L5+Hardy,+Meng

**COLLEGE OF EDUCATION, HEALTH AND REHABILITATION **
 * **UNIVERSITY OF MAINE AT FARMINGTON **

**LESSON PLAN FORMAT **


 * __Teacher’s Name __****: ** Mrs. Hardy **__Lesson #:__** 5 **__Facet:__** Application

 **__Grade Level__:** 8 **__Numbers of Days:__** 2

 **__Topic:__** Volumes of cones, cylinders, and spheres

 **__PART I:__**

 **__Objectives__**

 Student will understand that the volumes of cones, cylinders, and spheres could be applied to real-world situations.

 Student will know in real life volumes of cones, cylinders, spheres could be important.

 Student will be able to do solve mathematical problems using the formulas of volumes of cones, cylinders, and spheres.

 Product: Prezi

 **__Maine Learning Results (MLR) or Common Core State Standards (CCSS) Alignment__**

 Common Core State Standards

<span style="font-family: 'Times New Roman','serif';"> Content Area: Mathematics

<span style="font-family: 'Times New Roman','serif';"> Grade Level: 8th Grade

<span style="font-family: 'Times New Roman','serif';"> Domain: Geometry

<span style="font-family: 'Times New Roman','serif';"> Cluster: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

<span style="font-family: 'Times New Roman','serif';"> Standard: 9. Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

<span style="font-family: 'Times New Roman','serif';"> **Rationale:** I am meeting the standard by showing the students how to solve mathematical problems using volume formulas of cones, cylinders, and spheres.

<span style="font-family: 'Times New Roman','serif';"> **__Assessments__**

<span style="font-family: 'Times New Roman','serif';"> **__Formative (Assessment for Learning)__**

<span style="font-family: 'Times New Roman','serif';"> **Section I – checking for understanding during instruction**

<span style="font-family: 'Times New Roman','serif';"> I will use the "3-2-1" strategy to check students' understanding on applying the volume formulas of cones, cylinders, and spheres.

<span style="font-family: 'Times New Roman','serif';"> **Section II – timely feedback for products (self, peer, teacher)**

<span style="font-family: 'Times New Roman','serif';"> Students will work on a "tree chart" to summarize the use of volume formulas of cones, cylinders, and spheres. Then students will compare their "tree charts" within a group. Students will each fill out a checklist to assess their Prezi, and they will talk about their Prezi with the partner. I will give students oral feedback on their project while they are working on it, then I will give the students written feedback after they submit it on the class wiki.

<span style="font-family: 'Times New Roman','serif';"> **__Summative (Assessment of Learning):__**

<span style="font-family: 'Times New Roman','serif';"> Students will create a Prezi to show the application of volume formulas of cones, cylinders, and spheres in mathematical problems. Students will make up their own mathematical problems and solve them.

<span style="font-family: 'Times New Roman','serif';"> **__Integration__**

<span style="font-family: 'Times New Roman','serif';"> **Technology:**

<span style="font-family: 'Times New Roman','serif';"> Prezi

<span style="font-family: 'Times New Roman','serif';"> This is type II technology because allow students to present their product on the internet and share with a wide audience. Also, Prezi allows students to enrich their product with video or audio clips.

<span style="font-family: 'Times New Roman','serif';"> **Content Areas:**

<span style="font-family: 'Times New Roman','serif';"> English: Students will explain their math work in their own words.

<span style="font-family: 'Times New Roman','serif';"> Music: Students can include music in their product.

<span style="font-family: 'Times New Roman','serif';"> Art: Students will be encouraged to include graphs in their product.

<span style="font-family: 'Times New Roman','serif';"> **__Groupings__**

<span style="font-family: 'Times New Roman','serif';"> **Section I - Graphic Organizer & Cooperative Learning used during instruction**

<span style="font-family: 'Times New Roman','serif';"> Students will choose a partner on their own and work on the "tree chart" together.

<span style="font-family: 'Times New Roman','serif';"> **Section II – Groups and Roles for Product**

<span style="font-family: 'Times New Roman','serif';"> Students will work in pair on their Prezi product. Each student will be in charge of half of the project, the math problems, solutions, and graphs, videos, music, or audios that goes with the problems.

