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Siâp a Gofod / Shape and Space

Siâp a Gofod / Shape and Space. GRADD / DEGREE. GRADD / DEGREE. Rydym yn defnyddio graddau (e.e. 90 °) i fesur onglau We use degrees (e.g. 90 °) to measure angles. Troad Cyfan Full Turn (360 °). Ongl Sgw â r Right Angle (90 °). Llinell Syth Straight Line (180 °). Ongl Atblyg

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Siâp a Gofod / Shape and Space

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  1. Siâp a Gofod / Shape and Space GRADD / DEGREE

  2. GRADD / DEGREE • Rydym yn defnyddio graddau (e.e. 90°) i fesur onglau • We use degrees(e.g. 90°) to measure angles Troad Cyfan Full Turn (360 °) Ongl Sgwâr Right Angle (90°) Llinell Syth Straight Line (180°) Ongl Atblyg (llai na 360°, mwy na 180°) Reflex Angle (less than 360°, more than 180°) Ongl Aflem (llai na 180°, mwy na 90°) Obtuse Angle (less than 180°, more than 90°) Ongl Lem (llai na 90°) Acute Angle (less than 90°)

  3. 3) 2) 4) 1) 7) 8) 6) 5) 9) 11) 10) YMARFERION / EXERCISES • Disgrifiwch pob ongl fel / Describe the following as: • a) Ongl Sgwâr b) Llinell Syth c) Ongl Lem ch) Ongl Aflem d) Ongl Atblyg • a) Right Angle b) Straight Line c) Acute Angle d) Obtuse Angle e) Reflex Angle

  4. MESUR ONGLAU / MEASURING ANGLES • Rydym yn defnyddio ONGLYDD i fesur onglau. • We use a PROTRACTOR to measure angles. • Mae graddfa glocwedd a gwrthglocwedd ar yr onglydd • A protractor has a clockwise and anticlockwise scale • Os yw ongl yn troi (agor) yn glocwedd • mae angen defnyddio’r raddfa allanol • If an angle turns (opens) clockwise • you must use the external scale • Os yw ongl yn troi (agor) yn • wrthglocwedd mae angen • defnyddio’r raddfa fewnol • If an angle turns (opens) anticlockwise • you must use the internal scale

  5. MESUR ONGLAU / MEASURING ANGLES • Cam 1: Rhoi canol yr onglydd ar • gornel yr ongl • Step 1: Put the centre of the • protractor on the corner of the angle • Cam 2: Troi’r onglydd fel bo 0° ar • un o’r llinellau • Step 2: Turn the protractor so that • 0° is on one of the lines • Cam 3: Mesur i gyfeiriad yr ongl gan • gyfri 10°, 20°, 30° ac yn y blaen • Step 3: Start to count in the direction • of the angle 10°, 20°, 30° etc 70° 60° 50° 40° 30° 20° 10° 0° Cwblhewch y taflenni gwaith Complete the worksheets

  6. CREU ONGL 70° / CREATING A 70° ANGLE • Cam 1: Rhoi canol yr onglydd ar ben • llinell syth • Step 1: Put the centre of the • protractor on the end of a straight line • Cam 2: Troi’r onglydd fel bod 0° • ar y llinell. • Step 2: Turn the protractor so that • 0° is on the line • Cam 3:Mesur i gyfeiriad yr ongl gan • gyfri 10°, 20°, 30° ac yn y blaen. • Step 3: Start to count in the direction • of the angle 10°, 20°, 30° etc • Cam 4: Rhoi dot ar 70° • Step 4: Put a dot on 70° • Cam 5: Cysylltu’r dot â phen y llinell • Step 5: Connect the dot with the end • of the straight line 70° 60° 50° 40° 30° 70° 20° 10° 0°

  7. Gan ddefnyddio Onglydd a Pren Mesur, dyluniwch yr onglau canlynol yn eich llyfrau. Labelwch pob ongl fel hyn :- Using a Protractor and Ruler, create these angles in your books. Label each angle like this :- 35° YMARFERION / EXERCISES • 60° • 45° • 130° • 145° • 75° • 105° • 57° • 168° • 23°

  8. a 162° 80° b LLINELL SYTH / STRAIGHT LINE (180°) • Nid ydym bob amser yn darganfod onglau drwy eu mesur. Gallwn gyfrifo onglau. • We don’t always find angles by measuring. We can calculate angles. • Mae onglau ar linell syth yn adio i 180° • Angles on a straight line add to 180° b = 180° – 162° b = 18° a = 180° – 80° a = 100°

  9. 138° a b c 65° 50° f 117° 103° e 72° d 64° 50° g 30° 100° h 20° i YMARFERION / EXERCISES • Cyfrifwch yr onglau sydd wedi eu marcio â llythrennau • Calculate the angles labelled with letters

  10. a b 290° 235° TROAD CYFAN / FULL TURN (360°) • Nid ydym bob amser yn darganfod onglau drwy eu mesur. Gallwn gyfrifo onglau. • We don’t always find angles by measuring. We can calculate angles. • Mae’r onglau o amgylch pwynt yn gwneud troad cyfan. Mae nhw’n adio i roi cyfanswm o 360° • Angles around a point make a full turn. • They add to make a total of 360° a = 360° – 290° a = 70° b = 360° – 235° b = 125°

  11. c 24° d 82° 32° a b 285° e 156° h f 44° 130° 170° 88° g 147° 134° YMARFERION / EXERCISES • Cyfrifwch yr onglau sydd wedi eu marcio â lythrennau • Calculate the angles labelled with letters

  12. 150° 120° x z q 60° y p CYFERBYN / OPPOSITE • Nid ydym bob amser yn darganfod onglau drwy eu mesur. Gallwn gyfrifo onglau • We don’t always find angles by measuring. We can calculate angles • Mae’r onglau CYFERBYN yn hafal. Mae hyn yn digwydd pan fo dwy • linell yn croesi. Mae un ONGLGOCH ac un ONGL LAS yn adio i 180° • The OPPOSITE angles are equal. This happens when two lines cross each other. • One RED ANGLE and one BLUE ANGLE add to 180° y = 150° x = 30° z = 30° q = 60° p = 120°

  13. 135° 145° 35° a 40° c d b f e g 29° 150° 151° 40° j L h i k 35° r s o n p 77° t q m u YMARFERION / EXERCISES • Cyfrifwch yr onglau sydd wedi eu marcio â lythrennau • Calculate the angles labelled with letters

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