Mathematics Class VII Topic; VISUALISING SOLID SHAPES




        SUBJECT  : MATHEMATICS
         CLASS   : 7
         TOPIC  :  VISUALISING SOLID SHAPES
Project Based Learning
1.Project Plan
(1.1)The Define Phase :   Visualising solid shapes – The net for building 3D shapes & viewing different sections of a solid
(1.11)Introduction:
·   Write a statement describing the overall purpose of the project.
·   What is the key challenge or problem the project is aiming to address?
·   What are students intended to learn from the project?

The project is intended to allow students of class 7 to explore the following facts :
(I)                 2D figures & 3D objects
(II)               Faces , Edges & Vertices of 3D shapes
(III)             The net for building 3D shapes
(IV)            Oblique & Isometric sketches
(V)               Viewing of different sections of a solid in different ways
(a) Cross section – Slicing / cutting
(b) Shadows
(c) Front / Side /Top views



(1.12)Project Scope:
            Describe the scope of your project. This may include class and section, subjects it covers, self shills to be used etc. as well as other factors affecting scope.
Students of class 7
Subject :  Mathematics
Students differentiate between 2D figures & 3D shapes ; get acquainted with the number of faces , edges & verticesof 3D shapes ; gain knowledge about the net for building 3D shapes ; be able to understand what oblique & Isomeric sketches are & be able to view objects in different ways & demonstrate the same






(1.13) Curriculum and Standards:
            List the curriculum and standards this project with cover.
        Class 7 Mathematics
        Visualising Solid Shapes

 Project Based Learning

Lesson 2
2.1 Essential Question: 
Put in writing the question that will engage the students
Differentiate between 2D figures & 3D objects
How to form 3D objects
Faces, Edges & Vertices of solid shapes
How to visualise 3D objects

2.2 Grouping Strategy:
            Describe the criteria that will be used to form students team and how this maps to the goals of the project.
The students of class 7 B are divided into six groups with 9 members in each group. They discuss , interact with each other , prepare PPT & models required for the presentation. All their ideas are put together as a team presentation
2.3 Learning Environment:
            Describe the learning environment for the project including any classroom adaptation that will be required.
Different figures & shapes are given for differentiating as 2D & 3D  , different ways of viewing solids used in daily life situations is put forward , so that students analyse the need & acquire knowledge on the topic
2.4Assessment Approach:
                Describe the approach for:
                2.41 Authentic Assessment:
--  Use of models/ net for building the 3D shapes
-- PPT to demonstrate Isometric & Oblique sketches / Faces , Vertices & Edges of solids / Shadows of objects
-- Shadow play
-- Objects to demonstrate the front / side & top views        
           


2.42 Formative Assessment:
Feedback from students will be collected
           

Assessment done using questionnaire          
2.43 Summative Assessment:


2.44 Rubrics:
SL NO:
DESCRIPTORS
SCORE
1
Understanding / knowledge depth of the topic
2
2
Applying the concept in explanation
2
3
Critical thinking / Creativity
2
4
Presentation
2
5
Use of ICT/Models
2
TOTAL

10
           

2.45 Gradings:
Grades are allotted for each task & assessed cumilatively   
 Project Based Learning

Sample – Lesson 3
Plan Phase
3.1 Work Breakdown, Products and Milestones:
            List the project task and, if possible at this stage include the sub-tasks. For each task add the product that will be created and indicate it will be a milestone.
Project task : “ Visualising Solid Shapes”
Sub tasks : (i) Introduction to solid shapes
(ii) Differentiate between 2D & 3D
(iii) Explain what are faces/edges/vertices of 3D
(iv) applying the concept of faces/edges/vertices to find the number of faces/edges& vertices different 3D shapes posses
(v) Analyse the net for building 3D shapes & make the net
(vi) Analyse the difference between Oblique & Isometric sketches
(vii) activity to view different sections of a solid in different ways
(a)    Cross section – slicing / cutting
(b)    Shadow Play
(c)     Front/side/top views
(viii) PPT on related topics
(ix) Research – NCERT class 7 Text book, Internet , Library


3.2 Role definition:
            List the roles team members will fulfill in the project.
Project Leader : Teacher In  Charge – Mrs. MANJU S NAIR
Project Co- Ordinators : AYSWARIA GOPAN, BHAVANA,VISMAY NAIR,ANJANA PRIYA,TEERTHA RAJ V & RISHABH S

