Here you can find course details for:
Pre-algebra,
Algebra 1,
Algebra 2,
Geometry 1,
Geometry 2,
Pre-Calculus,
Chemistry 1,
Chemistry 2,
Physics 1,
SAT.
INTRODUCTION TO OUR COURSES
These courses are intended to introduce and familiarize the student to the skills and the concepts. They are not exhaustive explorations, and are meant to complement rather than replace the year-long school courses.
The advantages of doing our courses are:
i) A smooth transition from the student’s current knowledge and skills to the higher levels.
ii) By experiencing the more advanced topics and getting a feel for their essence, the student develops a framework, which will facilitate easier understanding and competence when the course is done at school. The feeling, "Oh yes, I have done this before; I can relate to it and make sense out of it," is a wonderful enabler.
iii) The notes the student will take, the examples and the exercises will serve as a valuable tool-kit the student can use in conjunction with future work at school.
iv) If our course work is undertaken seriously by the student, he/she is bound to experience the school course less intimidating, more enjoyable.
v) Because of our small class sizes, we are able to cater to the individual student a great deal more than is possible at school.
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This is the logical starting point to becoming a great math student. Our course will break down the complexity of algebra by familiarizing the student to the concepts and terminology, and making them feel at ease with algebra. This will pave the way to competence and confidence in Algebra and Math in general. We will revise previously learned, but possibly forgotten skills and transition those smoothly into pre-algebra.
Order of operations, Properties: commutative, associative, distributive, identity, zero. Writing expressions, Evaluating expressions, Absolute value, Use of coordinate plane, plotting points, Graphing, Solving equations and inequalities, Representing solutions on number lines, Further number properties involving variables, Terms, like terms, constants, coefficients, simplifying.
Equations, inequalities, open sentences, Addition, subtraction, multiplication and division properties of equality, Solving equations, Statistics: Analyzing graphs, pictograms, bar graphs, Decimals, rounding, estimating products, quotients, Mean, median, mode, range, outliers. Formulas, substitution, Solving equations involving decimals. Metric system: Length, capacity, mass, Divisibility rules, primes, composites, prime factoring, factor trees, GCF.
Exponents, simplifying, evaluating, Order of operations, Simplifying numerical and algebraic fractions, Number systems review (W, N, I, Q, R), Rational numbers, Exponent operations. Rules of indices, Zero and Negative exponents, Scientific notation and Standard forms, Least Common Multiples, Fractions, ordering, comparing fractions, Fractions to decimals and decimals to fractions, Terminating, non-terminating, repeating decimals, Repeating decimals to fraction, Operations with fractions.
Measurements, units, length, capacity, weight, solving equations involving fractions, Exponents, Powers of products, quotients, Rates, ratios and proportions, Scale drawings, similar figures, Probability, Fractions, decimals and percentage, Percents and equations, Writing and solving percent equations, Commission, discount, markup.
Solving two step equations, Solving multi step equations, Solving equations with fractions and decimals, Solving equations with variables on both sides, Formulas, solving formulas for a given variable, Using formulas to solve problems, Simple and compound interest, Graphing linear functions of the type y = mx + b by plotting points.
Relations and functions, Domain, range, mapping notations, Identifying functions using different methods, Equations with two variables, Slope and y-intercept of a line y = mx + b, Finding rules for linear functions from tables and graphs, Scatter plots, Correlations, Line of best fit, Solving systems of linear equations by graphing, substitution, elimination, Graphing linear inequalities, Graphing systems of linear inequalities.
Polygons, naming polygons, Circles, Points, lines and planes, Drawing and measuring angles, Angle relationships, Parallel lines, Classifying polygons, Finding number of diagonals of a polygon, Triangle congruence, SAS. ASA, Circle parts, drawing circles, area, circumference, Circle graphs, Constructions, Transformations: Translation, reflection, rotation, enlargement.
Symmetry, Tessellations, Simple Matrices.