<span style="font-family: 'Times New Roman','serif';"> **__Differentiated Instruction__**

<span style="font-family: 'Times New Roman','serif';"> **__MI Strategies__**

<span style="font-family: 'Times New Roman','serif';"> **Verbal-Linguistic**: I can have students make up their own word problems to see where they might need help to better their understanding of applying the formulas of volumes of cones, cylinders, and spheres.

<span style="font-family: 'Times New Roman','serif';"> **Logical/Mathematical**: I will relate the formulas of volumes of cones, cylinders and spheres to the formulas of areas of circles and rectangles and their applications to make students understand better.

<span style="font-family: 'Times New Roman','serif';"> **Visual/Spatial**: By accompanying the word problems with drawings and graphs, I will help students to better understand how to apply the formulas.

<span style="font-family: 'Times New Roman','serif';"> **Bodily/Kinesthetic**: I have students make up word problems utilizing formulas of volumes of cones, cylinders and spheres and sports (equipments, balls, or stadiums, etc.)

<span style="font-family: 'Times New Roman','serif';"> **Musical/Rhythmic**: I will relate the formulas of volumes of cones, cylinders and spheres to musical instruments to make students more interested.

<span style="font-family: 'Times New Roman','serif';"> **Naturalist**: I will relate the formulas to natural objects like trees or fish tanks to have students visualize and understand the application of formulas of volumes of cones, cylinders and spheres**.**

<span style="font-family: 'Times New Roman','serif';"> **__Modifications/Accommodations__**

<span style="font-family: 'Times New Roman','serif';"> **//From IEP’s ( Individual Education Plan), 504’s, ELLIDEP (English Language Learning Instructional Delivery Education Plan)//** //I will review student’s IEP, 504 or ELLIDEP and make appropriate modifications and accommodations.//

<span style="font-family: 'Times New Roman','serif';"> **Plan for accommodating absent students:**

<span style="font-family: 'Times New Roman','serif';"> Students can check on the class wiki to review the class material and activities. Students can try the "hook" activity at home, print out the "tree chart" to fill out, and call their peer support buddy to work on their Prezi project. After students have done the above, they can reach me via phone or email to ask questions regarding the lesson.

<span style="font-family: 'Times New Roman','serif';"> If a student is absent for a long period of time, I will make sure there is a file with class material and handouts for the student. And the student can still use class wiki, check in with peer buddy, work on his/her Prezi with a partner, and seek help from me.

<span style="font-family: 'Times New Roman','serif';"> **__Extensions__**

<span style="font-family: 'Times New Roman','serif';"> **Type II technology:**

<span style="font-family: 'Times New Roman','serif';"> Prezi

<span style="font-family: 'Times New Roman','serif';"> This is type II technology because allow students to present their product on the internet and share with a wide audience. Also, Prezi allows students to enrich their product with video or audio clips.

<span style="font-family: 'Times New Roman','serif';"> **Gifted Students:**

<span style="font-family: 'Times New Roman','serif';"> Gifted students will be encouraged to make up real-life applications of the volume formulas of cones, cylinders, and spheres to include in their Prezi, and also more video clips or any other forms of added features they wish to use to demonstrate the course materials better.

<span style="font-family: 'Times New Roman','serif';"> **__Materials, Resources and Technology__**

<span style="font-family: 'Times New Roman','serif';"> //List all the items you need for the lesson.//
 * <span style="font-family: 'Times New Roman','serif';">projector
 * <span style="font-family: 'Times New Roman','serif';">lined paper
 * <span style="font-family: 'Times New Roman','serif';">laptops
 * __<span style="font-family: 'Times New Roman','serif';">Source for Lesson Plan and Research __**

