118 Chapters
Medium 9781942496489

Chapter 5: Modeling With Functions

Nolan, Edward C.; Dixon, Juli K.; Safi, Farshid; Haciomeroglu, Erhan Selcuk Solution Tree Press ePub


Modeling With Functions

How does the understanding of various function types enable you to make sense of and mathematize the world around you? This chapter explores ways to integrate the understanding of functions and algebraic concepts to make sense of the world around you. Real-world situations provide the setting to investigate functions and to purposefully use mathematics to explain, interpret, and make predictions through the use of modeling with functions.

The Challenge

A critical part of learning mathematics involves connecting mathematical content to relevant contexts in order to explore and analyze situations. Mathematical Practice 4, “Model with mathematics,” focuses on this aspect of mathematizing the world by using mathematics to examine, predict, and gain greater insight into everyday phenomena. What are some different ways that you can make sense of data using the mathematics studied in high school? Consider the task in figure 5.1.

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Medium 9781934009482

Curriculum Leadership: Principle 3

National Council of Supervisors of Mathe Solution Tree Press ePub

Principle 3:
Ensure relevant and meaningful
mathematics in every lesson

Indicator 1:

Every teacher implements the local curriculum and uses instructional resources that are coherent and reflect state standards and national curriculum recommendations.

Indicator 2:

Every teacher implements a curriculum that is focused on
relevant and meaningful mathematics.

Indicator 3:

Every teacher implements the intended curriculum with
needed intervention and makes certain it is attained by
every student.


The mathematics education leader ensures the curriculum is coherent, focused on important, relevant mathematics, and well articulated across the grades.

—National Council of Teachers of Mathematics, 2000, p. 3

The mathematics leader must lead collaborative efforts to develop coherent, meaningful curriculum that encourage the teaching of higher levels of mathematics and advanced skills.

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Medium 9781942496427

Appendix B: Completed Diagram for Classifying Quadrilaterals

Juli K. Dixon Solution Tree Press ePub
Medium 9781936764006

Epilogue: Your Mathematics Professional Development Model

Solution Tree Press ePub


Implementing the Common Core State Standards for mathematics presents you with both new challenges and new opportunities. The unprecedented adoption of a common set of mathematics standards by nearly every state provides the opportunity for U.S. educators to press the reset button on mathematics education (Larson, 2011). Collectively, you and your colleagues have the opportunity to rededicate yourselves to ensuring that all students are provided with exemplary teaching and learning experiences, and you have access to the supports necessary to guarantee all students the opportunity to develop mathematical proficiency.

The CCSS college and career aspirations and vision for teaching, learning, and assessing students usher in an opportunity for unprecedented implementation of research-informed practices in your school or district’s mathematics program. In order to meet the expectations of the five fundamental paradigm shifts described in this book, you will want to assess your current practice and reality as a school against the roadmap to implementation described in figure E.1 (page 158).

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Medium 9781936764938

Chapter 9: Effectiveness Indicator 9 Family and Community Involvement

Dunsworth, Mardale; Billings, Dawn Solution Tree Press PDF



Effectiveness Indicator 9

Family and Community Involvement

The voice of parents is the voice of gods, for to their children they are heaven’s lieutenants.


In effective schools, there are programs in place to engage families and the community in supporting student learning. From this principle, we derive Effectiveness Indicator 9. An on-site school review assesses the commitment of the school, its families, and its community to developing partnerships for the benefit of the students. It examines both the school’s outreach efforts and the families’ and community’s involvement in, and ownership of, the school.

Five characteristics define Effectiveness Indicator 9: Family and Community Involvement:

9A. Families and the community feel positive about, and welcome at, the school.


The school maintains high levels of communication with families and the community.

9C. The school seeks and values family and community involvement.

9D. The school engages families and the community to support student learning.

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