Mathematics

 

3105A/3105E: Algebra I-Semester 1 (0.5 credit, Gr. 9-12)

3105B/3105D: Algebra I-Semester 2 (0.5 credit, Gr. 9-12)

Prerequisite for Semester 2: Algebra I-Semester 1

This course deepens and extends the understanding of expressions, equations, and functions studied in middle school math.  The focus will be on: 10 relationships between quantities and reasoning with equations, 2) linear and exponential relationships, 3) polynomial expressions and equations, and 4) quadratic functions and modeling. Students will analyze, solve and use functions to model situations. The Mathematical Practice Standards will be applied throughout this course.

 

3126A-Core Math 1-(1/2 GLOBAL ELECTIVE unit, Gr. 9-10)

3126B–Core Math 2- (1/2 MATH unit, Gr. 9-10)

Prerequisite:  Core Math 1

3125A- Core Math 3-(1/2 GLOBAL ELECTIVE unit, Gr. 9-10)

Prerequisite:  Core Math 2

3125B- Core Math 4-(1/2 MATH unit, Gr. 9-10)      

Prerequisite:  Core Math 3

Core Math is designed to accompany Algebra I and/or Geometry and will focus on specific mathematical understandings directly related to being successful in high school math and beyond.  Classroom instruction will prioritize visual and hands-on models, mental math strategies, and discovering relationships among mathematical ideas.  Emphasis will also be placed on strategies to successfully examine mathematical situations in other math classes and the students’ world.  Students meeting Core Math candidate requirements take this course.  Completing all four semesters results in 1 full math credit that may replace Algebra I. Students who complete HS Core Math Courses 1-4 will have successfully demonstrated mastery on algebraic concepts needed to be successful on the Algebra I EOC.   Students will take the EOC at the end of HS Core Math 4 and may proceed to Geometry.

 

3113A/3113E: Geometry-Semester 1 (0.5 credit, Gr. 10-12)

Prerequisite: Algebra I-Semester 1 and 2 OR Core 1, 2, 3, and 4;

3113B/3113D: Geometry-Semester 2 (0.5 credit, Gr. 10-12)

Prerequisite: Algebra I-Semester 1 and 2 OR Core 1, 2, 3, and 4; Geometry -Semester 1

This course formalizes and extends students’ geometric experience from middle school.  Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving toward formal mathematical arguments.  Using rigid transformations early in the course provides a lens for students to explore subsequent geometric concepts. Topics include: 1) congruence, proof, and constructions; 2) similarity, proof, and trigonometry; 3) extending to three dimensions; 4) connecting algebra and geometry through coordinates; and 5) circles with and without coordinates. The Mathematical Practice Standards will be applied throughout this course.

 

3114-Honors Geometry (1 unit, Gr. 9-10, weighted)

Prerequisite: Algebra I-Semester 1 and 2

Students meeting Honors requirements take Honors Geometry. Honors Geometry students will demonstrate deep mathematical understandings through additional projects and assessments in addition to the rigorous requirements of Geometry.

 

3115: Algebra II (1 credit, Gr. 11-12)

Prerequisite: Algebra I-Semester 1 and 2, Geometry (may be taken concurrently if meets requirements)

Algebra II is a full year course building on the work from Algebra I.   Students will extend their repertoire of functions to include polynomials and rational/radical functions. Students will continue to improve their skills in solving equations over the complex numbers and solve exponential functions by using the properties of logarithms.   The Mathematical Practice Standards will be applied throughout this course.

 

3116: Honors Algebra II (1 credit, Gr. 10-11, weighted)

Prerequisite: Algebra I-Semester 1 and 2, Geometry (may be taken concurrently if meets requirements)

Students meeting Honors requirements take Honors Algebra II.   Honors Algebra II students will demonstrate deep mathematical understandings through additional projects and assessments in addition to the rigorous requirements of Algebra II.

 

3115A: Algebra II-A (1 credit, Gr. 11-12)

Prerequisite: Algebra I-Semester 1 and 2, Geometry (may be taken concurrently if meets requirements)

Algebra II-A is a full year course covering the topics from the first semester of the regular Algebra II course, thus providing students an opportunity to study Algebra II topics in depth in an extended version. Students will continue the study of functions started in Algebra I and will focus on polynomials and rational/radical relation- ships. The complex numbers system will be introduced. Students will use functions to model relationships and determine solutions to problems. The Mathematical Practice Standards will be applied throughout this course.

 

3115B: Algebra II-B (1 credit, Gr. 12)

Prerequisite: Algebra II-A

Algebra II-B is a full year course covering the topics from the second semester of the regular Algebra II course, thus providing students an opportunity to study Algebra II topics in depth in an extended version. Students will continue the modeling with functions. The students will advance the study by including trigonometric and logarithmic functions. The Mathematical Practice Standards will be applied throughout this course.  Students can choose to enroll in this course for Dual Credit (high school/college).

 

3127: College Algebra (1 credit, Gr. 11-12, weighted) College Credit Available

Prerequisites for college credit:  See Counseling Department for Dual Credit Requirements.

