IM v.360 is an open educational resource (OER), which means it’s free and available for anyone to use under a Creative Commons (CC BY-NC) license. Materials can be downloaded directly from IM’s curriculum site, AccessIM.org.

When the sun is at a low angle in the sky, the sunlight reflecting off the surface of water is nearly 100% horizontally polarized because the angle of incidence is close to the Brewster angle.  Glare-reducing sunglasses are coated with a polarizer with a vertical transmission axis and therefore block the reflected light.

disadvantages of 360-degree feedback

IM® v.360, released in 2024, is IM’s most comprehensive curriculum upgrade to date. Building on the foundation of previous IM® Math versions, IM v.360 maintains the core tenets of IM problem-based instruction and features while incorporating new additions and enhancements based on feedback from teachers, school leaders, and students. IM v.360 empowers teachers to ensure that every child learns grade-level mathematics and develops a positive mathematical identity through engaging learning experiences.

Illustrative Mathematics has created research-backed, standards-aligned K–12 mathematics curricula since its founding in 2011. Thoughtfully designed and expert-authored, IM’s comprehensive suite of math curricula is designed to encourage inclusive, engaging mathematical discussions supported by tasks, lesson plans, professional learning, and community.

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In other devices the changes in direction of propagation between the two rays is used to separate the incoming beam into two orthogonally polarized beams as in the Wollaston and Thompson beam-splitting prisms.

360-degree feedback benefits

The electric field vector E can always be resolved into two perpendicular components.  The light is elliptically polarized, then the two components have a constant phase difference, and the tip of the electric field vector traces out an ellipse in the plane perpendicular to the direction of propagation.

In the IM Classroom, students, teachers, and the mathematics interact in an inclusive community. Students are engaged with and excited by a problem-based instructional model that affirms their experiences and helps build strong mathematical identities. IM Classroom teachers equip students to know, use, and enjoy mathematics by leading meaningful discussions that help synthesize students’ understanding of rigorous content. They have access to IM Certified Professional Learning, which provides implementation support and allows teachers to grow in their practice and in understanding the curriculum. School and district leaders create systemic change when necessary through coaching, collaborative planning, and long-term support of teachers and students. Families are welcomed into the community with embedded support materials, allowing students to experience the IM Classroom in school and at home.

Kendall Hunt is an IM Certified Partner and print provider of the upgraded IM® v.360 curriculum. The Kendall Hunt version will be the pure, untouched print version – one that is unaltered, unedited, and aligns directly with IM’s free digital version. In addition to this upgraded print version, Kendall Hunt offers professional learning opportunities aligned with customer needs.

The figure below shows the trace of the field vector Ex = E0exp(i(kz - ωt)), Ey = E0exp(i(kz - ωt + φ)) in a plane perpendicular to the z-axis when looking towards the source.  (E0x = E0y = E0)

360-degree feedback examples

IM® v.360 powered by Kiddom unites ground-breaking technology with Illustrative Mathematics’ high-quality curriculum.  Kiddom empowers educators to customize, implement, and measure the impact of IM® v.360 on a simple, powerful platform. A full suite of digital tools and functionality creates dynamic, engaging learning experiences for students, while real-time data supports informed instructional choices.

Join us for an engaging webinar that explores our latest curriculum upgrade, IM v.360. This session will be an informative discussion, directly addressing questions from our vibrant community. As we explore these new features together, we aim to enhance your understanding and application of IM v.360 in your educational settings.

A half-wave plate δ = π can be used to rotate the plane of linearly polarized light.  The angle of rotation is 2θ, where θ is the angle between the angle of polarization and the wave plate's fast axis.

360feedback questions

360-degree feedback PDF

IM K–5 math curriculum is needed right now because there is not a program that currently aligns to the math standards and practices while looking at coherence across the grade levels like IM is planning. In addition, they are using high leverage research based math teaching practices, including professional learning for teachers, reflection questions for teachers and coaches, and number routines that build upon each other through the K–5 progression. They are intentional about the visual models they are using at each grade level to help build a deep understanding of the math concepts.

360degree feedback template

We named the new edition of our curriculum “IM v.360” to distinguish this version from previous versions. The number “360” is all-embracing, all-encompassing, and all-inclusive. Similarly, IM v.360 is coherent, inclusive, and all-encompassing. It invites students to the math through engaging contexts and problems relevant to students’ experiences. We are proud to say that IM v.360 is the next evolution of our curriculum products!

IM v.360 powered by Kiddom unites ground-breaking technology with Illustrative Mathematics’ high-quality curriculum. Kiddom empowers educators to customize, implement, and measure the impact of IM v.360 on a simple, powerful platform. A full suite of digital tools and functionality creates dynamic, engaging learning experiences for students, while real-time data supports informed instructional choices.

