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DEERING HIGH SCHOOL MATHEMATICS CURRICULUM
Cluster Coordinators: Donna Morrison, Melissa Labbe and Priya Natarajan
"An understanding of mathematics is crucial for informed citizens of a democracy. Mathematical and scientific methods are important tools for answering questions and solving problems in a multitude of situations. Deering’s mission statement makes acquisition of these tools a core academic expectation. The mathematics curriculum gives all students myriad opportunities to develop these tools."
Deering High School offers a wide range of mathematics courses at several levels. The standards of the National Council of Teachers of Mathematics and Maine’s Learning Results have been utilized to adapt our curriculum to the needs of all students. Students will experience problem solving, group work, connections to the real world and the use of calculators.
Students are required to take three mathematics courses, but are encouraged to take four or more courses. Most colleges require Algebra II as the minimum for admission. Students must earn six math credits and demonstrate mastery of the Maine Learning Results as measured by the SAT. Students may be required to take an entrance exam for some courses.
Standards for Honors Courses in Mathematics
- Student shows evidence of outstanding math skills and ability which could include standardized test data.
- Student shows evidence of self-motivation, i.e., work is completed on time, work is consistently of high quality, is willing to go beyond the basic requirements of a course, and willingness to work with others.
- Student shows evidence of well developed higher order thinking and problem - Solving capabilities.
Note: Since the study of mathematics is sequential, we encourage students to enroll in two math courses per year.
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DEERING HIGH SCHOOL
MATHEMATICS COURSE SEQUENCE
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COURSES AVAILABLE TO FRESHMAN AND UPPERCLASSMEN
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Freshman placement is dependent on 8'th grade student performance, 8'th grade teacher recommendation and recommended NWEA score ranges. In some case Pre-Algebra might be required to be fully prepared for the core sequence.
| PRE-ALGEBRA |
ALGEBRA 1 |
ACCELERATED MATHEMATICS 9
(AMP 9) |
| Yearlong |
Yearlong |
One Semester |
| One Semester |
One Semester |
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Honors |
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COURSES AVAILABLE TO UPPERCLASSMEN
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These courses are open to upperclassmen based on successful completion of Algebra I or AMP 9.
| GEOMETRY |
ALGEBRA II |
ACCELERATED MATHEMATICS 10
(AMP 10) |
| Applied |
Applied |
One Semester |
| College |
College |
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| Honors |
Honors |
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UPPER LEVEL COURSES
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Placement in these courses is dependent on successful completion of Algebra I, II and Geometry; or AMP 9 and AMP 10 .
Statistics and Probability
Advanced Mathematics Concepts
Accelerated Pre-Calculus Yearlong(TEAMS)
Accelerated Pre-Calculus One Semester
Calculus Honors
Calculus Honors For Advanced Placement
Advanced Placement AB
Advanced Placement BC
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THE MATHEMATICS COURSES AND DESCRIPTIONS
AT DEERING HIGH SCHOOL
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COURSE TITLE: FUNDAMENTALS OF MATHEMATICS
Course Number:
Prerequisite:
Credit:
Open to:
Description:
COURSE TITLE: PRE-ALGEBRA
Course Number: 1414
Prerequisite: Passing grade in 8th-grade math, or grade of C or D in 8th grade Pre-Algebra, or grade of D in 8th grade Algebra I. Students must demonstrate adequate acquisition of basic number sense and whole number skills as measured by a score range of 200-215 on the NWEA 6+ Goals Survey.
Hours: 5 blocks per week, full year (two semesters)
Credit: 4 credits
Open to: Grades 9-12
Description: This two-semester course is designed to help students continue their development of skills and concepts of number sense and estimation of whole numbers, fractions, decimals, and integers. Problem solving situations are used to review and teach operations on integers, fractions, decimals, and percents. Probability is a strand throughout the course. Students build a conceptual base for fundamental concepts of algebra, including variables, equations, inequalities, and coordinate graphing. The development of conceptual understanding of mathematical problem solving and reasoning skills is emphasized throughout the course.
