Harbor Creek School District

Size: px
Start display at page:

Download "Harbor Creek School District"

Transcription

1 Unit 1 Days 1-9 Evaluate one-sided two-sided limits, given the graph of a function. Limits, Evaluate limits using tables calculators. Continuity Evaluate limits using direct substitution. Differentiability Apply limit properties to evaluate limits. Evaluate limits analytically/algebraically when direct substitution yields 0/0 form. Methods include multiplication/simplification, factoring/reducing, finding LCD simplifying complex fraction, multiplying numerator denominator by conjugate. EK 1.1 A1 EK 1.1 A2 EK 1.1 A3 EK 1.1 B1 EK 1.1 C1 EK 1.1 C2 EK 1.1 C3 EK 1.1 D1 EK 1.2 A1 EK 1.2 A2 EK 1.2 A3 EK 1.2 B1 EK 1.1 D1 Evaluate limits involving difference quotients. Evaluate limits of piecewise-defined functions or absolute value functions. Evaluate the limit of a rational function involving algebraic expressions (including radicals) as x approaches positive or negative infinity. Find equations of vertical horizontal asymptotes of a rational function. Evaluate limits involving one of the seven indeterminate forms by rewriting the problem into a form for which L'Hopital's Rule can be applied. Identify values of x for which a function is discontinuous, given a graph or a functional expression. Name intervals on which a function is continuous, given a graph or a functional expression. Determine whether a piecewise-defined function is continuous everywhere or where it has discontinuities. Classify discontinuities as removable or non-removable. Classify discontinuities as point, jump, infinite or oscillating. Determine the value of a constant which makes a piecewise-defined function continuous everywhere. Identify values of x for which a function is non-differentiable, given a graph or a functional expression. Name intervals on which a function is differentiable, given a graph or a functional expression. Recognize that if a function is differentiable, then it is also continuous, but that the converse of this statement is not necessarily true. Solve problems by applying the Intermediate Value Theorem. Page 1

2 Unit 2 Days Write the limit definition of the derivative using h or delta-x. EK 2.1 A1 Find the derivative of a function using basic differentiation rules. EK 2.1 A2 Evaluate the derivative of a function at a point. EK 2.1 A3 Write the equation of a tangent line to a function at a point, expressing answers in EK 2.1 A4 point-slope, slope-intercept general forms. EK 2.1 A5 Use features of the graphics calculator to evaluate the derivative of a function at a EK 2.1 C1 point. EK 2.2 B2 Find points where a function has a horizontal tangent line. EK 2.3 B1 EK 2.1 A4 Determine the value of constants which makes a piecewise-defined function continuous everywhere. EK 2.1 C2 EK 2.1 C3 Find the average rate of change or average velocity of a function. EK 2.1 D1 Find the instantaneous rate of change or instantaneous velocity of a function. EK 2.1 D2 Solve problems involving position, velocity acceleration using derivatives. EK 2.3 A1 Find the derivative of a function using the product or quotient rule. EK 2.3 A2 Solve problems involving equation of a tangent line, horizontal tangent line or EK 2.3 C1 value of the derivative at a point using the product or quotient rule. EK 2.3 D1 Determine the most efficient method of calculating the derivative: rewriting EK 1.1 C3 simplifying or using the product or quotient rule. EK 2.1 B1 In AP Exam-type questions, recognize that the product or quotient rule is the concept needed to solve a problem involving a graph or table of information then correctly apply the rule to solve the problem. EK 2.1 A2 EK 2.1 C3 EK 2.1 D1 Use the quotient rule to derive formulas for tan, cot, sec csc. EK 2.1 D2 Use L'Hopital's Rule to evaluate limits, applying the product rule when needed. EK 1.1 C3 Evaluate higher order derivatives. EK 2.1 C3 Find the derivative of a function using the Chain Rule. EK 2.1 C4 Find the derivative of a function using the General (Extended) Power Rule. Find the derivative of a function by applying more than one derivative rule. Find the derivative of expressions involving the natural logarithm function. Find the derivative of expressions involving the natural exponential function. Find the derivative of expressions involving log or exponential functions with a base other than "e". Page 2

