techiaith/bydtermcymru-tm-en-cy huggingface dataset:
English: I can check my answers using substitution.
Welsh: Gallaf wirio fy atebion drwy ddefnyddio dulliau amnewid.
English: I have used equations and inequalities in the ﬁrst degree to represent and model real-life
Welsh: Rwyf wedi defnyddio hafaliadau ac anhafaleddau unradd i gynrychioli a modelu sefyllfaoedd go iawn ac i ddatrys problemau.
English: I can interpret my answers and check that they make sense in context.
Welsh: Gallaf ddehongli fy atebion a gwirio eu bod yn gwneud synnwyr yn eu cyd-destun.
English: I can recognise linear sequences and can generalise them using algebra.
Welsh: Gallaf adnabod dilyniannau llinol a gallaf eu cyffredinoli gan ddefnyddio algebra.
English: I can describe and use the term-to-term rule for simple iterative sequences.
Welsh: Gallaf ddisgriﬁo a defnyddio'r rheol term i derm ar
English: I can apply my knowledge of sequences to solve real-life and mathematical problems.
Welsh: Gallaf gymhwyso'r hyn rwy'n ei wybod am ddilyniannau i ddatrys problemau go iawn a phroblemau mathemategol.
English: I can recognise, draw, sketch and interpret linear graphs, and investigate graphs, using written and digital methods.
Welsh: Gallaf adnabod, lluniadu, braslunio a dehongli grafﬁau llinol, ac ymchwilio i grafﬁau, gan
English: I can demonstrate an understanding of each of the terms in the
Welsh: Gallaf ddangos dealltwriaeth o bob un o'r termau yn yr hafaliad ar gyfer llinell syth.
English: I can explore the effect on the line when the constant or coefﬁcient
Welsh: Gallaf archwilio effaith newid y cysonyn neu'r cyfernod ar y llinell.
English: I can ﬂuently manipulate algebraic expressions by expanding double brackets, factorising
Welsh: Gallaf drin mynegiadau algebraidd yn rhwydd drwy ehangu cromfachau dwbl, ffactorio mynegiadau cwadratig a newid testun fformiwla pan fydd y testun yn ymddangos mewn mwy nag un term.
English: I can simplify and manipulate algebraic fractions.
Welsh: Gallaf symleiddio a thrin ffracsiynau algebraidd.
English: I can solve a range of linear and higher-order equations, and inequalities, including simultaneous, quadratic and trigonometric equations, using numerical, graphical and algebraic methods where appropriate.
Welsh: Gallaf ddatrys amrywiaeth o hafaliadau llinol, hafaliadau trefn uwch ac anhafaleddau, yn cynnwys hafaliadau cydamserol, cwadratig a thrigonometrig, gan ddefnyddio dulliau
English: I can then interpret the meaning of the answer, or answers, checking for reasonableness.
Welsh: Gallaf wedyn ddehongli ystyr yr ateb,
English: I have used equations and inequalities, and relevant graphs, to model and solve problems in real-life and mathematical contexts, including those which describe proportion and exponentiation, and I can use my knowledge of the real world and number sense to predict and check my interpretations of these.
Welsh: Rwyf wedi defnyddio hafaliadau ac anhafaleddau, a grafﬁau perthnasol, i fodelu a datrys
English: I can recognise and generalise simple non-linear sequences using algebra.
Welsh: Gallaf adnabod a chyffredinoli dilyniannau aﬂinol syml gan ddefnyddio algebra.
English: I can understand the concept of an identity and can translate statements describing mathematical relationships into algebraic models, using expressions and equations.
Welsh: Gallaf ddeall y cysyniad o unfathiant a gallaf drosi datganiadau sy'n disgriﬁo perthnasau mathemategol yn fodelau algebraidd, gan ddefnyddio mynegiadau a hafaliadau.
English: I have investigated a variety of non-linear graphs (including quadratic, cubic and reciprocals), using written and digital methods.
Welsh: Rwyf wedi ymchwilio i amrywiaeth o grafﬁau aﬂinol (gan gynnwys cwadratig, ciwbig a
English: I can demonstrate an understanding of the effect of the
Welsh: Gallaf ddangos dealltwriaeth o effaith y cyfernodau, yr indecsau a'r cysonion ar siâp y graff.
English: I can determine the gradient at
Welsh: Gallaf ddarganfod graddiant ar bwynt
English: I can use graphs to solve problems.
Welsh: Gallaf ddefnyddio grafﬁau
English: The number system is used to represent and compare relationships between numbers and quantities.
