It is a ratios and proportionals example for sixth grade. It is a picture of El Castillo's steps and the objective is to solve a question about how high off the ground would 51 steps be? It requires using a ratio table to solve.

Students will multiply and divide a recipe to feed groups of various sizes. Students will use unit rates or proportions and think critically about real world applications of a baking problem.

This Desmos activity in an introductory lesson to unit rate.  The lesson starts by having students make an estimate on performing a "clicking task" and actually performing the task.  Students are asked to reflect on the comparison between their estimation and the actual results.  As students begin to conceptualize strategies their ideas evolve into calculating unit rate.  Students use "click bot" data to find the unit rate to determine the "click bot" winner in the clicker challenge.  This lesson is interactive and allows students to work at their own pace.  

This unit is designed to give students an introduction to this pressing societal problems and to teach students how to analyze some of the compiled data on global warming through rates, ratios and proportions; students will also learn to make projections and predictions using slope, and linear and exponential functions.

To teach this unit, the teacher has to have at least a general knowledge of global warming, the greenhouse effect, and the carbon cycle. I thought that it was important to explain the basics of these topics. This unit is designed as a math unit, to help students gain a deeper understanding of linear functions, slope, exponential functions, as well as rates, ratios and proportions. Global warming, the carbon cycle, and the greenhouse effect, will be the real life application to which we will apply our mathematics.

As an extension to our proportional reasoning unit and also a cross-curricular activity with Language Arts, this Math Analogy packet was created.  This was created for a 7th grade math classroom but could be utilized for middle school or high school.  This document can be edited to add new analogies or change the existing ones.  It can be used to teach or review new vocabulary or preassess student understanding of concepts, such as the Geometry analogy examples provided.  The format should be friendly via Google Docs to copy, edit, and then run copies for your students.  This packet could be done individually by students or in groups via discussion.

Students build scale models of objects of their choice. In class they measure the original object and pick a scale, deciding either to scale it up or scale it down. Then they create the models at home. Students give two presentations along the way, one after their calculations are done, and another after the models are completed. They learn how engineers use scale models in their designs of structures, products and systems. Two student worksheets as well as rubrics for project and presentation expectations and grading are provided.