techiaith/bydtermcymru-tm-en-cy huggingface dataset:
English: I can model problems, using expressions and equations involving symbols or words to represent unknown values,
Welsh: Rwy'n gallu modelu problemau gan greu mynegiadau a hafaliadau sy'n defnyddio symbolau neu eiriau i gynrychioli gwerthoedd anhysbys, gan fabwysiadu dulliau algebra.
English: I can use inverse operations to find unknown values in simple equations.
Welsh: Rwy'n gallu defnyddio gweithrediadau gwrthdro er mwyn dod o hyd i werthoedd anhysbys mewn hafaliadau syml.
English: I can explore and use efficient methods of solving equations and
Welsh: Rwy'n gallu archwilio a defnyddio dulliau effeithlon o ddatrys problemau ac
English: I can use equations and inequalities in the first degree to represent and model real-life situations and solve problems, using a range of representations.
Welsh: Rwy'n gallu defnyddio hafaliadau ac anhafaleddau unradd i gynrychioli a modelu sefyllfaoedd go iawn a datrys problemau gan ddefnyddio amrywiaeth o gynrychioliadau.
English: I can explore and use
Welsh: Rwy'n gallu archwilio a defnyddio dulliau effeithlon o ddatrys hafaliadau cydamserol, cwadratig a thrigonometrig gan hefyd gymhwyso'r wybodaeth hon i ad-drefnu hafaliadau ble mae'r testun yn ymddangos mewn un term.
English: I can use equations and
Welsh: Rwy'n gallu defnyddio hafaliadau ac
English: I can investigate a variety of
Welsh: Rwy'n gallu archwilio amrywiaeth o graffiau
English: I can determine or approximate the rate of change at a point on a graph and I can investigate the area under a graph, understanding what these represent in real-life contexts.
Welsh: Rwy'n gallu darganfod neu amcangyfrif cyfradd newid ar bwynt mewn graff, ac rwy'n gallu archwilio'r arwynebedd o dan graff, gan ddeall beth maen nhw'n ei gynrychioli yng nghyd-destun bywyd go iawn.
English: Geometry focuses on relationships involving shape, space and position, and measurement focuses on quantifying phenomena in the physical world.
Welsh: Mae geometreg yn canolbwyntio ar berthnasoedd sy'n ymwneud â phriodweddau siâp, gofod a saﬂe, ac mae mesur yn canolbwyntio ar feintioli ffenomena yn y byd fﬁsegol.
English: I can understand and apply the language of time in relation to my daily life.
Welsh: Rwy'n gallu deall a chymhwyso iaith amser mewn perthynas â'm bywyd bob-dydd.
English: I have used a variety of objects to measure.
Welsh: Rwyf wedi defnyddio amrywiaeth o wrthrychau i fesur.
English: I am beginning to understand the need to repeat the same physical unit without any gaps when measuring.
Welsh: Wrth fesur, rwy'n dechrau deall yr angen i ailadrodd yr un uned ffisegol heb unrhyw fylchau.
English: I can make estimates and comparisons with measures,
Welsh: Rwy'n gallu amcangyfrif a chymharu gyda mesurau megis 'byrrach na', 'trymach na'.
English: I am beginning to tell the time using a variety of devices.
Welsh: Rwy'n dechrau dweud yr amser gan ddefnyddio amrywiaeth o ddyfeisiau.
English: I have explored and used different ways of showing the passing of time, including calendars, timelines, simple timetables and schedules.
Welsh: Rwyf wedi archwilio ac wedi defnyddio gwahanol ffyrdd o ddangos treigl amser, gan gynnwys calendrau, llinellau amser, amserlenni syml a rhestrau digwyddiadau.
English: I have explored measuring, using counting, measuring equipment and calculating, and I can choose the most appropriate method to measure.
Welsh: Rwyf wedi archwilio mesur, gan ddefnyddio cyfrif, offer mesur a chyfrifo, ac rwy'n gallu dewis y dull mwyaf addas i fesur.
