## Reflection: Connection to Prior Knowledge My Family's Lady Bugs (day 1 of 3) - Section 2: Warm up

In solving the last problem in the warm up one of my students began to explain how she found the correct answer: 9/15. Instead of simplifying 6/10 to 3/5 and then scaling up as I expected, she said she added 5 to the 10 and added 3 to the 6. In years past I may have stopped listening as soon as she said "added", but I kept listening and modeled it on the board and saw immediately that in fact her additive method works. We shared it with the class and asked the small groups to discuss why it makes sense that her method works. Sadly, I did not get video, but there were two wonderful connections made. Most students could see that adding 3 and 5 was still maintaining the constant ratio of 3/5 and said that as long as you are adding 3 (spotted lady bugs) for every 5 (total lady bugs) it would stay in proportion. Another group pointed out that, starting with 6/10, she added half of 10, so she has to add half of 6, which is a lot like scaling up or simplifying by the same factor!

Connection to Prior Knowledge: Elegant use of additive thinking

# My Family's Lady Bugs (day 1 of 3)

Unit 7: Percent proportions
Lesson 11 of 16

## Big Idea: Students become comfortable using a variety of mathematical tools to show equivalence.

Print Lesson
1 teacher likes this lesson
Standards:
Subject(s):
Math, Percentages, Number Sense and Operations, proportionality, ratios, proportionality on a graph, pattern
54 minutes

### Erica Burnison

##### Similar Lessons

###### Proportional Relationships of Whole Numbers
7th Grade Math » Proportional Relationships
Big Idea: Students expand and solve ratio problems using whole numbers on a double line.
Favorites(35)
Resources(14)
New Orleans, LA
Environment: Urban

###### Potential & Kinetic Energy Experimental Design
7th Grade Science » Energy, Force & Motion
Big Idea: Toys are great tools for learning about physical science. What can you learn by playing with pullback cars? How can you use math to demonstrate relationships?
Favorites(6)
Resources(13)
Hope, IN
Environment: Rural