math session 2 mathematical practices 4 & 5 modeling with math parcc task types lesson study
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Math Session 2Mathematical Practices 4 & 5
Modeling with MathPARCC Task Types
Lesson Study
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Modeling with Math
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Modeling with Math
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“Mathematical modeling is the link between mathematics and the rest of the world.” (Meerschaert, M., Mathematical Modeling,Elsevier Science, 2010)
The process of beginning with a situation and gaining understanding about that situation is generally referred
to as “modeling”. If the understanding comes about through the use of mathematics, the process is known
as mathematical modeling.
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Modeling with MathGOAL: students pose their own questions
about the world and use math to answer those questions
TEACHER’S JOB: construct situations in which students are choosing math to better understand their everyday life
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Modeling with Math
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Students
Apply prior knowledge to new problems and reflect
Use representations to solve real life problems
Apply formulas and equations where appropriate
Teachers
Pose problems connected to previous concepts
Provide a variety of real world contexts
Use intentional representations
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Modeling Steps1. Identify a problem situation2. Make a representation of one or more
elements of the situation3. Create a mathematical expression4. Compare results or predictions from the
mathematical model with the real situation5. Make revisions to the model if needed
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Modeling with Math
Elementary Grades:
Ensure the math students engage in helps them see and interpret the world
Type of thinking required more important than the context
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Modeling with Math
1. Give it context2. Go deeper3. Tap into resources
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Modeling with MathGive it Context
Consider applications of the workTo think deeply, math needs to be in contextSpend less time on repetitive problemsMore time with real scenarios
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Modeling with MathGo Deeper
Build longer problems with multiple steps and more than one question
Additional questions add depth and rigor – call upon students to demonstrate understanding over multiple skills
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Modeling with Math
Tap into Resources
Task prototypes from PARCC Video Story Problems (The Tech Savvy Educator) Teaching Channel
Problems with real-world implications demonstrate that what students are learning has value.
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Tap into Resourceswww.theproecenter.info
Math Playground – Thinking Blocks Watson Math California Math Project
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Tools to Support Math ModelingFractionsEquations
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