Unit 6: Trigonometry
(Foundations of Mathematics 11: Chapter 3 and 4)
Mathematics 11: Outcomes At-a-Glance Curriculum Document Pacing Guide
Extended Mathematics 11: Outcomes At-A-Glance Curriculum Document Pacing Guide
(Foundations of Mathematics 11: Chapter 3 and 4)
Mathematics 11: Outcomes At-a-Glance Curriculum Document Pacing Guide
Extended Mathematics 11: Outcomes At-A-Glance Curriculum Document Pacing Guide
Indicator G03.04 (the ambiguous case of the sine law) has been removed from curriculum for BOTH Mathematics 11 and Extended Mathematics 11.
G03 Students will be expected to solve problems that involve the cosine law and the sine law, including the ambiguous case.
G03.01 Draw a diagram to represent a problem that involves the cosine law and/or sine law.
G03.02 Explain the steps in a given proof of the sine law and of the cosine law.
G03.03 Solve a problem involving the cosine law that requires the manipulation of a formula.
G03.04 Explain, concretely, pictorially or symbolically, whether zero, one or two triangles exist, given two sides and a non-included angle.
G03.05 Solve a problem involving the sine law that requires the manipulation of a formula.
G03.06 Solve a contextual problem that involves the cosine law and/or the sine law.
Additional Resources and Activities for G03 (sine and cosine law):
Desmos Activity: How High Is Mt. Ruapehu (application of sine/cosine rule) - Calculate the height of mountains using non-right angle trigonometry. Students will have the freedom to take their OWN measurements using a virtual tape measure and clinometer then use their recorded measurements to find the heights of mountains -- including Mt. Ruapehu, New Zealand.
Non-Right Triangle Practice from Ms. Konstantine - This Google Slides has three pages of practice problems. One focused on triangle area, one on sine rule and one on cosine rule. From the MathsHKO blog.
Triangle Area Project from Girl Math - Students use Google Maps to locate an area of the world they are interested in. Select a plot of land in the shape of a non-rectangular quadrilateral (or more complex polygon for enrichment) and then use a virtual protractor to measure sides and angles. Students then calculate the area of this land and share their project on a Google Slide. Created by Girl Math. You might start this project off with a warm-up to remind students how to divide any polygon in to triangles.
Unit 6 Cumulative Review
EECD 17 Trigonometry Project - An activity shared by EECD to allow students to demonstrated their understanding of outcome G03.
Trig Pile Up Including Sine and Cosine Rule from MathematicQuinn - A challenging Trig Pile up requiring the use of SOHCAHTOA, Pythagoras' Theorem, Sine rule, Cosine Rule and finding an obtuse angle with Sine.
Sine and Cosine Rule Trig Pile Up from MrGrayMaths - Work from the bottom to get an answer at the top! No “ambiguous” cases (where you need to use sin(x)=sin(180-x)).
Digital Break Out Room: The Case of the Missing Triangle - *Updated Nov 2025* Your teacher has been collecting good questions for your test on non-right angled trigonometry. But all of the triangles have disappeared! Solve the clues to help find the triangles and save the test or they will have to resort to using the super-hard backup test! (Teacher Directions and Solutions)