English: I can estimate and measure, using
Welsh: Rwy'n gallu amcangyfrif a mesur gan ddefnyddio
English: I can use a variety of measuring devices from different starting points.
Welsh: Rwy'n gallu defnyddio amrywiaeth o ddyfeisiau mesur o fannau cychwyn gwahanol.
English: I can read analogue and digital clocks accurately and I can make interpretations and perform calculations involving time.
Welsh: Rwy'n gallu darllen clociau analog a digidol yn gywir ac rwy'n gallu gwneud cynrychioliadau a chyfrifo sy'n gysylltiedig ag amser.
English: I can estimate and measure length, capacity, mass, temperature and time, using appropriate standard units.
Welsh: Rwy'n gallu amcangyfrif a mesur hyd, cynhwysedd, màs, tymheredd ac amser, gan ddefnyddio unedau safonol priodol.
English: I can convert between standard units, including applying my understanding of place value to convert between metric units.
Welsh: Rwy'n gallu cyfnewid rhwng unedau safonol, gan gynnwys cymhwyso fy nealltwriaeth o werth lle i gyfnewid rhwng unedau metrig.
English: I can represent and use
Welsh: Rwy'n gallu cynrychioli a defnyddio
English: I have explored, compared, and used the general language of shapes through investigative play.
Welsh: Rwyf wedi archwilio, cymharu, a defnyddio iaith gyffredinol siapiau trwy chwarae ymchwiliol.
English: I have explored two-dimensional and three-dimensional shapes and their properties in a range of contexts.
Welsh: Rwyf wedi archwilio siapiau dau ddimensiwn a thri dimensiwn, ynghyd â'u priodweddau, mewn amrywiaeth o gyd-destunau.
English: I have explored reflective symmetry in a range of contexts and I can discuss it as a property of shapes and images.
Welsh: Rwyf wedi archwilio cymesuredd adlewyrchol mewn amrywiaeth o gyd-destunau ac rwy'n gallu'i drafod fel un o briodweddau siapiau dau ddimensiwn.
English: I can explore and consolidate my understanding of the properties of two-dimensional shapes to include the number of sides and symmetry.
Welsh: Rwy'n gallu archwilio a chadarnhau fy nealltwriaeth o briodweddau siapiau dau ddimensiwn gan gynnwys nifer yr ochrau a chymesuredd.
English: I can explore vertices, edges and faces of three-dimensional shapes and I can use these characteristics to describe a three-dimensional shape.
Welsh: Rwy'n gallu archwilio fertigau, ymylon a wynebau siapiau tri dimensiwn ac rwy'n gallu defnyddio'r nodweddion hyn i ddisgriﬁo siâp tri dimensiwn.
English: I can relate a three-dimensional shape to its two-dimensional nets.
Welsh: Rwy'n gallu perthnasu siâp tri dimensiwn i'w rwydau dau ddimensiwn.
English: I can use efficient methods for finding the perimeter and area
Welsh: Rwy'n gallu defnyddio dulliau effeithlon i ddarganfod perimedr ac arwynebedd siapiau dau ddimensiwn, gan ddeall sut mae hafaliadau sylfaenol yn deillio ohonynt.
English: I can use a variety of approaches to investigate, predict and demonstrate the effect of transformations on two-dimensional shapes.
Welsh: Rwy'n gallu defnyddio dulliau amrywiol i ymchwilio, rhagfynegi a dangos effaith trawsffurfiadau ar siapiau dau ddimensiwn.
English: I can explore and calculate the areas and perimeters of simple and compound two-dimensional shapes, including circles, and I have demonstrated an understanding of pi (π) as the ratio of the circumference of a circle to its diameter.