Area, volume, compound figures, 3-D objects, nets, surface areas, Squares, square roots, irrational numbers, Pythagorean theorem, special triangles. Distance formula, midpoints, Histograms, stem-leaf, box-whisker, Probability, tree diagrams, Sampling, Patterns and sequence, Arithmetic and geometric sequences, Graphing non-linear functions: Parabolas, absolute value, exponential growth and decay, Multiplying a polynomials by monomials, Multiplying binomials.
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A powerful boost toward Algebra 2. Excellent revision, sound intro to advanced topics.
Revision: Variables, expressions, evaluating expressions, Rules of exponents and powers, Solving equations, inequalities, Writing mathematical expressions from verbal sentences, Number systems, N, W, I, R. Rational and irrational, Absolute values and their graphs, Distributive property, terms, like terms, collecting terms, More solving equations, Solving equations with variables on both sides, Formulas, changing subject of the formula, evaluating, using formulas, Ratios, Percentages.
Graphing vertical and horizontal lines, Graphing linear equations and functions, Finding solutions and relating to graphs, Finding intercepts, drawing lines using intercepts, Finding slopes, Graphing lines using slope and y-intercept. Relations and functions, test for functions, Writing equations given a point and slope, Writing equations from two given points.
Writing equations in standard form.
Solving inequalities, using addition, subtraction, multiplication, division
Solving inequalities with fractions and decimals, Graphing inequalities in two variables, Linear systems and their graphs, Solving linear systems using substitution, elimination, graphing, Introduction linear programming
Revision of powers and exponents, Graphing exponential functions.
Scientific notation, Growth and decay curves, Squares and square roots, Solving quadratic equations, Simplifying radical expressions, Graphing quadratic functions. Finding solutions from graphs, Quadratic formula to solve quadratic equations, Use of dicriminants, Drawing quadratic inequalities, Manipulating polynomials, Difference of squares.
Solving quadratic equations, Factoring of expression of the form and , Factoring special products, Cubic polynomials, Ratios and proportions, Direct and Inverse Variation, Simplifying rational expressions.
Multiplying and dividing rational expressions.
Adding and subtracting like and unlike denominators, Solving rational equations, Simplifying rational functions, Square root functions and their graphs, domain, range, Solving radical equations, Rational exponents.
Completing the square, Pythagorean theorem, Distance and midpoint.
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Build a sound foundation for Algebra 2 at school and other math courses. Introduction to most major topics. An opportunity to gain confidence and command in math overall. Our course is a sound rehearsal and advance preparation into the complexities of Algebra 2 at school and other math courses.
A quick revision of simplifying expressions, formulas, evaluating, real number properties, elementary statistics, equations, straight line graphing, absolute value and inequalities.
Solving absolute value inequalities. Relations and functions, Domain and range, Vertical line test. Linear graphs, Reading solutions from graphs, Slope. Different forms of linear equations, Slope intercept form, Point slope form. Scatter plot, Regression, Direct variation, Graphing absolute values, Graphing liner inequalities.
Systems of linear equations and inequalities: Solving and graphing systems equations, Solving equations by algebraic methods (Substitution and elimination methods)
Cramer’s rule, Linear programming, Solving equations in three variables. Matrices. Add subtract matrices. Multiply matrices, Determinants, Identity and inverse matrices, Matrices and systems of equations. Augmented matrices, Box and whisker plot.
Polynomials and radical expressions: Monomials, Polynomials, Binomials, Trinomials, Dividing polynomials, Factoring, Roots of real numbers, Radical expressions, Rational exponents, Solving radical equations and inequalities. Complex numbers,
Properties and operations with complex numbers, Argand diagrams, Graphing quadratics and solving equations by factoring. Completing the square, Quadratic formula, Sum and product of roots, Writing standard equations if roots are given.
Transformations of quadratic graphs: Quadratic inequalities, Standard deviations, Normal distribution, Conic sections: Distance and mid point formulas, Parabolas, Circles, Ellipses, Hyperbolas, Conic sections. Solving quadratic systems.
Polynomial functions: Remainder theorem, Factor theorem, Roots and zeros, Further solving polynomial equations, Composition of functions, Inverse functions and relations Graphing square root functions.
Rational Expressions: Graphing rational functions: Direct inverse and joint variations, Multiplying and dividing rational expressions, Adding and subtracting rational expressions, Solving rational equations and inequalities.