COURSE TITLE: PRE-ALGEBRA
Course Number: 1414X
Prerequisite: Passing grade in 8th-grade math, or grade of C or D in 8th grade Pre-Algebra, or grade of C in 8th grade Algebra I or teacher recommendation. Students must demonstrate adequate acquisition of basic number sense and whole number skills as measured by a score range of 210-225 on the NWEA 6+ Goals Survey.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 9-12
Description: This one-semester course offers a faster-paced review of the skills and concepts of 1414. The course is designed to help students continue their development of number sense and estimation of whole numbers, fractions, decimals, and integers. Problem solving situations are used to review and teach operations on integers, fractions, decimals, and percents. Probability is a strand throughout the course. Students build a conceptual base for fundamental concepts of algebra, including variables, equations, inequalities, and coordinate graphing. The development of conceptual understanding of mathematical problem solving and reasoning skills is emphasized throughout the course.
Course Title: Algebra I Yearlong
Course Number: 1412Y
Prerequisite: Grade of C in 8th-grade Algebra I or grade of A or B in 8th-grade Pre-Algebra or passing grade in 9th-grade Pre-Algebra or teacher recommendation. Students must demonstrate adequate acquisition of basic number sense and whole number skills as measured by a minimum score range of 220-240 on the NWEA 6+ Goals Survey.
Hours: 5 blocks per week, full year (2 semesters)
Credit: 4 credits
Open to: Grades 9, 10
Description: This course is a two-semester college math course. The pace of this course is adjusted to suit the student who is interested in a college preparatory sequence but needs more time to develop skills than is possible in a one-semester course. This college math course is designed to develop basic algebraic skills. Topics introduced are algebraic expressions, equations, rational numbers, polynomials, exponents, radicals, factoring, rational expressions, solving and graphing linear equations and inequalities, probability, and statistics. A scientific calculator is required.
COURSE TITLE: ALGEBRA I: PART I (SEMESTER 1) AND PART II (SEMESTER 2)
Course Number: 1413, 1424
Prerequisite: Passing grade in 9th-grade Pre-Algebra 1414X or teacher recommendation. Students must demonstrate adequate acquisition of basic number sense and whole number skills as measured by a score range of 220-240 on the NWEA 6+ Goals Survey.
Hours: 5 blocks per week, full year (two semesters)
Credit: 4 credits
Open to: Grades 9, 10
Description: This course is part of a two-semester college math sequence. Students must enroll in both 1413 and 1424 in the same year. Students must pass 1413 to continue to 1424. The pace of this course is adjusted to suit the student who is interested in a college preparatory sequence but needs more time to develop skills than is possible in a one-semester course. This college math course is designed to develop basic algebraic skills. Topics introduced are algebraic expressions, equations, rational numbers, polynomials, exponents, radicals, factoring, rational expressions, solving and graphing linear equations and inequalities, probability, and statistics. A scientific calculator is required.
Course Title: Algebra I Yearlong
Course Number: 1412Y
Prerequisite: Grade of C in 8th-grade Algebra I or grade of A or B in 8th-grade Pre-Algebra or passing grade in 9th-grade Pre-Algebra or teacher recommendation. Students must demonstrate adequate acquisition of basic number sense and whole number skills as measured by a minimum score range of 220-240 on the NWEA 6+ Goals Survey.
Hours: 5 blocks per week, full year (2 semesters)
Credit: 4 credits
Open to: Grades 9, 10
Description: This course is a two-semester college math course. The pace of this course is adjusted to suit the student who is interested in a college preparatory sequence but needs more time to develop skills than is possible in a one-semester course. This college math course is designed to develop basic algebraic skills. Topics introduced are algebraic expressions, equations, rational numbers, polynomials, exponents, radicals, factoring, rational expressions, solving and graphing linear equations and inequalities, probability, and statistics. A scientific calculator is required.
