Measurement

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

B8.3.2.1.2 - Establish the relationship between the hypotenuse 'c' and the two other sides 'a' and 'b' of a right-angled triangle (i.e. a 2 + b 2 = c 2 ) and use it to solve problems.

Suggested placement

Term 3, Week 3 (Week 27 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:

• indicator text - p.143: the squares are set as superscripts, which the text layer renders as separate digits; read 'a squared + b squared = c squared'

Curriculum reference

Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 143

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

Exemplars (from the NaCCA curriculum)

E.g.1Construct squares on the three sides

of a right-angled triangle in a square grid and compare the area of the square on the hypotenuse to the squares on the other two sides to state the relationship between the hypotenuse 'c' and the two other sides 'a' and 'b' of a right-angled triangle i.e. a 2 + b 2 = c 2
E.g. 2 Using a pair of compasses and ruler,

construct squares on the three sides of a right-angled triangle and measure the area of the square on the hypotenuse and compare to the squares on the other two sides to state the relationship between the hypotenuse 'c' and the two other sides 'a' and 'b' of a right- angled triangle i.e. a 2 + b 2 = c 2.

E.g. 3 Solve problems involving the Pythagoras theorem.
i. Determine the missing side marked h in the figure.
ii. Find the height AB.