differentiating math using assessments and extension menus to compact and accelerate math...

Differentiating MathDifferentiating Math

Using Assessments and Extension Menus

to compact and accelerate Math instruction

Presented byCathy Roh and Kris Larson

Allen Elementary SchoolGGUSD

Using Assessments and Extension Menus

to compact and accelerate Math instruction

Presented byCathy Roh and Kris Larson

Allen Elementary SchoolGGUSD

What is today’s objective?What is today’s objective?To share with you a strategy for differentiating

instruction in Math using pre-assessments and extension menus

We will be showing you: Hardest 5 quizzes Math Extension Menus Ideas for Classroom Management & Environment

To share with you a strategy for differentiating instruction in Math using pre-assessments and extension menus

We will be showing you: Hardest 5 quizzes Math Extension Menus Ideas for Classroom Management & Environment

What is the Hardest 5 quiz?Pre-assessment tool to check for

mastery5 most challenging questions5-minute quiz time (unless more time-

consuming skill)Must earn 100%Two forms: one daily, one weeklyCan be projected or as a paper quizCan study ahead of timeValuable data if whole class tests out (or

majority)

When do I give the Hardest 5 ?

• Weekly:• On Friday, a week

before– Give the Hardest 5

Quiz that covers all lessons you will be teaching.

• Daily:• Before the lesson:

– Give the Hardest 5 Quiz that covers the lesson you will be teaching that day.

• After the Lesson:– Give the Hardest 5 Quiz

that covers the lesson you will be teaching the following day.

What does a daily lesson look like?

• Lesson– Teach math lesson to class– All students must listen and take notes

• Structured Practice/Guided Practice– AMG students excused to work on Extension

Menu• Expect classroom transition here!

• Independent Practice (with non-AMG students)

– 85% who understand independent practice– 15% who struggled small group practice– Prepare challenge problems

1.Hardest 5 AMG students2.On-level students3.Below-level students

What are Extension Activities?

What are Extension Activities?The purpose of Extension Activities is to provide students who

have shown mastery on a math concept with opportunities to:

Extend their learning

Apply mathematical knowledge beyond procedures

To connect mathematical knowledge to the real world

Extension Activities are presented on Extension Menus, which provide an activity for every lesson in a Unit, as well as optional activities for student choice.

How do I make Extension Menus?

How do I make Extension Menus?

Challenge questions/pages in your text book/T.E.

Supplemental challenge activities with your math program

Find real world applications for the math concept

Challenge questions/pages in your text book/T.E.

Supplemental challenge activities with your math program

Find real world applications for the math concept

Laurie E. Westphal

Laurie E. Westphal

What are some sample activities?What are some sample activities?Multiply Fractions and Whole NumbersThink Like a Top Chef!

Find or create a recipe that contains at least 3 fractions, no mixed numbers.

Create 3 recipe cards:

First, triple the recipe (multiply every ingredient by 3). Remember, this will triple the amount of people that the recipe will serve.

Second, rewrite the recipe for a party by multiplying everything by 8.

Third, rewrite the recipe for a banquet by multiplying everything by 24.

Multiply Fractions and Whole NumbersThink Like a Top Chef!

Find or create a recipe that contains at least 3 fractions, no mixed numbers.

Create 3 recipe cards:

First, triple the recipe (multiply every ingredient by 3). Remember, this will triple the amount of people that the recipe will serve.

Second, rewrite the recipe for a party by multiplying everything by 8.

Third, rewrite the recipe for a banquet by multiplying everything by 24.

What are some sample activities?

What are some sample activities?

Lines and Angles Map It! Create a road map for a fictional city. Your map should include examples of each of the

following geometric concepts:o Point o Lineo Ray o Line segmento Plane o Right angleo Acute o Obtuse angleo Parallel line o Intersecting lineo Perpendicular line

Create a legend to explain where each geometric concept can be found on your map.

Your town should be named, colored, locations should be clearly labeled, and your map should include color where appropriate.

Lines and Angles Map It! Create a road map for a fictional city. Your map should include examples of each of the

following geometric concepts:o Point o Lineo Ray o Line segmento Plane o Right angleo Acute o Obtuse angleo Parallel line o Intersecting lineo Perpendicular line

Create a legend to explain where each geometric concept can be found on your map.

Your town should be named, colored, locations should be clearly labeled, and your map should include color where appropriate.

How do I assess Extension Activities?

How do I assess Extension Activities?

Rubric should assess: Mathematical Understanding

Does the assignment show correct understanding of the math concept?

Content Does the assignment follow all directions completely

and include all necessary information? Creativity and Effort

Is the assignment neat, attractive, creative, and show effort and scholarly pride?

Rubric should assess: Mathematical Understanding

Does the assignment show correct understanding of the math concept?

Content Does the assignment follow all directions completely

and include all necessary information? Creativity and Effort

Is the assignment neat, attractive, creative, and show effort and scholarly pride?

Classroom Environment

How can I organize my classroom to make Hardest 5

run smoothly?

Where do I keep a list of Math Groups?

Math Groups labeled and listed on a classroom Math board (e.g. Team 1/ Team 2 with students numbers listed under the appropriate title)

Location suggestions: whiteboard, sheet protector with a white paper, pocket chart

Other option: Math groups do not have to be displayed; lists can written down and kept by the teacher only

Where do I put Math Extension Menus?

Pocket files on the Math board or standing file folder that the students have access to

Menu activity resources should be in the same location

Other option: Distribute the Menu to all the students at the beginning of the week; students keep it in a Math folder until the end of the Unit

Where do the students who tested out work while I am

teaching the lesson? Designated work area(s) Suggestions: classroom library, small group

table, computer table Move students in the classroom so table

groups can be made into Extension Group work areas

Students understand they are to be working quietly during your instruction

Troubleshooting! How can I ensure that Differentiation is a Success?

• Model expectations for Hardest 5 group• Preview Scholar Menu at beginning of unit or on

Monday when test-out students are posted• Transitions - provide time• High standards for Extension Menu

– Set expectations at the beginning– Create a rubric for scholarly work

Presented by:Presented by: Kris Larson

klarson@ggusd.us Cathy Roh

croh@ggusd.us

Allen Elementary Garden Grove Unified School District

Kris Larson klarson@ggusd.us

Cathy Roh croh@ggusd.us

Allen Elementary Garden Grove Unified School District