# Intermediate Algebra with P.O.W.E.R. Learning by Sherri Messersmith

By Sherri Messersmith

"After having written 5 developmental algebra textbooks, i made a decision to group up with Larry Perez from Saddleback collage in California to put in writing a paperback sequence starting with easy collage Math or mathematics. we all know, first-hand, that instructing developmental arithmetic is ready much more than the maths. at the present time, a lot of our scholars also are in developmental studying and/or writing classes, so that they do not learn good. Many scholars are negative note-takers, have no idea tips to read/use a textbook, have bad learn abilities, and feature by no means realized time-management talents. teachers comprehend significant explanation for excessive failure charges in developmental math classes is because of the truth that a lot of our scholars have no idea how one can be students. they do not are looking to fail, they only have no idea easy methods to prevail! Larry and i've tailored what we do within the lecture room to aim to deal with the non-math wishes of our scholars. yet, we questioned, how will we do that in a textbook? input P.O.W.E.R.. P.O.W.E.R. is a five-step procedure to advertise studying and demanding considering. every one step within the process--Prepare, manage, paintings, evaluation, and Rethink--provides scholars with a confirmed framework that would aid them in attaining educational good fortune. P.O.W.E.R. maximizes the good fortune of scholars through the use of a research-based "best practices" strategy. it's a scientifically-based framework selling pupil luck, with each one step within the method in line with empirical learn findings concerning scholars' educational functionality in a faculty surroundings"

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Extra resources for Intermediate Algebra with P.O.W.E.R. Learning

Example text

Revise your work based on your assessment of it. In math courses, it’s important to identify the specific obstacles that may be causing you to perform below your capabilities. Are there particular concepts you are struggling with? Would you benefit from working with a math tutor or your fellow students? • Think critically about both the work you have done and the process you used to complete it. What did you do that worked well? Where do you see room for improvement? Take a step back and consider how the task you completed brought you closer to your long-term goals.

CHAPTER 1 Ϫ06 0 [YOU TRY] EXERCISES Objective 1: Identify Numbers and Graph Them on a Number Line 10 |5| ϭ 5. Then, apply the negative symbol to get Ϫ5. The absolute value symbols work like parentheses. First, evaluate what is inside: 11 Ϫ 5 ϭ 6. Real Numbers and Algebraic Expressions Graph the numbers on a number line. Label each. 2, 1 , Ϫ4 8 9 3 41) ͿϪ9Ϳ Ն 9 Objective 3: Find the Absolute Value of a Number Evaluate. 8 42) ϪͿϪ31Ϳ ϭ 31 Use a signed number to represent the change in each situation.

Definition The set of numbers that cannot be written as the quotient of two integers is called the set of irrational numbers. Written in decimal form, an irrational number is a nonrepeating, nonterminating decimal. If we put together the sets of numbers we have discussed up to this point, we get the real numbers. Definition The set of real numbers consists of the rational and irrational numbers. , Ϫ3, Ϫ2, Ϫ1, 0, 1, 2, 3, ... Whole numbers 0, 1, 2, ... Natural numbers 1, 2, 3, ... From the figure we can see, for example, that all whole numbers {0, 1, 2, 3, …} are integers, but not all integers are whole numbers (Ϫ3, for example).