3 Unit 2 Days Find the derivative of expressions involving inverse trigonometric functions. EK 2.1 C2 Given a set of mixed problems, decide which differentiation rule(s) applies then find the derivative of the expression. EK 2.1 C3 EK 2.1 C4 Find the derivative of an expression using implicit differentiation. EK 2.1 C6 Solve problems involving related rates. These include problems with circles, EK 2.1 C5 spheres, rectangles, cubes, triangles, cones, cylinders, similar triangles, trig EK 2.1 D2 functions graphs. EK 2.3 C2 Identify absolute local (relative) extrema (maxima/minima) on a graph. EK 1.2 B1 Identify critical numbers on a graph. EK 2.2 A1 EK 2.4 A1 Determine critical numbers of a function using the derivative. EK 2.1 A5 Determine extrema on a closed interval by checking endpoints using the EK 2.1 B1 derivative of the function. EK 2.3 D1 Apply the Extreme Value Theorem to solve problems. EK 2.2 A1 Apply Rolle's Theorem to solve problems. EK 2.2 A2 Apply the Mean-Value Theorem to solve problems. EK 2.2 A3 Interpret the meaning of the derivative in the context of an application problem. Estimate the value of the derivative at a point using information in tables or graphs. Sketch the graph of a basic function, using algebra rules for translation, transformation reflection. Use the First Derivative Test to locate intervals where a function increases or decreases to locate relative extrema, then sketch a graph of the function. Use the graph of the derivative of a function to determine where the original function increases or decreases has relative extrema. Use the Second Derivative its number line test to determine intervals where a function is concave up or concave down where it has inflection points, then sketch a graph of the function. Sketch a graph of a polynomial or rational function using skills from calculus algebra. Evaluate infinite limits involving radical or exponential functions. Solve AP Exam-type questions involving analysis of graphs of the function or of the graph of its first or second derivative. Page 3

4 Unit 2 Days Solve optimization problems, including cylinder or cone inscribed in a sphere, Norman windows, distance from a point to a curve, volume girth of a box, distance/rate/time. EK 2.3 C3 EK 2.3 C3 EK 2.3 B2 Find the differential of a function. Compare the values of delta-y "dy" for a function. Estimate the value of a function using the equation of a tangent line (local linearization). Use differentials to solve problems involving propagated error, relative error percent error. Solve basic business economics applications using derivatives differentials. These include problems with marginal cost, profit, or revenue maximizing profit or revenue, minimizing total or average cost per unit. Unit 3 Days Find the antiderivative evaluate indefinite integrals using the power rule, constant multiple rule, sum difference rule rules for trig functions. EK 3.1 A1 EK 3.1 A2 Find the general solution of basic differential equations using antiderivatives. EK 3.2 A1 Find the particular solution, given initial condition(s) of basic differential EK 3.2 A2 equations using antiderivatives. EK 2.3 A3 Solve physics problems involving an object in free-fall using basic differential EK 3.2 B1 equations. EK 3.2 B2 Approximate area under a curve on a closed interval using numerical integration EK 3.3 B3 techniques Riemann sums (left, right, midpoint) trapezoidal sums. EK 3.3 B4 Evaluate a definite integral using the limit of a Riemann sum. EK 3.4 A3 EK 3.4 C1 Find the antiderivative evaluate indefinite integrals using the power rule, constant multiple rule, sum difference rule rules for trig functions. EK 3.5 A1 Find the general solution or particular solution, given initial condition(s), of basic differential equations using antiderivatives. Solve physics problems involving an object in free-fall using basic differential equations. Approximate area under a curve on a closed interval using numerical integration techniques Riemann sums (left, right, midpoint) trapezoidal sums. Evaluate a definite integral using the limit of a Riemann sum. Page 4

