For the conditions stated, if one line segment (PX) is twice the length of the other (XQ), then point X must be 2/3 of the way towards Q because let s = the length of XQ and 2s = length of PX 2s / (2s +s) = 2s / 3s = 2/3 Therefore, if we go 2/3...

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I'm an experienced high school teacher with over 17 years of experience in education. I've tutored all levels of math up through calculus level. I'm certified and licensed by the state of MA to teach 5th-8th grade math, 8th-12th grade math, and 8th-12th grade physics. I enjoy helping with homework and practice problems and am interested in teaching you the concepts as well as getting all those correct answers which you'd like to see.

My rates are reasonable and I'm interested in being your client. I am willing to tutor anywhere within a few miles of where I already work in downtown Chicopee or within a few miles of where I live in South Hadley. I am available for tutoring in person or online...starting today!

Dave is very knowledgeable, patient and accommodating and I would highly recommend him to any college student needing extra tutoring in college calculus and physics. I will grade him an "A" tutor in both subjects .

Dave worked with my 11 year old son during his sixth grade year. His laid back personality and use of real world examples took the anxiety out of each math lesson. He worked with my son (and his teacher) to reinforce math concepts, complete and review homework, and prepare for tests. Dave was also flexible and accommodating for additional days that my son needed to prepare for exams. In fact, my son's MCAS scores in math rose nearly 40 points, year over year.

We hope to work with Dave again this year.

I worked with Dave for two or three in person sessions then we decided to try online sessions. These worked great. The whiteboard area worked well for posting the assignments and explaining procedures. We used the audio to communicate in-depth explanations of difficult and complex tasks.

I never would have passed Discrete Math without Dave's help. Not only did I pass, I earned an A and was able to keep my GPA high.

I highly recommend giving online sessions a try. Many great features are all available in the comfort and convenience of your own home. Great tutor. Helps make difficult college level computer programming math easier to understand. Highly recommended. He seems to have a good understanding of all types of math, including courses that are fairly uncommon.

Dave is an excellent tutor, he is courteous, dependable, and helpful. I would recommend Dave and would not hesitate to use him again in the future.

Dave is a great tutor, He is very helpful and explains the materiel in a clear easy to understand format. He is very helpful in statistics and editing. Dave is very patient and knowledgeable in all content areas.

Dave is very knowledgeable about all the content that we go over for my classes. Dave is a great help to me and I appreciate all his hard work and help.

I searched for Dave on WyzAnt because one of our international students was attending a boarding school in the area and needed extra help in physics. Dave came highly recommended and so I contacted him about working with our student short notice. Dave was very accommodating and replied to my inquiry in a prompt manner. Before working with our student, we set up a meeting time on the phone to discuss our student's needs. When our student did not show up for his meeting time, Dave took the initiative contact the dormitory and have him woken up. I was very impressed with his attitude and that he was willing to work with our student even though he had overslept.

MAY 2013 I definitely recommend Dave for online tutoring. My teenager received his help in Algebra II and for SAT Prep. Once again Dave was reliable, capable, patient, and helpful. The online tutoring option is still in its Beta phase. Once WyzAnt is completely set up for online tutoring, Dave is the tutor to try. He is ready and willing to do online tutoring, and has EXCELLENT communication and technology skills!

2012 Dave tutored my child in high school geometry last spring 2012. My child's grades drastically improved. Dave exhibited the math expertise, communication skills and patience that my child needed. He did such a fabulous job that I have hired him to tutor my child in Algebra II this fall. Dave is "Teacher of the Year" in my book!

We are so glad that we found Dave to tutor our son in Calculus. In addition to reviewing weekly material, Dave is working ahead so our son is prepared for his next class! Dave is prompt and patient, helpful and excellent in the way he explains problem solving.