Exponential and logarithmic functions: Graphing exponential functions, Logarithmic functions, graphing, solving, Properties of logarithms, Common logarithms, Natural logarithms, Solving exponential equations, Growth and decay.
Sequences and series, Arithmetic sequences, Arithmetic series, Geometric sequences, Geometric series, Infinite geometric series, Binomial theorem. Probability: Counting principles, Permutations, Combinations, Probability, Multiplying probabilities Adding probabilities.
Trigonometry: Angle measures and radians, Trig quadrant rules, Law of Sines, Law of Cosines, Circular functions, Inverse trig functions, Trigonometric identities, Graphing trigonometric functions, Common trigonometric identities, Further trig identities, Sum and difference of angles, Double and half formulas, Solving trig equations.
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Skills like proofs can be a roadblock. Untangle them in advance. Get a good grip on the basics, plus a sound introduction to the major topics. From basics to more advanced topics, in an exercise-oriented, enabling approach.
A quick revision of basic geometry: Definition of postulate, Points, planes and lines postulates, Segment addition postulates, Mid point formula, Inductive reasoning, Writing definitions and their characteristics, Angle addition postulates, Linear pair postulates.
Conditional statements, Converses, Hypotheses, Conclusions, By-conditionals, Inverse, Contra positive, Properties of equality: Addition property, Subtraction property, Multiplication property , Division property, Substitution property, Reflexive property, Symmetric property , Transitive property. Properties of congruence: Reflexive property, Symmetric property , Transitive property for segments and angles, Deductive reasoning, Introduction to two column proofs (T proofs).
Definition of theorems, Mid point theorem, Angle bisector theorem, Congruent supplements theorem, Congruent complements theorem, Right angle congruence theorem.
Vertical angles theorem, Perpendicular lines and right angles theorem, Parallel lines and transversals, Corresponding angles postulate, Alternate interior angles theorem, Alternate exterior angles theorem, Same side interior angles theorem, Perpendicular transversal theorem, Parallel postulates, Converse of corresponding angles postulate,
Converse of alternate interior angles theorem, Converse of alternate exterior angles theorem, Converse of same side interior angles theorem, Two lines parallel to a third line theorem, Two coplanar lines perpendicular to a third line Theorem,
Slopes of horizontal and vertical lines, Non vertical parallel lines postulates and non vertical perpendicular lines postulates, Equations of lines, Coordinate proofs, Two lines parallel to a third line theorem, Two coplanar lines perpendicular to a third line theorem.
Vector geometry: Magnitude, parallel vectors, equal vectors, Vector addition, triangular and algebraic forms, Perpendicular vectors, Dot products, Opposite vector.
Transformations: Reflections, Isometry, Translations, Rotations, Compositions of transformations.
Angle sum theorems of triangles, Exterior angle theorem of triangles, Angle sum theorems for polygons, Corollary, Exterior angle theorems for polygons and its corollary.
SSS congruence postulates, SAS congruence postulates, ASA congruence Postulates, Angle/Angle Side (AAS) congruence theorem, Hypotenuse leg (HL) congruence theorem, Perpendicular bisector theorem, Converse of perpendicular bisector theorem, Angle bisector theorem, Converse of angle bisector theorem, Base angles theorem, Corollaries of base angles theorem, Converse of base angles theorem, Corollary of converse of base angle theorem, Triangle mid- segment theorem, Unequal sides theorem, Unequal angles theorem, Triangle inequality theorem,
Hinge theorem, Converse of hinge theorem, Quadrilateral is parallelogram theorems,
Converses of quadrilateral parallelogram theorems, Parallelogram is a rhombus theorems,
Parallelogram is a rectangle theorem, Parallelogram is a square theorem, Mid-segment of trapezoid theorem, Quadrilateral is an isosceles trapezoid theorems,
Diagonals of trapezoid theorems, Base angles of trapezoid theorem.
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How to cope with the accumulation of varied theorems, their twisted combinations and uses? Complete our course and be confident as you go into an intensive course at school. Seemingly strange and unwieldy concepts, principles and applications can be tamed through this course. An intensive Geometry school course can be an exhausting experience. Make it easy and surprise your teachers!
