Unit 3: Progression of Mathematical Modelling in Middle School Mathematics
Learning Objectives
At the end of this unit, learners will be able to:
- Identify the progression of a mathematical model from grade 5 to 8
- Connect specific grade-level content to the mathematical model
- Solve different grade-level mathematical problems using the same model
- Explain how key mathematical models progress within middle school mathematics
Standard Alignment of Mathematical Model
Do:
- Open this document
- Set a timer for 10 minutes to connect the right model to the appropriate Common Core Math standards
Reflect & Record:
- Choose a specific model and draw three observations you have for its alignment to Common Core Math standards throughout middle school
- Record your thoughts on the Jamboard here and read at least 3 peers' comments.
Mini-Stamp:
A mathematical model can be used across grade levels to solve different problems of unlike standards. This is because the mathematical model itself evolves along with learners' math knowledge. This explains why models can support students' conceptual understanding: students can rely on prior models to solve novel problems as their usage contains heavy conceptual understanding.
Progression of Mathematical Models in Middle School
Do Now:
- Set a timer for 20 minutes
- Choose to do either practice problem set 1, 2 or 3. Solve all questions within the problem set using only one type of mathematical model
Reflect & Record:
- Explain how mathematical models progress within middle school math domain.
- Record your thoughts on the Jamboard here and read at least 3 peers' comments.
Self-Reflection
Reflect: Set a timer for four minutes and write down some key takeaways from today's unit. As you reflect, use the following guiding questions:
- What stood out to you about this unit?
- How did this unit align/contrast/add to your practice and/or belief?
Unit Takeaways
STAMP
- Mathematical models progress along with the grade level and can be used to solve multiple grade levels' math problems
- Mathematical models build a strong conceptual understanding of foundational knowledge, which is then used by students to explore different problems in upcoming grades