportunities to assist the young person to meet the performance criteria see checklist competence is demonstrated through holistic and simulated/real life tasks rather than a specific individual assessment for each concept authentic opportunities may include understanding use of numbers and graphs in newspapers magazines personal documents advertising information leaflets timetables context of and specific resources for assessment a range of assessment strategies are required to demonstrate competency if this unit including direct observation group discussions worksheets comprehension questions presentations questioning self assessment consistency of performance this unit of competency must be assessed over a period of time in order to ensure consistency of performance over the range statements and contexts ican certificate 1 education and skills development ­ consolidate number skills -3-

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consolidate number skills certificate 1 education and skills development compulsory unit name tafe id number performance criteria date assessed wpa initial interpret use and calculate costs in familiar situations 1.1 establish an estimate of a result before making an accurate calculation involving money 1.2 use place value concepts for whole number and decimals to interpret and compare numbers involving money 1.3 perform simple add and subtract calculations with money including converting between common fraction decimal and percentage forms using common denominators only 1.4 interpret familiar texts containing graphical representation and language associated with money interpret use and calculate numerical information in familiar texts 2.1 identify numerical information in text and determine an appropriate calculation to solve a problem 2.2 use place value concepts for whole numbers and decimals to interpret and compare numbers 2.3 make an initial estimate of the result then carry out an accurate numerical calculation 2.4 convert simple familiar fractions decimals and percentages to equivalent values in a form appropriate to the situation 2.5 check the reasonableness of results against initial estimate context of problem and personal knowledge/experience interpret and create simple tables and graphs 3.1 collect and sort data and record into tables 3.2 represent data in graphical form using appropriate scales and axes 3.3 interpret the meaning of data and associated language found in familiar texts tables and graphs 3.4 use a range of descriptive language related to graphs and tables result achieved not yet achieved date completed assessor name student signature signature ican certificate 1 education and skills development ­ consolidate number skills -4-

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consolidate number skills this unit of work is in 2 sections the first section is about skills building where you can find a whole range of learning activities and information this is a great place to either learn some new things or review some maths concepts that you might have forgotten your facilitator will help you choose the tasks to focus on and work through this section as depending on your knowledge you may spend either a lot of time in this section or not much time at all topic covered include estimation place value addition subtraction multiplication division fractions decimals and percentages money interpreting data graphs and tables the second section is the project work this is where you get to put your skills and knowledge into action there are a whole range of different mini projects to choose from you will need to keep all your work and clearly show every stage of the mini projects so that your facilitator can see the skills you have used if you can t find some mini-projects that interest you have a chat with your facilitator and design your own it s ok if you want to do this work with a partner ­ just make sure you both keep the evidence of your work all maths definitions taken from http www.mathsisfun.com/definitions/letter-a.html ican certificate 1 education and skills development ­ consolidate number skills -5-

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estimation estimation is finding a value that is close enough to the right answer usually with some thought or calculation involved eg sam s estimation of 400 bricks to build the wall was very good as there were only 12 bricks left over the following links have information and activities about estimation fact sheets and information maths is fun http www.mathsisfun.com/numbers/estimation.html bbc skillwise http www.bbc.co.uk/skillswise/topic/place-value/resources/e3 estimating numbers using rounding understanding why numbers are rounded rounding numbers to the nearest 10 and 100 rounding and estimating number revision rounding numbers to the nearest 10 rounding numbers to the nearest 100 what is rounding knowing when to round numbers worksheets bbc skillwise http www.bbc.co.uk/skillswise/topic/place-value/resources/e3 rounding measurements rounding to the nearest 10 rounding to the nearest 100 interactive games estimation game http www.mathsisfun.com/numbers/estimation-game.php estimation valley golf http www.mrnussbaum.com/golf/index.html maximum capacity http www.mrnussbaum.com/maximumcapacity.htm rounding master http www.mrnussbaum.com/roundingmaster.htm ice ice maybe ican certificate 1 education and skills development ­ consolidate number skills -6-

