MTH 4-16a Trigonometry

Transcription

1 MTH 4-16 Trigonometry Level 4 [UNIT 5 REVISION SECTION ] I cn identify the opposite, djcent nd hypotenuse sides on right-ngled tringle. Identify the opposite, djcent nd hypotenuse in the following right-ngled tringles: I cn use SOH CAH TOA to choose the correct rtio for ech problem. Identify which rtio you would use to find the missing side/ngle in the following tringles: I cn clculte the length of missing side on right-ngled tringle using the sin, cos nd tn rtios when is on the top. Clculte the missing sides in the following right-ngled tringles:

2 Level 4 [UNIT 5 REVISION SECTION ] I cn clculte the size of missing ngle on right-ngled tringle using the sin, cos nd tn rtios. I cn clculte the length of missing side on right-ngled tringle using the sin, cos nd tn rtios when is on the bottom. I cn use my knowledge of Trigonometry in right-ngled tringles to solve vriety of problems.

3 Level 4 [UNIT 5 REVISION SECTION ]

4 Level 4 [UNIT 5 REVISION SECTION ] MTH 4-1 Ptterns I cn find missing terms in sequence. Write the net three terms in the following sequences. 1., 5, 8, 11,,,...,. 168, 84, 4,,,,. 1, 5, 5,,,, 4. 1,, 5, 10,,,, Write down the missing terms in the following esquences , 140,, 60, 0,,. 1, 1,,,, 8, 1,, 4,. 1, 4, 9,,, 6, 4. 7, 11,, 19,,, 1, 5. 99, 89, 98, 90, 97,, 96,, 95, , 97, 88, 7,, 11, I cn write down the formul for pttern of the form y = m to find the n th term I cn write down the formul for pttern of the form y = m + c to find the n th term

5 Level 4 [UNIT 5 REVISION SECTION ] I cn use the formul to find y when given vlue for.

6 Level 4 [UNIT 5 REVISION SECTION ] I cn use the formul to find when given vlue for y.

7 Level 4 [UNIT 5 REVISION SECTION ] MTH 4-17 Circle I cn clculte the size of missing ngles formed inside circles using my knowledge of ngle nd circle properties. I cn use my knowledge from Pythgors nd properties of circle in order to solve problems nd find missing lengths involving stright lines nd circles. 1

8 Level 4 [UNIT 5 REVISION SECTION ] MTH 4-14b Fctorising I cn fctorise n epression by tking out common fctor. Fctorising the following: 15 b 5y 5 c 8 48 d 18 6t e 9 f y y g b 4b h 5p p i b c j y k pq pr l m 8 0 n 1y 8 o 4 p 6c 6 I cn fctorise n epression by using the difference of two squres. Fctorise the following: b c p 9 d c 5 e b 1 f y 16 g m 5 h 9 i 6 d j 4 q k 49 w l 64 m 81 4g n 6w y o 4 1 p g 81h q 49 y r 9c 16d s 4p 9q t b 100c I cn fctorise qudrtic epression of the form: + b + c. Fctorise the following: b 7b 1 b c s 11s 4 d y 11y 8 e b 6b 9 f c 1c 4 g 1 h y 6y 8 i 6 5 j c 6c 8 k y 10y 1 l b 14b 48 m 7 10 n s 1s 40 o y 11y 18 p 8 16 I cn fctorise qudrtic epression of the form: + b + c. Fctorise the following: v 10v 7 b l 11l 5 c 1m 1m 7 d n 19n 8 e 4b 0b 5 f n n 8 g q 14q 5 h c 5c 18

9 Level 4 [UNIT 5 REVISION SECTION ] I cn use my knowledge of fctorising to fctorise n epression using the methods in the correct order. Fctorise the following: MTH 4-17b Similrity I cn eplin why two shpes re similr. Corresponding ngles re equl. Identify corresponding sides. Know tht corresponding sides hve been multiplied by the sme scle fctor. Equingulr tringles re lwys similr. I cn clculte the scle fctor when shpe hs been enlrged or reduced. Clculte the scle fctor for the following pirs of similr shpes.

