In this two-part introduction to ratios, students use ratio language and sketches to describe and differentiate between part-to-part and part-to-total (part-to-whole) relationships. Sketching ratios reveals the 3 quantities (part, part and total) and makes patterns apparent. This would be a great observation if you incorporated manipulatives such as square inch tiles.
Each day is comprised of:
Lesson Problem +Student Practice
Exit Ticket (to assess for student understanding, quick to grade)
Answer Keys for both days
Lesson plans from both days (the ones I submit to my supervisor, might be helpful)
The students found the content to be very funny and thereby engaging. This is the third year I’ve changed my draft of this lesson, and it seems to be in pretty good order.
After day 1, it is suggested to review the gummy bear problem from day 1 homework and to hand back the exit ticket.
After day 2, it is suggested to review the doughnut problem from day 2 homework and to hand back the exit ticket.
It is important to continue to continually reiterate that ratios show how 2 (or more) quantities are related and that ratios describe a pattern. Drawing out ratio relationships visually reveals the pattern that exists within the relationship.
Misconception: When ratios are represented in fraction form, it is only part to total ratios that are true fractions (too legit to quit!) because you have a part in the numerator and the total in the denominator. Part to part and total to part ratios are not true fractions; they are imposters.