Welsh: Rwy'n gallu archwilio a chyfrifo arwynebedd a pherimedr siapiau dau ddimensiwn syml a chyfansawdd, gan gynnwys cylchoedd, ac rwyf wedi dangos dealltwriaeth o pi (π) fel cymhareb cylchedd cylch i'w ddiamedr.
English: I can apply my understanding of area to be able to calculate the surface area of simple prisms.
Welsh: Rwy'n gallu cymhwyso fy nealltwriaeth o arwynebedd i gyfrifo arwynebedd arwyneb prismau syml.
English: I can derive and apply the formulae for the volume of simple prisms.
Welsh: Rwy'n gallu deillio a chymhwyso'r hafaliadau ar gyfer cyfaint prismau syml.
English: I can apply my understanding of area to demonstrate and use the relationship between right-angled triangles and squares in the context of Pythagoras' theorem.
Welsh: Rwy'n gallu cymhwyso fy nealltwriaeth o arwynebedd i ddangos a defnyddio'r berthynas rhwng trionglau ongl sgwâr a sgwariau yng nghyd-destun theorem Pythagoras.
English: I can apply my understanding of the effect of transformations on the properties of shapes in order to explain why they are similar, congruent or neither.
Welsh: Rwy'n gallu cymhwyso fy nealltwriaeth o effaith trawsffurfiadau ar briodweddau siapiau er mwyn esbonio pam maen nhw'n gyflun, yn gyfath neu ddim un o'r ddau.
English: I can explore and demonstrate an understanding of the effect of scale when comparing measurements of similar shapes in all three dimensions.
Welsh: Rwy'n gallu archwilio a dangos dealltwriaeth o effaith graddfa wrth gymharu mesuriadau siapiau cyflun ym mhob un o'r tri dimensiwn.
English: I can use my knowledge of scale and ratio to calculate the lengths and areas of fractions of shapes, including arcs and segments of circles.
Welsh: Rwy'n gallu dangos fy nealltwriaeth o raddfa a chymhareb wrth gyfrifo hyd ac arwynebedd ffracsiynau siapiau, gan gynnwys arcau a segmentau cylchoedd.
English: I can use my knowledge of measurement to calculate the perimeter, area (or surface area) and volume of compound two-dimensional and three
Welsh: Rwy'n gallu defnyddio fy ngwybodaeth o fesur i gyfrifo perimedr, arwynebedd (neu arwynebedd arwyneb) a chyfaint siapiau dau ddimensiwn a thri dimensiwn cyfansawdd.
English: I can explore trigonometric ratios in right-angled triangles and I can use my knowledge of them to solve problems involving lengths, angles and area of any triangle.
Welsh: Rwy'n gallu archwilio cymarebau trigonometrig mewn trionglau ongl sgwâr ac rwy'n gallu defnyddio fy ngwybodaeth ohonyn nhw i ddatrys problemau sy'n cynnwys hydoedd, onglau ac arwynebedd unrhyw driongl.
English: I have explored movements and directions and I am beginning to use mathematical language to describe position.
Welsh: Rwyf wedi archwilio symudiadau a chyfeiriadau ac rwy'n dechrau defnyddio iaith fathemategol i ddisgriﬁo saﬂe.
English: I have developed an understanding of the ways in which co-ordinates are used to solve problems involving position, length and shape.
Welsh: Rwyf wedi datblygu dealltwriaeth o'r ffyrdd y defnyddir cyfesurynnau i ddatrys problemau sy'n ymwneud â safle, hyd a siâp.
English: I can locate and describe the locus of points defined by a range of different criteria.
Welsh: Rwy'n gallu lleoli a disgriﬁo locws pwyntiau a ddifﬁniwyd gan amrywiaeth o wahanol feini prawf.
English: I have explored the concept of rotation and I am beginning to use simple fractions of a complete rotation to describe turns.
Welsh: Rwyf wedi archwilio'r cysyniad o gylchdroi, ac rwy'n dechrau defnyddio ffracsiynau syml mewn perthynas â chylchdro cyﬂawn i ddisgriﬁo troeon.