<span style="font-family: 'Times New Roman','serif';"> //List all URL and describe.//
 * <span style="font-family: 'Times New Roman','serif';"> Prezi : The homepage for Prezi where you can create an account for free and start creating.
 * <span style="font-family: 'Times New Roman','serif';"> Learn-Prezi : This is the place where you can learn how to use Prezi as a beginner, or when you already have some experience with Prezi. A great resource to check back on whenever you need help or inspiration.
 * <span style="font-family: 'Times New Roman','serif';"> Volume of a Cone : Students can practice the use of volume formula at this site. Also there are other links and resources based on grade level or subjects.
 * <span style="font-family: 'Times New Roman','serif';"> Volume of a Cylinder : This is part of the AAAmath.com where there are drills that students can practice the application of the volume formula. Would be a great quick-quiz source. Students get instant feedback.
 * <span style="font-family: 'Times New Roman','serif';"> Volume of a Sphere : Drills for practice. Students can also report their total via e-mail to the teacher.

<span style="font-family: 'Times New Roman','serif';"> **__PART II:__**

<span style="font-family: 'Times New Roman','serif';"> **__Teaching and Learning Sequence__ (Describe the teaching and learning process using all of the information from part I of the lesson plan)** //Take all the components and synthesize into a script of what you are doing as the teacher and what the learners are doing throughout the lesson. Need to use all the WHERETO’s. (3-5 pages)//

<span style="font-family: 'Times New Roman','serif';"> There will be summarized agenda and assignments for each class on class wiki.

<span style="font-family: 'Times New Roman','serif';"> Definitions, pictures and graphs needed for this class will be on class wiki for use in class with a projector.

<span style="font-family: 'Times New Roman','serif';"> There will also be class notes on class wiki.

<span style="font-family: 'Times New Roman','serif';"> Day 1:

<span style="font-family: 'Times New Roman','serif';"> (10 minutes) There will be word problems utilizing formulas of volumes of cones, cylinders and spheres relating to the real life displayed on the projector when students first arrive. Then I will explain that learning the formulas is for using it in real life setting sometime, not just for tests.

<span style="font-family: 'Times New Roman','serif';"> (5 minutes) Students will get their journals back and I will take any questions they have regarding the written feedback I give them.

<span style="font-family: 'Times New Roman','serif';"> (5 minutes) Students will each get a "tree chart" and filling it out with ideas they have that the situations where th//e// volume formulas of cones, cylinders, and spheres could be used.

<span style="font-family: 'Times New Roman','serif';"> (10 minutes) Students will get into "suit" groups based on the card they have from Lesson 4. Within each group, students will compare their "tree chart" to come up with a list of situations where the volume formulas could be used.

<span style="font-family: 'Times New Roman','serif';"> (5 minutes) We will make a list as a class. I will put the list on Google Doc, so each group can add their list onto the class list.

<span style="font-family: 'Times New Roman','serif';"> (5 minutes) I will give examples based on a couple of the situations on Google Doc and make them into math problems. The students and I can solve the questions together. I will use "3-2-1" strategy to check students' understanding on making and solving mathematical volume formula problems.

<span style="font-family: 'Times New Roman','serif';"> (15 minutes) Each group of the students will each create a collection of problems, and they have to solve the problems to make sure the problems are workable. Then the students can submit the collection onto class wiki. Then submit their answer keys to me via e-mail with credits of the creator and solver of each problem included.

<span style="font-family: 'Times New Roman','serif';"> (20 minutes) We will start work on creating an account on Prezi and exploring Prezi on his/her own.

<span style="font-family: 'Times New Roman','serif';"> (5 minutes) Students will write in their reflection journal as the exit ticket.

<span style="font-family: 'Times New Roman','serif';"> Assignment: Students will get on class wiki and solve one other group's collection of problems they created in class. Students are supposed to write down their math work and answer and bring them to class for Day 2.

<span style="font-family: 'Times New Roman','serif';"> Students can experiment on Prezi some more.

<span style="font-family: 'Times New Roman','serif';"> Day 2:

<span style="font-family: 'Times New Roman','serif';"> (10 minutes) Students will get into three groups that are based on the card suits they have. At each center, students will trade their homework with the person sitting on their left, and peer correcting the answer. There will be answer keys on the table for each collection of problem. Students will trade back their own homework, and ask clarifying questions within the group.

<span style="font-family: 'Times New Roman','serif';"> (10 minutes) I will take any questions from the students regarding the homework. Then I will collect the homework.

