The Virginia Board of Education approved the proposed list of textbooks submitted on March 22, 2018. Read Board of Education Agenda Item A (Word) for more information. The approved textbooks on this webpage are correlated to the 2016 Mathematics Standards of Learning.

This introduction to the series invites students to become confident mathematics enthusiasts by introducing basic facts, explaining the not-so-basic operations that we use in our number system, and modeling excellent solutions.


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Our Mathematics Textbooks and Workbook series focuses on building a truly solid foundation of mathematical knowledge and skill, with deep explorations into algebra, geometry, and general logic and problem solving. In addition to the core content, these textbooks place a strong emphasis on communicating mathematics clearly, doing computations efficiently, and using common sense to check if answers and results make sense.

This textbook, Counting Rocks!, is the written component of an interactive introduction to combinatorics at the undergradaute level. Throughout the text, we link to videos where we describe the material and provide examples; see the Youtube playlist on the Colorado State University (CSU) Mathematics YouTube channel.

This is an introduction to probability theory, designed for self-study. It covers the same topics as the one-semester introductory courses which I taught at the University of Minnesota, with some extra discussion for reading on your own. The reasons which underlie the rules of probability are emphasized. Probability theory is certainly useful. But how does it feel to study it? Well, like other areas of mathematics, probability theory contains elegant concepts, and it gives you a chance to exercise your ingenuity, which is often fun. But in addition, randomness and probability are part of our experience in the real world, present everywhere and yet still somewhat mysterious. This gives the subject of probability a special interest.

Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

At the beginning of every topic, teachers are provided with support for the focus of the topic, how the topic fits into an overall coherence of the grade and across grades, the balance of rigor in the topic, and how the practices enrich the mathematics in the topic. Carefully designed learning progressions achieve coherence across grades:

A copy of a new, government-written fourth-grade textbook is held by Luz de Teresa Oteysa, researcher at the Institute of Mathematics of the UNAM, during an interview at her office in Mexico City, Friday, Aug. 4, 2023. A series of about three dozen government-written, free textbooks introduce a new teaching method, something never before done in Mexico, where in the past, each administration updated the texts but kept the subjects largely the same. (AP Photo/Fernando Llano)

But the new textbooks say it ran from the 1950s to 2016, just two years before Lpez Obrador took office. (While Lpez Obrador often invokes Cuba and rebel movements of the past, he has done very little that is overtly leftist during his tenure.)

The big ideas in grade 4 include: developing understanding and fluency with multi-digit multiplication, and developing understanding of dividing to find quotients involving multi-digit dividends; developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers; understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry.

Illustrative Mathematics is a non-profit organization committed to creating a world where learners know, use, and enjoy mathematics. Their highly respected authors craft and deliver high-quality, problem-based core curricula and professional learning resources that help teachers and students excel in teaching and learning mathematics.

All of CPM's Core Connections curriculum are online and in an easy to use digital format. Use as a direct replacement for printed textbooks or as a companion. CPM eBooks work across all device types and are always there when you need them.

During the 2022-2023 school year, FCS will review resources for textbook adoption for Mathematics in Grades K-12. The following resources are to be reviewed by all teachers and the public from March 27, 2023 - May 5, 2023:

Below you can find documents that provide information for the intentional progression of the standards by grade band (K-5, 6-8 and 9-12) and by strand. These are intended to provide mathematics educators with an overview of the standards progression of the B.E.S.T. Standards for Mathematics.

Bridges Practice Books provide activities and worksheets for additional skill review, informal paper-and-pencil assessment, preparation for standardized testing, and differentiated instruction. Each volume also includes answer keys and a complete listing of the student pages grouped by skill. Although originally written to complement Bridges in Mathematics First Edition, these books may be used with any math program. Note: These materials were developed prior to the publication of the Common Core State Standards. While the content retains its educational value, the grade level alignment may have shifted for some lessons and activities.

Strategies used for reading intervention are often applied to mathematics with unintended consequences. Watch this edWebinar to make sense of strategies to facilitate math small-group instruction effectively to ensure more equitable practices, and to create a shared image of teacher and student behaviors through authentic videos of pulled small group instruction in mathematics.

The most advanced students take a four-year honors sequence that culminates with the Advanced Placement BC Calculus exam as a senior. For those beginning this sequence in the 9th grade, the courses taken are Geometry H, Algebra2/TrigH, Analysis Honors and Advanced Placement BC Calculus.

PAUSD Board Policy allows high school students to challenge courses by examination (BP 6155). This examination is aligned to state-adopted content standards in mathematics taught in the course being challenged. If a student successfully challenges a course, a grade based on their results and units will be added to their transcript with a note indicating that the requirement was met by examination.

All mathematics classes at Gunn use both on-line and hand-held calculators. Students enrolled in Alg2 / TrigA or Alg2 / TrigH (or any higher class in the Advanced or Honors lanes) will need their own graphing calculator. The two most popular models are the TI-84 plus and the TI-Nspire. These calculators are required on the AP Calculus AB and BC exams and it is our job to get the students comfortable with them well ahead of time.

Recent research shows that grading student homework results in lower scores on quizzes and tests. Peer and self-assessment seem to be more effective strategies of correcting homework. Alfie Kohn outlines three consistent effects of letter or number grades: grades tend to reduce students' interest in the learning itself, grades tend to reduce students' preference for challenging tasks, and grades tend to reduce the quality of students' thinking. For this reason, most teachers count homework as an effort or participation grade. In other words, if students try hard and attempt all of the problems they will receive full credit.

As a rule, PAUSD Summer School is only for credit recovery, not for advancement (taking GEO A for rising 10th graders is the one exception). So we'd recommend enriching your students mathematical background by studying problem solving, contest math, or some other topic not offered at Gunn.

All Siyavula textbook content made available on this site is released under the terms of a Creative Commons Attribution License. Embedded videos, simulations and presentations from external sources are not necessarily covered by this license.

AII.2.Mathematical Concepts, Language, and Skills: The student will demonstrate the ability to analyze a wide variety of patterns and functional relationships using the language of mathematics and appropriate technology. ff782bc1db

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