Tag Archives: modeling

Planning Coherent Curriculum

I’ve spent a bit of time thinking about Grade 5 science curriculum. How do we make sure that we are creating opportunities for students to learn what they need to progress to higher grades? The K-12 Framework has learning progressions that we need to carefully consider in curriculum design. We need to use them effectively.

We have three NGSS dimensions with many components: 11 disciplinary core ideas, seven crosscutting concepts, and eight science and engineering practices. The performance expectations tell us what will be assessed by suggesting how the components can be combined, but they are not curriculum. However, most curriculum development approaches begin by grouping PEs into logical clusters, such as described in the front matter for NYU SAIL’s Garbage unit. Therefore, the combinations of dimensions in the PEs often affect what is emphasized in curriculum and instruction.

Let’s look at Grade 5. I analyzed the content of the PEs, which revealed:

  • Of 16 crosscutting concept elements, 56% were not addressed.
  • Of 7 crosscutting concepts, 2 crosscutting concepts were not addressed at all (structure & function, stability & change)
  • Of 40 science and engineering practice elements, 73% were not addressed.

Curriculum developers need strategies for addressing elements that are not in performance expectations in a way that is coherent within and across grades. In curricula that focus on students’ modeling of phenomena, the science and engineering practices are naturally integrated. For example, see this figure from Passmore et al. (2017). When students are actively developing and using models, the other SEPs inform and are informed by Developing and Using Models.

Passmore et al. (2017)

But what about the crosscutting concepts? There has not been a strategic way to integrate the crosscutting concepts. In my last blog post, I introduced a graphic organizer adapted from Rehmat et al. (2017) and used it to apply all the crosscutting concepts to a phenomenon. This could be a way to systematically address the CCCs, just as model-driven curricula are a way to address the SEPs.

Lori Andersen (2020). Adapted from model in Rehmat et al. (2019)

The CCCs are the epistemic heuristics, or “thinking tools” of science (Krist et al., 2018). They help students figure out the mechanistic explanations that are needed when modeling phenomena. If we apply all the CCCs to the phenomenon in curriculum planning, we might ensure that students have opportunities to learn about all the CCC elements in the grade band.

More to come as I explore this idea in my work. Do you have any comments about this approach? Please share here or on Twitter.


Krist, C., Schwarz, C. V., & Reiser, B. J. (2019). Identifying essential epistemic heuristics for guiding mechanistic reasoning in science learning. Journal of the Learning Sciences, 28(2), 160–205. https://doi.org/10.1080/10508406.2018.1510404

NYU SAIL. (2019). Garbage Unit Front Matter.

Passmore, C, Schwarz, C.V. & Mankowski, J. (2017). Developing and using models. In C. V. Schwarz, C. Passmore, and B. J. Reiser (Eds.), Helping students make sense of the world using next generation science and engineering practices, pp. 33–58. NSTA Press.

Rehmat, A.P., Lee, O. Nordine, J., Novak, A.M., Osborne, J., & Willard, T. (2019).  Modeling the role of crosscutting concepts for strengthening science learning of all students. In S. J. Fick, J. Nordine, & K. W. McElhaney (Eds.), Proceedings of the summit for examining the potential for crosscutting concepts to support three-dimensional learning. University of VA. http://ccurry.virginia.edu/CCC-Summit

Crosscutting Concepts

By Dr. Lori Andersen, June 2020

The crosscutting concepts are the “thinking tools” of science. These seven big ideas help us describe and explain our world. Why is it important to use them as a set rather than individually, as they are presented in the standards?

A phenomenon is an object, process, or event. A phenomenon can be something very ordinary. It doesn’t have to be anything phenomenal. All phenomena are either a system or a part of a system. This is why systems and system models is the foundational crosscutting concept (Rehmat et al., 2019) and the arrow in the diagram points from phenomenon to systems and system models.

Systems and system models are tools for describing and explaining systems. A system model is a representation of the components and how they interact. The systems model can include pictures and text. The most important feature of the systems model is that it explains how the phenomenon happens.

Patterns are tools for describing what happens. There are many different kinds of patterns we might notice. We describe patterns using two other crosscutting concepts — scale, proportion, & quantity and stability & change.

Cause and effect is a tool for explaining why something happens. Cause and effect relationships can be simple or complex. We explain cause and effect using two other crosscutting concepts — matter & energy and structure & function.

The diagram provides a way to think about how the CCCs operate together as we create system models. In phenomenon-driven instruction, we are going to use many CCCs rather than just one or two. The idea for this diagram came from Rehmat et al. (2019) and I modified it to include phenomenon and adjusted the representation of systems and systems models in the diagram.

By NASA, ESA, AURA/Caltech, Public Domain, https://commons.wikimedia.org/w/index.php?curid=7805481

Let’s apply the set of CCCs to an example. One phenomenon is the rising of Makali’i every November, which is used to mark the beginning of the Hawaiian new year.

Makali’i is a group of stars. We see the stars because light from the stars travels to our eyes. Our system model needs to include the stars, sun, and Earth to explain why we see them.

I developed this diagram using the templates on Paul Anderson’s website, Wonder of Science. These are great tools because they are already Google Draw editable documents. I added my system components and supporting text.

This system model explains how we can see Makali’i in November. Components include: Makali’i, sun, Earth, and observer. Makali’i emits light, which travels to Earth so we can see Makali’i in November. How do we use the other CCCs in the model?

Patterns are what happens in the phenomenon. There is a time pattern of specific months of the year when Makali’i can be observed in the sky. The time is measured with units (Scale, Proportion, & Quantity). Constellation patterns stay consistent over shorter periods of time, such as a month, while changing quite a bit over longer periods of time, such as a year (Stability & Change).

Cause & Effect is why the phenomenon happens. There is a cause, or reason, for the effects we observe. We observe Makali’i because the light can reach our eyes. The light can reach our eyes because the arrangement of sun, earth, stars, and the observer creates an unobstructed path for starlight. Light is a transfer of energy (Matter & Energy). The unobstructed path happens because of the structure within the system (Structure & Function). The Earth itself blocks light from reaching our eyes depending on its position in its orbit and its point in the rotation on its axis.

In the example of observing Makali’i, we see that all the crosscutting concepts play a role in describing and explaining the phenomenon. This diagram shows the role of each crosscutting concept.

So, how would you decide which to leave out? How can we use them together without overwhelming students and teachers?

What do you think about using all the crosscutting concepts in creating systems models that describe and explain phenomena? Leave your ideas in the comments!


Rehmat, A.P., Lee, O. Nordine, J., Novak, A.M., Osborne, J., & Willard, T. (2019).  Modeling the role of crosscutting concepts for strengthening science learning of all students. In S. J. Fick, J. Nordine, & K. W. McElhaney (Eds.), Proceedings of the summit for examining the potential for crosscutting concepts to support three-dimensional learning. University of VA. http://curry.virginia.edu/CCC-Summit