In this activity, learners investigate the speed of chemical reactions with light sticks. Learners discover that reactions can be sped up or slowed down due to temperature changes.

This is a booklet containing 11 problem sets and 9 "Extra for Experts" challenges. Learners use provided textual information to determine the scale (e.g., kilometers per millimeter) for images of the lunar surface, Mars, planets, stars and galaxies and then identify the smallest and largest features in the images according to their actual physical sizes. These problems involve measurement, dividing whole numbers, decimal mathematics, and scaling principles. Each set of problems is contained on one page. This booklet can be found on the Space Math@NASA website.

Now, more than ever, all students deserve access to engaging, challenging, grade-level math instruction. This is especially true for students who have been underserved such as students living in poverty, students from racially marginalized communities, students with learning differences, and students who are multilingual emergent. A commitment to equitable instruction requires that educators are intentional in identifying, celebrating, and building on knowledge that students have gained. It also requires that educators are strategic as they plan to address current and ongoing learning gaps. Starting the school year with weeks of review of prior-grade standards will result in a long-term loss of access to grade-level work that perpetuates inequities for historically marginalized students. This resource demonstrates that students who were impacted by interruptions to teaching and learning and subsequent learning losses are still able to access most grade-level standards this year without prior review, and that missed content can usually be integrated in a minimally-invasive way.

I usually begin with a story about lying on a cot looking up at the stars on a dark night in the mountains, seeing countless stars and the hazy Milky Way stretching across the sky. I talk about how they seem to be part of a celestial dome rising very high above me, and I note that I do not have any way to know, as I am looking at the stars above me, how far they are away from me. I talk about how ancient people used and envisioned the stars. I mention the experiment with the Hubble Space Telescope in which the "darkest" and most empty part of space was imaged, and found to contain countless distant galaxies (search on "Hubble deep field" or go to http://www.stsci.edu/ftp/science/hdf/hdf.html).
I mention that this often leads people to consider how insignificant they are in the scheme of things. My feeling is that you are only as significant (or insignificant) as your actions make you.
I then talk a bit about how we now know that "visible" matter is organized into atoms, which are very, very small. In a way, they are like the stars in that they seem to be incomprehensibly small, while stars seem to be incomprehensibly large and distant. I then pose the question, "How does the part of this world that we observe and experience on a daily basis fit into a physical reality that spans from the incomprehensibly small to the incomprehensibly large?"
I pass-out the blank worksheet "Comparison of Lengths Relevant to Our Universe" to every student, and have them organize into groups of 2-3. The task is to fill-in the exponents corresponding to 9 distances listed in a box on the page, and to locate those distances on the logarithmic scale. I give them a couple of minutes to start working with the page, and then interrupt to ask what they need help with. This usually involves determining one of the lengths involving light years on the board. I let them complete the tasks in their small groups, then I ask group representatives to call-out their results.
Working from a set of correct answers, we then discuss the scale. For example, we note that there is a greater difference (in orders of magnitude) between the size of a proton or electron versus the size of a hydrogen atom, and the height of a person and the peak elevation of Mt. Everest. It is usually noted that humans fall near the middle of the length spectrum of the universe, which was also noted by Primack and Abrams (2006). Some students place great importance on this. I tend to note that there is a practical limitation to the size of individual cells that will have predictable functions (they need to be larger than the length scale governed by quantum mechanics) and constraints on the upper size limit of organisms made of cells, which determines where we are on the scale.

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Students are asked to consider the expression that arises in physics as the combined resistance of two resistors in parallel. However, the context is not explicitly considered here. The task is good general preparation for problems more specifically aligned to either A-SSE.1 or A-SSE.2.

The purpose of this task is to help students see manipulation of expressions as an activity undertaken for a purpose.

In this activity, learners explore the size and scale of the universe by shrinking cosmic scale in 4 steps, zooming out from the realm of the Earth and Moon to the realm of the galaxies. This informational brochure was designed as a follow-up take-home activity for teen and adult audiences. It can follow informal education activities where participants have experienced related space science programming. This activity allows participants to explore ideas of size and scale in the universe at their own pace.

Spreadsheets Across Curriculum module. Students build spreadsheets to examine the price of gasoline, 1978-2005. QL: using ratios and proportions to make comparisons.

This short video and interactive assessment activity is designed to teach third graders about inequalities.

Inequalities are mathematical statements that connect unequal expressions.
This curriculum guide will help students understand inequalities, and be able to differentiate between inequality signs. They will solve inequality problems, being able to recognize problems where the inequality signs will need to change to arrive at a solution. Students will represent inequality solutions on a number line.

This short video and interactive assessment activity is designed to teach fifth graders about inequalities with addition and subtraction of fractions.

The purpose of this task is to probe students' ability to correlate symbolic statements about a function using function notation with a graph of the function, and to interpret their answers in terms of the quantities between which the function describes a relationship

These exercises are originally part of the KLaSS module developed by King's College London Library Services to provide information literacy e-learning to students across our faculties. They were built and developed with Adobe Captivate 9 and published in HTML5 format, suitable for use with Moodle.This set of exercises is designed to provide information literacy support to students in the Faculty of Natural & Mathematical Sciences, which encompasses subjects like Informatics, Computer Science, Mathematics and Geography. The database used to demonstrate the principles is Web of Science, a broad resource holding literature on a wide variety of STEM subjects.The lessons cover the following topics:Planning an effective literature search - how to focus a research question and identify its key topics and componentsFinding literature - how to use different search techniques like truncation in Web of ScienceFinding full text articles in Web of Science - how to use the SFX system to look up the full texts of search results, and what to do if you don't immediately get accessWeb of Science Search Tips - using slightly more advanced techniques to run better searches, like using phrase searchingCombining searches in Web of Science - how to use AND & OR to broaden and refine seaches in Web of Science to retrieve relevant articles and informationFiltering search results in Web of Science - how to use Web of Science's filtering options to futhere refine results and exclude irrelevant articlesEach topic has a demonstration video, narrated by the author Tom Edge.The exercises have been published in HTML5 format so they should be compatible with any modern LMS. The authors have only used these files in Moodle 3.0, so cannot offer support for another LMS.

This course explores the ultimate limits to communication and computation, with an emphasis on the physical nature of information and information processing. Topics include: information and computation, digital signals, codes and compression, applications such as biological representations of information, logic circuits, computer architectures, and algorithmic information, noise, probability, error correction, reversible and irreversible operations, physics of computation, and quantum computation. The concept of entropy is applied to channel capacity and to the second law of thermodynamics.

 Innovations in teaching of mathematics can be diversified in terms of Methods, Pedagogic Resources and Mastery Learning Strategy used in the teaching-learning process.

An interactive applet and associated web page that demonstrate the inscribed angle of a circle - the angle subtended at the periphery by two points on the circle. The applet presents a circle with three points on it that can be dragged. The inscribed angle is shown and demonstrates that it is constant as the vertex is dragged. Links to other related topics such as Thales Theorem. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

This task shows how to inscribe a circle in a triangle using angle bisectors. A companion task, ``Inscribing a circle in a triangle II'' stresses the auxiliary remarkable fact that comes out of this task, namely that the three angle bisectors of triangle ABC all meet in the point O.

This task is primarily for instructive purposes but can be used for assessment as well. Parts (a) and (b) are good applications of geometric constructions using a compass and could be used for assessment purposes but the process is a bit long since there are six triangles which need to be constructed.

This task provides an opportunity for students to apply triangle congruence theorems in an explicit, interesting context.

This problem introduces the circumcenter of a triangle and shows how it can be used to inscribe the triangle in a circle. It also shows that there cannot be more than one circumcenter.