Description
Right-Angled Trigonometry: Pair or Group Tasks
4 tasks for students to think, do reasoning and work mathematically to identify and pose problems, and select and apply appropriate strategies (by drawing a diagram and measure the lengths and angles with appropriate tools then check the results with a scientific calculator) to find:
* an angle given a trigonometric ratio
* trigonometric ratios of complementary angles
* complementary angles in a right-angled triangle
Teaching idea:
Students work in pairs or groups to complete Tasks A to D then they compare their findings with another pair (group).
Level of Difficulty: Beginner (Easy)
Grades: 9th to 11th
Also suitable for Australian Curriculum
- Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (ACMMG223)
- Apply trigonometry to solve right-angled triangle problems (ACMMG224)
- Apply Pythagoras’ theorem to solve problems (ACMEM116)
- Apply the tangent ratio to find unknown angles and sides in right-angled triangles (ACMEM117)
- Work with the concepts of angle of elevation and angle of depression (ACMEM118)
- Apply the cosine and sine ratios to find unknown angles and sides in right-angled triangles (ACMEM119)
- Review sine, cosine and tangent as ratios of side lengths in right-angled triangles (ACMMM028)
- Review the use of the trigonometric ratios to find the length of an unknown side or the size of an unknown angle in a right-angled triangle (ACMGM034)
Related resources for Trigonometry Lessons:
Right-Angled Trigonometry Lesson 1
Right-Angled Trigonometry Lesson 2
Right-Angled Trigonometry Lesson 3
Right Triangle Trigonometry | Pair or Group Tasks | (SOH CAH TOA)
Highlights
Save even more with bundles
Description
Right-Angled Trigonometry: Pair or Group Tasks
4 tasks for students to think, do reasoning and work mathematically to identify and pose problems, and select and apply appropriate strategies (by drawing a diagram and measure the lengths and angles with appropriate tools then check the results with a scientific calculator) to find:
* an angle given a trigonometric ratio
* trigonometric ratios of complementary angles
* complementary angles in a right-angled triangle
Teaching idea:
Students work in pairs or groups to complete Tasks A to D then they compare their findings with another pair (group).
Level of Difficulty: Beginner (Easy)
Grades: 9th to 11th
Also suitable for Australian Curriculum
- Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (ACMMG223)
- Apply trigonometry to solve right-angled triangle problems (ACMMG224)
- Apply Pythagoras’ theorem to solve problems (ACMEM116)
- Apply the tangent ratio to find unknown angles and sides in right-angled triangles (ACMEM117)
- Work with the concepts of angle of elevation and angle of depression (ACMEM118)
- Apply the cosine and sine ratios to find unknown angles and sides in right-angled triangles (ACMEM119)
- Review sine, cosine and tangent as ratios of side lengths in right-angled triangles (ACMMM028)
- Review the use of the trigonometric ratios to find the length of an unknown side or the size of an unknown angle in a right-angled triangle (ACMGM034)
Related resources for Trigonometry Lessons:
Right-Angled Trigonometry Lesson 1
Right-Angled Trigonometry Lesson 2
Right-Angled Trigonometry Lesson 3
