Although the average cost to rent a house in Overfelt’s area is close to $3000 a month, the average annual family income is just over $60,000 a year. At Overfelt, approximately 80% of our student body consists of Latino/Hispanic students. In a city of over one million people, the East Side is home to predominately Latinos, with African Americans, Vietnamese, Filipinos, Cambodians, and Samoans making up smaller, but still significant ethnic populations. Those of us who live and work in and around the neighborhood of Overfelt, commonly refer to Overfelt as being located in the East Side of San Jose.
When people hear of San Jose, they tend to think of Silicon Valley, high tech, and astronomical housing prices. Overfelt High School is located in San Jose, California. Overall, this unit serves as a supplement to enhance my existing textbook resources, to better support students in any course that works with linear, quadratic, and exponential sequences and functions. In addition to tabular models, geometric representations of sequences will be used as an alternative approach to represent sequences, leading to algebraic representations. This unit will look at how the common difference, second difference, or common ratio between consecutive terms of a sequence can be used to determine a sequence’s recursive and explicit equations. In textbooks, formulas are frequently just given to students based on specific types of sequences. Many of my students are able to observe patterns represented in the sequences, but struggle in taking those observations and translate translating them into algebraic representations. Note that some texts may use the term rule in place of equation. They are also asked to identify key characteristics of the sequence, and to use these to write both recursive equations and explicit equations for a n, the nth term in the sequence. When given a few terms in a sequence, students are expected to classify the sequence type, as being potentially one of the three special ones, or “other”. This curriculum unit discusses each of these three types in the sections below. Many potentially infinite sequences are formed according to simple rules, and such sequences are also often referred to as “patterns”.Īt the high school level, students are introduced to three main special types of sequences: arithmetic (linear), geometric (exponential), and quadratic. For example, the sequence 2,4,6,8,10 is a finite sequence with five terms, while 2,4,6,8,10,… is an infinite sequence. Infinite sequences do not stop and are assumed to continue indefinitely. Finite sequences, are sequences that stop after a certain number of terms.
Each number in a sequence is called a term. In mathematics, a sequence is defined as an ordered list of numbers. You as student must just have the drive and willingness to study and learn all the tools that are given.Sequencing Math DNA: Differences, Nth Terms, and Algebraic Sequences by Lawrence E. I know this course will be helpful and it was designed in such a way that it does’t take hours of tour time.
MATH SEQUENCES HOW TO
In the exams these patterns come randomly right! So you will learn how to identify them and what tools are needed to answer questions about sequence in question. Each lesson is focused on a specific feature, so basically each lesson in this entire course is something you need to know in order to fully understand the work. This course covers arithmetic sequences, quadratic sequences and geometric sequence with some nice handy tools to quickly calculate different unknowns in each series. This course is designed to give a student a quick and better understanding of how the different patterns work, while you can test yourself after each lesson to see if you fully understand each topic.
MATH SEQUENCES PDF
You can apply your new knowledge for each lesson by downloading the question pdf and testing your answers with the answer sheet.
Lessons start with a warmup that tests your understanding, then we enter the main topic for each lesson and finally it summarizes what you have learned in the toolbox section of each lesson. Each video covers a specific set of tools that you will need for each series. In this course you will learn about number patterns (series and sequences).
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