English: I can demonstrate my understanding of angle as a measure of rotation and I can recognise, name and describe types of angles.
Welsh: Rwy'n gallu dangos fy nealltwriaeth o onglau fel ffordd o fesur cylchdro, ac rwy'n gallu adnabod, enwi a disgriﬁo mathau o onglau.
English: I can use angle and shape facts to deduce further features and relationships of triangles and quadrilaterals.
Welsh: Rwy'n gallu defnyddio ffeithiau am onglau a siapiau i ddiddwytho nodweddion a pherthnasoedd pellach yn ymwneud â thrionglau a phedrochrau.
English: I can explore and calculate angles formed by parallel lines and by a
Welsh: Rwy'n gallu archwilio a chyfrifo onglau a ffurfiwyd gan linellau paralel ac
English: I have applied my understanding of angles to model and solve problems involving bearings.
Welsh: Rwyf wedi cymhwyso fy nealltwriaeth o onglau i fodelu a datrys problemau yn ymwneud â chyfeiriannau.
English: I can use logical arguments and my knowledge of polygons, intersecting lines, angle and the circle theorems
Welsh: Rwy'n gallu defnyddio dadleuon rhesymegol, ynghyd â'r hyn rwy'n ei wybod am bolygonau, llinellau sy'n croesdorri, onglau a'r theoremau cylch, i ddiddwytho a chyfrifo maint onglau a hyd llinellau.
English: I can investigate, collect and record data found in my environment.
Welsh: Rwy'n gallu ymchwilio, casglu a chofnodi data sydd yn fy amgylchedd.
English: I can collect and organise data to ask and answer questions in relevant situations.
Welsh: Rwy'n gallu casglu a threfnu data er mwyn gofyn ac ateb cwestiynau mewn sefyllfaoedd perthnasol.
English: I can collect different types of data to answer a variety of questions that have been posed, demonstrating an understanding of the importance of collecting relevant data.
Welsh: Rwy'n gallu casglu gwahanol fathau o ddata er mwyn ateb amrywiaeth o gwestiynau a ofynnwyd, gan ddangos fy mod yn deall pwysigrwydd casglu data perthnasol.
English: I have explored the relationship between the type of data I have collected (including
Welsh: Rwyf wedi archwilio'r berthynas rhwng y math o ddata rwyf wedi eu casglu (gan gynnwys data
English: I can explore different sampling methods, including systematic and stratified sampling, understanding the need to select appropriate sampling methods when collecting data.
Welsh: Rwy'n gallu archwilio gwahanol ddulliau samplu, yn cynnwys samplu systematig a haenedig, gan ddeall yr angen i ddewis dull casglu sampl priodol wrth gasglu data.
English: I can group sets into categories and I am beginning to communicate the rule (s) I have used.
Welsh: Rwy'n gallu grwpio setiau mewn i gategorïau ac rwy'n dechrau cyfleu'r rheol neu'r rheolau rwyf wedi'u defnyddio.
English: I can sort and classify using more than one criterion, including the use of Venn diagrams and Carroll diagrams.
Welsh: Rwy'n gallu didoli a dosbarthu gan ddefnyddio mwy nag un maen prawf, gan ddefnyddio diagramau Venn a diagramau Carroll.
English: I am beginning to record and represent data in a variety of ways, including the use of tally charts, frequency tables and block graphs, when appropriate axes and scales are provided.
Welsh: Rwy'n dechrau cofnodi a chyflwyno data mewn amrywiol ffyrdd, gan gynnwys defnyddio siartiau rhifo, tablau amlder, a grafﬁau bloc lle y darperir echelinau a graddfeydd priodol.
English: I can represent information by creating a variety of appropriate charts of increasing complexity, including tally charts, frequency tables, bar graphs and line graphs.