Welsh: Defnyddir y system rhifau i gynrychioli a chymharu'r perthnasau rhwng rhifau a meintiau.
English: Geometry focuses on relationships involving properties of shape, space, and position, and measurement focuses on quantifying phenomena in the physical world.
Welsh: Mae geometreg yn canolbwyntio ar berthnasau sy'n ymwneud â phriodweddau siâp, gofod a saﬂe, ac mae mesur yn canolbwyntio ar feintioli ffenomena yn y byd fﬁsegol.
English: • Algebra and geometry are connected principally through the expression of shape, measure and movement through algebraic expressions, equations and formulae.
Welsh: • Mae algebra a geometreg yn gysylltiedig â'i gilydd yn bennaf drwy fynegi siapiau, mesur a symudiad drwy fynegiadau, hafaliadau a fformiwlâu algebraidd.
English: • An equation is an algebraic concept, which, when graphed, becomes a geometric concept.
Welsh: • Cysyniad algebraidd yw hafaliad, sydd o'i droi'n graff, yn dod yn gysyniad geometrig.
English: The variables within the equation refer to geometric concepts.
Welsh: Mae'r newidynnau yn yr hafaliad yn cyfeirio at gysyniadau geometrig.
English: • Algebraic formulae and equations are used to connect the geometric concepts of triangles with measures of angles and sides.
Welsh: • Defnyddir fformiwlâu a hafaliadau algebraidd i gysylltu cysyniadau geometrig trionglau â mesuriadau onglau ac ochrau.
English: • Algebra is used within probability and statistics to express generalities and develop formulae.
Welsh: • Defnyddir algebra ym maes tebygolrwydd ac ystadegau i fynegi cyffredinolrwydd a datblygu fformiwlâu.
English: • In statistics, general formulae are written using algebra.
Welsh: • Mewn ystadegau, caiff fformiwlâu cyffredinol eu hysgrifennu drwy ddefnyddio algebra.
English: • Algebra and statistical analysis are interlinked;
Welsh: • Mae algebra a dadansoddiad ystadegol yn gydgysylltiedig;
English: use of algorithms and formulae to calculate further statistical measures to analyse data.
Welsh: defnyddio algorithmau a fformiwlâu i gyfrifo mesurau ystadegol pellach i ddadansoddi data.
English: • Sequences and patterns.
Welsh: • Dilyniannau a phatrymau.
English: • Concept of the variable.
Welsh: • Cysyniad y newidyn.
English: • Equations and formulae.
Welsh: • Hafaliadau a fformiwlâu.
English: • explore, copy, repeat, continue and generate a range of simple patterns and sequences using a multisensory approach
Welsh: • archwilio, copïo, ailadrodd a llunio amrywiaeth o batrymau a dilyniannau syml a pharhau â nhw gan ddefnyddio dull amlsynhwyraidd
English: • start to predict what will come next, through shared stories, pictures and rhymes that have a pattern element
Welsh: • dechrau rhagfynegi beth fydd yn dod nesaf, drwy rannu straeon, lluniau a rhigymau ag elfen o batrwm ynddynt
English: • understand that Robert Recorde's equals sign is placed between two or more expressions that have the same value
Welsh: • deall bod arwydd hafal Robert Recorde yn cael ei osod rhwng dau neu fwy o fynegiadau sydd â'r un gwerth â'i gilydd
English: • recognise commutativity of addition and multiplication, using objects, diagrams and numbers
Welsh: • adnabod cymuded adio a lluosi, gan ddefnyddio gwrthrychau, diagramau a rhifau
English: • reason logically, using equality and the laws of arithmetic.
Welsh: • rhesymu mewn ffordd resymegol gan ddefnyddio hafaledd a deddfau rhifyddeg.
English: • model simple problem situations, using words and symbols to create equations from which they can ﬁnd an unknown value
Welsh: • modelu sefyllfaoedd sy'n cynnwys problemau syml gan ddefnyddio geiriau a symbolau er mwyn creu hafaliadau y gallant eu defnyddio i ddod o hyd i werth anhysbys
English: • understand that a function can transform a set of numbers to a new set of numbers, according to a rule
Welsh: • deall y gall ffwythiant drawsnewid set o rifau i set newydd o rifau yn unol â rheol
English: • move between concrete, visual and abstract representations throughout their mathematical work.
Welsh: • symud rhwng cynrychioliadau diriaethol, gweledol a haniaethol drwy gydol eu gwaith mathemategol.
