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Algebra I
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• COURSE OVERVIEW: Algebra I presents algebraic concepts on a high school level, but in a more basic manner. This course is recommended for high school and gifted middle school students  especially for those planning careers in the trades or nonSTEM college career paths. Course topics include: Algebraic Expressions and Equations; Proportions, Inequalities, and Absolute Values; Introduction to Functions; Linear Functions and Systems; Exponential Properties and Functions; Factoring; Quadratic, Inverse, and Square Root Functions; Statistical Analysis;
• Unit 1  Algebraic Expressions and Equations In this unit students come to understand variables, expressions, algebraic language, classifying numbers, evaluating algebraic expressions, equations, input, output, and analyzing equations, patterns, and graphs. They also learn solving onestep equations with addition, subtraction, multiplication, and division, as well as solving twostep equations and multistep equations. They also learn solving equations with distributive property and with variables on both sides, solving special equations and solving literal equations and formulas.
• Unit 2  Proportions, Inequalities, and Absolute Values In this unit, students learn ratios, rates, and conversions, as well as solving proportions in general and with maps. In addition they learn proportions and similar figures. They also learn percent change, graphing inequalities on a number line, solving positive and negative multistep inequalities, solving special inequalities, solving inequalities with variables on both sides, compound inequalities, and absolute value equations and inequalities.
• Unit 3  Introduction to Functions In this unit students learn mapping diagrams, distinguishing relations from functions, investigating patterns and linear functions, investigating patterns and nonlinear functions, and independent and dependent variables. They also learn graphing a function rule, function notation, writing a function rule, identifying arithmetic sequences as linear functions, rate of change and slope, direct variation, slopeintercept form, and special linear equations.
• Unit 4  Linear Functions and Systems In this unit students will learn slopeintercept transformations, pointslope form, pointslope form alternative: y = mx + b inputs, finding X and Y intercepts with standard form, converting standard form to slope intercept form, and converting slope intercept form to standard form. They will also learn parallel lines, perpendicular lines, solving systems by graphing, substitution, and elimination, applying linear systems in the real world, graphing linear inequalities in two variables, graphing systems of linear inequalities, applying systems of linear inequalities in the real world, and graphing positive and negative absolute value functions.
• Unit 5  Exponential Properties and Functions In this unit students develop understanding of concepts including zero and negative exponents, multiplication and division properties of exponents, conversion from exponential to radical form, exponential functions, growth, and decay. Students also learn geometric sequences, adding and subtracting polynomials, multiplying monomials by polynomials, multiplying binomials, and multiplying binomials raised to powers.
• Unit 6  Factoring In this unit students learn greatest common factor with coefficients, with variables, and with variables and coefficients. They also learn trinomials, with a leading coefficient of one, as well as with prime leading coefficients, and with composite leading coefficients. In addition, they learn about factoring perfect square trinomials, factoring difference of squares binomials, and factoring fourterm polynomials.
• Unit 7  Quadratic, Inverse, and Square Root Functions In this unit students learn quadratics and leading coefficients, quadratics and axes of symmetry, quadratic zeroes and Yintercept, quadratic domain and range, quadratic vertices as minima and maxima, and quadratic vertex form vs. standard form. They also learn solving quadratic equations by graphing, by factoring, by square roots, by completing the square, and with the quadratic formula, as well as linear, quadratic, and exponential functions, systems of linear and quadratic equations, inverse functions, solving square root equations, and graphing square root functions.
• Unit 8  Statistical Analysis In this unit students gain understanding of frequency and histograms, measures of central tendency and dispersion, and standard deviation. They also learn about boxandwhisker plots, scatter plots and correlation, correlation versus causation, trend lines in scatter plots, and interpolation versus extrapolation.
Advanced Algebra I
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• COURSE OVERVIEW: Advanced Algebra I teaches students the basic principles, rules, and operations of working with expressions containing variables. Algebra I  Advanced is AG Approved through the University of California.
• Unit 1 – Foundations of Algebra This unit covers variables and expressions, order of operations, real numbers, properties, adding, subtracting, multiplying and dividing, and the distributive property. It also introduces equations and twovariable equations.
• Unit 2 – Equations This unit discusses one, two, and multistep equations, equations with variables on both sides, and literal equations, ratios and rates, conversions, similar figures, percents, and percent change.
• Unit 3 – Inequalities This unit covers inequalities, addition, subtraction, multiplication and division with inequalities, sets, interval notation, compound inequalities, and absolute value equations and inequalities.
• Unit 4 – Graphing This unit discusses twovariable graphs, patterns, nonlinear graphs, graphing a function, writing a rule, relations and functions, and arithmetic sequences.
• Unit 5 – Functions This unit covers rate of change, direct variation, pointslope, slopeintercept, standard form, parallel and perpendicular, scatter plots and trend line, and absolute value functions.
• Unit 6 – Systems This unit discusses solving systems by graphing, and also covers substitution, elimination, applications of systems, linear inequalities, and systems of inequalities.
• Unit 7 – Exponents This unit discusses zero and negative exponents, multiplying powers, multiplication and division properties, rational exponents, exponential functions, exponential growth and decay, and geometric sequences.
• Unit 8 – Polynomials This unit discusses adding and subtracting polynomials, multiplying and factoring, multiplying binomials, special products, factoring a trinomial, factoring by grouping, and special cases.
• Unit 9 – Quadratic Functions This unit covers quadratic graphs, functions and equations; solving by factoring, completing the square, the quadratic formula, math modeling, and systems of linear and quadratic equations.
• Unit 10 – Radicals This unit discusses the Pythagorean Theorem, simplifying radicals, operations with radicals, solving radical equations, graphing square root functions, and trig ratios.
• Unit 11 – Rational Expressions This unit covers simplifying, adding, subtracting, multiplying and dividing rational expressions, dividing polynomials, solving rational equations, inverse variation, and graphing rational functions.
• Unit 12 – Probability and Statistics This unit covers matrices, frequency and histograms, statistical measures, box and whisker plots, samples and surveys, permutations, combinations, theoretical and experimental probability, and compound events.
Algebra I – Spanish
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• COURSE OVERVIEW: Algebra Spanish teaches students the basic principles, rules, and operations of working with expressions containing variables. Algebra Spanish incorporates English math terminology so that Spanishspeaking students can transition to math classes taught in English as effortlessly as possible. Course topics include the following: Order of Operations; Basic Properties of Algebra; One and TwoStep Equations; MultiStep Equations; Literal Equations; Mixtures; Uniform Motion; Formulas for the Equation of a Line (PointSlope and SlopeIntercept forms); Equations for Parallel and Perpendicular Lines; Parabolas; Inequalities; Systems of Equations; Polynomial Operations; Factoring Polynomials; Rational Expressions; Radical Expressions and Equations; The Distance Formula; Quadratic Formula; This course has been developed for students in grades 8 and above. We recommend that students complete FunMath Spanish prior to taking this course to ensure that they have a strong foundation of basic mathematical principles on which to build. This is a NCTM standardsbased course.
