Course Guide: Mathematics
Course Guide: Mathematics
Graduation Requirements:
3 credits (6 semesters) of Math including Algebra 2 or equivalent
Initial Ninth Grade Placements:
Entering ninth graders are initially placed in mathematics courses according to recommendations of their eighth-grade math teachers. Other factors considered include standardized test scores, grades received in previous math courses, and grade point average. Diagnostic testing may be used to determine correct math course placement.
Mathematics Pathway
The Chief Sealth International High School Math Department follows the SPS district created mathematics pathway. Please see page 27 on the SPS web page of Introduction to High School Course Registration for further information.
Course Guide
Algebra 1A, 1B
Credits: 0.5 credit / semester
Grade(s): 9, 10, 11, 12
Length of Course: Two Semesters
Prerequisite: None
Graduation Requirement Satisfied: Math
Students simplify expressions and solve equations. They identify function features, model real-world situations using linear functions, extend exponent properties to rational exponents, model exponential relationships, and compare linear and exponential functions. They use quadratic functions to model real-life situations, translate between representations, highlight their key features, and generate equivalent quadratics. They solve systems of equations in context. They graph inequalities. They compute best fit lines, data displays, and summary statistics.
Note: For HS students only, Algebra 1 may be taken concurrently with Geometry for students to access advanced coursework by 12th grade. Course content and expectations will NOT be adjusted for students who take classes concurrently.
Geometry A, B
Credits: 0.5 credit / semester
Grade(s): 9, 10, 11, 12
Length of Course: Two Semesters
Prerequisite OR Co-requisite: Algebra 1
Graduation Requirement Satisfied: Math
Students identify and prove geometric properties. They construct geometric figures to explore and prove relationships. They transform figures in space and on the coordinate plane. They determine and prove when triangles and quadrilaterals are congruent or similar. They use similarity and right triangle trigonometry to solve realworld problems. They calculate probability for single and compound events. They identify geometric relationships in circles. They solve real-world area and volume problems.
Note: For HS students only, Geometry may be taken concurrently with Algebra 1 in order for students to access advanced coursework by 12th grade. Course content and expectations will NOT be adjusted for students who take classes concurrently.
Algebra 2AH, 2BH
Credits: 0.5 credit / semester
Grade(s): 9, 10
Length of Course: Two Semesters
Prerequisite OR Co-requisite: Geometry
Graduation Requirement Satisfied: Math
Students study polynomial functions to identify key features and find real and complex zeros. They solve equations with rational exponents or radical expressions. They model real-world scenarios with exponential functions. They make inferences from statistical studies. They use the normal curve to estimate population percentiles. They manipulate rational expressions, graph rational functions, and identify their key features. They use the unit circle to define radians and graph trigonometric functions.
Note: This is an honors course. For HS students only, Geometry may be taken concurrently with Algebra 2H in order for students to access advanced coursework by 12th grade. Course content and expectations will NOT be adjusted for students who take classes concurrently.
IB Math Applications and Interpretation Standard Level A/B
Credits: 0.5 credit / semester
Grade(s): 11, 12
Length of Course: Two Semesters
Prerequisites: Algebra 1 and Geometry
Graduation Requirement Satisfied: Math
IB Math Applications and Interpretation SL A/B is the first year of a two-year course series. Completion of all four parts is one component of the IB Diploma Programme and prepares students to take the IB examination in May of their second year. This course emphasizes mathematical modeling and statistics. Students solve real-world problems, construct and communicate this mathematically and interpret the conclusions or generalizations. Students develop strong technology skills and understand the links between theoretical and practical concepts in mathematics. For students interested in social sciences, natural sciences, medicine, statistics, business, engineering, some economics, psychology, design and other non-STEM fields.
IB courses qualify for an extra 1.0 GPA quality point. THE IB-SPECIFIED CONTENT ADDRESSED IN THE FIRST YEAR OF IB MATH APPLICATIONS AND INTERPRETATION SL INCLUDES Right Triangle Trigonometry, Oblique Triangle Trigonometry and Volume, Descriptive Statistics on univariate data including data collection, Coordinate Geometry, Linear Functions including arithmetic sequences, Bivariate Data and Linear Models, Probability, and Exponential and Logarithmic Functions. ADDITIONAL SPS-SPECIFIED CONTENT INCLUDES Quadratic Functions, Operations with Complex Numbers and as solutions to quadratics, Operations on Course Information Polynomials, Polynomials functions, Rational exponents, Fitting Quadratic and exponential models to data, and Radian measure. This additional content includes material that is not in the IB SL content and addresses content required for SAT and college-readiness.
IB Math Applications and Interpretation Standard Level C/D
Credits: 0.5 credit / semester
Grade(s): 11, 12
Length of Course: Two Semesters
Prerequisite: IB Math Applications and Interpretation SL A/B or Algebra 2
Graduation Requirement Satisfied: Math
IB Math Applications and Interpretation SL C/D is the second-year of a four-part course series. Completion of all four parts is one component of the IB Diploma Programme and prepares students to take the IB examination in May of their second year. This course emphasizes mathematical modeling and statistics. Students solve real-world problems, construct and communicate this mathematically and interpret the conclusions or generalizations. Students develop strong technology skills and understand the links between theoretical and practical concepts in mathematics. For students interested in social sciences, natural sciences, medicine, statistics, business, engineering, some economics, psychology, design and other non-STEM fields.
