- Have them also measure the width of Mickey’s arms.
- Tell them to keep this measurement as they will need it to solve the problem.
- Here is the problem.
- “Sasha is creating a t-shirt for her sister with Mickey Mouse on it. She takes a picture of Mickey Mouse from
Wikipedia and measures it. Now she knows that she needs to triple the size of the picture for it to be perfect
on the t-shirt. Given this information, help Sasha by creating proportions that show how the original picture
compares to the one on the t- shirt.” - Students need to use a diagram to show their work.
- Students need to show all of their problem solving.
- Remind them to show all work.
- Have students share their work when finished.
III.MeetingObjectives
- Students will draw a dilation of a given figure.
- Students will use a scale factor to show a dilation.
- Students will explain their thinking through writing and through diagrams.
- Students will share their work to demonstrate understanding.
IV.NotesonAssessment
- Is the diagram accurate?
- Is the dilation correct?
- Have the students shown all of the measurements?
- Are the proportions correct?
- Have the students shown all of their work?
- Is the student able to verbally explain their work?
Self- Similarity (Fractals)
I.SectionObjectives
- Appreciate the concept of self- similarity.
- Extend the pattern in a self- similar figure.
II.ProblemSolvingActivity-FractalFun
- If you have access to technology, then use this site to have students watch the different fractals being formed.
- http://en.wikipedia.org/wiki/Fractal
- Then tell students that they are going to create their own fractal.
- They can begin with a triangle, a pentagon or a hexagon.
- Students need to show four levels of the fractal.
- Remind them of the steps on how the fractal is created.
- You can use the steps in the text to assist the students.
- Then provide them with rulers, colored pencils and paper to create their fractals.
- Hint: There are bound to be errors at first. Remind the students to use the text to support their work. They can
also revisit the website to help them to brainstorm ideas and create an exciting fractal. - Leave students alone as much as possible.
- Allow students time to think and struggle a bit. It will help them to come to a clearer understanding of the
concepts in the lesson.
5.7. Similarity