![]() In general, Algebra 2 includes a wider and more intricate variety of function types than those covered in Algebra 1 topics. ![]() Basic parabolas that students used to think had no solutions during Algebra 1 are actually revealed to have two “imaginary” solutions in Algebra 2. Algebra 2 typically includes solutions with real and complex numbers - including arithmetic with imaginary numbers - as well as conic sections such as hyperbolas, parabolas, and ellipses. The different numbers occurring in a sequence are called the terms of the sequence. Trigonometric functions often become an important new focus area during Algebra 2 as students begin exploring the unit circle. A sequence is a list of numbers in a specified order. ![]() Students in Algebra 2 are introduced to a much wider range of functions including logarithms, radicals, and rational functions. With the lens of linear and quadratic functions, Algebra 1 pushes students to find roots (solutions) leveraging multiple methods (including the quadratic formula), graph function relationships on the coordinate plane, and convert among various forms of quadratics.Īlgebra 2 is an advanced expansion of the ideas from Algebra 1. Algebra 1 focuses on “doing the same thing to both sides of the equation” to solve equations. is an arithmetic sequence, because we add 2 each time to get from one term to the next. We can write any type of sequence described above using algebraic terms rather than numerical terms. Students in Algebra 1 are typically expected to gain mastery of a wide variety of techniques for solving linear and quadratic equations. 5 Solve problems using algebra in sequences. Both courses work extensively with variables and functions as well as using mathematical operations to find unknown quantities. Using the same geometric sequence above, find the sum of the geometric sequence through the 3 rd term. The equation for calculating the sum of a geometric sequence: a × (1 - r n) 1 - r. As the names suggest, there are many core similarities between Algebra 1 and Algebra 2. Comparing the value found using the equation to the geometric sequence above confirms that they match.
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