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.

Through this lesson and its two associated activities, students are introduced to the use of geometry in engineering design, and conclude by making scale models of objects of their choice. The practice of developing scale models is often used in engineering design to analyze the effectiveness of proposed design solutions. In this lesson, students complete fencing (square) and fire pit (circle) word problems on two worksheets—which involves side and radius dimensions, perimeters, circumferences and areas—guiding them to discover the relationships between the side length of a square and its area, and the radius of a circle and its area. They also think of real-world engineering applications of the geometry concepts.

This activity asks students to use proportions to find a missing unit cost or unit weight for various amounts of fruit. This should be used as practice after students have a solid understanding of how to use a proportion to find a missing value.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use. The Virginia Department of Education Resource titled, "Telling the Tale," walks students through a real world exercise analyzing a linear relationship.

Students will complete this assignment by stating if each pair of ratios forms a proportion.  Students solve by cross multiplying.  Students will write answers on a sticky note.

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.