<span style="font-family: 'Times New Roman','serif';"> (25 minutes) Students can work on their Prezi, while I take a record of their homework. Then I will pass the homework back and walk around the room answering questions. Students will have a checklist to assess their own Prezi.

<span style="font-family: 'Times New Roman','serif';"> (5 minutes) If there's any question that multiple students have, then I will get the class's attention and address those questions and take any questions as a class.

<span style="font-family: 'Times New Roman','serif';"> (20 minutes) Students can continue work on their Prezi. And if anyone finishes early, they can submit it to class wiki. And they can either go back to previous assignments to fix them or look ahead to start exploring in iMoive.

<span style="font-family: 'Times New Roman','serif';"> (10 minutes) Students will write in their reflection journals and hand them in.

<span style="font-family: 'Times New Roman','serif';"> Assignment: Students will finish their Prezi and submit them to class wiki.

<span style="font-family: 'Times New Roman','serif';">The tables will be arranged in groups of three for the ease of group work.

<span style="font-family: 'Times New Roman','serif';"> Students will understand that the volumes of cones, cylinders, and spheres could be applied to real-world situations. //Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems.// The "hook" of this lesson explains the reason why we need to know the formulas of volumes of cones, cylinders, and spheres. There will be word problems utilizing formulas of volumes of cones, cylinders and spheres relating to the real life displayed on the projector when students first arrive. Then I will explain that learning the formulas is for using it in real life setting sometime, not just for tests.

<span style="font-family: 'Times New Roman','serif';"> **Where, Why, What, Hook, Tailors:** **verbal, logical, visual**

<span style="font-family: 'Times New Roman','serif';"> Students will know how to apply the formulas of volumes of cones, cylinders, and spheres when solving mathematical problems. Students will use the "tree chart" to summarize when to use the formulas of volumes of cones, cylinders, and spheres, then get into groups to have a discussion. We will use "3-2-1" strategy to check students understanding on applying the formulas of volumes of cones, cylinders, and spheres to mathematical problems. Students will use checklists to self-assess, and then reflect on the course materials in their journals.

<span style="font-family: 'Times New Roman','serif';"> **Equip, Explore, Rethink, Revise, Tailors:** **visual, interpersonal, intrapersonal, logical**

<span style="font-family: 'Times New Roman','serif';"> Students will be able to work in "suit" groups to make a list of mathematical problems that involve the volume formulas of cones, cylinders, and spheres. Students will work on their own to create a Prezi featuring their choices of mathematical problems of volume formulas. Students will self-assess their own Prezi with a checklist, and I will give them instant, verbal or written feedback while they are making the Prezi.

<span style="font-family: 'Times New Roman','serif';"> ** Explore, Experience, Revise, Refine, Tailors: intrapersonal, interpersonal, linguistic, logical, visual **

<span style="font-family: 'Times New Roman','serif';"> Students will reflect their understanding of the mathematical applications of the volume formulas of cones, cylinders, and spheres on their own using a "tree chart." Then they will get into "suit" groups to compare their "tree charts." I will use the "3-2-1" strategy to check students' understanding. Students will make reflection journal entries to give me feedback on my teaching and letting me know their understanding. I will also ask for clarifying questions throughout the classes. Students will self-assess their Prezis against a checklist. I will provide verbal or written feedback on their Prezis before they submit them onto class wiki.

<span style="font-family: 'Times New Roman','serif';"> **Evaluate, Tailors:** **logical, intrapersonal, interpersonal, visual, linguistic**

<span style="font-family: 'Times New Roman','serif';"> **__Content Notes__**

<span style="font-family: 'Times New Roman','serif';"> //Develop detailed content notes so a substitute or a colleague can teach your lesson. (2-3 pages)//

<span style="font-family: 'Times New Roman','serif';"> Students will know how and when to apply the volume formulas of cones, cylinders, and spheres in mathematical and real-life problems.