• Unit 1 – Foundations of Algebra This unit covers verbal and algebraic expressions and algebraic patterns, order of operations, open sentences, basic properties of algebra, arithmetic with integers, and absolute value.
• Unit 2 – Rational and Irrational numbers. This unit discusses comparing, ordering, adding, subtracting, multiplying and dividing rational numbers, as well as square roots, squares, and irrationals.
• Unit 3 – Equations and Their Applications This unit covers onestep equations using addition, subtraction, multiplication, and division, as well as properties of equality, twostep equations, complement, supplement, number, perimeter, and angle problems, clearing fractions and decimals, consecutive integers, and multistep and literal equations.
• Unit 4 – More Applications with Equations This unit discusses solving proportions. It also discusses similar triangles, percents, simple interest, percent of increase or decrease, probability and odds, mixtures, and uniform motion.
• Unit 5 – Foundations of Graphing This unit covers ordered pairs and relations, graphing linear equations, writing equations from relations, definitions of and calculating slope, and pointslope and slopeintercept formulas.
• Unit 6 – More Graphing Concepts This unit presents shortcuts to graphing, parallel and perpendicular slopes and equations of them, midpoints, graphing absolute value, parabolas, and solving equations with a calculator.
• Unit 7 – Inequalities This unit discusses solving inequalities using addition, subtraction, multiplication, and division, as well as multistep inequalities and graphing inequalities
• Unit 8 – Systems of Equations This unit discusses solving systems of equations by graphing, substitution, addition, and multiplications. It also discusses graphing systems of inequalities.
• Unit 9 – Polynomials This unit covers polynomials and uses algebra tiles to demonstrate them, as well as to demonstrate adding, subtracting, multiplying, and dividing polynomials. It also discusses multiplying polynomials by monomials.
• Unit 10 – More Operations with Polynomials This unit discusses multiplying polynomials, special binomial products, factoring polynomials, binomial factors, and using FOIL for multiplying binomials and factoring. It also discusses using the zero product property to solve equations.
• Unit 11 – Rational Expressions This unit covers simplifying, adding, subtracting, multiplying and dividing rational expressions, and dividing a polynomial by a binomial.
• Unit 12 – Radical Expressions and Equations This unit covers simplifying square roots and radical expressions, and rationalizing denominators. It also covers radical expressions and radical equations.
• Unit 13 – Distance Formula and Quadratic Equations This unit explains the distance formula, quadratic equations, completing the square, the quadratic formula, and rules of exponents.
Algebra I SEd
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• COURSE OVERVIEW: AlgebraSE presents special education students with the basic principles, rules, and operations of working with expressions containing variables. Course topics include: Order of Operations; Basic Properties of Algebra; Integer Operations; One and TwoStep Equations; MultiStep Equations; Graphing; Basic Inequalities; Basic Systems of Equations; Basic Polynomial Operations; We recommend that students complete PreAlgebraSE prior to taking this course to ensure that these students have a strong foundation of basic mathematical principles upon which to build.
• Unit 1 – Foundations of Algebra This unit covers verbal and algebraic expressions and algebraic patterns, order of operations, basic properties of algebra, arithmetic with integers, number sets and absolute value. It also discusses comparing, ordering, adding, subtracting, multiplying and dividing rational numbers, as well as square roots, squares, and irrationals.
• Unit 2 – Equations and Their Applications This unit covers onestep equations using addition, subtraction, multiplication, and division, as well as properties of equality, twostep equations, complement, supplement, number, perimeter, and angle problems, clearing fractions and decimals, consecutive integers, and multistep and literal equations.
• Unit 3 – More Applications with Equations This unit discusses solving proportions. It also discusses similar triangles, percents, simple interest, percent of increase or decrease, probability and odds.
• Unit 4 – Foundations of Graphing This unit covers ordered pairs and relations, graphing linear equations, definitions of and calculating slope, and pointslope and slopeintercept formulas.
• Unit 5 – Inequalities and Systems of Equations This unit discusses solving inequalities using addition, subtraction, multiplication, and division, as well as multistep inequalities and solving systems by substitution, addition, and multiplication.
• Unit 6 – Polynomials This unit covers polynomials and uses algebra tiles to demonstrate them, as well as to demonstrate adding, subtracting, multiplying, and dividing polynomials. It also discusses multiplying polynomials by monomials.
• Unit 7 – More Operations with Polynomials This unit discusses multiplying polynomials, special binomial products, factoring polynomials, binomial factors, and using FOIL for multiplying binomials and factoring. It also discusses using the zero product property to solve equations, simplifying, rational expressions, and dividing a polynomial by a binomial.
Geometry
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• COURSE OVERVIEW: Geometry provides students with a knowledge of geometric concepts and guides them through the process of developing important mathematical reasoning and proof skills. Students also gain a perspective of how geometry is an integral part of everyday life.. Geometry is AG Approved through the University of California.
• Unit 1 – Tools of Geometry This unit covers nets and perspective drawings, points, lines, and planes. It also covers measuring segments and angles, angle pairs, basic construction, the coordinate plane, perimeter, circumference, and area.
• Unit 2 – Reasoning and Proof This unit discusses inductive reasoning and conditional statements. It also discusses biconditionals, deductive reasoning, and proofs.
• Unit 3 – Parallel and Perpendicular Lines This unit covers transversals, parallel lines, proving lines parallel, parallel and perpendicular, angle sum theorem, more constructions, equations of lines, and slopes of parallel and perpendicular lines.
• Unit 4 – Congruent Triangles This unit discusses congruent figures, SSS and SAS, ASA and SAA, and corresponding parts. It also discusses isosceles and equilateral, right triangles, and overlapping triangles.
• Unit 5 – Relationships Within Triangles This unit covers midsegments, bisectors, and centers of triangles. It also covers indirect proof, and inequalities in one and in two triangles.
• Unit 6 – Polygons This unit discusses polygon angle sums, parallelograms, proving a parallelogram, rhombuses, rectangles, and squares. It also discusses proving special parallelograms, trapezoids and kites, polygons and coordinates, and using coordinates in proofs. Following this unit students are presented with the Midterm Review and Exam.
• Unit 7 – Similarity This unit discusses ratios and proportions and similar polygons. Also discussed are proving triangles similar, similarity in right triangles, and proportions in similar triangles.
• Unit 8 – Right Triangles and Trigonometry This unit discusses the Pythagorean Theorem, special right triangles, and trigonometry. Also discussed are angles of elevation and depression, the law of sine, and the law of cosine.
• Unit 9 – Transformations This unit covers translations, reflections, rotations, and compositions. Also covered are congruence transformations, dilations, and similarity transformations.
• Unit 10 – Area This unit discusses areas of parallelograms, triangles, trapezoids, rhombuses, kites, and regular polygons. It also discusses circles, sectors, and perimeters and areas of similar figures. It also covers trigonometry and area, circles and arcs, lengths of arcs, area addition and subtraction, and geometric probability.