5 Unit 3 Days Write a definite integral to represent the area under a curve above the x-axis on a closed interval. EK 3.2 C1 EK 3.2 C2 Find the area under a curve above the x-axis on a closed interval using an appropriate geometry formula /or by evaluating a definite integral. EK 3.2 C3 EK 3.3 B2 Use properties of the definite integral to solve problems. EK 3.4 B1 State the First Fundamental Theorem of Calculus apply it to evaluate a EK 4.3 D1 definite integral. EK 3.3 B5 Make a sketch of a region bounded by 2 or more graphs, set up a definite integral EK 3.4 D2 to find the area of the region find the area by evaluating the definite integral. Evaluate integrals involving absolute values. Find the average value of a function on a closed interval the value(s) of x where the function equals its average value. Find the area between 2 curves using integration, without with use of graphics calculator capabilities. Evaluate indefinite integrals using u-substitution. Evaluate definite integrals by changing limits of integration while using u- substitution. Evaluate integrals (indefinite definite) involving natural log forms. Evaluate integrals (indefinite definite) involving natural exponential functions. Evaluate integrals (indefinite definite) involving inverse trigonometric forms. Evaluate integrals (indefinite definite) using algebraic manipulation techniques such as long division completing the square. Evaluate integrals (indefinite definite) involving natural exponential functions with bases other than "e". Find the volume generated when a curve or the region between 2 or more curves is revolved around the x-axis, the y-axis, or other horizontal vertical lines using the disk, washer or shell methods. Set up integral(s) to find volume of revolution. Evaluate these integrals manually or using graphics calculator capabilities. Set up integral(s) evaluate integral(s) to find volume of a solid with known cross-section perpendicular to the x-axis or y-axis. Page 5

6 Unit 3 Days Solve problems by applying the 2 nd Fundamental Theorem of Calculus. EK 1.2 A2 Interpret the meaning of an integral as an accumulator function within the context of an application problem. EK 2.1 A3 EK 2.1 C6 Solve problems involving the Net Change Theorem. EK 3.3 A1 Solve problems involving displacement or total distance traveled using EK 3.3 A2 integration. EK 3.3 A3 Solve AP Exam-type problems involving the definition of the derivative. EK 3.3 B1 Solve AP Exam-type problems involving the derivative of an inverse function. EK 3.3 B2 EK 3.4 A1 Find general particular solutions to differential equations using separation of variables. EK 3.4 A2 EK 3.4 C1 Solve differential equation problems involving growth decay. EK 3.4 E1 Solve AP Exam-type problems involving slope fields differential equations. EK 2.3 E1 Verify that a particular function is a solution of a differential equation. EK 2.3 E2 Solve differential equation problems using Euler's Method. EK 2.3 F1 EK 3.5 A1 EK 3.5 A2 EK 3.5 A3 EK 3.5 A4 EK 3.5 B1 EK 2.3 F2 Unit 4 Arc Length Surface Area of Revolution Days Find the length of a curve (arc length) over a closed interval of a function given in rectangular form. Find the surface area of revolution of a curve (arc length) about the x-axis or y- axis over a closed interval of a function given in rectangular form. EK 3.4 D3 Page 6

