Lesson Plan: Adding Fractions

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Unit Goal

The learner will understand how to add fractions as well as mixed numbers with unlike denominators.

Unit Objectives

1. Reduce fractions to lowest terms
2. Write equivalent fraction
3. Add fractions with unlike denominators
4. Add three or more fractions with unlike denominators
5. Add mixed numbers with unlike denominators

Background and Rationale

Learning how to add fractions helps with building a great foundation and helps to develop more confidence as students advance in math and science classes.  This lesson will lead to the next lesson on how to subtract fractions.  Fractions are in everyday life construction, recipes, landscaping, are just a few things were fractions show up.

In this lesson the student will learn about how to add fractions with unlike denominators. Additionally, the student will review adding fractions with like denominators, equivalent fractions, improper fractions, mixed numbers, prime numbers, and LCM. The student will have access to lessons that have been taught online, and there will be extra problems provided for students that need more practice, the steps for the process will be given to them in their notes, Anchor Charts, collaboration, conferencing with students and teacher, and the students will be reflected throughout the unit.

At the end of the unit, along with a test, the students will create a 3-2-1 Bridge about adding fractions with unlike denominators. This will help to determine if there is an understanding of what they are doing and why.


Bloom’s Taxonomy

Creating (highest level)

Common Core / State and District Standards

Learning and Innovation Skills (P21.org)

Creativity and innovation                   

      Think Creatively:

  • Use a wide range of idea creation techniques (such as brainstorming)

  • Create new and worthwhile ideas (both incremental and radical concepts)

  • Elaborate, refine, analyze and evaluate their own ideas in order to improve and maximize creative efforts

       Work Creatively with Others:

  • Develop, implement and communicate new ideas to others effectively

  • Be open and responsive to new and diverse perspectives; incorporate group input and feedback into the work

       Reason Effectively:

  • Analyze how parts of a whole interact with each other to produce overall outcomes in complex systems

            Make Judgments and Decisions

  • Effectively analyze and evaluate evidence, arguments, claims and beliefs

  • Analyze and evaluate major alternative points of view

  • Reflect critically on learning experiences and processes

       Communicate Clearly

  • Articulate thoughts and ideas effectively using oral, written and nonverbal communication skills in a variety of forms and contexts

      Collaborate with Others

  • Demonstrate ability to work effectively and respectfully with diverse teams

Life and Career Skills (P21.org)

Flexibility and Adaptability: Be Flexible

  • Incorporate feedback effectively

  • Deal positively with praise, setbacks and criticism

Initiative and Self Direction: Work Independently

  • Monitor, define, prioritize and complete tasks without direct oversight

Productivity and Accountability: Produce Results

  • Multi-task

  • Participate actively, as well as be reliable and punctual

  • Present oneself professionally and with proper etiquette

  • Collaborate and cooperate effectively with teams

  • Respect and appreciate team diversity

  • Be accountable for results

Information, Media, and Technology Skills (P21.org)

Create Media Products

  • Understand and utilize the most appropriate media creation tools, characteristics and conventions

 Apply Technology Effectively

  • Use technology as a tool to research, organize, evaluate and communicate information

  • Use digital technologies (computers, PDAs, media players, GPS,  etc.), communication/networking tools and social networks appropriately to access, manage, integrate, evaluate and create information to successfully function in a knowledge economy

Lesson – Introduction

Post the question on the day. This is done to allow the students to evaluate themselves each day after they have practiced with specific skills as well as received feedback frrom peers and the teacher. This will help the students to have an understanding of where they are with their learning and be able to see their own progress. This also allows them to take ownership of their own learning process.

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Click on the image to access the website

 

Lesson Activities and Procedures

Day one will consist of 30 minutes for practice.

Day two will consist of collaboration with peers and/or the teacher which will be 60 minutes. The student will also be required to work the few new practice problems that are customized to what the student is having trouble with. They will then be required to take a *checking-in (Some students that get a 100 on their *checking in will not be required to work extra problems.) All students will need to watch the teacher-made tutorials of the lesson and take notes on mean, median, and mode.

Day three will consist of  the learner watching another teacher-made tutorial and taking notes on the material. They will practice what they have learned through collaboration with their peers and teacher.

Day four will consist of collaboration with peers and/or the teacher which will be 60 minutes. The student will also be required to work the few new practice problems that are customized to what the student is having trouble with. They will then be required to take a *checking-in (Some students that get a 100 on their *checking in will not be required to work extra problems.) All students will need to watch the teacher-made tutorials of the lesson and take notes on mean, median, and mode.

Day Five will consist of the students applying the thinking routine

Student Procedure

Teacher Procedure

Materials

 Day 1 Day 1  Day 1
The student will watch a techer-made lesson created by their teacher on adding fractions with unlike denominators, Or the students can watch the teacher demonstrate how to add fractions using the steps during fact-to-face instruction. (5 min) The teacher will provide 3 Simple Steps for Adding Fractions.Step 1:
  • You need to have a common denominator.
  • Find the LCD (aka LCM)
  • Once you change the denominator you need to change the numerators.
  • Do unto the numerator as you do to the denominator.

