Proportionality Relationships
I.SectionObjectives
- Identify proportional segments when two sides of a triangle are cut by a segment parallel to the third side.
- Divide a segment into any given number of congruent parts.
II.MultipleIntelligences
- Complete the technology integration as one way to differentiate this lesson.
- After working through the technology integration ask students to write their observations down in their
notebooks. - Conduct a sharing session and write student observations on the board.
- Midsegment of a Triangle- midsegment that divides the sides of a triangle proportionately.
- Activity- have the student use construction paper to design a triangle.
- Then using a ruler and a pencil, draw in the midsegment of the triangle.
- Ask students to make notes about the measurements of the triangle and how they have been altered with the
midsegment. - Then, use scissors to actually divide the triangle into two proportionate sections.
- Request that students write their observations down in their notebooks.
- The Lined Notebook Paper Corollary- demonstrate this as a whole class. Ask students to use notebook paper
and a ruler. - Write student observations on the board.
- Intelligences- linguistic, logical- mathematical, visual- spatial, interpersonal.
III.SpecialNeeds/Modifications
- Review ways to figure out if two triangles are similar using side lengths and angles.
- Define midsegment of a triangle on the board.
- Write out the Triangle Proportionality Theorem.
- Go through each step of each proof and explain each “Reason” as it is presented.
- Do not assume that the students remember previously learned information.
IV.AlternativeAssessment
- Create an observation checklist to use during both activities.
- For the technology piece, make a list of things that you would like students to gain from the activity.
- For the hands- on piece, make a list of things that you would like students to gain.
- Notice during the discussion sessions whether or not these goals have been met.
- If not, make these points to the students and explain how they were discovered.
Similarity Transformations
I.SectionObjectives
- Draw a dilation of a given figure.
- Plot the image of a point when given the center of dilation and scale factor.
- Recognize the significance of the scale factor of a dilation.
Chapter 4. Geometry TE - Differentiated Instruction