Mathematics Department


ECA believes that the development of critical thinking and logical reasoning skills is a key ingredient for the successful adult and that these should be developed through mathematics education. A major goal of the math program is therefore to teach students how to use mathematical concepts and apply them to broader applications. We believe that the fostering of confidence and an enjoyment of mathematics is crucial to successful mathematics learning. Students learn in a variety of ways and at different rates, and we believe that this is supported by differentiated instruction and careful course selections. We have an integrated, spiraling curriculum in which all students can learn basic content and be challenged to gain a deep understanding through enrichment activities. With the use of technology and real world problem solving, we empower our students to meet the challenges of the future.

Calculators

All mathematics courses in the high school require a graphical display calculator. It is important that students have their own calculators because learning how to use all of their features is a lengthy and complex process. Students need time to practice using the calculators. We recommend that the students purchase a Texas Instruments TI-84 Plus but ECA can support the TI-Nspire (non CAS) model. Students will be instructed in the operation of this technology.

Math Course of Study

The flow chart shows various possibilities for completing the math requirements. Teachers and counselors will do their best to create a plan of study based on the student’s individual needs. All course placements are subject to teacher recommendation and department approval.

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Mathematics Department

Math 1

Math 1 is a one year integrated mathematics course which emphasizes several major mathematical concepts. Included in this course is the study of basic operations (percentages, ratios, rounding, scientific notation), linear equations and inequalities, systems of equations and inequalities, polynomials (factoring, addition, subtraction and basic multiplication), laws of exponents, measurement (Pythagorean Theorem, Perimeter, Area, Surface Area and Volume) and basic problem solving. Students are encouraged throughout this course to develop precise and accurate habits of mathematical expression.

Credits: 0.5 / semester

Prerequisites: 8th grade teacher recommendation, as well as MAP scores/ math placement exam for new students. Grades 9-10.

Standards and Benchmarks: HS Math Std. & Bench May 2011

Math 2

Math 2 is a one year integrated mathematics course emphasizing several major mathematical concepts preparing students for the IB Mathematical courses in the future. Included in this course is the study of exponents, polynomials (adding, multiplying, factoring and expansion), coordinate geometry, linear and quadratic systems, quadratic equations and functions, right triangle trigonometry, measurement (area and volume), and basic probability. Students are encouraged throughout this course to develop precise and accurate habits of mathematical expression.

Credits: 0.5 / semester

Prerequisites: Successful completion of Math 1 or math placement exam for new students. Grades 9-10.

Standards and Benchmarks: HS Math Std. & Bench May 2011

Math 3

Math 3 is a one year integrated mathematics course that is designed to prepare students for IB Mathematics SL. The content of this course heavily builds on a strong foundation from Math 2. Topics in Math 3 include linear equations , solving and graphing quadratic equations, logarithms, exponential functions, introductory statistics, and advanced trigonometry.

Credits: 0.5 / semester

Prerequisites: 8th grade teacher recommendation, successful completion of Math 2 or math placement exam for new students. Grades 9-12.

Standards and Benchmarks: HS Math Std. & Bench May 2011

Math 4

Math 4 is a one year integrated course designed for potential IB Mathematics HL students. It contains a deeper study of all of the topics from Math 3, including advanced functions and graphs, advanced trigonometry, discrete math, and a variety of introductory IB Mathematics HL topics.

Credits: 0.5 / semester

Prerequisites: 8th grade teacher recommendation, successful completion of Math 3 or math placement exam for new students. Grades 9-12.

Standards and Benchmarks: HS Math Std. & Bench May 2011

IB Mathematical Studies SL

IB Mathematical Studies SL is a two year course designed for students seeking an alternative study of mathematics and who do not anticipate a need for mathematics in their future studies. Problem-solving skills will be emphasized along with algebra, quadratics, functions, logic, sets, financial mathematics, trigonometry, probability, statistics and data collection, and an introduction to differential calculus. The second year of the course includes a major written project which determines 20% of the IB grade and an externally assessed exam which will determine 80% of the IB grade.

Credits: 0.5 / semester

Prerequisites: Successful completion of Math 2 or 3. Grades 11-12.

Standards and Benchmarks: HS Math Std. & Bench May 2011

IB Mathematics SL

IB Mathematical Studies SL is a two year course designed for students seeking an alternative study of mathematics and who do not anticipate a need for mathematics in their future studies. Problem-solving skills will be emphasized along with algebra, quadratics, functions, logic, sets, financial mathematics, trigonometry, probability, statistics and data collection, and an introduction to differential calculus. The second year of the course includes a major written project which determines 20% of the IB grade and an externally assessed exam which will determine 80% of the IB grade.

Credits: 0.5 / semester

Prerequisites: Successful completion of Math 2 or 3. Grades 11-12.

Standards and Benchmarks: HS Math Std. & Bench May 2011

IB Mathematics HL

IB Mathematics HL is a two year course for students with a strong background in mathematics, have had an extensive study of Pre-Calculus, and who are competent in a range of analytical and technical

skills. The majority of IB Mathematics HL students will be expecting to include mathematics as a major component of their university studies. Topics covered include all the topics from IB Mathematics SL in greater depth in addition to complex numbers, proof by induction, series and differential equations. The teacher will decide one HL option from the following list of topics: Statistics and Probability; Sets, Relations and Groups; Series and Differential Equations; or Discrete Mathematics. An externally assessed examination will determine 80% of the IB grade and an internally assessed exploration will account for the remaining 20% of the IB grade.

Credits: 0.5 / semester

Prerequisites: Successful completion of Math 4 and departmental approval. Grades 11-12.

Standards and Benchmarks: HS Math Std. & Bench May 2011

Advanced Statistics

Advanced Statistics is a one year online course that is the equivalent to an introductory college level statistics course. Statistics – the art of drawing conclusions from imperfect data and the science of real-world uncertainties – plays an important role in many fields. Students collect, analyze, graph, and interpret real-world data. They learn to design and analyze research studies by reviewing and evaluating examples from real research. Students prepare for the AP® exam and for further study in science, sociology, medicine, engineering, political science, geography, and business. This independent online statistics course is offered through the K12 International Academy, an accredited institute in USA.

Credits: 0.5 / semester

Prerequisites: Successful completion of Math 4 or equivalent. Students must be able to work independently online. Grades 10-12.

Standards and Benchmarks: HS Math Std. & Bench May 2011