I sought Dave's help for my college level Critical Thinking class which involved difficult logic problems that I was struggling with on my own. Having never tutored me before, he was able to review the class assignments and my book and then immediately dive right into the material with me. Although Dave and I only needed to meet for two sessions in order to finish my assignments, we were able to accomplish so much. I knew immediately that I made the right choice and would highly recommend him as a tutor based on his teaching background and vast knowledge. As I continue with my education, I would not hesitate in utilizing Dave again.

Math:

ACT Math,
Algebra 1,
English:

ACT English, ACT Reading, Grammar, Literature, SAT Reading, Writing
Science:

Anatomy, Archaeology,
Biology,
Computer:

General Computer,
Microsoft Excel,
History:

Archaeology, Classics
Elementary Education:

Elementary Math, Elementary Science, Grammar
Homeschool:

Algebra 1,
Test Preparation:

ACT English, ACT Math, ACT Reading, ASVAB, GED, ISEE,
Praxis,
Approved subjects are in **bold**.

In most cases, tutors gain approval in a subject by passing a proficiency exam. For some subject areas, like music and art, tutors submit written requests to demonstrate their proficiency to potential students. If a tutor is interested but not yet approved in a subject, the subject will appear in non-bold font. Tutors need to be approved in a subject prior to beginning lessons.

Common topics in this subject which I have tutored include: real numbers, solving linear equations, graphing relations and functions, analyzing linear equations, solving linear equalities, solving systems of linear equations and inequalities, polynomials, factoring quadratic and exponential functions, radical expressions and triangles, radical expressions and equations, basic statistics and probability. I am over-qualified to tutor this subject because I was a New York state certified high school math teacher for 10 years (1995-2005) during which time I privately tutored countless students and taught Regents level Course 1 (algebra 1) amongst other high school level math courses for two different schools and a private tutoring agency. I have also tutored several clients in algebra 1 here in Massachusetts with WyzAnt in recent years.

Topics which I have tutored for algebra 2 include: first degree equations and inequalities, linear relations and functions, systems of equations and inequalities, matrices, polynomials, quadratic functions and inequalities, polynomial functions, conic sections, rational expressions and equations, exponential and logarithmic relations, sequences and series, probability and statistics, trigonometry functions, trigonometric graphs and identities. I am overqualified to tutor this subject area because I was a New York state certified high-school math teacher for 10 years (1995-2005) and tutored countless Regents course 2 level (algebra 2) students during this time. I also taught this level (algebra 2) in 2 different schools during this time and have had multiple clients in recent years whom I've tutored this level to while working with WyzAnt in Massachusetts.

Subject area includes: acids and bases, pH scale, cell structure, photosynthesis, respiration, chromosomes, cell reproduction, meiosis, sexual reproduction, heredity, DNA, protein synthesis, gene technology, history of life on Earth, evolutionary theory, human evolution, populations, ecosystems, biological cummunities, human impact on the environment, kingdoms, viruses, bacteria, protists, fungi, plants, invertebrates, vertebrates, human body structure and systems and more...

Subject area includes: Cartesian plane, graphs of equations, functions, limits, techniques for evaluating limits, continuity, infinite limits, delta-epsilon definition of limits, derivative and tangent line problem, velocity, acceleration and other rates of change, differentiation rules for constant multiples, sums and powers, differentiation rules for products and quotients, extrema on an interval, the Mean Value Theorem, increasing and decreasing functions and first derivative test, concavity and second derivative test, optimization problems, business and economic applications, Newton's Method, Differentials, antiderivatives, integration by substitution, riemann sums and the definite integral, The Fundamental Theorem of Calculus, numerical integration, area of a region between two curves, volume: disc method, volume: shell method, work, fluid pressure and force, arc length, differentiation of log functions, differentiation of exponential functions, differentiation of trig functions, integration techniques, L'hopital's Rule, Integration by parts, trigonometric substitution, partial fractions, improper integrals, Taylor polynomials, sequences, comparisons of series, ratio and root test, power series, Taylor and Maclaurin Series, dot product, cross product, cylindrical and spherical coordinates, vectors, chain rule, double integrals, change of variables, , Jacobians, surface area, vector fields, line integrals, Green's Theorem, Stoke's Theorem, first order linear differential equations, separation of variables in first order equations, homogeneous linear differential equations, non homogeneous linear differential equations, second order differential equations and more

Topics that could be covered would include matter and measurement, atoms, molecules and ions, periodic properties of the elements, basic concepts of chemical bonding, stoichiometry, electronic structure of atoms, ideal gases and gas laws, acids and bases, electrochemistry, nuclear chemistry, and properties of solutions.