English: • express the laws of arithmetic using algebraic notation, developing their conceptual understanding of a variable
Welsh: • mynegi deddfau rhifyddeg, gan ddefnyddio nodiant algebraidd a chan feithrin eu dealltwriaeth gysyniadol o newidyn
English: • explore, generate, identify and represent linear patterns in a variety of contexts
Welsh: • archwilio, llunio, adnabod a chynrychioli patrymau llinol mewn amrywiaeth o gyd-destunau
English: • model real-life situations, using equations and inequalities to solve problems, checking the reasonableness of their solutions
Welsh: • modelu sefyllfaoedd go iawn, gan ddefnyddio hafaliadau ac anhafaleddau i ddatrys problemau, a chan ystyried rhesymolrwydd eu hatebion
English: • explore connections between equations and expressions with geometric, numerical and graphical representations, and understand their equivalence
Welsh: • archwilio'r cysylltiadau rhwng hafaliadau a mynegiadau sydd â chynrychioliadau geometrig,rhifyddol a grafﬁgol, ac yn deall eu cywerthedd
English: • model real-life situations, identifying variables and constructing polynomials.
Welsh: • modelu sefyllfaoedd go iawn gan adnabod y newidynnau a llunio polynomialau.
English: Geometry focuses on relationships involving properties of shape, space and position, and measurement focuses on quantifying phenomena in the physical world.
Welsh: Mae geometreg yn canolbwyntio ar berthnasausy'n ymwneud â phriodweddau siâp, gofod a saﬂe, ac mae mesur yn canolbwyntio ar feintioli ffenomena yn y byd fﬁsegol.
English: (i.e. formulating problems mathematically in order to solve them)
Welsh: (h.y. gosod problemau allan mewn ar ffurf fathemategol er mwyn eu datrys)
English: I can understand and apply the language of time in relation to my daily life and in relation to events that happen around me, including naming the days of the week, the months of the year and the seasons, all in meaningful contexts.
Welsh: Gallaf ddeall a chymhwyso iaith amser mewn perthynas â'm bywyd beunyddiol ac mewn perthynas â digwyddiadau sy'n digwydd o'm cwmpas, gan gynnwys enwi dyddiau'r wythnos,
English: I have used a variety of objects to measure lengths, masses and capacities, and I can understand the need to repeat the same physical unit without any gaps when measuring.
Welsh: Rwyf wedi defnyddio amrywiaeth o wrthrychau i fesur hydoedd, masau a chynwyseddau, ac, wrth fesur, gallaf ddeall yr angen i ailadrodd yr un gwrthrych (uned) heb unrhyw fylchau.
English: I can make estimates and comparisons with measures.
Welsh: Gallaf amcangyfrif a chymharu â mesurau.
English: I can use language and non-standard units to discuss my sense of size.
Welsh: Gallaf ddefnyddio iaith ac unedau ansafonol i drafod fy ymdeimlad o faint.
English: I have explored shapes through investigative play, and I can categorise and sort shapes using their properties.
Welsh: Rwyf wedi archwilio siapiau drwy chwarae ymchwiliol, a gallaf gategoreiddio a didoli siapiau gan ddefnyddio eu priodweddau.
English: I can use the language of shapes to describe objects.
Welsh: Gallaf ddefnyddio iaith siapiau i ddisgriﬁo gwrthrychau.
English: I have explored movements and directions, both physically and by using digital technology, and I can use mathematical language to describe position.
Welsh: Rwyf wedi archwilio symudiadau a chyfeiriadau, drwy ddull fﬁsegol a chan ddefnyddio technoleg ddigidol, a gallaf ddefnyddio iaith fathemategol i ddisgriﬁo saﬂe.
English: I can tell the time on an analogue clock (in at least 15-minute intervals) and I can connect this to time displayed digitally.
Welsh: Gallaf ddweud yr amser ar gloc analog (mewn cyfnodau o 15 munud, o leiaf) a gallaf gysylltu hyn â'r amser ar ffurf ddigidol.
English: I have estimated and measured length, volume, capacity, mass, temperature and time in practical situations, using non-standard units.
Welsh: Rwyf wedi amcangyfrif ac wedi mesur hyd, cyfaint, cynhwysedd, màs, tymheredd ac amser mewn sefyllfaoedd ymarferol, gan ddefnyddio unedau ansafonol.
English: I have used a variety of measuring devices from different starting points.
Welsh: Rwyf wedi cael proﬁad o ddefnyddio amrywiaeth o ddyfeisiau mesur o fannau cychwyn gwahanol.
