Mathematics




In order for students to be a productive member of our society in today's highly technical world, students must transcend mere rote computation and be able to use mathematics and critical thinking as a powerful tool to solve problems and understand the world in which we live.  Therefore, CREC students will learn mathematics that focuses on making sense of the concepts they study through a rich experience that values active participation, perseverance, and attending to precision both in written and verbal forms.  


The CREC high schools utilize a teacher developed curriculum that use the Connecticut Core State Standards and highlights some of the best resources for teaching mathematics such as Illustrative Mathematics, The Mathematics Assessment Project, the Connecticut model curriculum among others.   


Throughout each unit, students of all ages will: 

  • Collaborate with peers and investigate real world problems that highlight mathematical concepts and skills. 

  • Communicate and share strategies (formulaic, conceptual, or procedural) during lessons to explain math concepts or solve problems. 

  • Practice current skills at their independent level while teachers work with students individually or in small groups.

  • Extend their own learning by grappling with challenging mathematics during small group instruction with flexible grouping and targeted instruction. 

  • Engage in various instructional routines such as Number Talks, the 5 Practices for Productive Discussions, Which one Doesn’t Belong, among others. 



Grade Level

Sequence Option #1

Sequence Option #2

(Passed Algebra 1 in 8th Grade)

9

Algebra 1

Geometry

10

Geometry

Algebra 2

11

Algebra 2

PreCalculus

12

PreCalculus

AP Statistics*

Statistics*

Advanced Mathematical Decision Making*

Advanced Topics in Algebra*

AP Calculus AB

AP Calculus BC*

AP Statistics*


These are typical routes taken by students. Movement between courses/sequences is possible from year to year based on student performance, teacher recommendation, and potential summer mathematics coursework. Starred (*) course may not be offered at all schools. Individual Magnet Schools offer courses based on their theme and level of student interest. A sampling of courses is below. An extensive list of course offerings can be seen in the program of studies for a specific school.

MATHEMATICS


ALGEBRA 1 (GRADE 9)

Algebra I units of study deepen and extend understanding of linear and exponential relationships by contrasting them with each other and applying linear models to data that exhibit a linear trend.  Students engage in methods of analyzing, solving, and using quadratic functions. Students will extend their knowledge of the number system to include irrational numbers. Students will use technology and models to investigate and explore mathematical ideas and relationships to develop multiple strategies for analyzing complex situations verbally, numerically, graphically, and symbolically.  The Mathematical Practice Standards apply throughout the course, and along with the Connecticut Core content standards, ensure that students will apply mathematical skills and make meaningful connections to life’s experiences.  Active learning will be enhanced with technology-rich instruction including computer applications, and the use of graphing or the desmos calculators.  



GEOMETRY

Prerequisite:  Successful completion of Algebra 1

Geometry units enable students to develop analytic and spatial reasoning skills and move towards formal mathematical arguments and constructions. Students study probability and statistics so they can create arguments and justify conclusions by applying their statistical reasoning.  Student also will apply what they know about two-dimensional figures to three-dimensional figures in real-world contexts, build spatial visualization skills, and deepen their understanding of shape and shape relationships. Students develop deductive reasoning skills that can be applied to both mathematical and real-world problem contexts.   The Mathematical Practice Standards apply throughout the course, and along with the Connecticut Core content standards, ensure that students will apply mathematical skills and make meaningful connections to life’s experiences.  Active learning will be enhanced with technology-rich instruction including computer applications, and the use of graphing or desmos calculators as well as Geogebra geometry applications. 



ALGEBRA II 

Prerequisite:  Successful completion of Algebra 1 and Geometry

Algebra 2 extends and applies the concepts of Algebra I and Geometry. The curriculum includes the study of functions including polynomial, radical, rational, exponential, logarithmic and trigonometric. Students will use technology and models to investigate and explore mathematical ideas and relationships to develop multiple strategies for analyzing complex situations verbally, numerically, graphically, and symbolically.  The Mathematical Practice Standards apply throughout the course, and along with the Connecticut Core content standards, ensure that students will apply mathematical skills and make meaningful connections to life’s experiences.  Active learning will be enhanced with technology-rich instruction including computer applications, and the use of graphing or desmos calculators.  