IB courses qualify for an extra 1.0 GPA quality point. THE IB-SPECIFIED CONTENTADDRESSED IN THE SECOND YEAR OF IB MATH APPLICATIONS AND INTERPRETATION SL INCLUDES Hypothesis Testing, chi-squared and t-tests, Power Functions, Trigonometric Functions, Differential Calculus – limits + derivatives, Introduction to Integration – finding area under the curve, and Binomial and Normal Distributions. ADDITIONAL SPS-SPECIFIED CONTENT INCLUDES Absolute Value Functions, Parabola as conic section, Radical functions, and Rational Functions and applications. This additional content includes material that is not in the IB SL content and addresses content required for SAT and college-readiness.
IB Math Analysis and Approaches Standard Level A/B
Credits: 0.5 credit / semester
Grade(s): 11, 12
Length of Course: Two Semesters
Prerequisite: Algebra 2H
Graduation Requirement Satisfied: Math
IB Math Analysis and Approaches SL A/B is the first year of a two-year course that is part of the IB Diploma Programme and prepares students to take the IB examination in May of their second year. This course develops important mathematical concepts in a comprehensible, coherent and rigorous way, with an emphasis on algebraic methods. Students solve real and abstract problems. This course has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments. Students develop the skills needed to continue in the study of mathematics and other STEM areas. For students interested in mathematics, engineering, physical sciences, economics, and STEM fields.
IB courses qualify for an extra 1.0 GPA quality point. THE IB-SPECIFIED CONTENT ADDRESSED IN THE FIRST YEAR OF IB MATH ANALYSIS AND APPROACHES SL INCLUDES Functions Basics, Linear and quadratic functions, Exponentials and logarithms, Statistics for univariate data, Statistics for bivariate data, Geometry and Trigonometry in 2-D and 3-D, and Probability. ADDITIONAL SPS-SPECIFIED CONTENT INCLUDES Operations of Complex Numbers and as solutions to quadratic equations, Polynomial arithmetic, Polynomial functions, Course Information and Fitting quadratic and exponential models. This additional content includes material that is not in the IB SL content and addresses content required for SAT and college-readiness.
IB Math Analysis and Approaches Standard Level C/D
Credits: 0.5 credit / semester
Grade(s): 11, 12
Length of Course: Two Semesters
Prerequisite: IB Math Analysis and Approaches Standard Level A/B
Graduation Requirement Satisfied: Math
IB Math Analysis and Approaches SL C/D is the second year of a two-year course that is part of the IB Diploma Programme and prepares students to take the IB examination in May of their second year. This course develops important mathematical concepts in a comprehensible, coherent and rigorous way, with an emphasis on algebraic methods. Students solve real and abstract problems. This course has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments. Students develop the skills needed to continue in the study of mathematics and other STEM areas. For students interested in mathematics, engineering, physical sciences, economics, and STEM fields.
IB Math Analysis and Approaches SL C is the third semester of a two-year course that is part of the IB Diploma Programme and prepares students to take the IB examination in May of their second year. This course develops important mathematical concepts in a comprehensible, coherent and rigorous way, with an emphasis on algebraic methods. Students solve real and abstract problems. This course has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments. Students develop the skills needed to continue in the study of mathematics and other STEM areas.
BUS 130 Business Math
Credits: 1 credit / semester
Grade(s): 10, 11, 12
Length of Course: One Semester
Prerequisite: Algebra 1, Geometry
Graduation Requirement Satisfied: Math, Occupational Ed (depending on Teacher Certification)
This two-semester course is equivalent to a one-quarter Business Mathematics college course. Students are eligible to earn 5.0 elective college credits after completing these courses. The college credit earned is transferable to two-year colleges in Washington state as elective credits as well as Associate in Technical Arts (ATA) degrees – including Accounting, Business Information Technology, Business Management, Construction Management, Culinary Arts, Horticulture, Hospitality and Tourism, Medical Information Technology, and others. Completion of this course with a D or higher fulfills the high school math graduation pathway requirement.
The course includes instruction and review of basic math functions to prepare students for business classes. Topics may include using ratio-proportion, percents, estimating, basic algebra, trade/cash discounts, promissory notes, credit terms, and other consumer related activities.
MATH146 Intro Stats A/B
Credits: 0.5 credit / semester
Grade(s): 11, 12
Length of Course: Two Semesters
Prerequisite: Algebra 2H, IB Analysis SL A/B
Graduation Requirement Satisfied: Math, Occupational Ed (depending on Teacher Certification)
This course is equivalent to a quarter-long college Introductory Statistics course. Students who complete this course earn 0.5 high school math credit per Semester. Eligible students may also enroll with the partner college and earn 5.0 college credit after completing both semesters of this course (tuition fees apply). Completion of this course with a D or higher fulfills the high school math graduation pathway requirement.
Semester 1: Students learn how to display, summarize, and interpret data on single- and two variable quantitative and categorical variables. They learn how to fit models to data (a normal model to quantitative data, a linear model to bivariate data), evaluate the appropriateness of those models, and use the models to make predictions. They learn about the types of statistical studies including observational studies, experiments, and surveys. They learn how randomness and randomization are key parts of gathering unbiased data in any statistical study. Students study randomness through the lens of probability, focusing on conditional probability, binomial probabilities, normal probabilities, and random variables.
Semester 2: Students apply their understanding of randomness and probability to develop the concept of a sampling distribution and its uses. Students build on their understanding of sampling distributions to make inferences about populations based on the results of a single sample. Students use the sampling distribution of a sample proportion to create an estimate of a population value from a sample using a confidence interval based on the normal distribution. They also learn how to use conditional probability to determine the likelihood of a particular sample occurring given it came from a specific population, leading to the process of a hypothesis test. Students extend these two skills (creating confidence intervals and conducting hypothesis tests) to make inferences about the mean of a population using the t-distribution. They also learn how to compare samples from two different populations using normal and t-distributions. Students make inferences about categorical data in multiple categories using the chi-square distribution.