• Unit 11 – Surface Area and Volume This unit discusses polyhedra, and surface areas and volumes of prisms, cylinders, pyramids, spheres, and similar solids. It also discusses volumes of cones.
• Unit 12 – Circles This unit covers tangent lines, chords and arcs, and inscribed angles. It also covers angle measures and segment lengths, circles in the coordinate plane, and locus.
• Unit 13 – Parabolas This unit explores parabolas and completing the square. It also investigates distance, midpoint, and circles.
• Unit 14 – Probability This unit discusses experimental versus theoretical probability, probability distributions, permutations, combinations, compound probabilities, probability models, conditional probability, expected value, and twoway tables. Following this unit students are presented with the Final Review and Exam.
Geometry – SEd
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• COURSE OVERVIEW: Designed for special education, GeometrySE teaches students the basic principles of Euclidian Geometry including points, lines, angles, surfaces, and solids. GeometrySE is recommended for students in grades 912 who have completed AlgebraSE, to ensure that these students have a strong foundation upon which to build.
• Unit 1 – Measure This unit covers the pythagorean theorem, rays, angles, and planes, measuring angles and perpendiculars, and congruency in size and shape.
• Unit 2 – Logic This unit discusses inductive and deductive reasoning, ifthen statements, truth tables, postulates, and proofs.
• Unit 3 – Transformations This unit covers reflections, rotations, translations, dilations, tessellations, and symmetry.
• Unit 4 – Congruent Angles This unit discusses the angleaddition and correspondingangle postulates, complement and supplement, vertical angles, angle bisectors, transversals, and alternate interior and corresponding angles.
• Unit 5 – Triangles  Part A This unit covers triangle classification, the 180 Degree Theorem, exterior angles, and congruency of triangles. Also covered are SSS and SAS, as well as ASA and SAA.
• Unit 6 – Area & Pythagorean Theorem This unit discusses area versus perimeter, polygons, and 306090 and 454590 triangles.
• Unit 7 – Polygons This unit discusses quadrilaterals, parallelograms, rhombi, rectangles, squares, polygons, regular polygons, and polyhedra.
• Unit 8 – Similarity This unit defines similarity and discusses the perimeter and area of similar figures, as well as AA, SSS, and SAS.
• Unit 9 – Circles This unit covers radius, diameter, and chord, as well as tangent lines and formulas for circumference and area of circles.
• Unit 10 – Surface Area This unit includes surface area of prisms, cylinders, and spheres.
• Unit 11 – Volume This unit discusses the volume of prisms, cylinders, and spheres.
Algebra II
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• COURSE OVERVIEW: Algebra II builds upon the algebraic concepts taught in Algebra I, continuing on to functions, expressions, etc. and providing students with a more indepth understanding of algebraic concepts. Algebra II is AG Approved through the University of California.
• Unit 1 – Algebraic Expressions This unit covers algebraic expressions, sets of numbers, solving equations and inequalities, simplifying and evaluating, and absolute value.
• Unit 2 – Functions This unit discusses the definition of a function, and covers direct variation, slopeintercept, pointslope, piecewise defined functions, linear models, transformations of functions, absolute value functions, and inequalities in two variables.
• Unit 3 – Linear Systems This unit covers solving graphically, substitution, elimination, systems of inequalities, linear programming, systems in three variables, and matrices.
• Unit 4 – Quadratic Functions This unit discusses transformations, standard form, quadratic regression, quadratic equations, quadratic formula, and quadratic inequalities, factoring, completing the square, complex numbers, and graphing and representing operations of complex numbers.
• Unit 5 – Polynomials This unit covers polynomial functions and equations, factored form, dividing polynomials, synthetic division, finding roots, the fundamental theorem of algebra, graphing polynomial functions, binomial theorem, and regression.
• Unit 6 – Radical Functions This unit discusses properties of exponents, rational exponents, adding radicals, solving radical equations, composition of functions, inverse functions, and graphing radical functions.
• Unit 7 – Exponential and Logarithmic Functions This unit discusses exponential and logarithmic functions and equations, properties of logarithms, and compound interest.
• Unit 8 – Rational Fractions This unit discusses inverse variation, reciprocal functions, graphs of rational functions, adding, subtracting, multiplying, and dividing rational expressions, solving inequalities, and number theory.
• Unit 9 – Sequences and Series This unit covers explicit versus recursive definitions, and arithmetic and geometric sequences and series.
• Unit 10 – Conic Sections This unit includes definitions, parabolas, circles, ellipses, hyperbola, and quadratic systems.
• Unit 11 – Probability and Statistics This unit discusses permutations and combinations, probability, multiple events, conditional probability, probability models, analyzing data, standard deviation, samples and surveys, binomial and normal distributions, probability distribution functions, and expected value.
• Unit 12 – Matrices This unit discusses adding, subtracting, and multiplying matrices; inverses; solving systems using inverses; geometric transformations; and vectors.
• Unit 13 – Periodic Functions This unit discusses the definition of periodic; the unit circle; radian measure; the sine, cosine, and tangent functions; and reciprocal and translating trigonometric functions.
• Unit 14 – Trig Identities and Equations This unit discusses basic identities, solving and inverse trig functions, right triangles, the laws of sines and cosines, sum and difference identities, and double and half angle identities.
Algebra II SEd
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• COURSE OVERVIEW: Algebra II course for Special Ed students focuses on the concepts most important for these students, digging in deeper than the regular Algebra II course to provide needed additional instruction for success.
• Unit 1 In this unit, students learn about algebraic expressions, explore sets of numbers, learn about simplifying and evaluating, and investigate solving equations and inequalities. They also study absolute value.
• Unit 2 In this unit students come to understand the definition of a function, they learn about direct variation, they study slopeintercept, they investigate pointslope, and they learn about piecewise defined functions. In addition, they explore transformations of functions, learn about absolute value functions, and learn to work with inequalities in two variables.
• Unit 3 In this unit students explore solving graphically. They also learn about substitution and elimination, and study systems of inequalities.
• Unit 4 In this unit students learn about transformations, come to understand standard form and factoring, work with quadratic equations, and explore completing the square. They also study the quadratic formula and complex numbers.
• Unit 5 In this unit students learn about polynomial functions. They study factored form, explore polynomial equations, gain understanding of dividing polynomials, and investigate synthetic division.
• Unit 6 In this unit students gain understanding of properties of exponents. They also study exponential functions.
• Unit 7 In this unit students study probability. They also learn about analyzing data, as well as samples and surveys.
• Unit 8 In this unit, students learn the definition of periodic. They also come to understand the unit circle. They study radian measure, and explore the sine, cosine, and tangent functions. They learn to work with reciprocal trigonometric functions and basic identities, as well as with inverse trig functions and right triangles.
Trigonometry
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• COURSE OVERVIEW: In Trigonometry, students learn about the relationships between the sides and the angles of triangles and how to make calculations based on them using trigonometric functions. Trigonometry is AG Approved through the University of California.
