Worcester Public Schools Math Course Descriptions

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WPS Mathematics Course Descriptions
last modified on 2/8/16 9:00 PM
High School Math Courses
1010, 1013, 1014, 1015, 1016, 1017, 1018
Algebra I
In this course, students will deepen and extend understanding of linear and exponential relationships;
contrast linear and exponential relationships with each other and engage in methods for analyzing,
solving, and using quadratic functions; extend the laws of exponents to square and cube roots; and
apply linear models to data that exhibit a trend. Students will study properties and operations of the
real number system; evaluate rational algebraic expressions; solve linear equations and inequalities;
graph linear, quadratic and exponential equations; translate word problems into equations; perform
operations on and factor polynomials; and solve simple quadratic equations.
1012, 1019
Algebra I
In this course, students will deepen and extend understanding of linear and exponential relationships;
contrast linear and exponential relationships with each other and engage in methods for analyzing,
solving, and using quadratic functions; extend the laws of exponents to square and cube roots; and
apply linear models to data that exhibit a trend. Students will study properties and operations of the
real number system; evaluate rational algebraic expressions; solve linear equations and inequalities;
graph linear, quadratic and exponential equations; translate word problems into equations; perform
operations on and factor polynomials; and solve simple quadratic equations. As an honors-level course,
content will be covered at an accelerated pace. Students will study topics at a deeper level and will be
expected to complete more independent coursework and assignments.
1020, 1023, 1024, 1025, 1026, 1027, 1028
Geometry
In this course, students will establish criteria for congruence of triangles based on rigid motions;
establish criteria for similarity of triangles based on dilations and proportional reasoning; informally
develop explanations of circumference, area, and volume formulas; apply the Pythagorean Theorem to
the coordinate plane; prove basic geometric theorems; and extend work with probability. Students will
explore more complex geometric situations and deepen their explanations of geometric relationships,
presenting and hearing formal mathematical arguments. Transformations are emphasized in this course.
1022, 1029
Geometry
In this course, students will establish criteria for congruence of triangles based on rigid motions;
establish criteria for similarity of triangles based on dilations and proportional reasoning; informally
develop explanations of circumference, area, and volume formulas; apply the Pythagorean Theorem to
the coordinate plane; prove basic geometric theorems; and extend work with probability. Students will
explore more complex geometric situations and deepen their explanations of geometric relationships,
presenting and hearing formal mathematical arguments. Transformations are emphasized in this course.
As an honors-level course, content will be covered at an accelerated pace. Students will study topics at a
deeper level and will be expected to complete more independent coursework and assignments.
WPS Mathematics Course Descriptions
1040, 1043, 1044, 1045, 1046, 1047, 1048
last modified on 2/8/16 9:00 PM
Algebra II (formerly Advanced Algebra)
In this course, students will perform operations on rational expressions; expand understandings of
functions and graphing to include trigonometric functions; synthesize and generalize functions and
extend that understanding to logarithmic functions; relate data display and summary statistics to
probability, and explore a variety of data collection methods. Students continue to expand and hone
their abilities to model situations and solve complicated equations, including solving quadratic equations
over the set of complex numbers and solving exponential equations using the properties of logarithms.
1042, 1049
Algebra II (formerly Advanced Algebra)
In this course, students will perform operations on rational expressions; expand understandings of
functions and graphing to include trigonometric functions; synthesize and generalize functions and
extend that understanding to logarithmic functions; relate data display and summary statistics to
probability, and explore a variety of data collection methods. Students continue to expand and hone
their abilities to model situations and solve complicated equations, including solving quadratic equations
over the set of complex numbers and solving exponential equations using the properties of logarithms.
As an honors-level course, content will be covered at an accelerated pace. Students will study topics at a
deeper level and will be expected to complete more independent coursework and assignments.
1062, 1069
Pre-Calculus
In this course, students will extend work with complex numbers; expand understanding of logarithms
and exponential functions; use characteristics of polynomial and rational functions to sketch graphs of
those functions; and perform operations with vectors. Pre-calculus combines the trigonometric,
geometric, and algebraic techniques needed to prepare students for the study of calculus, and
strengthens students’ conceptual understanding of problems and mathematical reasoning in solving
problems. Facility with these topics is especially important for students intending to study calculus,
physics, and other sciences, and/or engineering in college. As an honors-level course, content will be
covered at an accelerated pace. Students will study topics at a deeper level and will be expected to
complete more independent coursework and assignments.
1071
Advanced Placement Calculus AB
In this course, students will gain an intuitive understanding of the concepts of calculus and experience
with its methods and applications. This course introduces calculus and includes the following topics:
elementary functions; properties of functions and their graphs; limits and continuity; differential
calculus (including definition of the derivative, derivative formulas, theorems about derivatives,
geometric applications, optimization problems, and rate-of-change problems); and integral calculus
(including antiderivatives and the definite integral). As an Advanced Placement course, college level
content will be covered. Students will take the Advanced Placement Examination.
WPS Mathematics Course Descriptions
1081
last modified on 2/8/16 9:00 PM
Advanced Placement Statistics
In this course, students will be introduced to the major concepts and tools for collecting, analyzing, and
drawing conclusions from data. Students will be exposed to four broad conceptual themes: exploring
data, sampling and experimentation, anticipating patterns, and statistical inference. As an Advanced
Placement course college level content will be covered. Students will take the Advanced Placement
Examination.
1193, 1194, 1196
Algebraic Reasoning
In this course, students will accelerate their understanding of Algebra where curricular gaps may exist;
upon successful completion of this course the student will be prepared for entry-level college
coursework. This course addresses operations of real numbers, graphs of linear equations and
inequalities, arithmetic on polynomial expressions, properties of exponents, perimeters and areas of 2D
figures, scientific notation, and intrasystem metric conversions. Students will factor polynomials,
perform arithmetic operations on rational expressions and complex fractions, solve rational, quadratic
and literal equations; apply the Pythagorean Theorem to solve problems, simplify radical expressions
containing numerical and variable radicands, and solve systems of linear equations.
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