Math at Work 12 Pacing Guide - This pacing guide replaces the previous yearly plan. It has been updated to reflect removed outcomes and provide flexibility for responsive instruction.
Math at Work 10 - 12 and related Math 7 - 9 Outcomes *Updated May 2024*
Math at Work 12 Desmos Activity Collection - A collection of online student Desmos activities organized by unit.
G01 - Diagrams are to be provided for all problems.
G01 Students will be expected to solve problems by using the sine law and cosine law, excluding the ambiguous case. [CN, PS, V]
G01.01 Identify and describe the use of the sine law and cosine law in construction, industrial, commercial, and artistic applications.
G01.02 Solve a problem using the sine law or cosine law when a diagram is given.
Additional Resources and Activities for G01 (sine and cosine law excluding the ambiguous case):
Sine and Cosine Rule Trig Pile Up - Work from the bottom to get an answer at the top! No “ambiguoius” cases (where you need to use sin(x)=sin(180-x)).
Solving Triangles Math Circuit worksheet - A set of 10 questions each with a side or angle to find. Sine and Cosine law as well as trig ratios and Pythagorean Theorem are all mixed together.
3 Fact Triangles - A 3 Fact triangle is one where 3 of the following facts are true: One side is 3cm; One angle is 90 degrees; One side is 4cm; One angle is 30 degrees. How many 3 fact triangles are there? What is the area and perimeter for each one? This is a great activity to practice sine and cosine law.
How High Is Mt. Ruapehu (application of sine/cosine rule) Desmos Activity - 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.
Sine Rule Target Table - Test your pupils' knowledge of the sine rule with this differentiated target table. The aim is to reach a target score, set by you, by answering questions from the table. The questions are differentiated, with different point values, so pupils can choose their own difficulty level.
Sidewalk Chalk Triangles - Ask students, in small groups, to construct a triangle using sidewalk chalk on a patch of concrete around the school (or painters tape on the floor inside the school). Have students use protractor/meter stick to measure and label one angle and two sides of the triangle. Groups then rotate to a different triangle and calculate the missing sides and angles using sine and cosine law. Students can then use their meter sticks to measure the actual lengths and angles to confirm their calculations. If their measurements don't match their calculations, try to figure out why.