7 Unit 5 Advanced Days Decide which integration technique is required to evaluate a given integral. Methods include simplifying using basic integration rules, u-substitution, use of trigonometric identities to rewrite first, long division, completing the square, using an inverse trig form, using a Pythagorean conjugate. EK 3.3 B5 Evaluate integrals using integration by parts. Days Evaluate trigonometric integrals by using u-substitution, integration by parts, rewriting using trig or power-reducing identities. Evaluate integrals using trigonometric substitution. Days Evaluate integrals using partial fractions. Denominators may include linear factors, repeated linear factors, irreducible quadratic factors /or repeated irreducible quadratic factors. Synthetic division long division may need to be applied to simplify factor. Evaluate integrals using a table of integrals. Days Evaluate improper integrals. Integrals may contain endpoint discontinuities, interior discontinuities, /or infinite lower or upper limit of integration. Determine whether an improper integral converges or diverges. Days Review Test on Unit 5 EK 3.3 B5 EK 3.3 B5 EK 3.2 D1 EK 3.2 D2 EK 3.3 B5 EK 3.2 D1 EK 3.2 D2 EK 4.1 A1 EK 4.1 A2 EK 4.1 A3 EK 4.1 A6 EK 4.1 B1 Unit 6 Days Write an expression for the nth term of a sequence. Sequences Simplify expressions involving factorial notation. Series Determine whether an infinite sequence converges or diverges. Apply special sequence limit theorems. Derive a formula for continuously compounded interest. Determine whether a sequence is monotonic /or bounded. Explain the difference between a sequence a series. Use a sequence of partial sums to determine if a series converges or diverges. Solve problems involving finite geometric series, including annuity problems. Determine the sum of a telescoping series. Identify an infinite geometric series determine whether it converges or diverges. If it converges, find its sum. Use the nth-term Test for Divergence to show that a series diverges. Page 7

8 Unit 6 Sequences Series Days Determine whether a series converges or diverges using the Integral Test, the p- series Test, the Direct Comparison Test, the Limit Comparison Test, the Ratio Test or the Root Test. Days Determine whether an alternating series converges or diverges using the Alternating Series Test. Determine whether an alternating series converges conditionally or absolutely or if it diverges. Select apply one of the 10 tests for series convergence/divergence. Use Taylor's Formula to write an nth-degree Taylor or Maclaurin polynomial for a given function at a specified center. Use an nth-degree Taylor or Maclaurin polynomial to approximate a functional value. Write a power series for a function using Taylor's formula. Determine the radius of convergence of a power series using the Ratio Test. Determine the interval of convergence of a power series, checking convergence at interval endpoints separately, using the Ratio Test. Find the derivative of a power series. Find the integral of a power series. Find a geometric power series for a rational function. Use long division to determine a power series. Determine a power series for a function using derivatives integrals of known functions. Determine a Taylor or Maclaurin series for a function using substitution, multiplication or division with known power series for sine, cosine, natural log natural exponential functions. Use the Alternating Series Remainder Theorem to determine the maximum error bound when using an nth-degree Taylor or Maclaurin polynomial to approximate a value. Use the Lagrange Remainder Theorem to determine the maximum error bound when using an nth-degree Taylor or Maclaurin polynomial to approximate a value. EK 4.1 A3 EK 4.1 A4 EK 4.1 A5 EK 4.1 A6 EK 4.1 B2 EK 4.1 B3 EK 4.2 A1 EK 4.2 A2 EK 4.2 A3 EK 4.2 A4 EK 4.2 A5 EK 4.2 B1 EK 4.2 B2 EK 4.2 B3 EK 4.2 B4 EK 4.2 B5 EK 4.2 C1 EK 4.2 C2 EK 4.2 C3 EK 4.2 C4 Approximate the value of a definite integral using power series. Page 8