Topics include solving first order equations that don't involve terns in y, and first order equations that do involve terms in y, using integrating factors,second order differentials, homogeneous higher order differential equations, nonhomogeneous linear higher order differential equations, using power series to solve ordinary differential equations, solving diffequations with series solutions near singular points, Laplace Transforms, and solving systems of linear first order equations.

I took differential equations as a sophomore in a Mechanical Engineering degree. I also have taken a class which uses differential equations with Boundary Value Problems as part of a Bachelor of Science in math (Math Major) at Stonybrook University. I also taught a unit on differential equation applications when I was a TA for a Section of a Calculus 2 class at SUNY Albany. I believe this gives me an adequate background for tutoring the subject.

I majored in math in college and have experience with linear algebra, number theory and logic and could help a perspective student taking courses in this realm who might be involved with writing proofs of this nature.

Discrete math involves the study any form of analytical math outside of the realm of continuous variables as one would see with function theory and the calculus. It is basically a subcategory which concerns logic, set theory, number theory, linear algebra, combinatorics, and sometimes discrete geometry. Courses in this subcategory of math are usually taken by computer science majors, math majors, automata majors etc.

As a mechanical engineering student, and as a straight physics student, I have had some experience solving problems concerning electricity, electric potential energy, electrical circuits, electromagnetic induction, alternating current circuits and electromagnetic waves. I have experience solving circuit problems for series, parallel and combination circuits using Kirchoff's Rules and with calculation of capacitor discharges, resistivity, impedance, inductance...you name it. I can help you with magnetic and electrical field problems concerning emf, flux and all of the different right-hand rules as well.

As I was a math major in college, I am very fluent in multiple mathematics subject areas of which are covered in a finite mathematics course. I have previous experience in both teaching and tutoring this material at both the high school and college level and can very confidently help you with any subject in combinatorics and/or finite math which is taught. Any sub-topic in logic or probability, or set theory as they pertain to a finite math course is right up my alley.

As a high school science teacher, I annually teach full units on genetics, heredity, protein synthesis and genetic technology to my biology students. Recently, (2012) I had the privilege of becoming trained in the most up to date information concerning this field by a summer Amherst College seminar for Massachusetts science teachers and also at that time, obtained various genetics lab equipment as well for teaching genetics to biology students at the high school level.

Subject areas include: inductive reasoning, biconditionals, deductive reasoning, methods of direct and indirect proof, postulates and proofs, equivalence relations, simple angle theorems, congruent polygons and corresponding parts, proving triangles congruent using two pairs of sides and included angle (SAS), proving triangles congruent using two pairs of angles and included side (ASA), proving triangles congruent using three pairs of congruent sides (SSS), isosceles triangles, equilateral triangles, basic inequality postulates, proving lines perpendicular and parallel, sums of the measures of the angles of a triangle, quadrilaterals, parallelograms, rectangles, rhombuses, squares, trapezoids, simlar triangles and similar triangle theorems, coordinate plane and coordinate geometry, slope, graphing linear equations, areas, locus in coordinate geometry, parabolas, transformation geometry, translations, reflections, rotations, dilations, basic constructions, line and point symmetry and more

I have taken a few upper division level college Linear Algebra courses at SUNY at Stonybrook. I received a a B and B+ in the classes which I took. Seeing as though I majored in mathematics, I was required to take Linear Algebra, Abstract Algebra and Number theory courses there which exclusively use matrices and linear dependence and show how these subjects are used in vector calculus and differential equations.

