1. Mathematical Practice 4:
Module 4
Mathematical Practice 4:
Modeling and Using Tools

2. Mathematical Practice 4
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This practice, in conjunction with Mathematical Practice 5, capture the essence of how students use mathematics and appropriate and varied tools to reason and to make sense of content.
Mathematical Practice 4
Modeling and Using Tools

3. Mathematical Practice 4
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Mathematical Practice 4: Defined Students engaged in “modeling with mathematics” solve real- world problems by applying known mathematics (NGA & CCSSO, 2000, p. 7).
Mathematical Practice 4

4. Mathematical Practice 4
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Warning!
This practice is often misinterpreted as representing mathematical concepts with manipulatives only because of the word model.
The ways in which students model and represent mathematics will evolve as they learn more mathematics.
Mathematical Practice 4

5. Mathematical Practice 4
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Two Major Benefits of Reasoning
It aids students’ mathematical understanding and ability to use concepts and procedures in meaningful ways.
It helps students reconstruct faded knowledge.
Mathematical Practice 4

6. What is the teacher’s major responsibility?
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What is the teacher’s major responsibility?
To provide your students with opportunities to explore real-world problems or situations and encourage them to represent those problems mathematically. These sorts of experiences will prepare students for expectations related to reasoning mathematically in high school
(NCTM, 2009).
Mathematical Practice 4

7. Expressions, equations
Symbols, graphs
Diagrams, tables
Expressions, equations
graphing calculators
Area and volume models
expressions
What might students use to model mathematics?

8. What does this look like in the classroom?
As the teacher you…
Provide opportunities for students to explore and share solutions to real-world situations
Create a classroom environment conducive to respectful and appropriate mathematical discourse
Ask students if their answers are reasonable
Facilitate classroom discourse so that students can learn from each other
Make sure that students make sense of their answers according to the context of the problem

9. What are the students doing?
In a classroom where students are modeling with mathematics, you will notice students…
Check for the reasonableness of their computations
Extend sense making of their solutions to determine if the solution is appropriate to the given context

10. For more information… Your Second Text Goes Here.
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Please return to Module 4 and complete the collaborate and reflect activity.
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