Welsh: Rwy'n gallu cynrychioli gwybodaeth drwy greu amrywiaeth o siartiau priodol sy'n cymhlethu'n gynyddol, gan gynnwys siartiau cyfrif, tablau amlder, grafﬁau bar a grafﬁau llinell.
English: I can make informed choices about how to organise and represent data, using a wide range of graphs and charts, including pie charts, frequency diagrams and frequency polygons.
Welsh: Rwy'n gallu gwneud dewisiadau gwybodus am sut i drefnu a chynrychioli data, gan ddefnyddio amrywiaeth eang o graffiau a siartiau, gan gynnwys siart cylch, diagram amlder a pholygon amlder.
English: I can extend my methods for representing data, including cumulative frequency, box and whisker, and histograms, to interpret
Welsh: Rwy'n gallu ymestyn fy nulliau cynrychioli data, gan gynnwys dulliau amlder cronnus, blwch a blewyn, a histogramau, er mwyn dehongli
English: I am beginning to represent and interpret data, using a range of methods.
Welsh: Rwy'n dechrau cyflwyno a dehongli data, gan ddefnyddio amrywiaeth o ddulliau.
English: I am beginning to interpret and analyse simple graphs, charts and data.
Welsh: Rwy'n dechrau dehongli a dadansoddi grafﬁau, siartiau a data syml.
English: I can explain my findings and I am beginning to evaluate how well my method worked.
Welsh: Rwy'n gallu esbonio fy nghanfyddiadau, a dechrau gwerthuso llwyddiant fy null gweithredu.
English: I can use different scales to extract and interpret information from a range of diagrams, tables and graphs, including pie charts with simple fractions and proportions.
Welsh: Rwy'n gallu defnyddio gwahanol raddfeydd i echdynnu a dehongli gwybodaeth allan o amrywiaeth o ddiagramau, tablau a grafﬁau, gan gynnwys siartiau cylch gyda ffracsiynau a chyfraneddau syml.
English: I can recognise any trends that are seen.
Welsh: Rwy'n gallu adnabod unrhyw dueddiadau a welir.
English: I can find and use the mean of a simple set of data to explain how the statistics do, or do not, support an argument.
Welsh: Rwy'n gallu dod o hyd i gymedr set syml o ddata a'i ddefnyddio i esbonio sut mae'r ystadegau yn cefnogi neu yn gwrthddweud dadl.
English: I can recognise how anomalies affect the mean.
Welsh: Rwy'n gallu adnabod sut mae anomaleddau yn effeithio ar y cymedr.
English: I can understand that different averages can be used to compare data, including grouped data, recognising the advantages and disadvantages of each average.
Welsh: Rwy'n gallu deall y gellir defnyddio gwahanol gyfartaleddau i gymharu data, gan gynnwys data wedi'u grwpio, gan adnabod manteision ac anfanteision pob cyfartaledd.
English: I can explore trends and anomalies in data sets, investigating correlation between two
Welsh: Rwy'n gallu archwilio tueddiadau ac anomaleddau mewn setiau data, gan ymchwilio i'r cydberthyniad rhwng dau
English: I can use data to draw conclusions about hypotheses and I have communicated my findings clearly.
Welsh: Rwy'n gallu defnyddio data er mwyn dod i gasgliadau am ragdybiaethau, ac rwyf wedi mynegi fy nghanfyddiadau yn glir.
English: I can critique my own methods and findings.
Welsh: Rwy'n gallu trafod fy nulliau a'm canfyddiadau yn feirniadol.
English: I can critically analyse statistics, considering how data is represented, its reliability, and whether and how the data has been manipulated to tell a particular story.
Welsh: Rwy'n gallu dadansoddi ystadegau'n feirniadol, gan ystyried sut y caiff data eu cyﬂwyno, eu dibynadwyedd, a'r modd, os o gwbl, y mae'r data wedi cael eu trin i adrodd stori benodol.
