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Experience a Mock PBL

Orchard STEM School

January 8, 2018

Dr. Kate O’Hara

Cindy Giulivo

Notes for speakers (slides and notes will be printed and handed to each facilitator in the morning!!)

times are listed to fit within an 1 hour and 50 min, must get started at 9:00 by the latest, this gives the teachers ~40 min to work on the activities
This slideshow is posted on the Orange School Webpage under Staff Resources (you may need to announce this)
You will need to release teachers to the auditorium at 11:00
2-3 teachers in each group went through this PBL in the PBL 101 training in Orange

(2 min)

You are participating in a mock PBL as if you are students in a high school geometry class. The goal is for you to experience PBL as a student and understand as a teacher how it can drive student engagement and achievement. Those of you that were in PBL 101 this past year have experienced this particular mock PBL and I am counting on you to help guide your colleagues and answer questions as they come up. Feel free to add anything that I may miss as we go through this.

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Objectives

Teachers will engage in a mock PBL in order to begin to understand

PBL as a learning process not a culminating event
How PBL provides an avenue for teachers to embed targeted or differentiated instruction
PBL is teaching content with a purpose
PBL provides an avenue for motivation and engagement

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Timeline for the project

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

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Intro to Origami

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

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Some uses for origami

https://www.youtube.com/watch?v=fYf7nReaGPw

Origami in space

Origami in medicine

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

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Origami PBL

Read the entry document
What are the requirements of the project?

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

(4 min)

Give them time to read the 1 pg document and then ask what are the requirements of the project
Point out the timeline.

You will not be completing all of these requirements in the mock PBL today due to to time. You will need to complete items 1-4 as indicated on the document.

(1) Each person in the group will need to complete origami art piece
(2) A labeled origami diagram for each step of the folding process using correct terminology including bisector, congruent angle, perpendicular bisector, etc.
(3) A 2 min presentation to the class using technology HOWEVER FOR THE SAKE OF TIME I MAY ONLY HAVE 2-3 GROUPS PRESENT TODAY
(4) A clear, digital photo of the teams origami art pieces which include a creative setting and a background. EACH GROUP WILL NEED TO EMAIL [OR TEXT] THIS PHOTO TO ROOM FACILITATOR.
each facilitator will need to make a collage of all the teams pictures-only 1 slide per room. Link to Project Slide Presentation)

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Driving Question

How can we use the bisectors of segments and angles to create a piece of origami art to share with a global community?

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

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Know? Need to Know?

Take about ten minutes to discuss what you think this project is asking you to do, and/or formulate questions that, when answered, will clarify the goal of the project.

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

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21^st Century Skills�Let’s look at the Rubrics

Content: Student is able to construct congruent segments, congruent angles, a segment bi-sector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment.
Presentation
Collaboration
Creativity

http://www.bie.org/objects/cat/rubrics

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

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Teams/Contracts!

You will work in groups of 3 to investigate, label, and create origami. Find your group and discuss roles, expectations, and sign a contract!!

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

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DIY Activities

T.H.I.N.K about Your Digital Citizenship

Why is digital citizenship important? What other pieces

are important when interacting with others around the globe via media? http://youtu.be/hZDO-raVZ-0

Objective: Students will be able to explain appropriate behaviors of interactions collaboration using media and the importance of adhering to these behaviors in order to foster positive interactions between participants.

Directions:

Watch the video at http://youtu.be/hZDO-raVZ-0

Discuss the importance of digital citizenry and other factors in relation to their presence online and during collaborative interactions
Complete the THINK card

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

(5 min)

Your group will now complete only 3 of the DIY activities for this PBL. We have the three you will complete on the next few slides. Your first two DIY activities can be done in any order, however you must do the third activity last. There is an activity about digital citizenship as you see here on this slide, using patty papers to understand some geometry concepts [flip to next slide-slide 12] and then finally a project planning station [flip to next slide-slide 13]. I will let you discuss with your group the order in which you would like to complete these activities, but you must complete the project planning activity last. Before we get started, let’s look at the deliverables of this PBL unit on the next slide (slide 14).

point out timeline in upper right hand corner-be sure to tell them that these DIY activities along with more that we couldn’t fit in today would take up to 5 days, this time would include some formative assessment and understanding checks as well.

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DIY Activities

Patty Paper Bisectors And Angle Bisectors

Patty paper model DIY: Patty Paper Bisectors https://tinyurl.com/y8usb5bz

Objective: Students will be able to construct congruent segments, congruent angles, segment and angle bisectors, perpendicular lines and bisectors

Directions:

Obtain two pieces of patty paper with triangles already drawn and a pencil.
On either the laptop or the iPad, Go to Adventures in Patty Paper Select “Perpendicular Bisectors in a Triangle.” https://tinyurl.com/y8usb5bz
After watching the video, fold your own patty paper and label the midpoint, congruent segments, and perpendicular bisector for each side of the triangle.
Now select “Angle Bisectors in a Triangle.” https://tinyurl.com/y8usb5bz
After you watch the video, fold your other patty paper and label the angle bisector and congruent angles.
Upon completion, show both of these to your teacher.

