JHS2 Mathematics · Term 3, Week 4

Measurement

Full lesson notes coming

Notes for this lesson are being prepared. The curriculum details below are complete and ready to use for your planning.

Curriculum details

Strand
Geometry and Measurement (Strand 3)
Sub-strand
Measurement (3.2)
Content standard
B8.3.2.1 - Apply the Pythagoras theorem, the primary trigonometric ratios and the formulas for determining the area of a circle to solve real problems.
Indicator
B8.3.2.1.5 - Establish the relationship between the basic trigonometric ratios and solve problems involving right-angled triangles.
Suggested placement
Term 3, Week 4 (Week 28 of the year)

Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.

Curriculum reference
Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 145

Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Identify and recognise the three primary trigonometric ratios.
i. Establish the sine, cosine and tangent of an angle in a right-angled triangle
Figure from the jhs2 mathematics curriculum, printed page 146
i. Find sin X, cos X and tan X in the diagram
Figure from the jhs2 mathematics curriculum, printed page 146
ii. Write two trig ratios of the angle marked θ in the diagram below:
Figure from the jhs2 mathematics curriculum, printed page 147
E.g. 2 Explain the angles of elevation and depression in real life situations.
Figure from the jhs2 mathematics curriculum, printed page 147

            
        
          
              
Figure from the jhs2 mathematics curriculum, printed page 148
E.g.3 Use trig ratios and the Pythagoras theorem to solve problems involving angles of elevation and depression.
i. A hunter, on top of a tower, sees a fire at an angle of depression of 30˚. The height of the tower is 18m. What is the distance between the fire and the hunter? Round off your answer to 2 significant figures.
Figure from the jhs2 mathematics curriculum, printed page 148