A quick revision of the basics. Quadrilateral is a kite theorem, Bisecting diagonals of kite theorem, Area of a square postulate, Area congruence postulate, Area addition postulate.
Area of a parallelogram theorem, Area of a triangle theorem, Area of a rhombus theorem, Area of a trapezoid theorem, Pick’s theorem, Pythagorean theorem, Converse of Pythagorean theorem, Law of detachment, Law of syllogism, Cross product property of proportions, Properties of proportions
Two polygons are similar theorems, Angle/Angle similarity postulate, SSS similarity postulate, SAS similarity postulate, Corresponding medians of similar triangles theorem, Corresponding altitudes of similar triangles theorem, Triangle proportionality theorems,
Corollary of triangle proportionality theorems, Converse of triangle proportionality theorems.
Triangle angle-bisector theorem, Altitudes to hypotenuse theorem, Corollaries of altitudes to hypotenuse theorem, 45, 45, 90 degrees theorems, 30, 60, 90 degrees theorems, Basic trigonometry ratios, Area of a regular polygon theorem
Circumference of a circle theorem, Corollary of circumference of a circle theorem, Area of a circle theorem, Area of a sector theorem, Standard form of the equation of a circle, Tangent and radius of circle theorem, Corollary of tangent and radius of circle theorem, Arcs and angles congruence theorem, Arcs and chords congruence theorem, Diameter perpendicular to a chord theorem, Congruent chords equidistant theorem, Chord perpendicular to bisector theorem.
Angles at center and circumference theorems and its corollaries, Secants, tangents intersection theorems, Intersecting sequence theorems, Secant and tangent theorems, Chords intersecting theorems, Secants intersecting at an external point theorem, Secants and tangents intersecting at an external point theorem.
Euler’s formula, Lateral area of a right prism theorem, Surface area of a right prism theorem, Lateral area of a right cylinder theorem, Surface area of a right cylinder theorem, Volume of a cube postulates, Volume of a prism theorem, Volume of a right cylinder theorem.
Lateral area of a regular pyramid theorem, Surface area of a regular pyramid theorem, Lateral area of a right cone theorem, Surface area of a right cone theorem, Volume of a pyramid theorem, Volume of a cone theorem, Surface area of a sphere theorem, Volume of a sphere theorem, Solids similarity theorems.
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When first encountering Calculus at school, the variety and depth of topics can be extremely trying for the unprepared student. Yet Calculus is the foundation and the tool kit for advanced science, math and many practical subjects like economics. It needs thorough preparation to gain mastery. Avoid difficulties in Pre-calc at school by joining this course.
Quick revision of Pythagorean, Distance, Mid-point formulas, Equation of a circle.
Graphing: lines, parabolas, cubic graphs, circles, absolute value, exponential and log functions. Slope, Equation of a line, Sketching lines, Parallel and perpendicular lines, Intercepts, Intersection of two graphs, Absolute value equations, Solving inequalities, Rational inequalities, Domain and range.
Function Notation and Evaluation: Piecewise functions, Domain of functions, Introduction to limits, Evaluating a difference quotient, Domain and range of functions,
Increasing/decreasing functions, Graphs of step and piecewise functions, Even and odd functions, Transformations of graphs, Combinations of functions, Inverse functions, Graphs of inverse functions, Existence of inverse (one-to-one, many-to-one, one-to-many, many-to-many), Finding inverses algebraically.
Polynomial and rational functions: Quadratic functions in different forms, Graphing polynomial functions, Zeros of polynomial functions, Long division and synthetic division, Remainder and factor theorems, Complex numbers, operations, conjugates etc, Fundamental theorem of algebra, Rational functions and asymptotes.
Exponential and logarithmic functions and transformations: Exponential graphs, Natural base, Graphing, Compound interest, Decay and Growth, Logarithms: properties, graphs, Natural logs: properties and graphs, Solving exponential and log equations.