9 Unit 7 Calculus with Days Sketch the graph of a function (manually by using graphics calculators) defined by parametric equations, identifying domain range. EK 2.1 C7 EK 3.4 D3 Parametric Convert parametric equations into rectangular form by eliminating the parameter. Equations, Find the parametric form of the first derivative use to find the slope of the Polar curve at a specific value of the parameter or specific point. Coordinates, Find the equation of tangent line(s) at a point on a curve defined by parametric Vectors, equations. Logistics Find the 2 nd derivative in parametric form use to determine the concavity of Equations the curve. Find points where a curve defined by parametric equations has horizontal or vertical tangent lines. Use information obtained by 1 st 2 nd derivatives to sketch the graph of a curve defined by parametric equations. Find the arc length of a curve defined by parametric equations over a given interval of parameter values. Days 125- Convert coordinates equations between rectangular polar forms. EK 2.1 C7 134 Sketch the graph of a function (manually by using graphics calculators) defined by a polar equation, identifying domain range. EK 2.2 A4 EK 3.4 D1 Find the polar form of the first derivative use to find the slope of the curve at a specific value of the angle or specific point. EK 3.4 D3 Find the equation of tangent line(s) at a point on a curve defined by a polar equation. Find points where a curve defined by a polar equation has horizontal or vertical tangent lines or tangent lines at the pole. Find relative extrema of "r". Use information obtained by 1 st derivative to sketch the graph of a curve defined by a polar equation. Find the arc length of a curve defined by a polar equation over a given interval of angle values. Find points of intersection of polar graphs. Find the area of a polar region bounded by a single curve. Find the area of a polar region between two curves. Page 9

10 Unit 7 Calculus with Days Find the component form linear combination form of a vector, given its magnitude direction angle. EK 2.1 C7 EK 2.3 C4 Parametric Equations, Find the magnitude direction angle of a vector, given its components or linear combination form. EK 3.4 C2 EK 3.4 D3 Polar Solve problems, including physics application problems, using basic vector EK 3.5 A1 Coordinates, operations (addition, scalar multiplication). EK 3.5 B2 Vectors, Find the limit of a vector-valued function. Logistics Find the derivative of a vector-valued functions. Equations Find the indefinite integral of a vector-valued function. Find the definite integral of a vector valued function, given initial condition(s). Find the velocity acceleration vectors, given a position vector. Find a specific velocity acceleration vector, given a position vector, at a specific point or value of the parameter. Find the acceleration vector, given the velocity vector. Find the velocity or speed of a particle moving along a curve defined by parametric or vector-valued functions. Use integration the Net Change Theorem to determine the position (at a specific time) of a particle moving along a curve defined by parametric or vectorvalued functions. Days Use integration to find the displacement or total distance traveled over a given interval for a particle moving along a curve defined by parametric or vectorvalued functions. Identify a differential equation that models logistic growth. Given a logistic differential equation, identify the carrying capacity, the limit of the function as time approaches infinity, the point at which the maximum rate of change of the function occurs. Identify characteristics of the graph of a logistics equation. Review for AP Calculus BC Exam. Exam is given on Day 165 (approx.) All stards from the course thus far. Page 10

11 Unit 8 Days 166- Evaluate a function of two or more variables for a given set of values. Beyond AP Introduction to Calculus Find the first partial derivative with respect to any variable for a function of two or more variables. Calculus Stards Find higher order partial derivatives with respect to any variable for a function of two or more variables. Use right-to-left left-to-right notation when working with partial derivatives. Find the total differential of a function of two or more variables. Use the total differential to find propagated, relative percent error in experiment calculations. Evaluate double integrals. Evaluate triple integrals. Unit 9 Days 170- Find the order of a matrix. Beyond AP Introduction to Linear Algebra 175 Perform basic matrix operations (addition, subtraction, scalar multiplication, matrix multiplication). Calculus Stards Evaluate a 2 x 2 determinant. Find the minor of any entry in a matrix. Evaluate a 3 x 3 determinant using the diagonals method or expansion by minors along any row or column. Evaluate a 4 x 4 determinant using expansion by minors. Solve a 2 x 2 or 3 x 3 system of equations using Cramer's Rule. Solve a 2 x 2 or 3 x 3 system of equations using Gaussian elimination or Gauss- Jordan elimination. Find the inverse of a matrix by simultaneously using elementary row operations on a given matrix the identity matrix of the same order. Solve systems of equations using inverse matrices. Unit 10 More If time Find the distance between the midpoint of two points in space. Beyond AP on Vectors permits Solve problems involving general stard equations of a sphere. Calculus Find the dot product of two vectors. Stards Find the cross product of two vectors. Use the dot product to find the angle between two vectors. Use the dot product to determine if two vectors are orthogonal. Solve application problems using the dot product or cross product. Page 11