3.3 Task schedule:
            Note start and end dates for the project.
                Include expected dates to start specific tasks
Starting Date : 07.11.2016
Finishing Date : 02.12.2016

3.4Special Activities Plan:
                List any special activities (e.g. Field trips or guest speakers) including dates.
(i)                  Activities --  (a) To show net for building 3D shapes  (b) Viewing different sections of a solid in different ways
(ii)                Exhibition on the models prepared for the project execution
           
3.5Resource Plan:
List resource that will be required during the project and any other date constraints associated with them.
Resource: Models , PPT , Internet ,Library NCERT Text book

3.6 Direct Instruction:
List any planned direct instruction sessions and link them to specific tasks if appropriate.
Class session for introducing the topic , demonstration of activities related to the topic , briefing of project execution

3.7 Reviews and checkpoints:
                Describe how you will incorporate review meetings and checkpoints in the project
Review meetings will be done weekly once , where a report by the group leader will be presented on the progress of the work assigned to them

3.8 Assessment plan:
            Describe the balanced assessment plan for the project. List products that will be assessed during the project. List rubrics that need to be created before project launch.
SL NO:
DESCRIPTORS
SCORE
1
Understanding / knowledge depth of the topic
2
2
Applying the concept in explanation
2
3
Critical thinking / Creativity
2
4
Presentation
2
5
Use of ICT/Models
2
TOTAL

10
           


 Work plan-Lesson 4

Prepare work plan in the format given below.
Sl No:
Task
Sub Task
Role
Starting Date
Ending Date
Product
1
Launch Project


07.11.16
07.11.16
Project launched
2
Deliver classroom instruction
Defining the project
Teacher
07.11.16
07.11.16
Instruction regarding the doing of the project given
3
Group Selection
Selection of group leaders & members
Teacher
07.11.16
07.11.16
Group division / group leader selection completed
4
Content preparation
Introduction to the topic
Net for building 3D
Views of objects in different ways
Student
08.11.16
18.11.16
Students prepre the content for presentation of project
5
PPT
Preparation of PPT relevant to the topic presentation
Student
18.11.16
22.11.16
PPT for topics prepared
6
Preparation of questionnaire
Prepare questionnaire from self  analisation  & peer group
Each member
22.11.16
24.11.16
Questions prepared
7
Project presentation
Presentation of project with PPT & models
Student
25.11.16
02.12.16
Project presented
8
Assessment
Prepare Rubrics for assessment
Teacher
25.11.16
02.12.16
Rubrics prepared & assessment done
9
Exhibition
Conduct exhibition of the models and other materials used for the project presentation
Students
02.12.16
02.1.16
Exhibition conducted
10
Reflection
Reflection by peer group
Student
05.12.16
05.12.16
Peer groups gave reflections of each group
11
Project submission
To the blog
Teacher
05.12.16

Presentation will be done

 The Do Phase

(5.1) Project Launch:
                Describe how the project will be launched, including how goals, expectation, rules, procedures, assessment, and grading will be presented to the students.
The project will be launched in class 7B after explaining the concept that is to be dealt with. The goal of the project is to explore the concept through activities. Hands on activities along with PPT & explanations transform the content to concrete base for learning the concept. It is expected that the students develop a positive attitude & aptitude towards the subject. Assessment is done according to the Rubrics given.
(5.2) Artifacts: List artifacts that will be created during the project
(i)                  Starting off session: Differentiate between 2D/3D
(ii)                Planning the project: Discussion on the relevant sib topics for the topic “ Visualising Solid Shapes”
(iii)               Group Selection: Selection of group leaders & division of sub tasks for the members
(iv)               Description log: To be maintained
(v)                Review meeting reports to be maintained
(vi)               PPT: Presentation on relevant topics
(5.3) Culminating product: Describe what culminating product or products are expected to be created during the project and how they will be presented.
·         Understand the basic difference between 2D figures & 3D objects
·         Gain knowledge about the net for building 3D shapes
·         Understand the number of faces,edges& vertices of different 3D objects
·         Understand what Isometric & Oblique sketches are
·         To be able to view objects in different ways & demonstrate the same
·         Preparation of PPT
·         Preparation of models

Project Plan - Lesson 6

The Review Phase (6.1)Student Reflection and Evaluation:

                Describe how student reflection and evaluation will be conducted.
Reflection of students to:
·         Allow them to see the significance of their own learning process/ technique
·         Identify the areas of strength,short comings , necessary additions & deletions
·         Bring about strategies to rectify the short comings
·         Motivate students to make learning a better experience than before
·         Analyse the need to learn these concepts
·         Apply the concepts learnt in real life situations
·         Think critically
Student reflection at 4 levels: Reflection questionnaire
(a)    Before learning
(i)                  Level of awareness of the topic before the start of the project
(ii)                Has there  been any improvement?
(iii)               If not in which ways do you think you need to improve?
(iv)               What type of resource is used for the completion of the project?
(b)    While learning
(i)                  Your perception about the project
(ii)                Which groups presentation did you like the best?
(iii)               Dislike for any presentation? , if so explain why?
( c) After learning
(i)                  Whether the standards of the project is achieved? If not explain the short comings
(ii)                If you were the teacher , what comments would you give for the presentations?
(iii)               Explain whether a third person would understand your presentation? & what would be their perception about you?
(d ) Student moving forward
(i)                  Give one aspect where you can improve upon
(ii)                If given one more chance to do the work, enumerate the changes that would be implemented
(iii)               Enumerate your qualities that you want your teacher to know  about you
(6.2) Teacher Reflection and Evaluation: Describe how teacher reflection and evaluation will be conducted.
Valuing reflection: Teacher helps the students to moniter their progress
Setting the tone of reflection: Teacher  helps the students to ask questions themselves of their learning outcomes from the project ; whether they have achieved the required learning outcome?
Guiding the students: Teacher guides the student reflection by discussion & questionnaire
Modeling reflection: Teacher provides role models from history & immediate suroundings
Evaluation: Documents the reflections of students  in depth with specific reference to learning process , Providing examples , making integrated learning , Discussing modifications needed
(6.3) Assessment of 21st Century skills: List of 21st century skills in this project and its assessment
·         Comparison of information from different sources
·         Drawing conclusions from information gathered
·         Critical thinking of the concept
·         Answering questions needing explanations
·         Feedback  for  the assessment of work done by peer group
·         Transferring of ideas through PPT , reports , videos etc
·         Answering relevant questions in front of audience
·         Generate own ideas
·         Team work
·         Creativity & confronting new challenges

– Lesson 7

The Manage Phase

(7.1) Process Management: List tasks that will be used to manage the process of conducting the learning
·         The starter questions to draw attention of students to specific contents of learning task
·         Forming groups with leaders , Set goals for the work , Brief the goals & go for next step
·         Once the plan is set , instruction can be given at each step for the implementation of the project
·         Students are given power to explain & teach the content
·         Formative assessment of work ensuring accountability & feed back for improvement on short comings
·         Time management
·         Check on the track of process , not allowing to deviate from the intended one , by asking the driving question frequently
·         Keep a checklist of the required achievement
·         Use of social media
(7.2) Student Preparation:  Describe how students will be prepared for the project prior to launch. List any specific instruction or tasks that will be needed
·         The starter question would trigger curiosity among the students on the content to be learnt
·         By generating questions , would help to carry forward the project
·         Built  a positive stroke in students so that they have a feeling that “ I can do “ & hence create a positive attitude & aptitude towards the subject
(7.3)  Facilitation:  Describe how facilitation of resources will be used to enable the students to be successful.
NCERT Maths text book class 7 &6 ,Library , internet , Advice from subject experts
(7.4) Progress Monitoring:  Describe how program will be monitored throughout the project.
Review report by groups once in a week



·         Review report by Group leaders
·         Formative assessment to check specific tasks of students
·         Parameters in rubrics to check team work , coordination , leadership etc
Group Progress


  

      Individual    Progress
Formative assessment , teacher / student reflections to discuss the outcomes
(7.5) Re-planning:   Describe how‘re-planning’ will be used if the project goes off track
·         Make sure that each group presents the topic assigned very briefly
·         Check day wise progress of work to see that they do not go off track
·         Review meetings with group leaders
·         Check on time management
(7.6) Conflict Management:  Describe how to address problems related to participation, offer approaches to manage other conflicts that may arise.
·         See that each member of the group is assigned some work to be presented before the audience
·         Involvement of all students to be monitored , it may otherwise affect the desired outcome
·         Group leaders not to act single handed , help others & should adjust with other member

PHOTOS OF THE EXHIBITION CONDUCTED  

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