Trigonometric functions: Radian measures, Quadrant rules, Arc length, Unit Circle, Trig functions, sine, cosine, tangent, and their reciprocals i.e. cosecant, secant, cotangent definitions, Trig identities, Evaluating trig functions and quadrants, Reference angles, Graphing sine cosine using key points, Amplitude and period, Vertical and horizontal shrinking, Stretching, translations, Finding equations, Sketching tan graphs, Sketching reciprocal graphs, Inverse trig functions.
Analytic Trigonometry: Fundamental identities, Verifying a trig identity, Factoring and simplifying trig expressions, Soling trig equations, Functions involving multiple angles, Sum and difference formulas, Multiple angle formula, Product-sum formula, Triple angle formula, Half angle formula, Solving trig equations.
Law of sines, Area of a oblique triangle, Law of cosines, Herron’s area formula, Vectors: Magnitude, Component form, Vector operations, Direction angles, Dot product, Trig form of a complex number, Complex plane, Multiply and divide complex numbers in trig form, Powers of complex numbers, DeMoivre’s theorem, Roots of complex numbers.
Systems of equations and inequalities: Solving systems of equations (graphical, substitution and elimination methods, Multivariable linear systems, Gaussian Elimination, Systems of inequalities, sketching, Solving a system of inequalities, Linear programming.
Matrices: Determinants, Matrix properties, Solving equations using matrices, Gaussian elimination and back substitution, Operations with matrices, Inverse of a square matrix, Solving systems equations using inverse, Determinants of square matrix, Cramer’s rule.
Sequence, Probability, Factorials, Sigma notation, Series, Sum of a series, Arithmetic sequence and partial sums, Geometric sequence, Sum of finite geometric sequence, Geometric series, Sum of infinite geometric series, Mathematical induction, Binomial theorem and Pascal’s triangle, Counting principles, Permutations, Combinations, Probability, Mutually exclusive events, Independent events, Complement of an event.
Analytic Geometry: Parabolas, Ellipses, Hyperbolas, Parametric equations, Polar coordinates, Graphing polar equations by point plotting, Polar equations of conics.
Limits and an Introduction to Calculus: Properties of limits, Operations with limits, Finding limits, Drawing graphs with gaps. Evaluation of limits, Dividing technique and rationalizing technique, Evaluating limits from Calculus, Slope and limit, Finding Derivative. Limits at infinity and Limits of sequences, Summation formula and properties.
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Chemistry opens doors to so many career paths, but can be very difficult for the unprepared. Develop confidence with strong coverage of basic concepts, plus introductions to major topics and skills. Rich in illustrative exercises and problems.
Atoms, Elements, Electron structure, Ions, Compounds and mixtures, Chemical bonds, Solutions, Chemical formulas of ionic compounds, Formulas of molecular compounds, Chemical equations, Simple ideas of rates of reactions, Metals and their reactions, Solutions and precipitation, Metal compounds and reactions, Rusting, Acids, bases and neutralization, Carbon, Organic compounds, Extraction of iron as an example of purification of ores.
Atoms, Isotopes, Electron arrangement and valance electrons, Ions, Molecules, Ionic bonding, Covalent bonding, Polar covalent bonds, Shapes of molecules, The mole, Concentration, Percentage composition, Empirical formula, Molecular formula, Balancing chemical equations, Molecular substances, Polar molecular substances, Ionic substances, Polarity of water, Covalent chains and networks, Metallic substances.
Alkanes, Alkenes, Isomers, Naming of branched alkanes, Reactions of alkanes, Oxidation number, Redox reactions, Balancing half equations, Overall redox equations, Oxidants, Reductants, Activity series, Enthalpy, Exothermic and endothermic reactions and their energy diagrams, Colorimeters, Rates of reactions and its factors, Catalysts.
Equilibrium, Le Chatelier’s Principle, How equilibrium is affected by changes.
Alkenes, Polymers, Alkynes, Acids and bases, Neutralization, Hydrogen ion concentration, Precipitation, Qualitative solubility rules, Electrolysis, Extraction of typical metals, Electroplating.
Periodic Table, Extraction of some elements, Oxides, Chlorides, Alcohols, Acid-based titrations, Carboxylic acids, Esters, Copper as a typical metal, Consumer chemistry, Detergents, Soap, Hard water, Cosmetics, Stain removals, Chlorine bleaching, Polymers, Polymerization.