• Unit 1 – Preliminaries This unit covers similarity and proportion, 306090 and 454590 right triangles, rationalizing the denominator, degrees, minutes, and seconds.
• Unit 2 – Right Triangle Trigonometry This unit discusses sine, cosine and tangent, word problems for each, as well as pythagorean and tangent identities.
• Unit 3 – Circles This unit covers radians and special angles, arc length, sector area, extended angles – coterminal, unit circle, and new definitions.
• Unit 4 – Additional Functions This unit discusses reciprocal and inverse functions.
• Unit 5 – Solving NonRight Triangles This unit covers areas of triangles and the laws of sines and cosines.
• Unit 6 – Vectors This unit discusses magnitude and directions, horizontal and vertical components, adding vectors geometrically and algebraically, and compass headings.
• Unit 7 – Powers, Roots, and Complex Numbers This unit discusses graphs of sine, cosine, tangent, secant, cosecant, and cotangent. Also covered are amplitude, period, horizontal and vertical translations, and a review of graphing concepts.
• Unit 8 – Identities This unit reviews identities and discusses cofunction and negative angle identities, and simplifying expressions.
• Unit 9 – Solving Trignometric Equations This unit covers combining like terms, square roots, factoring, and quadratics.
• Unit 10 – More Identities This unit includes sum and difference formulas for sine, cosine, and tangent, as well as doubleangle formulas, and halfangle formulas.
• Unit 11 – Problem Solving This unit discusses problem solving in trigonometry.
PreCalculus
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• COURSE OVERVIEW: PreCalculus covers topics that students must understand to tackle the rigorous AP Calculus AB course. Course topics include: Functions; Parallel and Perpendicular Lines; Analytic Trigonometry; Vectors, Parametric, and Polar; Systems and Matrices; Conics; Binomial Theorem, Regression; Finding Limits; Tangent Lines; Area Under a Curve; PreCalculus is AG Approved through the University of California.
• Unit 1 – Functions This unit covers definition, domain, range, continuity, increasing, decreasing, symmetry, asymptotes, end behavior, and extrema. Also presented are a function tool kit, piecewise defined functions, combining functions, composition, implicitly and parametrically defined, inverse functions, translations, dilations, modeling, and sequences.
• Unit 2 – Polynomial, Power, and Rational This unit discusses linear, quadratics, power, polynomial, long division, synthetic division, remainder and factor theorems, rational zeros, complex numbers and zeros, the fundamental theorem of algebra, rational functions and equations, inequalities, and interval notation.
• Unit 3 – Exponential, Logistic, and Logarithmic Functions This unit covers exponential, logistic, modelling with sequences, logarithmic, properties of log functions, equation solving, compound interest, sum of a geometric sequence, continuous compounding, and exponential modeling.
• Unit 4 – Trigonometric Functions This unit discusses angles, arc length, trig functions of acute angles, special angles, circular functions, graphs of sine and cosine, translations of trig functions, tangent, cotangent, secant, cosecant, harmonic motion, and inverse trig functions.
• Unit 5 – Analytic Trigonometry This unit covers basic identities, sums and differences, multiple angles, solving right triangles the laws of sines and cosines, and area.
• Unit 6 – Vectors, Parametric, and Polar This unit discusses vectors, dot products, parametric equations, polar coordinates and their graphs, complex numbers in polar form, DeMoivre’s Theorem, and complex roots.
• Unit 7 – Systems and Matrices This unit discusses solving systems of two equations, matrices, inverse matrices, and other uses of matrices. Also covered are multivariate systems and systems of inequalities.
• Unit 8 – Conics This unit includes parabolas, completing the square, distance, midpoint, circles, ellipses, and hyperbolas.
• Unit 9 – Calculus This unit covers binomial theorem and regression, finding limits, tangent lines, and area under a curve.
AP Calculus AB
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• COURSE OVERVIEW: AP Calculus is a twopart advanced placement course providing students with the curriculum required by the College Board for AP Calculus AB and BC. Students completing this course will be able to take the AP Calculus exam, enabling them to earn college credit for taking this course while still in high school. Besides learning how to use the basic tools of Calculus, students completing this course learn on a deeper level what they are really doing and why it works. This provides insight few students experience in more conventional Calculus courses, empowering them with the knowledge required to solve real world problems. This course has been audited and approved by the College Board. AP Calculus is AG Approved through the University of California.
• Unit 1 – PreCalculus Review This unit covers parent functions, polynomial – power functions, and trigonometric functions, as well as radical, rational, inverse, logarithmic, and exponential functions, and polynomial inequalities.
• Unit 2 – Limits and Continuity This unit discusses computations of limits, indeterminate forms, limits to infinity, proving continuity, intermediate value theorem, and types of discontinuity.
• Unit 3 – Derivatives: Part I This unit covers average versus instantaneous velocity, the tangent of y=x2 and of y=1/x, the general rule of the derivative, derivatives of constant and linear functions, the power rule for derivatives, and combination rules: sum and difference, product rule, and quotient rule.
• Unit 4 – Derivatives: Part II This unit discusses tangent and normal lines, approximating values of functions using local linearization, local linearity and differentiability, derivatives of trigonometric functions, product and quotient rules with trigonometric and algebraic functions, numerical derivative with a calculator, predicting what f'(x0 looks like graphically, and the graph of the derivative (calculator based).
• Unit 5 – Derivatives: Part III This unit covers the chain rule and chain rule activity, velocity of a particle in motion, acceleration with analysis, implicit differentiation: the differential method and the y’ method.
• Unit 6 – Derivatives: Part IV This unit discusses the derivative of the exponential function, inverse functions and derivatives, properties of logarithms, derivative of the logarithmic functions, logarithmic differentiation, combination rules, and derivatives of inverse trigonometric functions.
• Unit 7 – Derivatives: Part V This unit discusses analysis using first and second derivatives, absolute extrema, optimization problems, related rates, and mean value theorem for derivatives.
• Unit 8 – AntiDifferentiation: Part I This unit includes antidifferentiation, the chain rule and antidifferentiation, Usubstitution, antiderivatives with initial conditions, particle motion, exponential growth, decay and Newton’s law of cooling, slope fields, and slope fields with initial value problems.
• Unit 9 – AntiDifferentiation: Part II This unit covers definite integrals, the fundamental theorem o f calculus, approximate area using numerical methods, Riemann Sums – midpoint, net area, definite integrals with calculator, properties of the definite integral, Usubstitution with definite integrals, and the velocity/position connection.
• Unit 10 – AntiDifferentiation: Part III This unit discusses numerical approximations: the trapezoid rule, area under a curve, area of a region between two curves, and the average rule.
• Unit 11 – AntiDifferentiation: Part IV This unit discusses volumes of solids of revolution: the disc, washer, and shell methods, as well as volume of solids with known cross sections, arc length and surfaces of revolution, integration to find surface area, work problems, and liquid pressure and fluid force.
