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How are fractions and division connected?


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Keywords: Math, fractions, dividing
Subject(s): Math
Grades 5 through 7
NETS-S Standard:
  • Creativity and Innovation
  • Communication and Collaboration
  • Technology Operations and Concepts
View Full Text of Standards
School: Shiloh Middle School, Parma, OH
Planned By: Jennifer Skladany
Original Author: Jennifer Skladany, Parma


The Essentials Effective Lesson Planning

Standard/s: 6.NS.A.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
Clear Learning Objective/s
I Can Statement/s
Success Criteria
I can divide whole and mixed numbers.



Success Criteria:
I can use a model to divide two whole numbers that
I can use a model to divide two whole numbers that have a fraction as the quotient.
I can use an equation to divide two whole numbers



Anticipatory Set-Engagement (10 min)
Explain to students that we are going to use virtual manipulatives to model dividing whole numbers into parts , or groups. Allow students time to play with the website and then guide them in the example of 3 wholes into 5 parts. Continue with Launch the Lesson in 3-5. These are designed to engage students with real world situations that reflect the math in the lesson. This example discusses cords of firewood, which our students may need further explanations as to what that is.
Teaching and Modeling-Explicit ( 10-15 min)
Project the Edpuzzle Live for students to join. Discuss ~ How are fractions and division connected? Remind them to look for patterns in math. We will explore this topic through web sketchpad. This is a new platform for them. I will present the inquiry question “ How is dividing fractions by whole numbers similar to dividing whole numbers by fractions?” Students will answer at the end of the Explore activity. Students will record all work in their math notebook. As they work, they will use their document camera to show their work. Through the learn and explore, students gain a conceptual understanding which will be the catalyst for fluency.



Guided Practice-How will students practice and process the new content presented? (15 min)
Set a Purpose: Prompt students to open their Learn assignment on Reveal Math. Launch the presentation and go through the examples and learn slides together.

Checks for Understanding/Adjust Instruction-How will you monitor student work and provide constructive feedback to solidify mastery?
Use the Checks at the end of the examples and learn sections to check for understanding. Students who miss ¾ checks will work with a small group the following day on Arrive Math, Take Another Look. Students who on track will try the Extension · Compute with Fractions, Decimals, and Whole Numbers while I work with the small group.

Independent Practice-How will students apply and extend the new content presented? (5-8 min)
Remind students of the Essential Question: How are operations with fractions and decimals related to operations with whole numbers? Students will complete 3-5 practice (RM C1) independently ( private break out rooms ). Students can use Goguardian chat, or request help if needed during this time.
Closure/Check for Understanding-Have students achieved your desired learning objective? What are the next steps?
Have partners use the THINK-PAIR-SHARE routine to discuss their ideas and then share with the group. Remind students to follow the agreed-upon rules for working collaboratively and to speak politely during the discussion. Students will complete the Exit Ticket.



Prior Knowledge ~ Multiplicative inverse, reciprocals, Inverse property of multiplication , components of a division problem, fluently add, subtract and multiply multi-digit whole numbers, divide whole numbers with up to 4 digit dividends and 2 digit divisors, add subtract and multiply fractions

Students multiplied with fractions and mixed numbers and divided with unit fractions. 5NF.B.4, 5.NF.B.6, 5.NF.B.7

Now ~ Students compute with multi-digit numbers and fractions. 6.NS.A.1, 6.NS.B.2, 6.NS.B.3

Future ~ Students will extend previous understandings of numbers to the system of rational numbers. 6.NS.C.5, 6.NS.C.6, 6.NS.C.6, 6.NS.C.7, 6.NS.C.8
Cross-Curriculum Ideas
1. Read & Write Along with Your Students
Even in today’s high-tech classroom, teachers and students still rely on textbooks, handouts, and other printed materials. Use your document camera to follow along in the textbook or novel when your students are reading out loud, to display a handout, or to inspect a chart, map, or graph as a whole class activity. If you teach younger students, your document camera can make storytime come alive and ensure all students can see the pictures. Your classroom document camera is also an invaluable tool when you want to display in-class writing and go over it with your students.

2. Bring Science Labs to Life
Science classes may benefit the most from having a classroom document camera. Use the document camera to demonstrate a dissection, study the pattern of petals on a flower, or see the striations on a rock more clearly. You can even quickly and easily document the steps of an upcoming lab or identify the parts of a frog by hitting record or taking photos of the process. Use these photos for identification questions on your next quiz or test.

3. Put the “Show” Back in Show-and-Tell
Students love Show-and-Tell. It’s a classic elementary school rite of passage that encourages even the most reluctant students to share a little more about their lives. But how often can the entire classroom really see what’s being shown? The next time your student proudly brings in a seashell or favorite toy, put the object on the document camera so the whole class can see it in stunning detail.

4. Magnify Math Manipulatives
Teachers love math manipulatives! These amazing educational tools teach students math basics such as counting, arithmetic, and pattern recognition while also honing their fine motor skills. With your document camera, you can use your interactive display to model the task for your students before they try it for themselves. Create a pattern with foam color tiles for your students to copy at their desks. Or, project a geoboard and make shapes with rubber bands while your students follow along. The possibilities are endless.

5. Demonstrate How To Use Technology
Sometimes it’s easier to quickly demonstrate how to do something rather than trying to explain it. A document camera is an effective tool in higher-level math classes and other classrooms. Show your students how to use their complicated graphing calculators or their tablets. Everything seems simpler when you have a guide to follow!
Materials: Video Tools, Camera/Video Accessories
Other Items: 32 Document Camera, $60.00 each, total of $1920.00