the approach to differentiation in a story of ratios and a story of functions

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© 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Ratios The Approach to Differentiation in A Story of Ratios and A Story of Functions

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The Approach to Differentiation in A Story of Ratios and A Story of Functions. Session Objectives. Reflect on implementation successes and challenges and establish learning goals to guide subsequent sessions . - PowerPoint PPT Presentation

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Page 1: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

NYS COMMON CORE MATHE MATICS CURRI CULUM A Story of Ratios

The Approach to Differentiation

in A Story of Ratios

and A Story of Functions

Page 2: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

Session Objectives Reflect on implementation successes and challenges

and establish learning goals to guide subsequent sessions.

Identify strategies for accommodating student needs rather than modifying lessons, and recognize the difference between those approaches to differentiation.

Page 3: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

Successes and Challenges Activity

Page 4: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

Establishing Learning Goals

Page 5: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

The Common Core Approach to Differentiating Instruction

Read p. 14-15

Highlight words, phrases and sentences

Page 6: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

What subgroups of learners are specifically identified?

How can we best support these learners?

How does the curriculum support these instructional strategies?

Page 7: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

What subgroups of learners are specifically identified?

English language learners

Student with disabilities

Students performing above grade level

Students performing below grade level

Page 8: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

How can we best support these learners?

Using:

Multiple means of representation

Multiple means of action and expression

Multiple means of engagement

Page 9: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

How does the curriculum support these instructional strategies?

This will be our focus as we investigate the

modules at each grade.

Page 10: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

Accommodationsvs.

Modifications

Page 11: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

Jigsaw1: Scaffolds for English Learners

(pp. 16-17)

2: Scaffolds for Students with Disabilities (pp. 17-18)

3: Scaffolds for Students Performing Below Grade Level (p. 19)

4: Scaffolds for Students Performing Above Grade Level (p. 20)

Page 12: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

A re-wordingG6-M6

Example 1: What is a Statistical Question?

Jerome, a 6th

grader at Roosevelt Middle School, is a huge football fan. He loves to

collect baseball cards. He has cards of current players and players from past

seasons. With his teacher’s permission, Jerome brought his baseball card collection

to school. Each card has a picture of a current or past major league baseball player,

along with information about the player. When he placed his cards out for the other

students to see, they ask Jerome all sorts of questions. Some asked:

• How many cards does Jerome have altogether?

• What is the typical cost of a card in Jerome’s collection?

• Where did Jerome get the cards?

Which of these questions is a statistical question?

G6-M6

Example 1: What is a Statistical Question?

Jerome collects major league baseball cards.

His collection contains cards of both current players and past (retired) players.

Each card has a picture of a player as well as information about that player.

His classmates asked Jerome the following questions about his baseball cards:

• How many cards does Jerome have altogether?

• What is the typical cost of a card in Jerome’s collection?

• Where did Jerome get the cards?

Which of these questions is a statistical question?

Page 13: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

Amplify Language(to increase accessibility)

• Give clear mathematical definitions

• Explain multiple meanings

• Include models and diagrams

• Maintain consistence with language

Page 14: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

Move from Concrete Representation to Abstract

• Use familiar contexts

• Visually organize thinking

• Provide multiple representations

Page 15: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

Give Guidelines for Speaking, Reading, Writing or Listening

• Provide structured opportunities to speak and write

(to enrich academic register)

• Give explicit instructions in student-friendly language

• Use visuals or examples in giving instructions

Page 16: The Approach  to Differentiation  in  A  Story of Ratios  and  A Story of Functions

© 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Ratios

What is the difference between an Accommodation and a Modification?