English: I can apply standard units in practical situations to measure length, volume, capacity, mass, temperature and time accurately.
Welsh: Gallaf gymhwyso unedau safonol mewn sefyllfaoedd ymarferol i fesur hyd, cyfaint, cynhwysedd, màs, tymheredd ac amser yn gywir.
English: I have explored and named two-dimensional and three-dimensional shapes in a range of contexts.
Welsh: Rwyf wedi archwilio ac wedi enwi siapiau dau ddimensiwn a tri dimensiwn mewn amrywiaeth o gyd-destunau.
English: I can sort and categorise regular and irregular two-dimensional shapes in different ways, according to their properties.
Welsh: Gallaf ddidoli a chategoreiddio siapiau dau ddimensiwn rheolaidd ac afreolaidd mewn gwahanol ffyrdd yn ôl eu priodweddau.
English: I can sketch two-dimensional shapes and make models of three-dimensional objects.
Welsh: Gallaf fraslunio siapiau dau ddimensiwn ac yn gwneud modelau o wrthrychau tri dimensiwn.
English: I can identify reﬂective symmetry in a range of contexts and can identify symmetry in two-dimensional shapes.
Welsh: Gallaf adnabod cymesuredd adlewyrchol mewn amrywiaeth o gyd-destunau a gallaf adnabod cymesuredd mewn siapiau dau ddimensiwn.
English: I have explored the concept of rotation, both physically and using digital technology, and can use simple fractions of a complete rotation to describe turns.
Welsh: Rwyf wedi archwilio'r cysyniad o gylchdroi, drwy ddull fﬁsegol a chan ddefnyddio technoleg ddigidol, a gallaf ddefnyddio ffracsiynau syml mewn perthynas â chylchdro cyﬂawn i ddisgriﬁo troeon.
English: I have described and quantiﬁed the position of objects relative to other objects through active learning experiences, using appropriate language, including the words 'left' and 'right'.
Welsh: Rwyf wedi disgriﬁo ac wedi meintioli saﬂe gwrthrychau mewn perthynas â gwrthrychau eraill drwy broﬁadau dysgu gweithredol, gan ddefnyddio iaith briodol, gan gynnwys y geiriau 'chwith'
English: I can follow and create instructions related to movement, using a range of approaches and resources (including digital technologies) to demonstrate my understanding.
Welsh: Gallaf ddilyn a llunio cyfarwyddiadau sy'n ymwneud â symudiad gan ddefnyddio amrywiaeth o ddulliau ac adnoddau (gan gynnwys technolegau digidol) er mwyn dangos fy nealltwriaeth.
English: I can read analogue and digital clocks accurately and I can make calculations involving the passing of time.
Welsh: Gallaf ddarllen clociau analog a digidol yn gywir a gallaf wneud cyfriﬁadau sy'n gysylltiedig â threigl amser.
English: I have used timetables and schedules to make calculations involving time.
Welsh: Rwyf wedi defnyddio amserlenni a rhestrau digwyddiadau i wneud cyfriﬁadau
English: I have estimated and measured length, capacity, mass, temperature and time, using appropriate standard units.
Welsh: Rwyf wedi amcangyfrif ac wedi mesur hyd, cynhwysedd, màs, tymheredd ac amser, gan ddefnyddio unedau safonol priodol.
English: I can convert between metric units in mathematical and real-life problem-solving contexts, and I can check my answers to make sure they make sense.
Welsh: Gallaf drosi rhwng unedau metrig mewn cyd-destunau datrys problemau mathemategol a rhai bywyd go iawn, a gallaf wirio fy atebion er mwyn sicrhau eu bod yn gwneud synnwyr.
English: I have explored properties of two-dimensional shapes, using concrete, paper-based and digital resources, and I can use mathematical language to describe and compare the properties (including number of sides and symmetry) of given shapes, and to classify them accordingly.
Welsh: Rwyf wedi archwilio priodweddau siapiau dau ddimensiwn gan ddefnyddio adnoddau diriaethol, adnoddau papur ac adnoddau digidol, a gallaf ddefnyddio iaith fathemategol i
English: I can name different types of triangles.
Welsh: Gallaf enwi gwahanol fathau o drionglau.
English: I have explored vertices, edges and faces of three-dimensional shapes and I can use these characteristics to describe a three-dimensional shape.
Welsh: Rwyf wedi archwilio fertigau, ymylon a wynebau siapiau tri dimensiwn a gallaf ddefnyddio'r
English: I have explored the relationship between a three-dimensional shape and two-dimensional nets, using concrete, paper-based and digital resources, and I can recognise nets of common three-dimensional shapes.