• Unit 12 – AntiDifferentiation: Part V This unit reviews integrals and discusses integration by parts, Newton’s Method, indeterminate forms and L”Hopital’s Rule, inverse trigonometric integrals, velocity, acceleration, and preparing for the AP Calculus AP Exam.
AP Calculus AB Exam Prep
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• COURSE OVERVIEW: This course presents a comprehensive review of AP Calculus AB, including a discussion about taking the exam, as well as derivatives, equation of tangent line, implicit differential, antidifferentiation, limits, 1st derivative analysis, f' and f" analysis, continuity and differentiability. Also covered are related rates, fundamental theorems of calculus, position, velocity, acceleration, and speed, as well as inverse functions, chain rule, average value, definite integrals, volumes of solids, differential equations, approximating area, mean, extreme, and intermediate value theorem, multiple representations of functions, data presented in tables, implicit differentiation, and slope fields.
• The AP Calculus AB Exam Prep course was designed for students to quickly and efficiently review many concepts typically covered on the AP Calculus AB Exam. After being shown stepbystep how to solve several carefully selected examlike problems on a particular topic, students are given similar problems to cement their understanding. Two videos are provided for each lesson, giving students a "fast track" option as well as additional, more detailed instruction. AP Calculus course is authorized by the College Board for the use of "AP" in the title.) This course can be used either in conjunction with AP Calculus or as a standalone preparation course following other AP Calculus AB curriculums. The AP Calculus AB Exam Prep course:
• Consists of short, concise lessons
• Presents problems modeled after those given in previous AP Calculus AB Exams
• Provides may different types of problems, some requiring an analytical (algebraic) approach, others requiring numerical analysis or a graphical solution
• Covers both multiple choice and freeresponse types of problems
• Incorporates both calculator active and noncalculator active types of problems
• Provides helpful strategies to be used when taking the AP Calculus AB Exam
• Includes information on exam grading
• Contains suggestions on how to make final preparations prior to taking the exam
• Gives students extra confidence going into the exam
AP Calculus BC
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• COURSE OVERVIEW: AP Calculus is a twopart advanced placement course providing students with the curriculum required by the College Board for AP Calculus AB and BC. Students completing this course will be able to take the AP Calculus exam, enabling them to earn college credit for taking this course while still in high school. Besides learning how to use the basic tools of Calculus, students completing this course learn on a deeper level what they are really doing and why it works. This provides insight few students experience in more conventional Calculus courses, empowering them with the knowledge required to solve real world problems. This course has been audited and approved by the College Board. AP Calculus BC is AG Approved through the University of California.
• Unit 1 – Techniques of Integration This unit includes the chain rule, usubstitution, expanding, separating the numerator, completing the square, dividing, adding and subtracting terms, trig identities, integration by parts, trig integrals, trig substitution, partial fractions, L’Hopital’s Rule, improper integrals, and Euler’s Method.
• Unit 2 – Sequences and Series This unit discusses sequences, telescoping series, integral test and pseries, and alternating series, direct and limit comparison tests, ratio and root tests, Taylor Polynomials and Taylor’s Theorem, power series, and Taylor series for familiar functions.
• Unit 3 – Parametric Equations This unit covers derivatives and second derivatives of parametric equations, arc length, polar coordinates including area and arc length, and derivatives of polar functions.
• Unit 4 – Vectors This unit discusses dot and cross products, vector valued functions, differentiation, integrations, velocity, and acceleration.
• Unit 5 – AP Practice This unit provides practice with problems such as those encountered on the AP Calculus BC exam.
AP Statistics
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• COURSE OVERVIEW: AP Statistics has been audited and approved by the College Board to provide students with a collegelevel learning experience. In this course, students learn about the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students should successfully complete Algebra II prior to taking this course. This course is California AG approved.
• Unit 1 In this unit, students learn about what statistics are and how the information they learn will help them. They discuss data, bar graphs, and pie charts, twoway tables, dotplots, stemplots, and histograms. They also study measuring center and measuring spread, and look at sample FreeResponse Advance Placement Exam Problems (F.R.A.P.P.Y's).
• Unit 2 In this unit students learn about measuring position, transforming data, density curves, and standard normal distribution. They explore normal distribution calculations, assessing normality, and more F.R.A.P.P.Y's.
• Unit 3 In this unit students discuss explanatory/response variables and scatterplots, measuring linear association: correlation, leastsquares regression, and line and residual plots. They also investigate S and r2 in regression, and interpreting computer regression output.
• Unit 4 In this unit, students study simple random sampling, sampling methods, sample surveys, and what can go wrong with them. They also learn about observational study versus experiment, how to experiment well, what things can go wrong with experiments. In addition, they learn about blocking and the challenges of establishing causation.
• Unit 5 In this unit students explore probability, myths about randomness, simulation, and the basic rules of probability. They also discuss tables, rules, and diagrams, as well as the general multiplication rule, tree diagrams, and a special multiplication rule.
• Unit 6 In this unit, students investigate the mean of a discrete random variable, standard deviation of a discrete random variable, and linear transformations. They also study combining random variables, binomial settings and binomial probabilities, as well as mean/standard deviation in binomial distribution and geometric random variables. Following this unit, students are presented with the Midterm Review and Exam.
• Unit 7 In this unit students are introduced to interference and learn about describing sampling distributions. They also discuss the sampling distribution of p and of x, and the central limit theorem.
• Unit 8 In this unit students learn about interpreting confidence intervals and levels, more on confidence intervals, constructing a confidence interval for p, and choosing a sample size. They also explore the t distributions, confidence interval, and choosing a sample size.
• Unit 9 In this unit students study stating hypotheses and significance tests, as well as Type I and Type II errors. They also discuss the onesample z test for a proportion, the onesample t test, and inference for means: paired data.
• Unit 10 In this unit students explore sampling distribution with proportions, confidence intervals between two proportions, and significance tests between two proportions. They also study the sampling distribution between two means, and the twosample ttests.
• Unit 11 In this unit students gain understanding of the chisquare statistic and carrying out a chisquare test. They also learn about the chisquare test for homogeneity and the chisquare test for independence.
• Unit 12 In this unit students study sampling distribution and regression conditions and constructing a confidence interval for the slope. They also explore performing a significant test for the slope, and transforming with logarithms. Following this unit students are presented with the Final Review and Exam.
College Exam Math Prep
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• COURSE OVERVIEW: The College Exam Math Preparation course has been specially developed to help students prepare to take the math portion of the ACT or SAT college entrance exam. Students watch as problems similar to those presented in these exams are solved in the highquality video lessons. After each lesson students are presented with several similar problems to enable them to practice the concepts that they have just reviewed.
• Course topics include: Sets; Number Bases; Fractions, Decimals, and Percentages; Permutations and Combinations; Linear Equations; Polynomials; Quadratics; Application Problems; Exponents; Radicals; Distance and MidPoint Formulas; Conic Sections; Systems of Equations; Exponential and Logarithmic Functions; Sequences and Series; Complex Numbers; Polygons; Pythagorean Theorem; Special Right Triangles (306090 and 454590); Area and Perimeter; Trigonometric Functions; Graphs of Trigonometric Functions. This course is an excellent review for all students preparing to take either the ACT or SAT. Students completing the College Exam Math Preparation course should be well prepared to take the math portion of these very important exams.
