- They must be sure that the dimensions of each square is accurate (many students will trace the initial square).
- Creativity counts for this assignment.
- Students could repeat this assignment using 30− 60 −90 triangles too.
III.MeetingObjectives
- Students will use ratios involved in right isosceles triangles.
- Students will see how a square and a right triangle are related.
- Students will understand the properties of 45− 45 −90 triangles.
- Students will demonstrate understanding by creating their tiling.
- Students will employ right triangle ratios with real- world problems.
IV.NotesonAssessment
- Create a rubric to grade student work.
- Share the rubric grading scale with the students before beginning.
- Be sure that student measurements are accurate.
- Encourage students to use color and creativity in their designs.
- Create a wall display of student work.
Tangent Ratios
I.SectionObjectives
- Identify the different parts of right triangles.
- Identify and use the tangent ratio in a right triangle.
- Identify complementary angles in right triangles.
- Understand tangent ratios in special right triangles.
II.ProblemSolvingActivity-LadderTangents
- Students will use what they have learned about tangents to solve the following problem.
- Here is the problem.
- “A building is 20 feet tall. Mark and his roofing company are going to replace the roof on the building. The
ladder that they are using 10 feet from the building creating an angle of 55◦. Use this information and the
diagram to solve the following questions.” - Figure08.05.01
- Write these questions on the board.
- What is the tangent of anglex?
- What is the length of the ladder?
- Solution:
- Tanx=^35
- Hypotenuse:a^2 +b^2 =c^2
- 12^2 + 102 =c^2
- 144+ 100 =c^2
- 244=c^2
√
244 =c^2- 15.6 feet=c
III.MeetingObjectives
Chapter 5. Geometry TE - Problem Solving