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http www.mangahigh.com/en_au/games maths quiz http www.softschools.com/quizzes/math/estimation_word_problems/quiz2066.html media clips estimating in maths place value place value is the value of where the digit is in the number such as units tens hundreds etc eg in 258 the place value of the 5 is tens in 17.591 the place value of the 9 is hundredths fact sheets and information skillwise http www.bbc.co.uk/skillswise/topic/place-value/resources/e3 place value zero as a placeholder worksheets skillwise http www.bbc.co.uk/skillswise/topic/place-value/resources/e3 biggest number wins comparing whole numbers counting on and back in hundreds odd and even numbers reading and writing numbers from facts reading and writing numbers in order place value 1 reading and writing numbers ­ place value charts interactive games ican certificate 1 education and skills development ­ consolidate number skills -7-

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place value pirates http www.mrnussbaum.com/noads/placevaluepirates.htm decimals of the caribbean http www.mrnussbaum.com/noads/docrb.htm computation castle http www.mrnussbaum.com/noads/compcastle.htm wishball tournament http www.scootle.edu.au/ec/search?q=wishball&field=title&field=keyword.text&field=description&field id&field=topics.all.text challenge your understanding of place value in whole numbers and decimal fractions from 0.001 to 9999 either add or subtract numbers to reach a target number for example receive a starting number of 39.61 spin the number 5 and decide whether to add or subtract 0.05 0.5 5 or 50 to reach your target number of 70.12 within 20 turns use the `wishball to select your final digit try to reach the target in as few turns as possible play a random game replay a previous game or play a game with the same target number as someone else this learning object is a series of 15 objects media clips place value 1 place value 2 ican certificate 1 education and skills development ­ consolidate number skills -8-

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addition and subtraction addition is finding the total or sum by combining two or more numbers eg 5 11 3 19 subtraction is taking one number away from another eg 658 ­ 471 187 fact sheets and information bbc skillwise http www.bbc.co.uk/skillswise/topic/addition/resources/e3 addition shared ­ 5 ways to add and subtract in your head addition hundreds tens and ones key words for mental addition reminders to help you add splitting up numbers subtraction counting on using an empty number line help with subtraction ­ reminders subtraction methods subtraction by splitting up numbers mental subtraction key words worksheets bbc skillwise http www.bbc.co.uk/skillswise/topic/addition/resources/e3 addition doubling addition by splitting up numbers addition activities empty number lines hundreds tens ones subtraction using empty number lines ican certificate 1 education and skills development ­ consolidate number skills -9-

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identifying subtraction methods identifying the correct subtraction splitting up numbers interactive games fridge magnet addition game http www.bbc.co.uk/skillswise/game/ma08addi-game-fridge-magnet-addition bargain hunt adding game http www.bbc.co.uk/skillswise/game/ma08addi-game-bargain-hunt-adding conveyor belt addition game http www.bbc.co.uk/skillswise/game/ma08addi-game-conveyor-belt-addition addition by splitting game http www.bbc.co.uk/skillswise/game/ma08addi-game-addition-by-splitting fridge magnet subtraction game http www.bbc.co.uk/skillswise/game/ma09subt-game-fridge-magnet-subtraction subtraction by splitting game http www.bbc.co.uk/skillswise/game/ma09subt-game-subtraction-by-splitting bidmas blaster http www.mangahigh.com/en_au/games/bidmasblasterlite dice duels airport addition http www.scootle.edu.au/ec/viewing/l2323/index.html move planes along numbered lanes on an airport runway add the numbers on a pair of dice to determine which plane takes off try to predict which lane is most likely to clear quickly explore how many rolls are needed to match a chosen number five times look at an explanation of uneven distributions compare the theoretical data distribution with experimental results this learning object is one in a series of 11 objects dice duels airport subtraction http www.scootle.edu.au/ec/viewing/l2640/index.html move planes along numbered lanes on an airport runway subtract the smaller number from the larger number on a pair of dice to determine which plane takes off try to predict which lane is most likely to clear quickly explore how many rolls are needed to match a chosen number five times look at an explanation of uneven distributions compare the theoretical data distribution with experimental results this learning object is one in a series of 11 objects media clips check out the following clips which demonstrate addition and subtraction addition and subtraction problems addition subtraction two digit subtraction ican certificate 1 education and skills development ­ consolidate number skills 10 -