<span style="font-family: 'Times New Roman','serif';"> Students will be prompted to related previous lessons to this new lesson. Think back to all the real-life applications of the shape of cones, cylinders, and spheres we discussed, then I will ask the students what we need to do to find out the volumes of those real life applications. They may be ice cream cones, a soup can, or a traffic cone. The trick is to know what shape it is and apply the specific volume formula after we know or take the measurements of the object. This is why we need to know the volume formulas and how to use them.

<span style="font-family: 'Times New Roman','serif';"> Before we take the volume formulas too far into the real world, we will practice how to use them to solve straight mathematical problems with the shapes, measurements already given. See formulas and sample mathematical problems in attachment.

<span style="font-family: 'Times New Roman','serif';"> **__Handouts__**

<span style="font-family: 'Times New Roman','serif';"> //List the items that need to be printed out for the lesson.//
 * <span style="font-family: 'Times New Roman','serif';">Tree chart
 * <span style="font-family: 'Times New Roman','serif';">checklist for Prezi


 * __Maine Common Core Teaching Standards for Initial Teacher Certification and Rationale__**


 * //Standard 1 – Learner Development. The teacher understands how learners grow and develop, recognizing that patterns of learning and development vary individually within and across the cognitive, linguistic, social, emotional, and physical areas, and designs and implements developmentally appropriate and challenging learning experiences.//**


 * //__Learning Styles__//**


 * //Clipboard://** This lesson is well organized based on sequential learning. With the agenda and assignments posted on class wiki, students will know what is expected of them.


 * //Microscope://** This class focuses on group and class discussions to furthur students' understanding of the application of the volume formulas of cones, cylinders, and spheres.


 * //Puppy://** This lesson offers a lot chances for group works and peer support for students to feel included and engaged.


 * //Beach Ball://** There are plenty of chances for students to move about the room to work with different of groups.


 * //Rationale://** This lesson is designed to suit all different learning styles to engage students and keep them exploring and learning.


 * //Standard 6 -// //Assessment. The teacher understands and uses multiple methods of assessment to engage learners in their on growth, to monitor learner progress, and to guide the teacher's and learner's decision making.//**


 * //Formative://** We use "3-2-1" strategy to check students understanding during class. Students will work on a "tree chart" to summarize the use of volume formulas of cones, cylinders, and spheres. Then students will compare their "tree charts" within a group. Students will write in their journals to do reflections for me to check their understanding.


 * //Summative://**

Students will each fill out a checklist to assess their Prezi, then they will talk about their Prezi with the partner. I will give students oral feedback on their project while they are working on it, then I will give the students written feedback after they submit it on the class wiki.


 * //Rationale://** There are plenty chances for me to check students' progress and adjust my teaching in this lesson to suit students' skills, paces, and understanding.


 * //Standard 7// - //Planning Instruction. The teacher plans instruction that supports every student in meeting rigorous learning goals by drawing upon knowledge of content areas, curriculum, cross-disciplinary skills, and pedagogy, as well as knowledge of learners and the community context.//**


 * //Content Knowledge://**


 * //MLR or CCSS://**

Common Core State Standards

Content Area: Mathematics

Grade Level: 8th Grade

Domain: Geometry

Cluster: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Standard: 9. Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

In order for the students to be able to use the volume formulas to solve mathematical problems, we will practice making and solving mathematical problems as individuals and groups. //** Facet: **// Application. Students should be able to create and solve mathematical problems involving volume formulas of cones, cylinders, and spheres.

<span style="font-family: 'Times New Roman','serif';"> **//Standard 8 -// //Instructional Strategies. The teacher understands and uses a variety of instructional strategies to encourage learners to develop deep understanding of content areas and their connections, and to build skills to apply knowledge in meaningful ways.//**

<span style="font-family: 'Times New Roman','serif';"> **//MI Strategies://**

<span style="font-family: 'Times New Roman','serif';"> **Verbal-Linguistic**: I can have students make up their own word problems to see where they might need help to better their understanding of applying the formulas of volumes of cones, cylinders, and spheres.

<span style="font-family: 'Times New Roman','serif';"> **Logical/Mathematical**: I will relate the formulas of volumes of cones, cylinders and spheres to the formulas of areas of circles and rectangles and their applications to make students understand better.