• Unit 1 – PreAlgebra This unit covers basic prealgebra concepts, such as sets and sets of numbers, number bases, axioms, order of operations, absolute value, prime and composite numbers, lowest common multiples and greatest common factors, fractions, percents, permutations, combinations, and probability.
• Unit 2 – Algebra I This unit reviews concepts from Algebra I, including variables, like terms, linear equations, statistics, polynomials, factoring, and quadratics. Also covered are variation, exponents, radicals and radical equations, and distance and midpoint formulas, as well as age problems, geometric word problems, motion problems, coin and stamp problems, ratio problems, and work problems.
• Unit 3 – Algebra II This unit reviews Algebra II, including equation of a line, conic sections, functions, systems of equations, exponential and log functions, sequences, series, and complex numbers.
• Unit 4 – Geometry This unit discusses segment lengths, congruent angles, polygons, similar triangles, pythagorean theorem, 306090 and 454590 triangles, quadrilaterals, central and inscribed angles, area and perimeter.
• Unit 5 – Trigonometry This unit covers radians, degrees, trigonometric definitions and their graphs, inverse trigonometric functions, and identities. It further provides success strategies for taking college entrance exams.
FUNdamental Math
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• COURSE OVERVIEW: The FUNMath course was developed to ensure that students have a strong foundation in basic mathematical concepts prior to introducing them to more advanced topics. We have found that students often have difficulty in Algebra when they have a weak foundation in mathematics. FUNMath helps to fill in the holes in student understanding, providing them with a strong foundation of basic mathematical concepts upon which they can build. It is recommended that students take FUNMath at either the end of grade 7 or 8 or at the beginning of grade 9 as a refresher for those preparing to go into Algebra. A Spanish version of FUNMath is also available. FUNMath is based on NCTM standards
• Unit 1 – Introduction and Basic Foundation This unit covers addition, subtraction, multiplication, and division of whole numbers, divisibility rules, prime and composite numbers, greatest common factors, prime factorization, place value, estimating, order of operations, powers of ten, and formulas and variables.
• Unit 2 – Fractions This unit discusses ratios, rates, proportions, improper and mixed fractions, simplifying fractions, least common multiples, adding, subtracting, multiplying, and dividing fractions and mixed numbers.
• Unit 3 – Decimals This unit covers adding, subtracting, and multiplying decimals, as well as dividing decimals by whole numbers and by powers of ten, comparing and ordering decimals, and terminating and repeating decimals.
• Unit 4 – Decimals and Fractions This unit discusses standard and scientific notation, the metric system, forms and types of percent, simple interest and applied percent, and circle graphs.
• Unit 5 – Probability This unit covers the counting principle, tree diagrams, basic probability, independent and dependent events, using probability for prediction, factorials, permutations, and combinations.
• Unit 6 – Statistics This unit discusses mean, median, mode, range, frequency tables, and pictographs. Also covered are reading and interpreting graphs; bar, brokenline, and other graphs; and misleading statistics.
• Unit 7 – Geometry of Angles and Lines This unit discusses geometry symbols, planes, points, lines (including parallel lines and transversals), and angles.
• Unit 8 – Polygons This unit discusses triangles, quadrilaterals, and other polygons, as well as angles in triangles and regular polygons.
• Unit 9 – Perimeter, Area, and Volume This unit covers perimeter, area, volume, and surface area.
• Unit 10 – Miscellaneous Geometry This unit discusses square roots, the Pythagorean Theorem, circles, transformations, and symmetry.
• Unit 11 – PreAlgebra This unit covers set notation and Venn Diagrams, comparing, ordering, adding, subtracting, multiplying and dividing integers, absolute value, and order of operations. Also covered are the zero, identity, commutative, associative, and distributive properties, and basic graphing including ordered pairs and the coordinate plane.
• Unit 12 – Beginning Algebra This unit covers comparing, ordering, adding, subtracting, multiplying, and dividing rational numbers, as well as expressions and equations, order of operations with and without variables, and the meaning of algebraic symbols. Also discussed are one and twostep equations, decimals and fractions, formulas, literal equations, patterns, functions, graphing straight lines, and basic inequalities
FUNdamental Math – Spanish
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• COURSE OVERVIEW: FUNMath Spanish was developed to ensure that students whose primary language is Spanish have a strong foundation in basic mathematical concepts , prior to moving them on to more advanced topics. We have found that students with a weak foundation in mathematics often struggle in Algebra. FUNMath Spanish helps students to fill in the holes in their understanding, helping them build a strong foundation of basic mathematical concepts from which they can build their understanding of Algebra. FUNMath Spanish has been successfully used for students in grades 59, we recommend that students take this course at either the end of grade 7 or 8, or at the beginning of grade 9 as a refresher for students preparing to take Algebra Spanish. FUNMath Spanish incorporates the English math terminology so that Spanishspeaking students can transition to the English language courses as effortlessly as possible. Course topics include: Whole Number Operations; Order of Operations; Fractions/Decimals/Percentages; Probabilities (including permutations and combinations); Statistics (mean, median, mode, range, and graphs); Planes, Points, Lines, and Angles; Polygons (types of polygons and several properties); Perimeter, Area, and Volume; Square Roots; Pythagorean Theorem; Absolute Value; Integer Operations; Basic Graphing; Operations using Rational Numbers; One and TwoStep Equations; Basic Inequalities;
• Unit 1 – Introduction and Basic Foundation In this unit students study addition, subtraction, multiplication, and division of whole numbers. They explore divisibility rules, prime and composite numbers, greatest common factors, prime factorization, place value, estimating, order of operations, powers of ten, and formulas and variables.
• Unit 2 – Fractions In this unit students discuss ratios, rates, proportions, improper and mixed fractions. They learn to simplify fractions, find least common multiples, and add, subtract, multiply, and divide fractions and mixed numbers.
• Unit 3 – Decimals In this unit students explore adding, subtracting, and multiplying decimals, as well as dividing decimals by whole numbers and by powers of ten. They learn to compare and order decimals, and terminating and repeating decimals.
• Unit 4 – Decimals and Fractions In this unit students gain understanding of standard and scientific notation, the metric system, and forms and types of percent. They investigate simple interest and applied percent, and circle graphs.
• Unit 5 – Probability In this unit students discover the counting principle, tree diagrams, and basic probability. They learn independent and dependent events, using probability for prediction, factorials, permutations, and combinations.
• Unit 6 – Statistics In this unit students discuss mean, median, mode, range, frequency tables, and pictographs. They also gain understanding of reading and interpreting graphs; bar, brokenline, and other graphs; and misleading statistics.
• Unit 7 – Geometry of Angles and Lines In this unit students learn geometry symbols, and planes. They also study points, lines (including parallel lines and transversals), and angles.