English: I can make informed decisions based on statistical evidence, identifying bias and anomalies.
Welsh: Rwy'n gallu gwneud penderfyniadau gwybodus yn seiliedig ar dystiolaeth ystadegol, gan adnabod bias ac anomaleddau.
English: I can explore outcomes and chance, using appropriate language, and I am beginning to use numerical values to represent probability.
Welsh: Rwy'n gallu archwilio canlyniad a siawns, gan ddefnyddio iaith briodol, ac rwy'n dechrau defnyddio gwerth rhifol i gynrychioli tebygolrwydd.
English: I can systematically explore all the possible
Welsh: Yn systematig, rwy'n gallu archwilio'r holl ganlyniadau
English: I can use modelling to solve problems involving probabilities of
Welsh: Rwy'n gallu defnyddio modelu i ddatrys problemau sy'n ymwneud â thebygolrwydd digwyddiadau,
English: I have explored the relationship between relative frequency and theoretical probability, and I can make judgements on the outcomes of experimental data.
Welsh: Rwyf wedi archwilio'r berthynas rhwng amlder cymharol a thebygolrwydd damcaniaethol, ac rwy'n gallu llunio barn ar ganlyniadau data arbrofol.
English: I can use probabilistic arguments, drawing on theory, information, research and experimentation, to make informed decisions.
Welsh: Rwy'n gallu defnyddio dadleuon tebygoliaethol sy'n seiliedig ar ddamcaniaethau, gwybodaeth, gwaith ymchwil ac arbroﬁon er mwyn gwneud penderfyniadau gwybodus.
English: This provides specific guidance to be used when incorporating learning in mathematics and numeracy in your curriculum.
Welsh: Mae hyn yn rhoi arweiniad penodol i'w ddefnyddio wrth ymgorffori dysgu o fewn mathemateg a rhifedd yn eich cwricwlwm.
English: Below are some key principles which settings and schools should consider when designing learning and teaching in the Mathematics and Numeracy Area of Learning and Experience (Area).
Welsh: Mae'r canlynol yn rhai egwyddorion allweddol y dylai lleoliadau ac ysgolion eu hystyried wrth gynllunio dysgu ac addysgu ym Maes Dysgu a Phrofiad Mathemateg a Rhifedd (Maes).
English: Practitioners should
Welsh: Dylai ymarferwyr ddatblygu profiadau diddorol a hygyrch i ddysgwyr dderbyn cyfleoedd rheolaidd i ddisgrifio, esbonio a chyfiawnhau eu dealltwriaeth o amrywiol gysyniadau mathemategol, gan ddefnyddio geirfa fathemategol briodol.
English: Literacy skills can also be developed in order to describe mathematical processes, such as reasoning, understanding a range of calculation strategies, describing visualisation of shapes, studying and interpreting information in statistics and comparing alternative methods before arriving at a solution to a mathematical problem.
Welsh: Gellir datblygu sgiliau llythrennedd hefyd er mwyn disgrifio prosesau mathemategol, megis rhesymu, deall amrywiaeth o strategaethau cyfrifo, disgrifio delweddu siapiau, astudio a dehongli gwybodaeth mewn ystadegau a chymharu dulliau amgen cyn cyrraedd datrysiad i broblem fathemategol.
English: These literacy skills can be used as they encounter practical, real-life problems.
Welsh: Gellir defnyddio'r sgiliau llythrennedd hyn wrth i ddysgwyr ddod ar draws problemau yn y byd go iawn.
English: This Area, by definition, has numeracy at its heart.
Welsh: Fel mae'r enw'n ei nodi, mae rhifedd wrth galon y Maes hwn.
English: The five mathematical proficiencies
Welsh: Gellir cymhwyso a chysylltu'r pum hyfedredd mathemategol
English: For example, percentages can be applied to annual percentage rates (APRs) to demonstrate their use in financial literacy.