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This course provides further study for those who already have basic chemistry skills and have had an introduction to the foundation topics.
Kinetic theory of matter, Absolute temperature, Intermolecular forces, Dipole forces, Hydrogen bonding, Energy changes in chemical reactions, Heat of combustion, Hess’s Law, Enthalpy calculations, Bond energies, Spontaneous reactions, Equilibrium constant calculations.
Electrolytes and non-electrolytes, Elevation in boiling point, Depression in freezing point, Strong and week electrolytes, Solutions of electrolytes, Conductivities and pH, Hydrolysis of salts, Precipitation and solubility products, Saturated and super saturated solutions, Common ion effect, Ionic products, Pure water and hydronium ions, Volumetric analysis, Stoichiometry, Primary standards, Indicators, Buffer solutions, Carbonate/bicarbonate/carbon dioxide equilibrium.
Electronic configurations, Energy levels, Sublevels, Sequence of filling sublevels, Transition series, Atomic number, Mass number, Ionization, Electronegativity, Attractive and repulsive forces in covalent bonding, Ionic bonding, Lone electron pairs, Shapes of molecules.
Radio activity, Alpha, beta and gamma rays and properties, Uranium series and decays, Half-lives, Nuclear fission.
Organic chemistry, Functional groups, Aliphatic and aromatic compounds, Saturated and unsaturated compounds, Homologous series. Addition, Elimination, Substitution, Redox Reactions, Naming and IUPAC Nomenclature, Structural isomerism, Chain, positional and functional isomerisms, Stereo isomerism, Geometric and optical isomerisms.
Alkanes, Straight chain and cyclic alkenes, Chlorination, Combustion, Alkenes, Halogenations, Reaction with hydrogen halides, Markownikoff’s Rule, Hydration, Hydrogenation, Polymerization.
Alkynes, Nomenclature, Reactions, Alcohols, Physical properties, Hydrogen bonding, Chlorination, Dehydration, Esterification, Oxidation, Primary secondary tertiary alcohols, Glycerol, Haloalkanes, Nomenclature, Physical properties, Alcohol formation, Amine formation, Alkene formation.
Amines, Physical properties, Reaction with water, Salt formation, Aldehydes and ketones, Nomenclature, Reaction with Hydroxylamine, Fehling’s Test and Tollen’s Test, Carboxylic acids, properties and reactions, Acid chlorides, Esters and amides, Polymers, Addition polymerization, Condensation polymerization, Amino acids and proteins.
Inorganic substances, Formulas of compounds, Color and solubility of compounds, Lewis Structures and shapes, Silicates, Chemistry of halogens, Chemistry of transition metal compounds, Complex ions and coordination numbers.
Reaction chemistry of copper ions, Ferrous and ferric ions, Ions, Zinc, Chromium, Manganese. Oxidation and reduction, Oxidation states, Oxidants and their half equations, Reductants and half equations, Balancing redox equations, Redox titrations, Electro chemistry and electro chemical cells, Hydrogen electrodes, Electrode potentials, Lead-acid battery, Leclanche’s dry cell.
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Often too abstract and overpowering, yet essential for so many important career paths. Our course simplifies the difficult topics and covers all major areas. Considerable work with applications and exercises related to real life. Become ready for Physics at school and later at college.
Motion, Distance, Speed, Acceleration, Time based graphs, Forces, Units of forces, Formula of force, Work energy and power, Heat units, Heat calculations, Electrical energy in a circuit, Symbols for circuits, Simple electric circuits, Current and voltage calculations, Resistance and calculations, Resistors in parallel and series, Power in a circuit.
SI Units of physical quantities, Rounding and significant figures, Dependent and Independent variables, Continuous/discrete variables. (Introduction to basic trigonometry will be taught.) Motion, Distance and displacement, Instantaneous speed, Average speed, Speed and velocity, Acceleration, Displacement-Time graphs, Velocity-Time graphs, Acceleration-Time graphs, Kinematic equations.