AP Calculus BC Scope & Sequence

AP Calculus BC Scope & Sequence AP Calculus BC Scope & Sequence Grading Period Unit Title Learning Targets Throughout the School Year First Grading Period *Apply mathematics to problems in everyday life *Use a problem-solving model that

More information

MATHEMATICS AP Calculus (BC) Standard: Number, Number Sense and Operations

MATHEMATICS AP Calculus (BC) Standard: Number, Number Sense and Operations Standard: Number, Number Sense and Operations Computation and A. Develop an understanding of limits and continuity. 1. Recognize the types of nonexistence of limits and why they Estimation are nonexistent.

More information

Business Calculus

Business Calculus Business Calculus 978-1-63545-025-5 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Senior Contributing Authors: Gilbert

More information

Single Variable Calculus, Early Transcendentals

Single Variable Calculus, Early Transcendentals Single Variable Calculus, Early Transcendentals 978-1-63545-100-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax

More information

B L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC

B L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC B L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC Weeks ORGANIZING THEME/TOPIC CONTENT CHAPTER REFERENCE FOCUS STANDARDS & SKILLS Analysis of graphs.

More information

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT A P C a l c u l u s ( B C ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS Limits and Continuity Derivatives

More information

Correlation with College Board Advanced Placement Course Descriptions

Correlation with College Board Advanced Placement Course Descriptions Correlation with College Board Advanced Placement Course Descriptions The following tables show which sections of Calculus: Concepts and Applications cover each of the topics listed in the 2004 2005 Course

More information

Saxon Calculus Scope and Sequence

Saxon Calculus Scope and Sequence hmhco.com Saxon Calculus Scope and Sequence Foundations Real Numbers Identify the subsets of the real numbers Identify the order properties of the real numbers Identify the properties of the real number

More information

AP Calculus BC Syllabus

AP Calculus BC Syllabus AP Calculus BC Syllabus Course Overview and Philosophy This course is designed to be the equivalent of a college-level course in single variable calculus. The primary textbook is Calculus, 7 th edition,

More information

AP Calculus BC. Course Description:

AP Calculus BC. Course Description: AP Calculus BC Course Description: The two fundamental problems of Calculus include: 1) finding the slope of the tangent to a curve, determined by the derivative, and 2) finding the area of a region under

More information

AP CALCULUS AB Study Guide for Midterm Exam 2017

AP CALCULUS AB Study Guide for Midterm Exam 2017 AP CALCULUS AB Study Guide for Midterm Exam 2017 CHAPTER 1: PRECALCULUS REVIEW 1.1 Real Numbers, Functions and Graphs - Write absolute value as a piece-wise function - Write and interpret open and closed

More information

Calculus I

Calculus I Calculus I 978-1-63545-038-5 To learn more about all our offerings Visit Knewton.com/highered Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Gilbert Strang, Massachusetts Institute

More information

AP Calculus BC Syllabus Course Overview

AP Calculus BC Syllabus Course Overview AP Calculus BC Syllabus Course Overview Textbook Anton, Bivens, and Davis. Calculus: Early Transcendentals, Combined version with Wiley PLUS. 9 th edition. Hoboken, NJ: John Wiley & Sons, Inc. 2009. Course

More information

Advanced Placement Calculus II- What Your Child Will Learn

Advanced Placement Calculus II- What Your Child Will Learn Advanced Placement Calculus II- What Your Child Will Learn Upon completion of AP Calculus II, students will be able to: I. Functions, Graphs, and Limits A. Analysis of graphs With the aid of technology,