COURSE TITLE: ALGEBRA I
Course Number: 1412
Prerequisite: Grade of C in 8th-grade Algebra I or grade of A or B in 8th grade Pre-Algebra or teacher recommendation. Students must demonstrate adequate acquisition of basic number sense and whole number skills as measured by a minimum score of 240 on the NWEA 6+ Goals Survey.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grade 9
Description: This college math course is designed to develop basic algebraic skills. Topics introduced are algebraic expressions, equations, rational numbers, polynomials, exponents, radicals, factoring, rational expressions, solving and graphing linear equations and inequalities, probability, and statistics. A scientific calculator is required.
COURSE TITLE: ALGEBRA I HONORS
Course Number: 1411
Prerequisite: Grade of A or B in 8th-grade Algebra I or grade of C in 8th grade Accelerated Algebra or teacher recommendation. Students must demonstrate adequate acquisition of basic number sense and whole number skills as measured by a score range of 240-250 on the NWEA 6+ Goals Survey.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grade 9
Description: This honors math course is a rigorous and fast-paced course that emphasizes the conceptual understanding of algebra, problem solving and reasoning. Topics to be mastered are algebraic expressions, equations, rational numbers, polynomials, exponents, radicals, factoring, rational expressions, solving and graphing linear equations and inequalities, probability, and statistics. The TI-83 Plus graphing calculator is used for instruction. A graphing calculator is needed.
COURSE TITLE: ACCELERATED MATH PROGRAM (GRADE 9)
Course Number: 1410
Prerequisite: Grade of A or B in 8th grade Accelerated Algebra I, or grade of A in 8th grade Algebra I, successful completion of the “Summer Math Review” or teacher recommendation. Students must demonstrate adequate acquisition of basic number sense and whole number skills as measured by a score range of 250 and above on the NWEA 6+ Goals Survey.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grade 9
Description: This course is a continuation of the accelerated math program begun in grades seven and eight. It is also appropriate for the student who excels in 8th grade Algebra I and desires a rigorous and fast-paced course covering content from both Geometry and Algebra II. The Geometry content includes the topics of congruence, similarity, deductive reasoning, constructions, transformations, inequalities, quadrilaterals, circles, triangles, area, volume, and angle relationships. The Algebra II content includes the topics of functions and relations, linear functions, and systems of equations and inequalities. A “Summer Math Review” reading and assessment are required to demonstrate the understanding of essential knowledge and skills needed for Accelerated Math Program Grade 9. The TI-83 Plus graphing calculator is used for instruction. A graphing calculator is needed.
COURSE TITLE: GEOMETRY APPLIED
Course Number: 1425
Prerequisite: Passing grade in Algebra I (1413/1424 or 1412) or teacher recommendation
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 10/11
Description: Students will be introduced to the basics of Euclidean geometry in this course. Emphasis is placed on developing an understanding of the concepts, including the language of geometry, congruence, similarity, Pythagorean Theorem, coordinate geometry, circles, area, volume, and two-dimensional and three-dimensional figures. A scientific calculator is required.
COURSE TITLE: GEOMETRY
Course Number: 1422
Prerequisite: Grade of C or above in 9th grade Algebra I (1412) or average grade of B or above in Algebra I (1413/1424) or teacher recommendation
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grade 10
Description: Geometry is a college-preparatory course in Euclidean Geometry. The course extends the basic concepts and skills introduced in Algebra I. Concepts will include congruence, similarity, Pythagorean Theorem, right triangles and trigonometry, circles, area, volume, coordinate geometry, and an introduction to proof. Students will have the opportunity to solve problems in many real-world contexts using a variety of strategies. A scientific calculator is required.
COURSE TITLE: GEOMETRY HONORS
Course Number: 1421
Prerequisite: Grade of A or B in 9th grade Algebra I Honors, Algebra I (1412) teacher recommendation, or an honors grade on the Algebra I placement exam
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 9, 10 (Second Semester)
Description: This course offers an intensified and advanced study of Euclidean geometry. Concepts will include linear relationships, congruence, similarity, polygons, Pythagorean Theorem, right triangles and trigonometry, circles, area, volume, coordinate geometry, and an introduction to proof. Students will have the opportunity to develop and apply a wide variety of complex thinking skills and problem-solving strategies. Emphasis is also placed on understanding how geometry concepts were developed and justified. A scientific calculator is required.
