differentiating math using assessments and extension menus to compact and accelerate math...
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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
[email protected] Cathy Roh
Allen Elementary Garden Grove Unified School District
Kris Larson [email protected]
Cathy Roh [email protected]
Allen Elementary Garden Grove Unified School District