Reflection: Developing a Conceptual Understanding There's an ap for that! - Section 3: Exploration


One thing I wish I had done with this lesson was to ask my students to contextualize the data and engage them in MP2: Reasoning abstractly and quantitatively. Since they had already done some work with ratios I might have asked them to make up a problem scenario to match the graphic display. I have done several lessons using the same context of tile patterns. I think it is a really useful context in helping them learn about ratio and proportionality, but if I had it to do over again I would want to incorporate a greater variety of contexts. This ap is a great opportuntiy to do that. Understanding what the numbers and bars might represent helps them integrate the concept and also helps them see the math as a tool for understanding the world.

If I had done this lesson earlier in the unit I might have focused their exploration on the idea of change and equivalence, which is one of the difficult ideas in ratio. I might have asked them:

  • "what is staying the same as the bar height changes?"
  • "how can you predict the heights where the bars will turn green?"

Because my students had already done some work with ratios much of the element of surprise was lost on them. They knew what to expect and were not surprised when they found numerous ways to turn the bars green. In the future I would see the benefit in doing this lesson twice; once as an initial exploration and once later to create contextual problems. 

  Explore first, then learn
  Developing a Conceptual Understanding: Explore first, then learn
Loading resource...

There's an ap for that!

Unit 5: Writing and comparing ratios
Lesson 10 of 14

Objective: SWBAT identify a constant ratio by modeling a proportional relationship on the ipad.

Big Idea: Students find different ways of representing the same ratio.

  Print Lesson
2 teachers like this lesson
Math, Number Sense and Operations, technology, ratio table, ipad app, mat, ratio and proportion, ratios, pattern
  40 minutes
recording work on the ipad
Similar Lessons
Describing Ratios
6th Grade Math » Rates and Ratios
Big Idea: A ratio expresses a relationship where for every x units of one quantity there are y units of another quantity.
New Haven, CT
Environment: Urban
Carla Seeger
Introduction to Ratios
6th Grade Math » Proportional Reasoning: Ratios and Rates
Big Idea: What is a ratio? How can we create equivalent ratios? Students work to express and extend relationships using ratios.
Somerville, MA
Environment: Urban
Andrea Palmer
Writing The Constant of Proportionality Equation
7th Grade Math » Proportional Relationships
Big Idea: Students will write constant of proportionality equations from problems represented in graphs.
New Orleans, LA
Environment: Urban
Grant Harris
Something went wrong. See details for more info
Nothing to upload