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multiplication and division the basic idea of multiplication is repeated addition for example 5 × 3 5 5 5 15 but as well as multiplying by whole numbers you can also multiply by fractions or decimals for example 5 × 3½ 5 5 5 half of 5 17.5 division is splitting into equal parts or groups it is the result of fair sharing example there are 12 chocolates and 3 friends want to share them how do they divide the chocolates answer they should get 4 each we use the ÷ symbol or sometimes the symbol to mean divide 12 3 4 12 ÷ 3 4 fact sheets and information bbc skillwise multiplication http www.bbc.co.uk/skillswise/topic/multiplication/resources/e3 introduction to multiplication multiplication splitting method multiplication tips multiplication revision bbc skillwise division http www.bbc.co.uk/skillswise/topic/division/resources/e3 division problems division repeated subtraction division revision introduction to revision division tips worksheets bbc skillwise multiplication http www.bbc.co.uk/skillswise/topic/multiplication/resources/e3 multiplication matching activity multiplication triangles ican certificate 1 education and skills development ­ consolidate number skills 11 -

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bbc skillwise division http www.bbc.co.uk/skillswise/topic/division/resources/e3 division matching activity interpreting division problems division problems sorting activity interactive games fridge magnet multiplication game http www.bbc.co.uk/skillswise/game/ma10mult-game-fridge-magnet-multiplication fridge magnet division game http www.bbc.co.uk/skillswise/game/ma11divi-game-fridge-magnet-division media clips multiplication simple division ican certificate 1 education and skills development ­ consolidate number skills 12 -

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fractions decimals and percentages fractions are part of a whole a number written with the bottom part the denominator tells you how many parts the whole is divided into and the top part the numerator tells how many you have decimals are based on 10 example the numbers we use in everyday life are decimal numbers because there are 10 of them 0,1,2,3,4,5,6,7,8 and 9 often decimal number is also used to mean a number that uses a decimal point followed by digits as a way of showing values less than one example 1.9 is a decimal number one and nine tenths percentage is parts per 100 the symbol is example 25 means 25 per 100 25 of this box is green fact sheets and information fraction action http www.visualfractions.com introduction to fractions powerpoint presentation ican certificate 1 education and skills development ­ consolidate number skills 13 -

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3 8 introduction to fractions by graeme henchel http hench-maths.wikispaces.com fraction percentage decimal powerpoint presentation fraction percentage decimal bbc skillwise ­ fractions http www.bbc.co.uk/skillswise/topic/fractions/resources/e3 different types of fraction estimating fractions recognising fractions from shapes what is a fraction what do the numbers in fractions mean bbc skillwise ­ percentages http www.bbc.co.uk/skillswise/topic/percentages/resources/e3 percentages percentage problems bbc skillwise ­ decimals http www.bbc.co.uk/skillswise/topic/decimals/resources/e3 revising decimals decimals and calculators the decimal point and reading decimals what are decimals reading decimals worksheets bbc skillwise ­ fractions http www.bbc.co.uk/skillswise/topic/fractions/resources/e3 finding fractions of time reading and writing fractions ican certificate 1 education and skills development ­ consolidate number skills 14 -

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working out fractions problems working out fractions bbc skillwise ­ percentages http www.bbc.co.uk/skillswise/topic/percentages/resources/e3 finding percentages of amounts shading percentages matching up fractions and percentages bbc skillwise ­ decimals http www.bbc.co.uk/skillswise/topic/decimals/resources/e3 metres and centimetres 1 metres and centimetres 2 place value 1 place value 2 using a calculator zero as a place holder interactive games ice ice maybe http www.mangahigh.com/en_au/games any fractions method game http www.bbc.co.uk/skillswise/game/ma17frac-game-any-fractions-method fractions dolphin racing game http www.bbc.co.uk/skillswise/game/ma17frac-game-dolphin-racing-fractions fractions of something game http www.bbc.co.uk/skillswise/game/ma17frac-game-fractions-of-something fraction fiddle ­ reach the target http www.scootle.edu.au/ec/viewing/l2806/index.html help a boy to hit a bullseye with his paper plane build two fractions that add up to a target number up to two complete the numerators of both fractions one may have a fixed denominator for example work out how many thirds and how many sixths can be added together to total 4/3 look at fraction bars and a number line to compare the two fractions and their total this learning object is one in a series of seven objects fraction fiddle tool http www.scootle.edu.au/ec/viewing/l2800/index.html use a tool to explore what happens when you change the numerals in a fraction compare two fractions and find out which is larger for example decide whether 4/3 is larger than 7/5 build the ican certificate 1 education and skills development ­ consolidate number skills 15 -

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