Step 2: Add the numerators keeping the denominator the same.

Step 3: You need to simplify your fraction if needed. You might need to change an improper fraction to a mixed number. This will give you your final answer.

Teacher-made tutorials
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Click on the link to access the website

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Click on the image to access the website

 

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Click on the image to access the website

Screencast: teacher-made video for delivering instruction at home for flipped teaching (5 min)

The student will take notes and work some practice problems while watching the lesson.

The teacher will provide practice problems for the students to work.
practice problems from AAA math or from IXL (see above links)
Day 2 Day 2 Day 2

The student will come in the next day and take a “checking-in” so the teacher and student can see where they are on their understanding of the concept.

The teacher will give a few practice problems either on a sheet of paper or within a technology tool (Quia.com) or Learning Management System (Haiku.com)
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Click on the image to access the problems for a “checking in”

Learning Management System (LMS):  Google, Edmodo, and/or Haiku for online learning

The student will then reflect on the problems they got wrong by doing the following:

a. They will go over the steps making sure they followed each step.

b. Collaborate with a peer to talk about how to work the problems.

c. They will meet with the teacher in small groups.

 

Differentiation: Have students that are having trouble with the concept to draw pictures of what they think the fraction addition problem will look like. You can check for understanding with this activity. As a teacher you can also have drawings on hand to help those that learn better with visuals.

The teacher will have the students to recall the steps for adding fractions in small groups or one-on-one with the teacher.
The teacher will provide differentiation through drawings for the visual learners.
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Click on the image for the practice problems

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Click on the image to access the answers to the problems

 

After making corrections and reflecting the student will work another practice problem following the steps. The teacher will instruct the students who need more practice to complete additional problems.  customized list
 Day 3  Day 3  Day 3
The student will watch a teacher-made tutorial on adding mixed fractions with unlike
denominators and adding whole numbers to fractions, or the students can watch the teacher demonstrate this on the board.
The teacher will provide the steps for adding mixed fractions with unlike denominators and adding whole numbers to fractions. Teacher-made tutorialsScreencast: teacher-made video for delivering instruction at home for flipped teaching (5 min)see link above
 The student will take notes and work some practice problems while watching the lesson. The teacher will provide practice problems for the students to work.
Screen Shot 2015-03-31 at 12.26.07 PM

Click on the link to access the website

Screen Shot 2015-03-31 at 12.28.38 PM

Click on the image to access the website

 Day 4                  Day 4  Day 4
  The student will come in the next day and take a “checking in” so the teacher and student can see where they are on their understanding of the concept. The teacher will give a few practice problems either on a sheet of paper or within a technology tool  Learning Management System (LMS):  Google, Edmodo, and/or Haiku for online learning

The student will then reflect on the problems they got wrong by doing the following:

a. They will go over the steps making sure they followed each step.

b. Collaborate with a peer to talk about how to work the problems.

c. They will meet with the teacher in small groups.

 

Differentiation: Have students that are having trouble with the concept to draw pictures of what they think the fraction addition problem will look like. You can check for understanding with this activity. As a teacher you can also have drawings on hand to help those that learn better with visuals.

The teacher will have the students to recall the steps for adding fractions in small groups or one-on-one with the teacher.The teacher will provide differentiation through drawings for the visual learners.  Customized list
 Day 5 Day 5  Day 5
The student will work on their 3-2-1 with a partner and collaborate on what they are going to compare the concept to. The teacher will organize groups for completing a 3-2-1 Bridge using fractions and explain how to apply the thinking routine.   Making Thinking Visible 
The student will present their final 3-2-1 to the class in a Google Doc. The teacher will give feedback to the students. When they have a final product the student can find a picture that will work 3-2-1 bridge

Lesson Closure

Show the students a 3-2-1 bridge thinking routine.  Let them know that they will create one since they have learned about fractions within this lesson. Students will create and share the final product of their 3-2-1 Bridge with the class on a Google Doc;  some will present to the class, and others will display their work in the classroom. The students will also take a test on the concept.

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Click on image to enlarge

Example: 

Assessment

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The 3-2-1 Bridges are assessed for creativity and understanding of the concept well enough to pick an “out-of-the-box” concept to compare to adding fractions. When they present the 3-2-1 Bridge are they able to explain why they wrote what they wrote.

Student Sample

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Click on the image to enlarge

Teacher Reflection

321 bridge

 

Author Profile: 

Windy May

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References:

Puzzle image source: http://imgkid.com/2-puzzle-piece-image.shtml

Superman image source: http://www.toptenz.net/top-10-alter-egos.php

Chameleon image source: http://www.lizardtypes.com/chameleon-pictures/