Measuring Triangles

Curriculum details

Strand

Geometric Reasoning and Measurement (Strand 2)

Sub-strand

Measuring Triangles (2.2)

Content standard

3.2.2.CS.2 - Demonstrate understanding of compound angles and multiple angles and solve related problems 3.2.2.LO.1 Draw and analyse basic trigonometric graphs using values of the unit circle, maximum values and minimum values.

Indicator

3.2.2.LI.1 - Review compound identities

Suggested placement

Semester 1, Week 20 (Week 20 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.

Source document note

The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

• exemplars - p.503: adjacent duplicated CambriaMath characters were collapsed, but this PDF also maps some equation glyphs to the wrong letter or operator; verify every mathematical expression in this row against the rendered page

Curriculum reference

NaCCA curriculum document, p. 503

Exemplars (from the NaCCA curriculum)

Talk for Learning, Group work, and Building on what others say.
Learning Experience: Learners in mixed-ability recollect compound angles.
Activity 1 Recall of compound angle identity Learners in pairs recollect compound angle identity as;
- 𝑐 𝑐 (𝐴 + 𝐵) = 𝑐 − 𝑠
- 𝑐 𝑐 (𝐴 − 𝐵) = 𝑐 + 𝑠
- 𝑠 𝑠 (𝐴 + 𝐵) = 𝑠 + 𝑐
- 𝑠 𝑠 (𝐴 − 𝐵) = 𝑠 − 𝑐
- 𝑡 𝑡 (𝐴 + 𝐵) =
- G&%R$G&%T G&%R*G&%T 𝑡 𝑡 (𝐴 − 𝐵) = !$G&%RG&%T !*G&%RG&%T
Teaching and Learning Resources:
- Scientific Calculator
Assessment (3.2.2.AS.1). The document marks these depth-of-knowledge levels for this indicator: Level 1 Recall.