Illustrating Mixed Number Sums with Tape Diagrams
Students will be able to add unlike mixed numbers using tape diagrams.
- Tell your kids that things are easier to do when they’re listed in a few easy-to-follow steps.
- Have them think, pair, and share something they could describe in four, easy-to-follow steps. Walk around the room to listen in on student shares.
- Share out to the class a few great examples you overheard and connect that today’s math lesson. Draw a connection by telling your class that today’s math lesson involves performing a task in four, easy-to-follow steps.
- Review the associative property of addition involving mixed numbers with your class, (Aab + Bcd) = (A + B) + (ab + cd) and answer any clarifying questions.
Explicit Instruction/Teacher modeling(10 minutes)
- Tell your students that they’ll be learning how to find mixed number sums using tape tape diagram solutions.
- Display the Problems, Fractions, and Tape Diagrams worksheet and preview the four-step procedure.
Guided Practice(10 minutes)
- Perform the first exercise with your students and answer any clarifying questions.
Independent working time(15 minutes)
- Have your class complete the remaining exercises.
- Pull a small group of emerging students and include a stronger student as a teacher’s apprentice. Get the group going then check in on other students throughout independent work time. Check in repeatedly to be sure the group is on track.
- Challenge advanced students to demonstrate the four-step procedure with subtraction.
- Taking photographs of real-time solutions then uploading them into online documents for classroom discussion is a great resource for teachable moments.
- Show your students a table showing the least common multiple for 9 and 3.
- Have your students explain a possible expression and tape diagram solution.
Review and closing(10 minutes)
- Share out solutions with the whole class.
- Discuss: What clues does a sum give us about its addends?