Mathematics

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Prescriptive Mathematics

For the courses most often needed to meet graduation requirements, prescriptive settings and pretests have been added to enable personalized learning for every student. Students are able to accelerate through content over which they have demonstrated mastery and are pointed to specific content based on areas of deficiency.  The prescriptive features help students efficiently recover credits.

Math 8

Math 8 delivers instruction, practice, and review designed to develop computational fluency, deepen conceptual understanding, and apply mathematical practices. In this course, students focus on understanding functions — what they are, how to represent them in different ways, and how to write them to model mathematical and real-world situations. In particular, students investigate linear functions by learning about slope and slope-intercept form. Students’ understanding of linear functions is extended to statistics, where they make scatter plots and use linear functions to model data. They solve linear equations and equations involving roots, and explore systems of linear equations. Additional topics include exponents, powers of ten, scientific notation, and irrational numbers. Students learn about transformations, and extend that understanding to an investigation of congruence and similarity. Other geometric concepts explored include the Pythagorean theorem, angle relationships, and volumes of cylinders, cones, and spheres.

The two-semester course is arranged in themed units, each with three to five lessons. Each lesson includes a variety of activities such as direct instruction, application of skills, performance tasks, and formative and summative assessments. Students engage with the subject matter in an interactive, feedback-rich environment as they progress through standards-aligned content and demonstrate their learning through computer- and teacher-scored assignments. By constantly honing the ability to apply their knowledge in abstract and real-world scenarios, students build the depth of knowledge and higher-order skills required to demonstrate their mastery when put to the test.

This course is built to state standards.

Geometry Prescriptive

Geometry builds upon students’ command of geometric relationships and formulating mathematical arguments. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.

Course topics include reasoning, proof, and the creation of sound mathematical arguments; points, lines, and angles; triangles and trigonometry; quadrilaterals and other polygons; circles; congruence, similarity, transformations, and constructions; coordinate geometry; three-dimensional solids; and applications of probability.

This course supports all students as they develop computational fluency and deepen conceptual understanding. Students begin each lesson by discovering new concepts through guided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them.

This course is built to state standards.

2 semesters, 1 credit

Introductory Algebra

Introductory Algebra provides a curriculum focused on foundational concepts that prepare students for success in Algebra I. Through a “Discovery-Confirmation-Practice”-based exploration of basic concepts, students are challenged to work toward a mastery of computational skills, to deepen their understanding of key ideas and solution strategies, and to extend their knowledge through a variety of problem-solving applications.

Course topics include integers; the language of algebra; solving equations with addition, subtraction, multiplication, and division; fractions and decimals; measurement; exponents; solving equations with roots and powers; multi-step equations; and linear equations.

Within each Introductory Algebra lesson, students are supplied with a scaffolded note-taking guide, called a Study Sheet, as well as a post-study Checkup activity that provides them the opportunity to hone their computational skills by working through a low-stakes, 10-question problem set before starting formal assessment. Unit-level Introductory Algebra assessments include a computer-scored test and a scaffolded, teacher-scored test.

The course is built to state standards and informed by the National Council of Teachers of Mathematics (NCTM).

2 semesters, 1 credit

Algebra II Prescriptive

Algebra II introduces students to advanced functions, with a focus on developing a strong conceptual grasp of the expressions that define them. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.

Course topics include quadratic equations; polynomial functions; rational expressions and equations; radical expressions and equations; exponential and logarithmic functions; trigonometric identities and functions; modeling with functions; probability and inferential statistics; probability distributions; and sample distributions and confidence intervals.

This course supports all students as they develop computational fluency and deepen conceptual understanding. Students begin each lesson by discovering new concepts through guided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them.

AP Calculus AB

In AP Calculus AB, students learn to understand change geometrically and visually (by studying graphs of curves), analytically (by studying and working with mathematical formulas), numerically (by seeing patterns in sets of numbers), and verbally. Instead of simply getting the right answer, students learn to evaluate the soundness of proposed solutions and to apply mathematical reasoning to real-world models. Calculus helps scientists, engineers, and financial analysts understand the complex relationships behind real-world phenomena. The equivalent of an introductory college-level calculus course, AP Calculus AB prepares students for the AP exam and further studies in science, engineering, and mathematics.

This course has been authorized by the College Board to use the AP designation.

2 semesters, 1 credit

*AP is a registered trademark of the College Board.

Semesters 1 and 2: Required

  • TI-84 Plus, TI-83, or TI-83 Plus Calculator
    Read “Getting Started” and chapter 1 in the TI Guidebook before the course starts.

Semesters 1 and 2: Optional

  • Calculus: Single Variable, 7th ed. James Stewart (Brooks/Cole, 2008).
    ISBN-10: 0538497831 / ISBN-13: 9780538497831
    Acceptable alternate: 6th ed. (2008). ISBN-10: 0495011614
    Acceptable alternate: 5th ed. (2003). ISBN-10: 0534393667
    Acceptable alternate: 4th ed. (1999). ISBN-10: 0534355625
  • Calculus of a Single Variable, 2nd ed. Jeffery A Cole, Michael Olinick, Dennis Pence, and Earl W. Swokowski (PWS, 1994).
    ISBN-10: 0534939244
    This book is out of print but you may find it used. It is interchangeable with the Stewart text listed above.
  • Cracking the AP Calculus AB & BC Exams, 2012 ed. David S. Kahn (Princeton Review, 2012).
    ISBN-10: 0375427201 / ISBN-13: 9780375427206
    Acceptable alternate: 2009 ed. ISBN-10: 0375428852
    Acceptable alternate: 2008 ed. ISBN-10: 0375766413
    Acceptable alternate: 2006–2007 ed. ISBN-10: 0534355625

Mathematics II Prescriptive

Mathematics II extends students’ geometric knowledge and introduces them to quadratic expressions, equations, and functions, exploring the relationship between these and their linear and exponential counterparts. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.

Course topics include extending the number system; quadratic functions and modeling; expressions and equations; applications of probability; similarity, right-triangle trigonometry, and proof; and circles with and without coordinates.

This course supports all students as they develop computational fluency and deepen conceptual understanding. Students begin each lesson by discovering new concepts through guided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them.

This course is built to state standards.

2 semesters, 1 credit

Mathematics

6-8 Grade Mathematics

Our math curriculum offers an online learning environment created for today’s tech-savvy students. They can get access to their lessons from an Internet-connected computer any time of the day on night, allowing them to learn outside the boundaries of time and space. Educators can also enjoy the benefits of anytime access to this fully online course. Automatic grading, lesson planning, and report generating can be done when time allows, instead of when time demands. Standards-based and robust, this course not only supports foundations in math, but builds computer skills and digital proficiency.

Math 6

Math 7

Math 8

9-12 Grade Mathematics

Prescriptive

Core

Honors

AP (Advanced Placement)

Foundations

Mathematics Foundations

Courses provide a complete breadth of standards coverage, depth of instruction, and integrated formative and summative assessments.

Mathematics I

Mathematics I builds students’ command of geometric knowledge and linear and exponential relationships. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.

Course topics include relationships between quantities; linear and exponential relationships; reasoning with equations; descriptive statistics; congruence, proof, and constructions; and connecting algebra and geometry through coordinates.

This course supports all students as they develop computational fluency and deepen conceptual understanding. Students begin each lesson by discovering new concepts through guided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them.

This course is built to state standards.

2 semesters, 1 credit