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DIY Activities

Project Planning

Last stop on the DIY train. Here is where you will create your origami. You must complete all other DIY and assessments before you come to this activity.

http://en.origami-club.com/

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Project Complete when…

Group Presentations
Post to iEARN
Evaluate

Introduction and Kick off (2 50 min periods)

Patty paper activities and geometry instruction (2 days)

THINK activity (1 day)

Create origami, review geometry, and plan presentations (2 days)

Presentations (1-2 days)

(3 min)

For the actual PBL, these are the measurable outcomes of the unit. Some of these components are a group submission piece (group presentations) and some are individual submissions (posting to iEARN and evaluate) .

iEARN is an online non-profit platform that has pioneered on-line school linkages to enable students to engage in meaningful educational projects with peers in their countries and around the world.

You may begin working!

you can put timer up on screen if you would like (link to online timer)
they will have 44 min total to work-NOTE THAT YOU WILL NEED TO HAVE 2-3 GROUPS PRESENT SO THIS WILL CUT WORK TIME BY 4-6 MIN
Stay on this slide or timer for the entire work time
Remind groups to email or text you their group origami pics with their background--and then you will need to compile all the photos onto your group’s slide on this Project Slide Presentation

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Origami Project Presentation

By: Ema Cigarroa, Marina Attaalla and Rebecca Acosta

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A little history…

Origami is a model that is made out of folded paper.
It was developed in China.
Origami paper can be used to create complex figures.
It can also be used to visualize geometrical concepts. For example, it is utilized to show different kinds of bisectors. Such as angle bisector, perpendicular bisector, and segment line bisector.

References: uteachdallaspbi.weebly.com : Course Project : Project 1: Origami Geometry

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Terms

Angle bisector

A line passing through an angle, cutting it into two equal smaller angles

Perpendicular bisector

A line that traverses another line, cutting into two equal halves and forming 90⁰ angles

Line segment bisector

A line that traverses another line at the midpoint, cutting it into two equal halves. The angles do not necessarily have the same measurement

Line segment

Line that links two points

Congruent angles

Angles that have the same measurement

Supplementary angles

Two angles whose measurements add to 180⁰

Complementary angles

Two angles whose measurement adds to 90⁰

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Farm Theme

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HOW TO…

Angle Bisector

Perpendicular Bisector

Line Segment

Perpendicular Bisector

Angle Bisector

Line Segment

Congruent Angles

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HOW TO…

Perpendicular Bisector

Angle Bisector

Line Segment

∂

Congruent Angles

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HOW TO…

Angle Bisector

Line Segment

Perpendicular Bisector

Angle Bisector

Perpendicular Bisector

Line Segment

Congruent Angles

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THANK YOU!

ANY QUESTIONS?

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Essential Elements of PBI

Teaches significant content
Requires critical thinking, problem solving, collaboration, and various forms of communication
Requires inquiry as part of the process and learning and creating something new
Organized around an open-ended driving question
Creates a need to know essential content and skills
Allows student voice and choice
Includes processes for revision and reflection
Involves a public audience

From www.bie.org

If you don’t get this far, I have included it in my closing remarks. DJackson

(7 min)

These are the necessary elements to ensure that you have a high quality PBL unit. We know that there is inconclusive research out there on the effectiveness of PBL on student achievement, however when you examine those studies often you will find that there is not a standard of quality for the PBL’s studied. When you incorporate these 8 elements in meaningful ways you will impact student achievement.

So, I know that you only went through a mock PBL and keep in mind you did not see the instruction and student inquiry in it’s entirety, but lets discuss…. How did we do on each of these elements today?

If anyone asks you-this is a high school Geo PBL and it covers aspects of standard G.CO.9 and G.CO.10

G.CO.9 Prove and apply theorems about lines and angles. Theorems include but are not restricted to the following: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. In order to be able to apply theorems about lines and angles they need to understand the terminology. The PBl accomplishes that!

G.CO.10 Prove and apply theorems about triangles. Theorems include but are not restricted to the following: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

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(7 min)

This is a graphic to help you see the difference between what we call a “Dessert Project”-a project that comes at the end of unit where no new learning occurs as the material has already been taught and what PBL looks like. Take a moment and look over the graphic and then let’s have a group discussion.

What do you notice?

take aways

PBL is not saying that direct instruction cannot be used (this is big misconception in our district), it is saying that there could be a place for direct instruction within the context of project in a meaningful context
PBL must be focused on content standards that are major works/standards of your grade level or content not the small or less involved standards

note that benchmark refers to some form of formative assessment such as an exit slip or quiz, etc

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Comments/ Questions? ��Thank you!