COURSE TITLE: ACCELERATED MATH PROGRAM (GRADE 10)
Course Number: 1420
Prerequisite: Grade of A or B in 9th Grade Accelerated Math, or teacher recommendation
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grade 10
Description: This course is a continuation of the accelerated math program begun in grade nine. The algebra content includes the topics of quadratic functions and complex numbers, exponential and logarithmic functions, rational functions, irrational algebraic functions, quadratic relations, higher degree functions, sequences and series, and probability. It will introduce trigonometry whenever time allows. The TI-83 Plus graphing calculator is used for instruction. A graphing calculator is needed.
COURSE TITLE: ALGEBRA II APPLIED
Course Number: 1433
Prerequisite: Passing grade in Algebra I (1412 or 1424) or teacher recommendation.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 10, 11, 12
Description: This course reviews and extends the basic concepts and skills introduced in Algebra I. Topics include equations and inequalities, linear and quadratic functions, systems of equations and inequalities, and sequences and series. This course may not meet admissions requirements for certain colleges. College-bound students should take Algebra II (1432) after this course. A scientific calculator is required.
COURSE TITLE: ALGEBRA II
Course Number: 1432
Prerequisite: Grade of C or above in Algebra I (1413/1424 or 1412) or passing grade in Algebra II Applied or teacher recommendation.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 10, 11, 12
Description: This course prepares students for Advanced Mathematics Concepts or Statistics and Probability. This college preparatory course extends the basic concepts and skills introduced in Algebra I. Topics include equations and inequalities, linear and quadratic functions, systems of equations and inequalities, rational exponents, absolute value equations and inequalities, and the arithmetic of irrational and complex numbers. Students will have the opportunity to solve problems in many real-world contexts using a variety of strategies. Algebra II may be taken concurrently with or before Geometry. The TI-83 Plus graphing calculator is used for instruction. A scientific calculator is required.
COURSE TITLE: ALGEBRA II HONORS
Course Number: 1431
Prerequisite: Grade of A or B in Algebra I Honors or teacher recommendation
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 9-12
Description: This course prepares students for Accelerated Pre-Calculus. If the student plans to enroll in Accelerated Pre-Calculus 1430 in the “TEAMS” approach, this course should be taken during the sophomore year. This course offers a more advanced study of algebra. Topics include equations and inequalities in two and three variables, linear and quadratic functions, systems of two-variable equations and inequalities, systems of three-variable equations, rational exponents and functions, absolute value equations and inequalities, sequences and series, the arithmetic of irrational and complex numbers, conic sections, and quadratic systems. Students will have the opportunity to develop and apply a wide variety of complex thinking skills and problem-solving strategies. Algebra II Honors may be taken concurrently with or before Geometry Honors. The TI-83 Plus graphing calculator is used for instruction. A graphing calculator is required.
COURSE TITLE: ADVANCED MATHEMATICS CONCEPTS
Course Number: 1437
Prerequisite: Grade of A or B in Algebra II AND Geometry or grade of C or above in Algebra II Honors AND Geometry Honors or teacher recommendation.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 10, 11, 12
Description: This course follows Algebra II in the college preparatory sequence. The content will expand on topics covered in Geometry and Algebra II showing connections to the real world and between courses. Topics include trigonometry with an emphasis on circular functions, absolute value, functions, relations, graphing, logarithms, and topics of discrete mathematics. The TI-83 Plus graphing calculator is used for instruction. A scientific calculator is required.
COURSE TITLE: ACCELERATED PRE-CALCULUS
Course Number: 1430 if taken with 1531 “TEAMS” semesters 1 & 2
1436X if taken as stand-alone
Prerequisite: Grade of A or B in 9'th or 10th Grade Accelerated Math or grade of A in Algebra II Honors or grade of A in Advanced Math Concepts or teacher recommendation; and successful completion of “Summer Math Review”.
