##
* *Reflection: Student Ownership
Mickey Mouse Proportions - Section 2: Warm up

I had planned this as a fun activity for our school's "disney day" spirit celebration. What I had not anticipated was how much proportional language my students engaged in as they were working. I only realized it after observing the lesson in another teacher's class and I didn't get a chance to capitalize on it in my class.

As I circulated in my colleagues room I noticed students erasing part of their drawing. At first I didn't notice this as an opportunity until one of them said "my ears are too small". **At that moment I realized they were noticing proportion! I also realized I had missed an opportunity in my own class.**

After conferring with my colleague we told the student that she had noticed something really important mathematically and asked if we could share it with the class. We put her picture under the document camera and asked the class what they thought. They immediately concluded "the ears are too small."

When we asked them to discuss how they could tell they responded with:

- "they need to be bigger
*to match*with the head" - "they're too small
*compared*to the head" - "they need to be like closer to
*half of*the head"

In one class my colleague and I followed up with: **"Would the ears match another head?"** to which students responded with:

- "the head would have to
*shrink*down a little bit" - "If the head was
*half*the size" - "yes, the ears would make the
*same amount*of the picture" - "the ears would
*fit*on a smaller Mickey"

In another class we asked: **"So, how might we explain to someone who is blind that the ears match the head?"** In response to this question students started thinking a little more mathematically and proposing conjectures that might have been worthwhile to explore as a class:

- "if the head is
*doubled*, the ears have to double; or if it's*3 times*bigger the ears have to be 3 times bigger" - "they have to grow by the
*same amount*"

After asking for clarification of what was meant mathematically by "grow by the same amount" students explored cases of multiplying by and adding the same amount which served to emphasize multiplicative thinking.

*Developing the language of proportion*

*Student Ownership: Developing the language of proportion*

# Mickey Mouse Proportions

Lesson 14 of 14

## Objective: SWBAT use ratio and proportion to draw a Mickey Mouse face.

*54 minutes*

#### Warm up

*10 min*

Students are asked to try to draw a picture of Mickey Mouse's face from memory. Several students are likely wearing Disney shirts, so that gives them some reference. However, most of the drawings come out looking distorted. Having this initial picture to compare to will hopefully give them a frame of reference for understanding the idea of proportional vs. disproportional.

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#### Power point presentation

*15 min*

I go through the presentation to introduce the vocabulary for proportion and disproportion. The visual examples of proportional changes and disproportional changes are really helpful for ELL students when learning a new concept and new vocabulary. It's true that a picture is worth 1000 words, in any language! The notes in the presentation have good discussion points.

#### Resources

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#### Exploration

*29 min*

My teacher friend, Katie, and I did this with our classes. This is Katie explaining how she walked students through using ratio to draw Mickey Mouse. She circulated at each step to help students use the ratio grid lines as guides. One thing that might be helpful during this part is to have copies of the original picture (with grid lines) at each table group so they could see more clearly how to follow the ratio grid lines.

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- UNIT 1: Order of operations & Number properties
- UNIT 2: Writing expressions
- UNIT 3: Equivalent Expressions
- UNIT 4: Operations with Integers
- UNIT 5: Writing and comparing ratios
- UNIT 6: Proportionality on a graph
- UNIT 7: Percent proportions
- UNIT 8: Exploring Rational Numbers
- UNIT 9: Exploring Surface Area
- UNIT 10: Exploring Area & Perimeter

- LESSON 1: Which is the blackest?
- LESSON 2: Designing the floor pattern
- LESSON 3: Breaking down the design
- LESSON 4: Part to whole ratio
- LESSON 5: The secret side of ratios
- LESSON 6: Comparing ratios
- LESSON 7: Ratio soup assessment day
- LESSON 8: Scaling up ratios
- LESSON 9: Terminology for scaling ratios
- LESSON 10: There's an ap for that!
- LESSON 11: Let's get organized!
- LESSON 12: Navigating a data table
- LESSON 13: Mistakes & Peer Instruction
- LESSON 14: Mickey Mouse Proportions