Welsh: Rwyf wedi archwilio'r berthynas rhwng siâp tri
English: I have used a range of hands-on activities to explore the perimeter and area of shapes.
Welsh: Rwyf wedi defnyddio amrywiaeth o weithgareddau ymarferol i archwilio perimedr ac arwynebedd siapiau.
English: I have
Welsh: Rwyf wedi deillio'r fformiwlâu priodol yn eu tro ar gyfer dod o hyd i arwynebedd petryal a thriongl ongl sgwâr, ac wedi eu cymhwyso mewn cyd-destunau datrys problemau mathemategol a rhai bywyd go iawn, gan ddefnyddio dulliau amcangyfrif i ragfynegi a gwirio fy atebion.
English: I can demonstrate my understanding of angle as a measure of rotation and I can recognise, name and describe types of angles.
Welsh: Gallaf ddangos fy mod yn deall onglau fel ffordd o fesur cylchdro, a gallaf adnabod, enwi a disgriﬁo mathau o onglau.
English: I have developed an understanding of why we need co-ordinates and I can use them to
Welsh: Rwyf wedi dod i ddeall pam mae angen cyfesurynnau arnom, a gallaf ddefnyddio cyfesurynnau i leoli a phlotio pwyntiau ym mhedrant cyntaf y plân Cartesaidd.
English: I can use my knowledge of
Welsh: Gallaf ddefnyddio'r hyn rwy'n
English: I can represent and use compound measures, using standard units, and I can demonstrate an understanding of the relationship between a formula representing a measurement and the units used.
Welsh: Gallaf gynrychioli a defnyddio mesurau cyfansawdd, gan ddefnyddio unedau safonol, a dangos dealltwriaeth o'r berthynas rhwng fformiwla sy'n cynrychioli mesuriad a'r unedau a ddefnyddiwyd.
English: I can create and use conversion graphs to solve problems set in local and global contexts.
Welsh: Gallaf greu a defnyddio grafﬁau trawsnewid er mwyn datrys problemau wedi'u gosod o fewn cyd-destunau lleol a byd-eang.
English: I have explored symmetries and other properties of regular and irregular two-dimensional and three-dimensional shapes.
Welsh: Rwyf wedi archwilio cymesuredd a phriodweddau eraill siapiau dau ddimensiwn a thri dimensiwn rheolaidd ac afreolaidd.
English: I can construct two-dimensional representations of three-dimensional shapes in order to investigate properties further.
Welsh: Gallaf lunio cynrychioliadau dau ddimensiwn o siapiau tri dimensiwn er mwyn ymchwilio ymhellach i'w priodweddau.
English: I can classify two-dimensional and three-dimensional shapes according to their mathematical properties.
Welsh: Gallaf ddosbarthu siapiau dau ddimensiwn a thri dimensiwn yn ôl eu priodweddau mathemategol.
English: I have explored all four transformations of two-dimensional shapes, using a variety of approaches, including digital technology.
Welsh: Rwyf wedi archwilio'r pedwar trawsffurﬁad o ran siapiau dau ddimensiwn, gan ddefnyddio
English: I can use my understanding to predict and describe how shapes will change under a given transformation.
Welsh: Gallaf ddefnyddio fy
English: I can use co-ordinates to plot points in the four quadrants and deduce the location of additional points.
Welsh: Gallaf ddefnyddio cyfesurynnau i blotio pwyntiau yn y pedwar pedrant a diddwytho lleoliad pwyntiau ychwanegol.
English: I can use a protractor to measure and draw angles.
Welsh: Gallaf ddefnyddio onglydd i fesur a llunio onglau.
English: I have modelled and solved problems involving bearings.
Welsh: Rwyf wedi modelu ac wedi datrys problemausy'n cynnwys cyfeiriannau.
English: I can use reasoning to calculate the size of angles in triangles and quadrilaterals.
Welsh: Gallaf ddefnyddio dulliau rhesymu i gyfrifo maint onglau mewn trionglau a phedrochrau.
English: I have explored angles formed by parallel lines and by a transversal, and I can use my understanding to calculate angles in these contexts.
Welsh: Rwyf wedi archwilio onglau a luniwyd gan linellau paralel ac ardrawslin, a gallaf ddefnyddio fy nealltwriaeth i gyfrifo onglau yn y cyd-destunau hyn.