More information

Topics Covered in Calculus BC

Topics Covered in Calculus BC Topics Covered in Calculus BC Calculus BC Correlation 5 A Functions, Graphs, and Limits 1. Analysis of graphs 2. Limits or functions (including one sides limits) a. An intuitive understanding of the limiting

More information

Calculus Honors Curriculum Guide Dunmore School District Dunmore, PA

Calculus Honors Curriculum Guide Dunmore School District Dunmore, PA Calculus Honors Dunmore School District Dunmore, PA Calculus Honors Prerequisite: Successful completion of Trigonometry/Pre-Calculus Honors Major topics include: limits, derivatives, integrals. Instruction

More information

West Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12

West Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12 West Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12 Unit 1: Limits and Continuity What is a limit? Definition of limit, continuous, Sandwich Theorem, Intermediate Value Theorem

More information

BC Calculus Syllabus. Assessment Students are assessed in the following ways:

BC Calculus Syllabus. Assessment Students are assessed in the following ways: BC Calculus Syllabus Assessment Students are assessed in the following ways: Unit tests Project Problem Sessions Weekly assignments done outside of class that consist of problems from released Quizzes

More information

Topic Outline AP CALCULUS AB:

Topic Outline AP CALCULUS AB: Topic Outline AP CALCULUS AB: Unit 1: Basic tools and introduction to the derivative A. Limits and properties of limits Importance and novelty of limits Traditional definitions of the limit Graphical and

More information

Calculus Early Transcendentals

Calculus Early Transcendentals Calculus Early Transcendentals 978-1-63545-101-6 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Gilbert Strang, Massachusetts

More information

CHAPTER 1 Prerequisites for Calculus 2. CHAPTER 2 Limits and Continuity 58

CHAPTER 1 Prerequisites for Calculus 2. CHAPTER 2 Limits and Continuity 58 CHAPTER 1 Prerequisites for Calculus 2 1.1 Lines 3 Increments Slope of a Line Parallel and Perpendicular Lines Equations of Lines Applications 1.2 Functions and Graphs 12 Functions Domains and Ranges Viewing

More information

Curriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015

Curriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015 Curriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015 Students who successfully complete this course will receive one credit AP Calculus AB and will take the AP Calculus AB Exam. 1. The

More information

AP Calculus BC. Functions, Graphs, and Limits

AP Calculus BC. Functions, Graphs, and Limits AP Calculus BC The Calculus courses are the Advanced Placement topical outlines and prepare students for a successful performance on both the Advanced Placement Calculus exam and their college calculus

More information

Pre-Calculus Chapter 0. Solving Equations and Inequalities 0.1 Solving Equations with Absolute Value 0.2 Solving Quadratic Equations

Pre-Calculus Chapter 0. Solving Equations and Inequalities 0.1 Solving Equations with Absolute Value 0.2 Solving Quadratic Equations Pre-Calculus Chapter 0. Solving Equations and Inequalities 0.1 Solving Equations with Absolute Value 0.1.1 Solve Simple Equations Involving Absolute Value 0.2 Solving Quadratic Equations 0.2.1 Use the

More information

I. AP Calculus AB Major Topic: Functions, Graphs, and Limits

I. AP Calculus AB Major Topic: Functions, Graphs, and Limits A.P. Calculus AB Course Description: AP Calculus AB is an extension of advanced mathematical concepts studied in Precalculus. Topics include continuity and limits, composite functions, and graphing. An

More information

AP Calculus BC. Course Overview. Course Outline and Pacing Guide

AP Calculus BC. Course Overview. Course Outline and Pacing Guide AP Calculus BC Course Overview AP Calculus BC is designed to follow the topic outline in the AP Calculus Course Description provided by the College Board. The primary objective of this course is to provide

More information

Topic Subtopics Essential Knowledge (EK)

Topic Subtopics Essential Knowledge (EK) Unit/ Unit 1 Limits [BEAN] 1.1 Limits Graphically Define a limit (y value a function approaches) One sided limits. Easy if it s continuous. Tricky if there s a discontinuity. EK 1.1A1: Given a function,