10 Level 4 [UNIT 5 REVISION SECTION ] I cn use the scle fctor to drw n enlrgement or reduction. Drw n enlrgement, scle fctor, of the shpe below Drw reductions, scle fctor, of the shpe below

11 Level 4 [UNIT 5 REVISION SECTION ] I cn use the scle fctor to clculte the size of missing length on similr shpe. Clculte the missing sides in the similr shpes below

12 Level 4 [UNIT 5 REVISION SECTION ] I cn clculte the re scle fctor nd use it to clculte the re of similr shpe. 1. b. b I cn clculte the volume scle fctor nd use it to clculte the volume of similr shpe.

13 Level 4 [UNIT 5 REVISION SECTION ] MTH 4-15 Equtions & Inequlities I cn solve equtions which involve brckets d r p q p o y n m m l k j p i y h g v f m e p d c p b n m l k j i h g f e d c b

14 Level 4 [UNIT 5 REVISION SECTION ] I cn solve inequlities with letters on one side, letters on both sides nd with brckets h g f e d c b I cn solve inequlities involving negtive numbers h h h g y y f m m e k k d p p c b MNU 4-11c Volume I cn clculte the volume of cube/cuboid using the formul: V = l b h. 1. Find the volume of the following cuboids: l = 0 cm, b = 1 cm, h = 8 cm. b l =.6 cm, b =.8 cm, h = 9.4 cm. c l = m, b = 5.1m, h =.1 m...

15 Level 4 [UNIT 5 REVISION SECTION ] I cn find the re of the uniform cross section of prism using re formul for common D shpes. I cn find the re of the uniform cross section of prism when it is composite D shpe. I cn find the volume of prism using re the formul: V = Ah.

16 Level 4 [UNIT 5 REVISION SECTION ] I cn find the size of missing side when given the volume I cn chnge the units of volume from cm to ml to Litres. 1. Chnge the following volumes to litres 5500 cm b 0 ml c cm d 0.6 m. Chnge the following volumes to cm 7. litres b litres c 10, 560 litres d 0.0 litres

17 MTH 4-1b Grdient Level 4 [UNIT 5 REVISION SECTION ] I know wht the grdient of line is nd cn identify positive nd negtive grdient from digrm. Stte the grdient of the following lines:

18 Level 4 [UNIT 5 REVISION SECTION ] I cn clculte the grdient from digrm using the formul: m = V H Clculte the grdient of the following lines: I cn clculte the grdient when given two points A 1, y 1 nd B, y using the formul: m AB = y y 1 1 Clculte the grdient of the line joining ech pir of points below. A4,, B8,11 b C1,9, D,1 c E-,6, F8,8 d G5,-9, H8,-15 e I0,6, J5,11 f K-1,-, L7,-9 g M-4,0, N-1,5 h P,, Q-,4 i R5,-1, S-,10

19 Level 4 [UNIT 5 REVISION SECTION ] I cn use my knowledge of grdient to identify when stright line is verticl, horizontl or prllel. Stte the equtions of the lines in the following digrms: MTH 4-1c The Eqution of Stright Line I cn write down the eqution of verticl line in the form: = I cn write down the eqution of horizontl line in the form: y = b See questions bove. MTH 4-1d Drwing Stright Line I cn mke tble of points which lie on stright line when given its eqution. I cn plot points on co-ordinte digrm of up to four qudrnts nd join them up to form the grph of stright line. Use the given eqution nd tble of vlues like to plot co-ordintes nd drw the following lines. 1. y = +. y = y = 4 4. y = + 5. y = 7 6. y = 4 -

20 Level 4 [UNIT 5 REVISION SECTION ] I cn use the grph of stright line to mke estimtions nd predictions to nswer relted questions.