georgia performance standards day 5: differentiation 7 th grade mathematics

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Georgia Georgia Performance Performance Standards Standards Day 5: Day 5: Differentiation 7 7 th th Grade Grade Mathematics Mathematics

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Page 1: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Georgia Performance Georgia Performance StandardsStandards

Day 5: Day 5: Differentiation

77thth Grade Mathematics Grade Mathematics

Page 2: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Getting AcquaintedGetting Acquainted• Name Tag:

– First Name or Nickname

• Index Card:– Name– E-mail Address– System/School– GPS Status

Page 3: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Peggy PoolPeggy Pool

Georgia Department of Education

1754 Twin Towers East

Atlanta, Georgia 30334

Office phone: (404) 657- 9063

Office email: [email protected]

Page 4: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Group Norms and Group Norms and HousekeepingHousekeeping

Group Norms:• Ask questions• Work toward solutions• Honor confidentiality• Meet commitments or

let others know if you are struggling

Housekeeping:• Parking Lot• Phone calls• Rest rooms• Breaks• Lunch

Page 5: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Four Corners, Part 1Four Corners, Part 1

Choose a corner based on your confidence in understanding the GPS for 6th Grade Mathematics:

Needs Rethinking In Development Quality Exceptional

Page 6: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Four Corners, Part 2Four Corners, Part 2

What made you choose your corner?

Discuss what you know and

what you want to know.

Be prepared to share with the group.

Page 7: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

CALVIN AND HOBBES © 1993 Watterson. Dist. By UNIVERSAL PRESS SYNDICATE. Reprinted with permission. All rights reserved.

Page 8: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Jumping JacksJumping Jacks

• The popularity of bicycle tours gave five college students an idea for a summer business.

• You cannot ride your bike around the classroom, but you can perform a simple experiment.

Page 9: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

http://www.georgiastandards.org

Mathematics

Page 10: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Standards

Frameworks

Page 11: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Check it out!

7th Grade Framework is at the bottom of the page.

Page 12: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Essential Question #1Essential Question #1

What is differentiation and how does it fit into the standards-based education process?

Page 13: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

What is Differentiation?What is Differentiation?

Page 14: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

“Come to the edge,” he said.

“We are afraid,” they said.

“Come to the edge,” he said.

THEY DID.

And he pushed them,

And they flew.--Apolonaire

Page 15: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

According to Grant Wiggins:According to Grant Wiggins:

"Good planning leaves room for the unplannable. You do not know what you'll be doing on April 11, and you're a fool if you think so. If you do, then the curriculum is more important to you than your students."

(Grant Wiggins, "Designing and Using Student Reflections and Self-Assessment," ASCD Summer Conference on Differentiated Instruction and Understanding by Design, June 2005)

Page 16: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Self-AssessmentSelf-Assessment

Some Underlying Assumptions

Of

Differentiated Instruction

Page 17: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Essential Principles of DifferentiationEssential Principles of Differentiation

1. Good Curriculum Comes First

2. All Tasks Should Be Respectful of the Learner

3. When in Doubt, Teach Up

4. Use Flexible Grouping

5. Become an Assessment Junkie

6. Grade for Growth

--Tomlinson & Eidson, Differentiation in Practice, Grades 5-9, 13-15.

Page 18: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Essential Question #2Essential Question #2

Why and how do we differentiate?

Page 19: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

WHYWHY Do We Differentiate? Do We Differentiate?

Page 20: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

The EqualizerThe Equalizer

Concrete to abstractSimple to complexBasic to transformationalFewer facets to multi-facetsSmaller leaps to greater leapsMore structured to more openLess independence to greater independenceSlow to faster Tomlinson,1995

Page 21: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

HOWHOW Do We Differentiate? Do We Differentiate?

Page 22: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

DifferentiationDifferentiationIn yoursmallgroup,divide your chart paper into four columns and five rows.

What

is it?

How to differentiate

Strategies to use

Content

Process

Product

Learning Environment

Page 23: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Math “Coordinated”Math “Coordinated”

• Coordinating Translations

(From Unit 4 of the Grade 7 Framework.)

• Coordinating Rotations

(From Unit 4 of the Grade 7 Framework.)

• Dilations in the Coordinate Plane

(From Unit 5 of the Grade 7 Framework.)

Page 24: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

PracticePractice• Work assigned task

• List differentiation strategies

• Remember:

*WHY-access, motivation, efficiency

*HOW- content, process, product,

learning environment

*Equalizer

Page 25: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Differentiation Stratego: A Reality GameDifferentiation Stratego: A Reality Game

• Shuffle the deck of profile cards.

• Equally distribute as many of the cards as possible.

• Provide appropriate differentiation for your given task.

• Display your results on chart paper.

• When finished, post your work.

• Be prepared to share your plan.

Page 26: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Essential Question #3Essential Question #3

What does a differentiated classroom look like?

Page 27: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

A True/False Quiz:A True/False Quiz:

Directions:

• Mark TRUE or FALSE.

• Compare your answers.

• If disagree, discuss to reach consensus.• Share with the whole group.

Page 28: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Traditional vs. DifferentiatedTraditional vs. Differentiated

• Read the characteristics

• Develop a creative demonstration • Prepare to share

Page 29: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Name That GraphName That Graph(Adapted from Unit 6 of the Grade 7 Framework.)(Adapted from Unit 6 of the Grade 7 Framework.)

• Choose three equations and t-charts to graph.

• Answer the questions.

• Make sure to get tic-tac-toe.

Page 30: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Essential Principles of DifferentiationEssential Principles of Differentiation

1. Good Curriculum Comes First

2. All Tasks Should Be Respectful of the Learner

3. When in Doubt, Teach Up

4. Use Flexible Grouping

5. Become an Assessment Junkie

6. Grade for Growth

--Tomlinson & Eidson, Differentiation in Practice, Grades 5-9, 13-15.

Page 31: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Set a GoalSet a Goal

It is perfectly acceptable to begin slowly

AS LONG AS WE DO BEGIN!

Page 32: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Your AssignmentYour Assignment

• Redeliver Day 5 Training.

• Bring to Day 6 Training:4 copies of a student work sample A copy of the assignment Two signed permission forms

Page 33: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Criteria for Good TasksCriteria for Good Tasks

• Involves significant mathematics

• Can be solved in a variety of ways

• Elicits a range of responses

• Requires communication

• Stimulates best performance

• Lends itself to a scoring rubric

Page 34: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Give Yourself a HandGive Yourself a Hand

You deserve it. Educators ROCK!

Page 35: Georgia Performance Standards Day 5: Differentiation 7 th Grade Mathematics

Peggy PoolPeggy Pool

Georgia Department of Education

1754 Twin Towers East

Atlanta, Georgia 30334

Office phone: (404) 657- 9063

Office email: [email protected]