Precalculus Course with newly added video content in Spanish in weeks 01 and 02, more to come.

This supplement is designed for MTH 243 at Portland Community College and is used in conjunction with OpenStax Statistics: https://openstax.org/details/introductory-statistics

This supplement is designed for MTH 244 at Portland Community College and is used in conjunction with OpenStax Statistics: https://openstax.org/details/introductory-statistics

This supplement is designed for MTH 244 at Portland Community College and is used in conjunction with OpenStax Statistics: https://openstax.org/details/introductory-statistics

This Module describes the MTSS, or RTI, framework as applied to mathematics. It includes discussions of how MTSS and RTI are related, as well as a description of instruction, assessment, and data-based decision making at each level of intensity: Tier 1, Tier 2, and Tier 3 (est. completion time: 2.5 hours).

This e-book is one of the results of the international project “The Magic of Sound” coordinated by XV. gimnazija, Zagreb, Croatia, with the partners: Devonport High School for Girls, Plymouth, United Kingdom, Justus-von-Liebig Gymnasium, Neußäs, Germany and Colegiul National Moise Nicoara, Arad, Romania. The project was funded by the European Union through the program Erasmus+.
Based on the existing curricula of all participating schools, we produced the teaching/ learning materials which could make education more interesting. As they are independent from the school system, they can be shared and further developed on a broad base.
The developed teaching/ learning materials and methods integrate the teaching of basic skills, as in science, mathematics, literacy and arts, and present strategies on how to simultaneously give students deeper insights into the global picture. They also provide students with the tools to interconnect their knowledge and apply it in different fields, which still presents one of the biggest challenges in education on the overall.
We chose sound as a topic because we found that it can be perfectly integrated in the subject curricula of Physics, Mathematics, Music, Languages, Biology, History and Psychology in all four countries. The sub-topics are organised in four groups around the main subjects - O1: Magic of Music, O2: Sounds in Nature, O3: Sounds of Europe, O4: Theory of Sound- which allowed us to establish a solid basis for the interdisciplinary teaching. In the final sub-topic, O5: The Magic of Sound, the techniques and examples on how to reorganise the materials in an arbitrary context are presented.
The materials are presented in a variety of forms: worksheets, methodological instructions, presentations, videos, quizzes, etc. There are examples of completely developed interdisciplinary units, but there are also shorter pieces that incorporate elements of general knowledge or other subject- specific links which enrich the teaching of a primary subject without overloading it. Some materials include evidence of students’ work.
Most of the materials are given in four languages of the participating countries, all of them in the English language. Topics to be incorporated in the teaching of languages are structured as follows: French is given separately, because it is not one of the four “official” languages, English given only in the sections in English, and German is given in all sections.
Some materials allow students to see the opportunities for future employment within the EU in the context of what has been taught, and to realize that being a part of Europe does not mean losing their identity, but enhance it in many positive ways. Together we are stronger.

This is a booklet containing 37 space science mathematical problems, several of which use authentic science data. The problems involve math skills such as unit conversions, geometry, trigonometry, algebra, graph analysis, vectors, scientific notation, and many others. Learners will use mathematics to explore science topics related to Earth's magnetic field, space weather, the Sun, and other related concepts. This booklet can be found on the Space Math@NASA website.

Learn about the fundamental connections between math and music, in four Acts: "Rhythm," "Frequency," "Harmony," and "Fractals." Concepts presented in the video documentary are reinforced by hands-on experiments using the Google Chrome Music Lab Experiments. Learn the instructional design process used in creation of The Majesty of Music and Math incorporating Universal Design for Learning and the methodology of assessing non-cognitive skills using a combination of gains in Experience Level, Depth of Knowledge, and Performance Quality.

The purpose of this task is for students to find different pairs of numbers that sum to 9.

A PBL project I did in my HS physics and math classes to allow students voice & choice in the design of a maker space my school was building. It followed the Buck Institute model and allowed students to prove mastery in a varitey of learning targets per topics in both courses (probability, geometry, functions, algebra, and trig in geometry and force, energy, electricity & magnetism, etc. in physics). Please feel free to remix this project to suit your own needs.

A PBL project I did in my HS physics and math classes to allow students voice & choice in the design of a maker space my school was building. It followed the Buck Institute model and allowed students to prove mastery in a varitey of learning targets per topics in both courses (probability, geometry, functions, algebra, and trig in geometry and force, energy, electricity & magnetism, etc. in physics). Please feel free to remix this project to suit your own needs.

Campaign for affordable textbooks. Web site contains a large catalogue of open textbooks.

This instructional task gives students a hands-on experience with composing and decomposing geometric figures.

This task is for students who know how to use base 10 blocks.

This task is a straightforward task related to adding fractions with the same denominator. The main purpose is to emphasize that there are many ways to decompose a fraction as a sum of fractions, similar to decompositions of whole numbers that students should have seen in earlier grades.

This resource describes the physics behind the formation of clouds, and provides a demonstration of those principles using a beaker, ice, a match, hot water, and a laser pointer. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

This tasks lends itself very well to multiple solution methods. Students may learn a lot by comparing different methods. Students who are already comfortable with fraction multiplication can go straight to the numeric solutions given below. Students who are still unsure of the meanings of these operations can draw pictures or diagrams.

This is the first of two fraction division tasks that use similar contexts to highlight the difference between the ŇNumber of Groups UnknownÓ a.k.a. ŇHow many groups?Ó (Variation 1) and ŇGroup Size UnknownÓ a.k.a. ŇHow many in each group?Ó (Variation 2) division problems.

This is the second of two fraction division tasks that use similar contexts to highlight the difference between the ŇNumber of Groups UnknownÓ a.k.a. ŇHow many groups?Ó (Variation 1) and ŇGroup Size UnknownÓ a.k.a. ŇHow many in each group?Ó (Variation 2) division problems.

The purpose of this instructional task is to motivate a discussion about adding fractions and the meaning of the common denominator. The different parts of the task have students moving back and forth between the abstract representation of the fractions and the meaning of the fractions in the context.