- Begin this lesson with an exploration about what happens when you divide up different shapes. Do this before
teaching the content of the lesson. - Start by having the students draw an equilateral triangle.
- Pose the question “What happens when you divide an equilateral triangle in half?”
- Have students actually cut their triangles in half using scissors.
- Then brainstorm answers to the questions.
- Then begin a new exploration.
- Have students draw a square.
- Pose the question, “What happens when you cut a square in half along the diagonal?”
- Have students cut their squares along the diagonal using scissors.
- Then brainstorm answers to the question.
- You should be able to create two columns of this information on the board.
- Label one side 45− 45 −90 and the other side 30− 60 − 90
- Tell students that these are the concepts that you are going to be working with in the lesson.
- As you teach the lesson, keep referring back to the information that the students have already discovered
during the exploration at the beginning of the class. - Then move on to the content in the text.
- Intelligences- linguistic, logical-mathematical, visual- spatial, bodily- kinesthetic, interpersonal, intrapersonal.
III.SpecialNeeds/Modifications
- List this description of the right isosceles triangle on the board/overhead.
- Two sides the same length
- Congruent base angles of 45◦.
- One right angle
- Review the Pythagorean Theorem.
IV.AlternativeAssessment
- Have students work through the problems in their notebooks as they are covered in the text.
- Then allow time for questions and answers.
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.MultipleIntelligences
- To differentiate this lesson, keep it active by including students in designing triangles to determine the tangent
ratio. - Begin by covering the material in the lesson.
- When finished, ask students to work with a partner and design three different right triangles.
- Ask students to measure and label the side lengths of each triangle, and label each angle.
- Then have the students exchange papers.
Chapter 4. Geometry TE - Differentiated Instruction