PRE-CALCULUS 

Prerequisite:  Successful completion of Algebra I, Geometry, and Algebra 2

Pre-calculus extends and applies the concepts of all their previous courses.  The curriculum includes a study of trigonometric relationships, matrices and systems, vectors, conics and limits. Students will use technology and models to investigate and explore mathematical ideas and relationships to develop multiple strategies for analyzing complex situations verbally, numerically, graphically, and symbolically.  The Mathematical Practice Standards apply throughout the course, and along with the Connecticut Core content standards, ensure that students will apply mathematical skills and make meaningful connections to life’s experiences.  Active learning will be enhanced with technology-rich instruction including computer applications, and the use of graphing or desmos calculators. 



STATISTICS (NOT AP LEVEL)

Prerequisite:  Successful completion of Algebra I and Algebra 2 OR concurrent enrollment in Algebra 2

Statistics is meant to deepen students understanding of how data analysis can be used to understand data sets.  Students learn about data classification, quantitative measure of center and variance, as well as how to design studies to measure the impact of treatments.  They also get a better understanding of how probability plays a role in distributions and confidence intervals. The Mathematical Practice Standards apply throughout the course along with the Connecticut Core and NCES Statistical standards.  Students will apply mathematical skills and make meaningful connections to life’s experiences and develop statistical literacy skills.  Active learning will be enhanced with technology-rich instruction including computer applications, and the use of graphing or desmos calculators.  



ADVANCED TOPICS IN ALGEBRA- offered to grades 11 & 12 

Prerequisite:  Successful completion of Algebra 1, Geometry and  Algebra II

Advanced Topics in Algebra is course offered to juniors and seniors who want to expand on the concepts of Algebra I, Algebra 2 and Geometry. This course will provide students with the opportunity to deepen their understanding of functions, graphs, systems of linear equations, polynomials and factoring, quadratic equations, exponents and radicals, exponential and logarithmic functions, probability and statistics, matrices and linear systems.  The Mathematical Practice Standards apply throughout the course, and along with the Connecticut Core content standards, ensure that students will apply mathematical skills and make meaningful connections to life’s experiences.  Active learning will be enhanced with technology-rich instruction including computer applications, and the use of graphing or the desmos calculators.  

 


ADVANCED MATHEMATICAL DECISION MAKING

Prerequisite:  Successful completion of Algebra 1, Geometry, Algebra II

Advanced Mathematical Decision Making is a mathematics course which follows Algebra II.  It is designed as an 11th or 12th-grade alternative to pre-calculus or as an elective to accompany or follow pre-calculus.  AMDM builds on, reinforces, and extends what students have learned and covers a range of mathematics topics that are not part of most high school mathematics programs.  AMDM emphasizes statistics and finance and includes advanced work on numerical reasoning (using specialized indices, formulas, and ratios), as well as algebraic and geometric modeling and topics from discrete mathematics.

The course offers student activities in a range of applied contexts and helps students develop college and career readiness skills.  The Mathematical Practice Standards apply throughout the course, and along with the Connecticut Core content standards, ensure that students will apply mathematical skills and make meaningful connections to life’s experiences.  Active learning will be enhanced with technology-rich instruction including computer applications, and the use of graphing or the desmos calculators.  



AP CALCULUS AB

Prerequisite:  Successful completion of Algebra 1, Geometry, Algebra II

AP Calculus has been designed by the College Board.  Their description of the course is as follows: “AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.”(College Board’s AP Website)



AP CALCULUS BC

Prerequisite:  Successful completion of Algebra 1, Geometry, Algebra II

AP Calculus has been designed by the College Board.  Their description of the course is as follows: “AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series. This course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. You will learn how to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations.

You will also learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.”(College Board’s AP Website)

 

AP STATISTICS

Prerequisite:  Successful completion of Algebra 1, Geometry, Algebra II

AP Calculus has been designed by the College Board.  Their description of the course is as follows: ”The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.”(College Board’s AP Website)


See individual program of studies courses for additional mathematics courses offered at a specific school.


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