• Unit 8 – Polygons In this unit students discuss triangles, quadrilaterals, and other polygons. They also gain understanding of angles in triangles and regular polygons.
• Unit 9 – Perimeter, Area, and Volume In this unit students study perimeter and area. They also learn about volume and surface area.
• Unit 10 – Miscellaneous Geometry In this unit students discuss square roots and the Pythagorean Theorem. They also investigate circles, transformations, and symmetry.
• Unit 11 – PreAlgebra In this unit students explore set notation and Venn Diagrams, comparing, and ordering. They learn to add, subtract, multiply and divide integers, and study absolute value and order of operations. They also study the zero, identity, commutative, associative, and distributive properties, and basic graphing including ordered pairs and the coordinate plane.
• Unit 12 – Beginning Algebra In this unit students learn to compare, order, add, subtract, multiply, and divide rational numbers. They also study expressions and equations, order of operations with and without variables, and the meaning of algebraic symbols. Students also discuss one and twostep equations, decimals and fractions, formulas, literal equations, patterns, functions, graphing straight lines, and basic inequalities.
PreAlgebra SEd*
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• COURSE OVERVIEW: PreAlgebraSE was developed to provide special education students with an introduction to algebraic concepts, including the basic principles, rules, and operations of working with expressions containing variables. It also provides a strong foundation in basic mathematical concepts to prepare them for AlgebraSE. PreAlgebraSE is based on NCTM standards. Course topics include: Whole Number Operations, Order of Operations, Fractions/Decimals/Percentages, Basic Probabilities and Statistics, Basic Geometry, Integer Operations, Basic Graphing, Basic One and TwoStep Equations
• Unit 1 – Introduction and Basic Foundation This unit covers addition, subtraction, multiplication, and division of whole numbers, prime and composite numbers, greatest common factors, prime factorization, place value, estimating, order of operations, powers of ten, and formulas and variables.
• Unit 2 – Fractions This unit discusses ratios, rates, proportions, improper and mixed fractions, simplifying fractions, least common multiples, adding, subtracting, multiplying, and dividing fractions and mixed numbers.
• Unit 3 – Decimals, Fractions, and Percents This unit covers adding, subtracting, and multiplying decimals, as well as dividing decimals by whole numbers, comparing and ordering decimals, forms and types of percent, and simple interest.
• Unit 4 – Probability and Statistics This unit covers basic probability, mean, median, mode, range, frequency tables, bar graphs and brokenline graphs.
• Unit 5 – Geometry Basics This unit discusses geometry symbols, planes, points, lines, and angles. It also covers triangles, quadrilaterals, and other polygons, with particular emphasis on triangles.
• Unit 6 – More Geometry This unit discusses length and perimeter, area in twodimensional shapes, and volume in threedimensional figures. Also covered are square roots, the Pythagorean Theorem, and circles.
• Unit 7 – PreAlgebra This unit covers comparing and ordering, adding, subtracting, multiplying and dividing integers, absolute value, and order of operations. Also covered are the properties of mathematics, and basic graphing including ordered pairs and the coordinate plane.
• Unit 8 – Beginning Algebra This unit covers comparing, ordering, adding, subtracting, multiplying, and dividing rational numbers, as well as expressions and equations, order of operations with and without variables, and the meaning of algebraic symbols. Also discussed are one and twostep equations, decimals and fractions, formulas, and literal equations.
Integrated Mathematics I
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• COURSE OVERVIEW: Integrated Mathematics I, is the first course of a threepart series that includes algebra, geometry, probability, and statistics. This high school math pathway is patterned after an approach typically seen internationally. Integrated Mathematics I is AG Approved through the University of California.
• Unit 1 This introductory unit of this course introduces variables and expressions, order of operations, real numbers, properties, adding & subtracting, and multiplying & dividing. This unit also includes the distributive property, introduction to equations, and two variable equations.
• Unit 2 This unit discusses one step equations, two step equations, multistep equations, variables on both sides, literal equations, ratios and rates, conversions, similar figures, as well as percents, and percent change.
• Unit 3 Within this unit students will learn about inequalities, addition & subtraction with inequalities, multiplication & division with inequalities, multistep inequalities, sets, and interval notation. Students will also learn about compound inequalities, absolute value equations, and absolute value inequalities.
• Unit 4 In this unit, students learn about two variable graphs, patterns, nonlinear graphs, graphing a function, writing a rule, and relations & functions. The unit also introduces the composition of functions and arithmetic sequences.
• Unit 5 This unit guides students through rate of change, direct variation, slopeintercept, pointslope, standard form, parallel & perpendicular, as well as scatter plots & trend lines, and absolute value functions.
• Unit 6 Students will gain the knowledge of solving systems by graphing, substitution, elimination, and applications of systems. Students will also be introduced to linear inequalities and systems of inequalities.
• Unit 7 This unit discusses zero & negative exponents, multiplying powers, more multiplication properties, division properties, rational exponents, exponential functions , as well as exponential growth & decay, geometric sequences, and mathematical modeling.
• Unit 8 Students begin this unit by learning about frequency & histograms, statistical measures, as well as the usefulness and importance of box and whisker plots and twoway tables.
• Unit 9 In this unit students will learn nets and perspective drawings, points, lines, and planes, measuring segments, measuring angles, angle pairs, and basic constructions. This unit also introduces coordinate planes and perimeter, circumference, and area.
• Unit 10 Within this unit students gain knowledge concerning transversals, parallel lines, proving parallel lines, and parallel and perpendicular lines. Students also be introduces to angle and theorem, more constructions, equations of lines, and slopes of parallel and perpendicular lines.
• Unit 11 This unit discusses translations, reflections, rotations, compositions, congruence transformations, as well as dilations, and similarity transformations.
• Unit 12 In the concluding unit of this course, students will learn about areas of parallelograms and triangles, areas of trapezoids, rhombuses, and kites, areas of regular polygons, circles and arcs, and lastly the length of arcs.
Integrated Mathematics II
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• COURSE OVERVIEW: Integrated Mathematics II is the second course of a threepart series that includes algebra, geometry, probability, and statistics. This high school math pathway is patterned after an approach typically seen internationally. Integrated Mathematics II is AG Approved through the University of California.
• Unit 1 The introductory unit of this course provides are review of the crucial concepts of real numbers, properties, adding and subtracting, multiplying and dividing, and algebraic expressions.
• Unit 2 This unit discusses the definition of a function, direct variation, slopeintercept, pointslope, piecewise defined functions, and linear models. This unit also discusses transformations of functions, absolute value functions, including how to solve them graphically, by substitution, and elimination.
• Unit 3 Within this unit students will learn about zero and negative exponents, multiplying powers, more multiplication properties, division properties, and rational exponents. Students will also learn about exponential functions, exponential growth and decay, and geometric sequences.
• Unit 4 In this unit, students will learn about adding and subtracting polynomials, multiplying and factoring, multiplying binomials, special products, and how to factor a trinomial. Students will additionally learn about factoring by grouping, and special cases that may be encountered.