Scalars and vectors, Reference frames, Compass points, Compass bearings, Addition, subtraction, multiplication and division of vectors, Components of a vector, Relative velocity. Force, motion and equilibrium, Resultant force, Newton’s laws, Equation of force, Friction, Mass and weight, Acceleration due to gravity, Tension, Torque, Equilibrium of forces.
Momentum, Change in momentum, Conservation of momentum in one and two dimensions. Energy, Work, Potential energy calculations, Kinetic energy, Power, Conservation of energy. Gravitational force calculations, Vertical motion on earth surface, Projectile motion. Circular motion, Centripetal force, Centripetal acceleration, Circular motion in gravitation.
Heat energy, Conduction, convection and radiation, Specific heat capacity, Latent heat and states of matter. Density, Pressure, Gas laws, Pressure, force and area, Pressure and depth, Atmospheric pressure, Boyle’s law, Charles’ law, Pressure and Temperature, General gas equations, Kinetic theory.
Electrostatics, Insulators and conductors, Electroscopes, Coulomb, Forces between charges, Coulomb’s law. Electric fields, Electric potentials, Field lines, Field strengths, Electric potential energy, Potential gradient, Millikan’s experiment and elementary charge, Motion of an electron in an electric field, Electron gun, Oscilloscopes.
Electric currents, Ampere, Voltage, Circuits, Resistance, Combination of resistors, Power in electrical circuits. Magnetism, Magnetic Fields, Right hand grip rule, Solenoids, Force on a current in a magnetic field, Forces on moving charges in a magnetic field, Torque on a coil in a magnetic field, Electro magnetic induction, Transformer effects.
Reflection of light, Inverse square law of illumination, Image in plane mirror, Curved mirrors, Formulas for spherical mirrors. Refractions, Laws of refraction, Refractive index, Total internal reflection, Lenses, Ray diagrams, Formulas for lenses, Particle model of light. Waves, Longitudinal and transverse waves, Amplitude velocity frequency and period, reflection and transmission of pulses, Wave model, Wave refraction formula. Sound, Speed, Interference, Ripple tank interference pattern, Refraction of light, Young’s experiment.
Atomic physics and radioactivity, Dalton, Thomson, Rutherford. Quantum theory, Photo electric effect, Isotopes, Radiations, Half life, Nuclear reaction equations, Fission reactions, Nuclear fusion, Uses of radioactivity.
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We have a fine record of high scores and Ivy League college entry. Develop insight, confidence and ease. An introduction to all sections and strategies. The best from a variety of resources, not from a single franchised resource.
SAT Language Sections:
Writing an SAT Essay: Understanding the topic, Arriving at an effective position and strong examples. Selection of position on the topic, Single and multiple positions, Brainstorming, Evidence and its organization, Structure of sentences, Vocabulary level, grammar and usage, Time management, Overall impact. Focus on supporting the position taken.
Critical Reading Strategies and Approaches: Sentence completion strategies, One word or two word selections, Strategies of positive and negative sense, Unfamiliar words, Elimination, Word analysis.
Reading and Response to Reading: Practice reading complex text, Typical sources of readings, Main idea, Specific details, Conclusions inferences and implications, tone, mood, attitude, emotions, opinions. Vocabulary in context, Paired passages.
Vocabulary Programs: Learning and application of vocabulary will occupy one section. In addition vocabulary practice will be a component of all sections. The main vocabulary program will consist of words that often appear in SAT, and their usage in sentences. Also a revision of word parts will be undertaken.
Grammar and Usage: Sentence fragments, Run-on sentences, Subject-verb agreements, Pronoun problems, Choice of modifiers, Common errors, Choice of prepositions.
Improving Writing and Style: Error detection and sentence correction, Improving paragraphs.
SAT Math Sections:
Arithmetic: Integers, Exponents and rules, Order of operations, Inequalities, Fractions and decimals, Percents, Ratios and proportions, Averages.
Algebra: Polynomials, Solving equations and inequalities, Systems of linear equations, Word problems, Manipulation of distance and age problems. Functions and graphs.
Geometry: Lines and angles, Triangles, Quadrilaterals and other polygons,
Circles, Solid geometry, Coordinate geometry, Counting and probability, Logical reasoning, Representation of Data,