Article Summary: "Begin eleventh grade with
the end in mind and be proactive in all efforts and remember that math can
be a tough topic for many but you have to master it in order to move on.
Take advantage of tutors and websites that can assist in explaining the
tough stuff that you might get hung up on."
Eleventh graders are almost at the end of the road as far as high school is concerned and the math will reflect that accomplishment. Eleventh grade math is advanced and students will have to know and understand linear equations, first degree inequalities, functions, quadratic equations and polynomial expressions. Students will also learn to manipulate polynomials, rational expressions, and exponential expressions. Often in eleventh grade the concept of the Remainder Theorem, the Factor Theorem, and the Rational Root Theorem are taught but in some states this is not brought in until 12th grade. Students will gain full knowledge of the slope of a line and rate of change. Logarithmic Functions and in some cases Matrices and matrix equations are also covered.
Eleventh grade is also when students are given instructions on functions and relastions or pre calculus. During this time the concepts cover investigating sequences and series, the understanding of properties and applications of trigonometric functions and their inverses, the applications of Conic sections while applying and demonstrating the understanding of solving problems involving the sine law and the cosine law. Investigate relationships between the graphs and the equations of sinusoidal functions.
Trigonometric and circular functions, identities and inverses, and their applications, the study of polar coordinates and complex numbers are covered during this time frame too. They include financial spreadsheets and various spreadsheet applications, compound interest and annuities. Finite math is also covered in eleventh grade which more simply put is finance, sets, (permutations of n objects) combinatorics, probability, statistics, matrix algebra and linear equations.
Financial math is a big part of eleventh grade math, covering topics such as income, budgeting, purchasing, banking, credit, investments, taxation, and small business operations and then advancing on to compound and simple interest applications. Probability and statistics for business applications and financial math is covered in depth in this grade including the comprehension of the collection, organizing, and analyzing of data, amortization, loan, and investment ideas.
Eleventh grade is a very important year for grade point averages and activities. The GPA or grade point average that is carried through to college is from all the grades accumulated in high school. The difference with eleventh grade is that it is the last year to boost the grades and take more challenging course work. Although the senior year's grades matter too but it is eleventh grade when students take admission tests for college. Eleventh grade is the time to get ready and take the standardized tests. Sometimes in eleventh grade the students are offered pre-calculus classes. While for most this would be extended math, others catch on very quickly. Pre calculus topics include properties of functions, logarithms, sequence and series, trigonometric functions and equations, vectors, polar coordinates, complex numbers, and conic sections.
Again, normally offered in a student's senior year, some students are advanced enough to take statistics. Some of the advanced statistics courses include statistical analysis, summarizing and interpreting data in meaningful ways, probability, linear and non-linear regressions, hypothesis testing using Binomial, Normal, Student-t and Chi-square distributions, the use of fundamental counting principles, permutations and combinations, probability as relative frequency, and normal distribution patterns. During this year it is best not to worry about competitive exams and just focus on studies. Build a strong foundation and worrying will just pull a student right off track. Just stay focused and study a lot.
Begin eleventh grade with the end in mind and be proactive in all efforts and remember that math can be a tough topic for many but you have to master it in order to move on. Take advantage of tutors and websites that can assist in explaining the tough stuff that you might get hung up on.