Basic Logic Skills are crucial for understanding Euclidean Geometry proofs and for understanding Venn Diagrams in Probability and in Computer Science. I have taught and tutored logic at the high school level as it is part of the standard math curriculum in both NY state and CT. As a math major in college (Although as a course for math majors, it was an elective which I did not take.), I was required to know logic for the first chapter in multiple upper division mathematics classes such as Abstract Algebra, Linear Algebra, and/or Non-Euclidean Geometry. Topics we could cover would include: connectives, truth tables, tautologies, the Law of detachment, the Law of Contrapositive, the Law of Modus Tollens, Chain Rule, Law of Excluded Middle, Law of Simplification, Law of Disjunctive Addition, universal and existential quantifiers, conditionals, biconditionals, sets, relations and equivalence classes.

Before I chose my original college route of becoming a math major for my first degree at SUNY at Stonybrook, I originally completed the first two years of undergraduate Mechanical Engineering Classes at a community college and was accepted into Stonybrook University as a 3rd year Mechanical Engineer. Once I became enrolled there, I switched my interest to a straight mathematics degree. I originally liked math much more than physics. It wasn't until I went back to school many years later at Boston University did I pursue my interest in Physics. All the same, because of this I have taken and done sufficiently well in all of the first two years of Mechanical Engineering School. Topics I studied were: materials, mechanics 1, mechanics 2, physics 1, physics 2, physics 3, calculus 1, calculus 2, calculus 3, differential equations, thermodynamics, freshman chemistry 1, freshman chemistry 2, and Fortran 1 and 2 (a now dead computer language). I still have basic expertise in these areas that can be of use to first and second year engineering students.

Microsoft Excel is perfect for making spreadsheets of all different sorts. I have experience from while I was completing my master's degree in education AND from my current occupation as a teacher. For example, I currently use a Microsoft Excel Spreadsheet to keep data for a point "levels" system which assesses students' behavior during classtime. This Excel Spreadsheet is updated by me weekly. Many countless uses for spreadsheets come up on the job for recording and keeping data.

This subject entails the science of basic physics and chemistry at the middle school and early high school level. The math level needed involves basic algebra formulas and arithmetic used to solve appropriate word problems. Topics include: the properties, classification and structure of matter, the use of the periodic table and the laws and facts for using it as a reference, chemical bonding, chemical reactions, forces and motion, forces in fluids, Bernoulli's Principle, work, power and simple machines, energy, conservation of energy, temperature and heat, electricity and magnetism, sound and light waves, and various types of technologies.

Subject areas include: Kinematics in one and two dimensions, forces and Newton's Laws of Motion, dynamics of uniform circular motion, work and energy, impulse and momentum, rotational kinematics, rotational dynamics, simple harmonic motion and elasticity, fluids, temperature and heat, heat transfer, ideal gas laws and kinetic theory, thermodynamics, waves and sound, principle of linear superposition and interference phenomena, electric forces and electric fields, electric potential energy and electric potential, electric circuits, magnetic forces and magnetic fields, electromagnetic induction, alternating current circuits, electromagnetic waves, the reflection of light: mirrors, the refraction of light: lenses and optical instruments, interference and the wave nature of light, special relativity, particles and waves, the nature of the atom, quantum mechanics, nuclear physics and radioactivity, ionizing radiation, nuclear energy and elementary particles

As a requirement during grad school toward getting my MA, I had to take the math Praxis and passed it the first time I took it and scored fairly well without ever cracking open a book. I have an extensive background in mathematics and am proficient in test taking strategies of government tests such as SAT, ACT math and the Praxis. If I tutored you, we would use a Praxis review book and do a host of problems together from a variety of math subject areas which are covered on the Praxis test.