Review of elementary algebra, solutions of equations, functions, exponential and logarithmic functions, inequalities, systems of linear equations, equations of second degree and their graphs, binomial theorem, complex numbers and polynomials. The course consists of college level curriculum. Students can choose to enroll in this course for Dual Credit (high school/college).

 

3117: Probability and Statistics (0.5 credit, Gr. 9-12)

Prerequisite: Algebra I, Geometry, or concurrently enrolled in Geometry

This course is designed to interpret categorical and quantitate data, investigate experiment and survey designs, make inferences, and apply the rules of probability.  Focus will be placed on real-world problem-solving and mathematical situations in context. The Mathematical Practice Standards will be applied throughout this course. Students must take this course unless they plan to take AP Statistics.

 

3124: AP Statistics (1 credit, Gr. 11-12 weighted)

Prerequisite: Algebra II

This course is designed to prepare students for the Advancement Placement Statistics test in the spring.  Studies in this course will be advanced topics in probability as it applies to exploring data, sampling and experimentation, anticipating patterns, and statistical inference.  

 

3119: Pre-Calculus with Trigonometry (1 unit, Gr. 11-12, weighted) 

Prerequisite: Algebra II

This course is a prerequisite for the courses offered at the   Mathematics/ Physics   Institute held at the Independence Academy.  Topics covered in this course include defining, evaluating and graphing Trig & Pre-Calculus functions, developing Trig & Pre-Calculus identities, solving triangles, polar coordinates and complex numbers, sequences and series, and conic sections.  Students can choose to enroll in this course for Dual Credit (high school/college) during the second semester (Trigonometry, Math 130)

 

3123: Calculus (0.5 credit, Gr. 11-12, weighted)

Prerequisite: Pre-Calculus with Trig or College Algebra, (may take concurrently second semester with either course)

This course is an overview of the skills in calculus.  Students will develop the ideas of limits, derivatives and integrals, along with applications in business and science. Note: this course will not prepare a student for the AP Calculus tests.

 

3143: Math 150 Pre-Calculus (1 credit, Gr. 12, weighted) College Credit Available

Prerequisite: Algebra II and a 3.0 un-weighted GPA.

Students will be required to complete the Calculus Readiness Test as part of the entrance requirement for the Math Physics Institute. Students must enroll concurrently in Physics 210.

This course is offered at MPI and is a study of various types of algebraic equations and inequalities, functions and their inverses, theory of higher degree polynomial equations, system of equations, determinants, logarithms, exponentials and applications. A study of Trig & Pre-Calculus functions and their inverses, formulas and identities, conditional equations, radian measure, arc length, angular velocity, function graphing and solutions of triangles will be measured in this course. Students taking Math 150 will also be enrolled in Physics 210. Students will take an entrance test to qualify for this course.  Students may receive five (5) college credit hours from Blue River Community Students must provide their own transportation.3144-Math 180-Calculus I (1 unit, Gr. 12, weighted)

Prerequisite: Pre-Calculus with Trig, a 3.0 un-weighted GPA, and an acceptable score on the Mathematical Association of America Calculus Readiness Exam (administered in the spring): OR consent of the MPI Staff. This course is offered at the Mathematics and Physics Institute, which meets from 7:00 to 8:45 AM daily at the Independence Academy Campus. Students interested in earning Advanced Placement credit for this course should contact their counselor. Students must enroll concurrently in Physics 210.

 

This course is a college-level introduction to Calculus.  It covers the topics of functions, graphs, limits and continuity, differentiation, maxima and minima, applications of the derivative, anti-derivatives, and applications of integration. The course is worth 1 unit of high school credit, with an option for five (5) hours of college credit through Blue River Community College. Students taking Math 180 will also be enrolled in Physics 210. Students must provide their own transportation.

 

3145: Math 180-190 - Calculus I & II (1 credit, Gr. 12, weighted) College Credit Available

Prerequisite: Pre-Calculus with Trig, a 3.0 un-weighted GPA, and an acceptable score on the Mathematical Association of America Calculus Readiness Exam (administered in the spring): OR consent of the MPI Staff. This course is offered at the Mathematics and Physics Institute, which meets from 7:00 to 8:45 AM daily at the Independence Academy Campus. Students interested in earning Advanced Placement credit for this course should contact their counselor.

For the first semester, this course covers the same material as Math 180, described above.

The second semester covers the topics of logarithmic functions, inverse Trig & Pre-Calculus functions, more advanced techniques of integration, improper integrals, approximation methods, infinite series, conics, and polar coordinates. The course is worth 1 unit of high school credit, with an option for ten (10) hours of college credit through Blue River Community College. Students taking Math 180-190 will also be enrolled in Physics 240. Students must provide their own transportation.

 

1120: LEP Mathematics (1 credit, Gr.  9-12) (THS Only)

Students who have already received credit for Algebra I are not eligible for this class.

This course is for ELL students who need to develop their math skills and language before they are ready for Algebra I. Students will: 1) engage in basic conversations about algebraic concepts; 2) apply skills in mathematical and real-world contextual settings; 3) develop operations in real numbers, expressions, and equation concepts; 4) compose text using standard English conventions in responding to mathematical problems; 5) prepare to participate in CCSS activities and assessments.