Hours: 1430: year long
1436X: one semester
Credit: 2 credits
Open to: Grades 11, 12
Description: Pre-calculus topics include functions, relations, graphing, logarithms, trigonometry with an emphasis on circular functions, and topics of discrete mathematics. This course is intensive with homework in quantity each night. It also has rigorous demands for learning difficult concepts during long periods of concentration. A “Summer Math Review” reading and assessment are required to demonstrate the understanding of essential knowledge and skills needed for pre-calculus. The TI-83 Plus graphing calculator is used for instruction. (Graphing calculator is required)
Accelerated Pre-Calculus 1430 may be taken in combination with Honors Physics 1531 in a “TEAMS” approach. In this program, a math teacher and a science teacher integrate the concepts and skills of mathematics with those of physics. This combined program is an advantage for students who plan to take AP Calculus.
COURSE TITLE: CALCULUS HONORS
Course Number: 1451, 1451X
Prerequisite: Grade of A or B in Accelerated Pre-Calculus or teacher recommendation; successful completion of Summer Math Review.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 11, 12
Description: Calculus Honors examines differential and integral calculus of elementary functions, and is intensive with homework in quantity each night. It also has a rigorous demand for learning difficult concepts during long periods of concentration. A Summer Math Review assignment and assessment may be required to demonstrate the understanding of essential knowledge and skills needed for Calculus. A graphing calculator is required. The TI-83 Plus graphing calculator is used for instruction.
Calculus Honors 1451 is the prerequisite for AP Calculus 1440, and is taught in the fall semester only. This course will require students to understand the construction and application of calculus concepts using the vocabulary and analytical processes required for the AP Exam. Students should expect a fast pace and a heavy emphasis on problem solving.
Calculus Honors 1451X is taken as a stand-alone course of pure mathematics, and is an excellent preparation for a college-level calculus course. Students will develop preliminary understandings of calculus concepts and will learn how to apply them in a variety of contexts. Students will also synthesize their past mathematics understandings and learn vocabulary that will be useful in a college-level mathematics course.
COURSE TITLE: AP CALCULUS AB AND BC
Course Number: 1440
Prerequisite: Grade of A or B in Calculus Honors 1451 or teacher recommendation. Students are placed into AB and BC based on their achievement in 1451 and their personal goals.
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grade 12
Description: This is the second part of a two-term sequence that begins with Calculus Honors 1451 in differential and integral calculus preparing students to take the Calculus AB or Calculus BC Advanced Placement examination. A “Summer Math Review” assignment and assessment are required to demonstrate the understanding of essential knowledge and skills needed for AP Calculus. Students are required to be proficient in the use of graphing calculators and purchase a TI-83 Plus. Students are required to take the AP exam. The exam, administered in May, costs the student approximately $83. (The College Board provides criteria to qualify for reduced fee. See the AP Coordinator for the criteria).
COURSE TITLE: STATISTICS & PROBABILITY
Course Number: 1438
Prerequisite: Passing grade in Algebra II or teacher recommendation
Hours: 5 blocks per week, one semester
Credit: 2 credits
Open to: Grades 10, 11, 12
Description: This course is designed for any student planning to attend college and major in business or the social sciences. The content involves the organization and analysis of data, and the prediction of events and tendencies based on that data. With the increased use of technology in most college majors, the study of statistics and probability has become increasingly more important. The TI-83 Plus graphing calculator is used for instruction. A graphing calculator is needed.
Course Title: Personal Finance
Course Number: 1400
Prerequisite: None
Hours: 5 blocks per week, one quarter
Credit: 1 credit
Open to: Grades 9, 10, 11, 12
Description: This course offers an introduction to topics such as personal loans, credit cards, installment buying, mortgages, real estate transactions, leases, stocks, bonds, checking and savings accounts, insurance and taxes, with an emphasis on consumer credit wisdom.
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