Topics in this subject area which I have tutored include: integers, equations, factors and fractions, rational numbers, ratio, proportion and percent, equations and inequalities, functions and graphing, real numbers and right triangles, two dimensional figures, three dimensional figures, basic statistics and probability, polynomials and nonlinear functions. I am overqualified to teach this level (prealgebra) as I have tutored many 8th grade level students during my time as a tutor when I was a New York state certified 7th -12th grade secondary education - math teacher and have had multiple clients which I've tutored this level to here, in Massachusetts, (working with WyzAnt Inc.) as a tutor.

Topics which I have tutored concerning the subject of pre-calculus include: functions, equation theory, matrices, vectors, trig. functions, inverses of trig. functions, applications of trig. functions, sequences, series, polar coordinates, complex numbers, exponential and log functions, conics, probability, limits, derivatives and epsilon delta proofs. I am plenty qualified in tutoring precalculus in that I was a certified New York state high school math teacher for 10 years (1995-2005) and as part of my student teaching, I taught a precalculus class for several months. During these years, I tutored several different clients in precalculus and, in recent years, I have tutored several MORE different clients in this subject working with WyzAnt here in Massachusetts.

For 10 years (1995-2005) before I moved to Massachusetts, I was a NY state certified high school mathematics teacher with the regents program. During this time period, I also privately tutored many dozens of students in preparation for the annual NY state regents math tests and am very familiar with their means of testing as well as the testing practice materials which are available to test preparers. I could be very helpful to a NY state math student who was interested in meeting weekly to go over regents material from test practicing companies such as Barron's which prep for the regents.

Topics include: General SAT strategy concerning answering questions in a fast and efficient manner, arithmetic, algebra, plane geometry, solid geometry, coordinate geometry, trigonometry, functions, statistics and sets.

Subject area includes: the summation symbol, measures of central tendency, range, mean, absolute deviation, standard deviation, normal distribution, grouped data, measures of location, measures of variability, random variables, probability distributions for discrete random variables, expected values of discrete random variables, binomial probability distribution, hypergeometric and negative probability distributions, Poisson Probability Distribution, Gamma Distribution and its relatives, other continuous distributions, hypotheses and test procedures, z tests and confidence intervals, two sample t test and confidence intervals, analysis of variance, ANOVA, two factor ANOVA, linear regression and correlation, non linear and multiple regression, polynomial regression, regression analysis, Goodness of Fit tests, Wilcoxon Signed-Rank Test, Wilcoxon Rank-Sum Test and more

Subject area includes: arcs, angles, chords, inscribed angles and their measures, angles formed by tangents, secants and chords, absolute value equations, absolute value inequalities, roots and radicals, simplifying a radical, arithmetic of radicals, rationalizing a denominator containing a radical, quadratic formula, quadratic equations with real roots, line reflections, point reflections, translations, rotations, dilations, relations, functions, composition of functions, compositions with transformations, sine and cosine as coordinates, sine functions, cosine functions, tangent functions, finding reference angles of trig functions, radian measure, reciprocal trig functions, graph of y = sin x, graph of y = cos x, inverse trig functions, exponent laws, exponential equations, graph of y = tanx, logarithms, the law of sines, the law of cosines, the ambiguous case, half and double angle formulas, quadratic inequalities and more.

Tutors have the ability to create educational resources and share them with the WyzAnt community. Here are some of the resources created by Dave. View all of Dave’s resources

For the conditions stated, if one line segment (PX) is twice the length of the other (XQ), then point X must be 2/3 of the way towards Q because let s = the length of XQ and 2s = length of PX 2s / (2s +s) = 2s / 3s = 2/3 Therefore, if we go 2/3...

Document 186k

Sorry the titles of page 2 with and without solutions got switched when being uploaded...they are indeed all there.

Image 459k

Sorry if titles of sheets got reversed when uploaded.

**Great tutor for college math and physics.** —
Dave is very knowledgeable, patient and accommodating and I would highly recommend him to any college student needing extra tutoring in college calculus and physics. I will grade him an "A" tutor in both subjects .
...

Standard Hourly Fee: $50.00

Dave will travel within 20 miles of South Hadley, MA 01075.

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