This week we will learn to identify the constant of proportionality by finding the unit rate in the collection of equivalent ratios. They represent this relationship with equations of the form 𝑦=𝑘x , where 𝑘 is the constant of proportionality. Students derive the constant of proportionality from the description of a real-world context and relate the equation representing the relationship to a corresponding ratio table or graphical representation. We will end the week with consolidating our graphical understandings of proportional relationships as we interpret the meanings of the points (0,0) and (1,𝑟), where 𝑟 is the unit rate, in terms of the situation or context of a given problem.
I have been teaching 7th grade Mathematics for 10 years. I have worked at two IB MYP schools, one in Houston, Texas, and at West End Middle for 8 years. Please feel free to email me if you have any questions, comments or concerns.