<span style="font-family: 'Times New Roman','serif';"> **Visual/Spatial**: By accompanying the word problems with drawings and graphs, I will help students to better understand how to apply the formulas.

<span style="font-family: 'Times New Roman','serif';"> **Bodily/Kinesthetic**: I have students make up word problems utilizing formulas of volumes of cones, cylinders and spheres and sports (equipments, balls, or stadiums, etc.)

<span style="font-family: 'Times New Roman','serif';"> **Musical/Rhythmic**: I will relate the formulas of volumes of cones, cylinders and spheres to musical instruments to make students more interested.

<span style="font-family: 'Times New Roman','serif';"> **Naturalist**: I will relate the formulas to natural objects like trees or fish tanks to have students visualize and understand the application of formulas of volumes of cones, cylinders and spheres**.**


 * //<span style="font-family: 'Times New Roman','serif';">Type II Technology: //**

<span style="font-family: 'Times New Roman','serif';"> Prezi

<span style="font-family: 'Times New Roman','serif';"> This is type II technology because allow students to present their product on the internet and share with a wide audience. Also, Prezi allows students to enrich their product with video or audio clips.

<span style="font-family: 'Times New Roman','serif';"> **//Rationale://** Class materials are being presented to the students in many different ways to keep the students engaged and help their understanding. Then students can show what they learned regarding the volume formulas of cones, cylinders, ans spheres in this lesson in a Prezi to include any materials they choose and be able to share their product on the class wiki and on Prezi.com

<span style="font-family: 'Times New Roman','serif';"> **//__NETS STANDARDS FOR TEACHERS__//**

<span style="font-family: 'Times New Roman','serif';"> **1. Facilitates and Inspire Student Learning and Creativity. Teachers use their knowledge of subject matter, teaching and learning, and technology to facilitate experiences that advance student learning, creativity, and innovation in both face-to-face and virtual environments.**

a. Promote, support, and model creative and innovative thinking and inventiveness

b. Engage students in exploring real-world issues and solving authentic problems using digital tools and resources

<span style="font-family: 'Times New Roman','serif';"> c. Promote student reflection using collaborative tools to reveal and clarify students’ conceptual understanding and thinking, planning, and creative processes

<span style="font-family: 'Times New Roman','serif';"> d. Model collaborative knowledge construction by engaging in learning with students, colleagues, and others in face-to-face and virtual environments

<span style="font-family: 'Times New Roman','serif';"> **//Rationale://** Utilizing type II technology, Prezi, students are encouraged to created and solve mathematical and real-life problems using volume formulas of cones, cylinders, and spheres.

<span style="font-family: 'Times New Roman','serif';"> **2. Design and Develop Digital Age Learning Experiences and Assessments. Teachers design, develop, and evaluate authentic learning experiences and assessment incorporating contemporary tools and resources to maximize content learning in context and to develop knowledge, skills, and attitudes identified in the NETS-S.**

a. Design or adapt relevant learning experiences that incorporate digital tools and resources to promote student learning and creativity

<span style="font-family: 'Times New Roman','serif';"> b. Develop technology-enriched learning environments that enable all students to pursue their individual curiosities and become active participants in setting their own educational goals, managing their own learning, and assessing their own progress

<span style="font-family: 'Times New Roman','serif';"> c. Customize and personalize learning activities to address students’ diverse learning styles, working strategies, and abilities using digital tools and resources

d. Provide students with multiple and varied formative and summative assessments aligned with content and technology standards and use resulting data to inform learning and teaching

<span style="font-family: 'Times New Roman','serif';"> **//Rationale://** Peer, teacher assessing, oral and written feedback are just some strategies are being implemented in this lesson for the teacher to assess students learning and adjust teaching strategies. Using Prezi makes learning fun and appealing to the students, so each individual could be engaged in his/her own learning. ||  ||   || About · Blog · [|Pricing] · Privacy · Terms · [|**Support**] · [|**Upgrade**] Contributions to http://edu221spring11class.wikispaces.com are licensed under a [|Creative Commons Attribution Share-Alike 3.0 License].
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