Illustrative Mathematics is proud to offer dynamic, comprehensive support for teachers and leaders to successfully implement IM v.360 with integrity. Tools, strategies, and ongoing support help teachers integrate equitable, responsive, and effective teaching practices that allow students to authentically engage with mathematical concepts. IM Certified Professional Learning offers group sessions, available on-site and virtually, to help teachers and leaders implement the problem-based instructional model with confidence. IM Academy is designed to offer the same support to individuals looking to transform their teaching and use the IM curriculum to its fullest potential.

Imagine Learning, an IM Certified® Premium Digital Partner and IM v.360 curriculum provider, is in development for a new program across K-12 revision available for implementation beginning fall 2024. Click here to learn more.

In the Glan-Taylor polarizing prism shown on the right the rejected (ordinary) ray is absorbed by black mounting material in the prism housing.

The extraordinary ray violates both Snell’s Law and the Law of Reflection.  It is not necessarily confined to the plane of incidence.  Its speed changes with direction.  The index of refraction for the extraordinary ray is a continuous function of direction.  The index of refraction for the ordinary ray is independent of direction.  When the ordinary index of refraction is plotted against wavelength, the dispersion curve for the ordinary ray is a single unique curve.  The dispersion curve for the extraordinary ray is a family of curves with different curves for different directions.  A ray normally incident on a birefringent crystalline surface will be divided into two rays at the boundary, unless it is in a special polarization state or unless the crystalline surface is perpendicular to an optic axis.  The extraordinary ray will deviate from the incident direction while the ordinary ray will not.  The ordinary ray index n0 and the most extreme extraordinary ray index ne are together known as the principal indices of refraction of the material.  The direction of the lesser index is called the fast axis because light polarized in that direction has the higher speed.

360-degree feedback advantages and disadvantages

If a beam of linearly polarized monochromatic light enters a birefringent crystal along a direction not parallel to the optical axis of the crystal, the beam will may be divided into two separate beams.  Each will be polarized at right angles to the other, and they will travel in different directions.  The intensity of the original beam will be divided between the two new beams in a manner which depends on the original orientation of the electric field vector with respect to the crystal.  The ratio or the intensities of the two orthogonally polarized beams can have any value.

Our partners offer the ideal curriculum experience because they share our commitment to providing the IM Certified curriculum to all teachers and students as it is meant to be experienced, in the format needed to ensure success.

360degree assessment tool

A quarter-wave plate δ = π/2 can be used to convert linearly polarized light to circularly polarized light.  The incident linearly polarized light must be oriented at 45o to the wave plate's axes.  A half-wave plate δ = π can be used to rotate the plane of linearly polarized light.  The angle of rotation is 2θ, where θ is the angle between the angle of polarization and the wave plate's fast axis.

The two beams within the birefringent crystal are referred to as the ordinary and extraordinary ray, respectively.  The polarization of the extraordinary ray lies in the plane containing the direction of propagation and the optic axis, and the polarization of the ordinary ray is perpendicular to this plane.

IM v.360 is a cohesive, problem-based core curriculum built on the principle that all students are capable learners of grade-level mathematics. Students are encouraged to use their current understanding of math, their lived experiences, and the world around them as resources for problem solving. By starting with what students already know, teachers invite all students to contribute to mathematical learning, center their students’ thinking, and respond as students develop conceptual understanding.

Kendall Hunt Publishing, an IM Certified Partner and print provider of the new IM v.360 curriculum, will be integrating this new curriculum into their selection of K-12 products and programs later this Fall for implementation Fall 2024-2025. Sign up to receive IM v.360 updates exclusively from Kendall Hunt by clicking here and selecting NEW IM v.360.

Linearly polarized light is a special case of elliptically polarized light.  If the light is linearly polarized, then the two components oscillate in phase,  for example Ex = E0xexp(i(kz - ωt)), Ey = E0yexp(i(kz - ωt)), φ = 0.  The direction of E and the direction of propagation define a plane.  The electric vector traces out a straight line.  For example, E = Ei = E0xexp(i(kz - ωt))i.

Our Partner & Client Support Team is available to answer any questions you may have about IM v.360. Click here to schedule a call for a one-on-one meeting.

We made upgrades, enhancements, and revisions to the IM v.360 curriculum in response to the needs of teachers, school leaders, and students.

Imagine IM, from Imagine Learning, offers the comprehensive IM v.360 curriculum with enhanced resources. Imagine IM includes classroom-ready print books designed for usability. The digital experience offers customizable lessons, interactive tools, assessments, and exclusive features like digital centers and videos. Imagine Learning is IM’s original premium partner and supports districts to ensure implementation with integrity.

For enhanced teacher and student experiences in digital and print formats, visit our IM Certified® partners. The IM Certified® designation ensures that schools and districts are accessing curricular materials that are always up-to-date, high-quality, and aligned to IM’s vision.

All IM Certified® math curricula are research-driven and fully aligned to college and career-ready standards to ensure teachers have the tools needed to facilitate student success. Click here to see what’s new with IM v.360.