• Unit 5 This unit guides students through quadratic graphs, quadratic functions, quadratic equations, how to solve by factoring, and completing the square. The unit will also go through the quadratic formula, complex numbers, and systems of linear and quadratic equations.
• Unit 6 This unit discusses polynomial functions, the fundamental theorem of algebra, math modeling, graphing square root functions, and inverse functions.
Unit 7 Students will gain the knowledge of experimental versus theoretical probability in this unit. Additionally, the concepts of probability distributions, permutations, combinations, and compound probabilities. Students will also gain the knowledge of probability models, conditional probability, and expected value.
• Unit 8 Students begin this unit by learning about measuring segments, the coordinate plane, inductive reasoning, conditional statements, and biconditionals, as well as deductive reasoning, and proofs.
• Unit 9 In this unit students will learn transversals, parallel lines, proving lines parallel, and the concepts of parallel and perpendicular. Additionally, this unit will introduce students to the angle sum theorem.
• Unit 10 Within this unit students gain knowledge on congruent figures, the concepts of SSS and SAS, ASA and SAA, corresponding parts, and isosceles and equilateral triangles. Students will also gain knowledge of right triangles, and overlapping triangles.
• Unit 11 This unit discusses midsegments, bisectors, the center of triangles, and indirect proof. Additionally, students will learn about inequalities in a triangle, and inequalities in two triangles.
• Unit 12 In this unit, students learn about polygon angle sums, parallelograms, proving a parallelogram, rhombuses, rectangles, and squares, and proving special parallelograms. Students will additionally learn about trapezoids and kites, polygons and coordinates, and using coordinates in proofs.
• Unit 13 This unit discusses ratios and proportions, similar polygons, and proving triangles are similar. Also covered in this unit are the concepts of similarity in right triangles, and proportions in similar triangles.
• Unit 14 In this unit students will learn about pythagorean theorem, special right triangles, and trigonometry. Additionally, the concepts of angles of elevation and depression, and pythagorean identity are introduced.
• Unit 15 This unit discusses areas of parallelograms and triangles, areas of trapezoids, rhombuses, and kites, as well as areas of regular polygons, and perimeters and areas of similar figures. Additionally, this unit discusses circles and arcs, length of arcs, areas of circles and sectors, and area addition and subtraction.
• Unit 16 In this unit, students will gain knowledge pertaining to polyhedra, volumes of prisms and cylinders, volumes of pyramids, volumes of cones, and surface areas and volumes of spheres.
• Unit 17 Within this unit students will learn about tangent lines, chords and arcs, and inscribed angles, as well as angle measures and segment lengths, and circles in the coordinate plane.
• Unit 18 In the concluding unit of this course, students will learn about parabolas, and completing the square, as well as the concepts of distance, midpoint, and circles.
Integrated Mathematics III
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• COURSE OVERVIEW: Integrated Mathematics III is the last course of a threepart series that includes algebra, geometry, probability, and statistics. This high school math pathway is patterned after an approach typically seen internationally. Integrated Mathematics III is AG Approved through the University of California.
• Unit 1 In this introductory unit, students will be introduced to sets of numbers, simplifying and evaluating, and solving equations. They will also learn about solving inequalities and absolute value.
• Unit 2 In this unit students will delve into the definition of a function, direct variation, slopeintercept, pointslope, piecewise defined functions, linear models, and transformations of functions. Students will also study absolute value functions and inequalities in two variables.
• Unit 3 In this unit students will learn to solve graphically, use substitution, elimination, systems of inequalities, and linear programming. They will also learn systems in three variables, and matrices.
• Unit 4 In this unit students will learn to include using transformations. They will also study standard form, quadratic regression, factoring, quadratic equations, completing the square, and the quadratic formula. Students will also learn how to use quadratic inequalities, complex numbers, and representing operations of complex numbers.
• Unit 5 In this unit students will be introduced to polynomial functions, factored form, polynomial equations, dividing polynomials, synthetic division, and finding roots. Students will also study the fundamental theorem of algebra, graphing polynomial functions, the binomial theorem, and regression.
• Unit 6 In this unit students will explore properties of exponents, rational exponents, adding radicals, and solving radical equations. Additionally students will learn about the composition of functions, inverse functions, and graphing radical functions.
• Unit 7 Students begin this unit by learning how to use exponential functions, logarithmic functions, and properties of logarithms. Additionally, students will learn how to solve exponential and logarithmic equations, and how to find compound interest.
• Unit 8 In this unit students will study inverse variation, reciprocal functions, graphs of rational functions, multiplication and division of rational expressions, and adding and subtracting rational expressions. They will learn about solving rational equations, solving rational inequalities, and number theory.
• Unit 9 Within this unit students will learn about explicit versus recursive definitions, arithmetic sequences, and geometric sequences. They will also explore arithmetic series and geometric series.
• Unit 10 In this unit students will learn about permutations and combinations, probability, theoretical and experimental probability, multiple events, conditional probability, probability models, and analyzing data. Students will also learn about standard deviation, how to use samples and surveys, binomial distributions, normal distributions, probability distribution functions, and expected value.
• Unit 11 In this unit students will gain knowledge of the unit circle, radian measure, the sine function, the cosine function, and the tangent function. Students will also gain understanding of translating trigonometric functions, and reciprocal trigonometric functions.
• Unit 12 In this unit students will study basic identities, solving trig equations, inverse trig functions, and right triangles. They will explore the law of sines and the law of cosines.
• Unit 13 In this unit students will learn about areas of parallelograms, triangles, trapezoids, rhombuses, and kites. Students will also learn about areas of regular polygons, and perimeters and areas of similar figures, as well as trigonometry and area.
• Unit 14 In this concluding unit students will learn about polyhedra. They will study surface area and volume of prisms, cylinders, pyramids, and cones. Students will conclude with learning about surface areas and volumes of spheres, and areas and volumes of similar solids.
High School Math I SEd
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• COURSE OVERVIEW: High School Math ISE provides Special Ed students with a basic mathematical foundation. Among the many concepts covered in this course include practice with addition and subtraction and understanding place value. Students learn how to round and are introduced to multiplication, division, and fractions.
High School Math II SEd
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• COURSE OVERVIEW: High School Math IISE provides Special Ed students with a basic mathematical foundation. Developing multiplication and division skills is a major focus in this course. Among the other topics covered in this course include fractions and an introduction to decimals.
High School Math III SEd
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• COURSE OVERVIEW: High School Math IIISE provides Special Ed students with a basic mathematical foundation. Among the many concepts covered in this course include practice with addition and subtraction and understanding place value. Students learn how to round and are introduced to multiplication, division, and fractions.
High School Math IV SEd
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• COURSE OVERVIEW: High School Math IVSE provides Special Ed students with a basic foundation in math. Some of the major focus areas of this course include integers, decimals, and fractions. This course focuses on the concepts most important for these students, digging in deeper than the regular course to provide the additional instruction needed.
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