English: I have calculated the areas or surface areas of two-dimensional and three-dimensional simple and compound shapes, including circles, and have demonstrated an understanding of pi (
Welsh: Rwyf wedi cyfrifo arwynebeddau neu arwynebeddau arwyneb siapiau dau ddimensiwn a thri dimensiwn syml a chyfansawdd, gan gynnwys cylchoedd, ac wedi dangos dealltwriaeth o pi (
English: I have derived the formulae for the volume of simple three-dimensional prisms and I can calculate the volumes of three-dimensional shapes to solve problems.
Welsh: Rwyf wedi deillio'r fformiwlâu ar gyfer cyfaint prismau tri dimensiwn syml, a gallaf gyfrifo cyfeintiau siapiau tri dimensiwn er mwyn datrys problemau.
English: I have demonstrated an understanding of the relationship between right-angled triangles and squares in the context of Pythagoras' theorem, and I have used it to solve problems in mathematical and real-life contexts.
Welsh: Rwyf wedi dangos dealltwriaeth o'r berthynas rhwng trionglau ongl sgwâr a sgwariau yng nghyd-destun theorem Pythagoras, ac rwyf wedi defnyddio'r theorem honno i ddatrys problemau mewn cyd-destunau mathemategol a chyd-destunau go iawn.
English: I can explain why two or more shapes are similar, congruent, or neither.
Welsh: Gallaf egluro pam mae dau siâp neu fwy yn gyﬂun, yn gyfath, neu heb fod yn un o'r ddau.
English: I have used my knowledge of congruency and similarity to solve problems involving angles and lengths, both in mathematical and real-life contexts.
Welsh: Rwyf wedi defnyddio'r hyn rwy'n ei wybod am gyfathiant a chyﬂunedd i ddatrys problemau sy'n
English: I can calculate the perimeter, area or surface area and volume of compound two-dimensional
Welsh: Gallaf gyfrifo perimedr, arwynebedd neu arwynebedd arwyneb a chyfaint siapiau dau ddimensiwn a thri dimensiwn cyfansawdd, a gallaf ail-drefnu fformiwlâu er mwyn dod o hyd i hydoedd coll.
English: I have
Welsh: Rwyf wedi dangos dealltwriaeth o effaith graddfa wrth gymharu mesuriadau a siapiau ym mhob un o'r tri dimensiwn ac rwyf wedi defnyddio'r hyn rwy'n ei wybod am raddfa a chymarebau i gyfrifo hydoedd ac arwynebeddau ffracsiynau o siapiau, gan gynnwys arcau a segmentau o gylchoedd.
English: I have located and described the locus of points deﬁned by a range of different criteria, using
Welsh: Rwyf wedi lleoli ac wedi disgriﬁo locws pwyntiau a ddifﬁniwyd gan amrywiaeth o wahanol feini
English: digital and non-digital technologies.
Welsh: prawf, gan ddefnyddio technolegau digidol a thechnolegau nad ydynt yn ddigidol.
English: I have demonstrated an understanding of trigonometric ratios in right-angled triangles and I have used, in mathematical and real-life contexts, my knowledge of the trigonometric ratios to solve problems involving lengths, angles and area of any triangle.
Welsh: Rwyf wedi dangos dealltwriaeth o gymarebau trigonometrig mewn trionglau ongl sgwâr ac rwyf wedi defnyddio, mewn cyd-destunau mathemategol a rhai bywyd go iawn, yr hyn rwy'n ei wybod am y cymarebau trigonometrig i ddatrys problemau sy'n cynnwys hydoedd, onglau ac arwynebedd unrhyw driongl.
English: I have used reasoning and logical arguments, along with my knowledge of polygons, intersecting lines, angle and the circle theorems, to solve problems, deduce and calculate angles and lengths in diagrams that involve combinations of these.
Welsh: Rwyf wedi defnyddio dulliau rhesymu a dadleuon rhesymegol, ynghyd â'r hyn rwy'n ei wybod am bolygonau, llinellau sy'n croestorri, onglau a'r theoremau cylch, i ddatrys problemau, diddwytho a chyfrifo onglau a hydoedd mewn diagramau sy'n cynnwys cyfuniadau o'r elfennau hyn.
English: Algebra uses symbol systems to express the structures of relationships between numbers, quantities and relations.
Welsh: Mae geometreg yn canolbwyntio ar berthnasau sy'n ymwneud â phriodweddau siâp, gofod a saﬂe, ac mae mesur yn canolbwyntio ar feintioli ffenomena yn y byd fﬁsegol.