We've created two versions. One where all the equations are identities and one where some of them are not. Typically when we have done these, students could check their answers by using a UV pen to reveal the answers written on the answer cards (see example from our fraction continuum to the right). Because these are identities we chose to have the two sets so if you use set one, students just verify that they are identities. However, if you use set two, students will have to figure out which ones are and which are not identities. So on this second set you could have cards that have the invisible ink that verify which are the identities.
- MCR3U - 1.5 prove simple trigonometric identities, using the Pythagorean identity sin2(x) + cos2(x) = 1; the quotient identity tan(x) = sin(x)/cos(x); and the reciprocal identities sec(x) = 1/cos(x), csc(x) = 1/sin(x) , and cot(x) = 1/tan(x)
- MHF4U - As review
- Place the questions in piles (or in envelopes taped to the wall) in order of difficulty and set up three stations for the answer cards (if you are using the ones with non-identities). Students will get a card and answer the first 4 questions.
- Normally we might have students start at different places but because of the fact that there are different identities on each card, students should start at the first envelope.
- If they are using the set with non-identities, to check their answers, they will go to a station and use the magic pens. Students may decide to do one question at a time and then go check their answer or they may do all 4 and then check. Students are monitoring themselves so they decide. If they get the first 4 right, they have a level of mastery to move themselves to the next card. If not there are more questions on the card until they master that type. You can decide whether you want them to do the other 4 or just do enough to get a total of four correct.
- As they move through the continuum, the hope is that they reach level 4 which matches the grade 11 curriculum. You may wish to have them do all the questions on that card.
- The fifth level is set up to challenge students who are moving forward quickly. Here they create their own question.
- Gr 11 Trig Identities Continuum Google Doc, PDF
- Gr 11 Trig Identities Continuum (with non-identities) Google Doc, PDF
Did you use this activity? Do you have a way to make it better? If so tell us in the comment section. Thanks