One basic structure of linear functions is the multiplicative relationship. Middle school is the perfect time to merge real-world skills with multiplicative reasoning.
Teachers, start the unit by downloading the free template. https://www.teacherspayteachers.com/Product/Understanding-Multiplicative-Relationships-An-Introduction-to-Proportionality-551122
Guide your class through multiple representations of a multiplicative relationship.
1. Identify a context
2. Write a true statement
3. Complete the double number line
4. Create a chart of independent and dependent variables
5. Graph the points on the coordinate plane
Students practice "scaling up" a ratio by multiplying both ratio terms by a number greater than 1.
Students practice "scaling down" a ratio by multiplying both ratio terms by a number less than 1.
Understanding this relationship, connecting it to real world application, and having rich discussions leads to a deep understanding of linear equations.
With ample opportunities to differentiate and connect to individual students, the possibilities are endless and student engagement is guaranteed. Math is all around us - if you know where to look and how to think.
Differentiated Design ~ For the Love of Learning