Welsh: Er enghraifft, gellir cymhwyso'r defnydd o ganrannau i gyfraddau canrannol blynyddol (APR) er mwyn arddangos eu defnydd o safbwynt llythrennedd ariannol.
English: Digital approaches enhance learners' mathematical and numeracy skills across a range of situations that will naturally occur within the area of learning and experience.
Welsh: Mae dulliau digidol yn gwella sgiliau mathemategol a rhifedd dysgwyr ar draws amrywiaeth o sefyllfaoedd a fydd yn digwydd yn naturiol o fewn y maes dysgu a phrofiad.
English: This is more than simply the interaction with technology.
Welsh: Mae hyn yn fwy na dim ond rhyngweithio â thechnoleg.
English: For instance, the development of learners' digital skills could be done by collaborating to solve a problem and developing
Welsh: Er enghraifft, gellir datblygu sgiliau digidol y dysgwyr trwy gydweithredu i ddatrys problem a datblygu
English: Another instance would be creating a graph by using a spreadsheet to enhance digital understanding and also strengthen learners' mathematical and numeracy skills.
Welsh: Enghraifft arall fyddai creu graff gan ddefnyddio taenlen er mwyn gwella dealltwriaeth ddigidol yn ogystal â chryfhau sgiliau mathemategol a rhifedd y dysgwyr.
English: As learners develop and progress, they will increasingly use more complex digital skills, processes, techniques and systems to create solutions to address specific problems, opportunities or needs.
Welsh: Wrth iddyn nhw ddatblygu a dangos cynnydd, byddan nhw'n defnyddio sgiliau, prosesau, technegau a systemau digidol mwy cymhleth yn amlach, a hyn er mwyn creu datrysiadau i ymateb i broblemau, cyfleoedd neu anghenion penodol.
English: Aspects of collection, representation and analysis, for example, will become more sophisticated as learners progress.
Welsh: Wrth i ddysgwyr ddangos cynnydd bydd agweddau ar gasglu, cynrychioli a dadansoddi, er enghraifft, yn dod yn fwyfwy soffistigedig.
English: Mathematical working requires and develops creativity and curiosity which also transfer to other aspects of life.
Welsh: Mae gweithio mathemategol yn datblygu ac yn gofyn am greadigrwydd a chywreinrwydd sydd hefyd yn trosglwyddo i agweddau eraill o fywyd.
English: Frequently in mathematical problem-solving the learner does not immediately know how to approach the problem; it takes creativity and courage to explore different approaches before deciding how to proceed.
Welsh: Yn aml wrth ddatrys problemau mathemategol nid yw'r dysgwr yn gwybod yn syth sut i fynd i'r afael â'r broblem; mae'n gofyn am greadigrwydd a dewrder i archwilio gwahanol ddulliau cyn penderfynu ar y ffordd ymlaen.
English: Planning and modelling tasks within mathematics develops learners' ability to turn ideas into action.
Welsh: Mae cynllunio a modelu tasgau o fewn mathemateg yn datblygu gallu dysgwyr i droi syniadau yn weithredoedd.
English: The development of logical and critical thinking underpins learning in mathematics.
Welsh: Mae datblygu meddwl rhesymegol a beirniadol yn sail i ddysgu ym mathemateg.
English: Mathematics teaches us problem-solving skills which transfer to all areas of the curriculum, to life in general and to the world of work.
Welsh: Mae mathemateg yn dysgu sgiliau datrys problemau i ni, sgiliau sy'n trosglwyddo i bob maes yn y cwricwlwm, i fywyd yn gyffredinol ac i fyd gwaith.
English: Mathematics involves solving problems and begins by analysing the requirements, before then asking questions and evaluating information.
Welsh: Mae mathemateg yn ymwneud â datrys problemau ac mae'n dechrau gyda dadansoddi'r anghenion cyn troi wedyn i ofyn cwestiynau a gwerthuso gwybodaeth.