More information

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT A P C a l c u l u s ( A B ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS Limits and Continuity Derivatives

More information

Notes about changes to Approved Syllabus # 43080v2

Notes about changes to Approved Syllabus # 43080v2 Notes about changes to Approved Syllabus # 43080v2 1. An update to the syllabus was necessary because of a county wide adoption of new textbooks for AP Calculus. 2. No changes were made to the Course Outline

More information

AP Calculus BC Lesson Outlines Third Quarter: January 5 March 11, 2016

AP Calculus BC Lesson Outlines Third Quarter: January 5 March 11, 2016 Jan. 6 The Calculus of Integration CH 4.3 (Review from before the break) Riemann Sums, Definite Integrals CH 4.4 (Review from before the break) First Fundamental Theorem CH 4.4 Mean Value Theorem for Integrals

More information

Greenwich Public Schools Mathematics Curriculum Objectives. Calculus

Greenwich Public Schools Mathematics Curriculum Objectives. Calculus Mathematics Curriculum Objectives Calculus June 30, 2006 NUMERICAL AND PROPORTIONAL REASONING Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify

More information

PreCalculus. Curriculum (447 topics additional topics)

PreCalculus. Curriculum (447 topics additional topics) PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

AP Calculus Curriculum Guide Dunmore School District Dunmore, PA

AP Calculus Curriculum Guide Dunmore School District Dunmore, PA AP Calculus Dunmore School District Dunmore, PA AP Calculus Prerequisite: Successful completion of Trigonometry/Pre-Calculus Honors Advanced Placement Calculus is the highest level mathematics course offered

More information

Academic Content Standard MATHEMATICS. MA 51 Advanced Placement Calculus BC

Academic Content Standard MATHEMATICS. MA 51 Advanced Placement Calculus BC Academic Content Standard MATHEMATICS MA 51 Advanced Placement Calculus BC Course #: MA 51 Grade Level: High School Course Name: Advanced Placement Calculus BC Level of Difficulty: High Prerequisites:

More information

Advanced Placement Calculus Syllabus- BC

Advanced Placement Calculus Syllabus- BC Advanced Placement Calculus Syllabus- BC Prerequisites All students should have completed four years of secondary mathematics designed for accelerated students. These should consist of the accelerated

More information

9-12 Mathematics Vertical Alignment ( )

9-12 Mathematics Vertical Alignment ( ) Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing

More information

AP Calculus BC Syllabus

AP Calculus BC Syllabus AP Calculus BC Syllabus Course Overview AP Calculus BC is the study of the topics covered in college-level Calculus I and Calculus II. This course includes instruction and student assignments on all of

More information

Wellston City Schools Calculus Curriculum Calendar

Wellston City Schools Calculus Curriculum Calendar Wellston City Schools Calculus 2006-2007 Curriculum Calendar Grading Period 1:Week 1: Review 11 th grade standards Learn to represent functions using: *Words *Tables of values *Graphs *Formulas Present

More information

Standards for AP Calculus AB

Standards for AP Calculus AB I. Functions, Graphs and Limits Standards for AP Calculus AB A. Analysis of graphs. With the aid of technology, graphs of functions are often easy to produce. The emphasis is on the interplay between the

More information

Region 16 Board of Education AP Calculus Curriculum 2008

Region 16 Board of Education AP Calculus Curriculum 2008 Region 16 Board of Education AP Calculus Curriculum 2008 Course Description This course develops students understanding of the concepts of calculus and provides experience with its methods and applications.

More information

Prentice Hall. Calculus: Graphical, Numerical, Algebraic National Advanced Placement Course Descriptions for Calculus BC.

Prentice Hall. Calculus: Graphical, Numerical, Algebraic National Advanced Placement Course Descriptions for Calculus BC. Prentice Hall Grades 9-12 Calculus: Graphical, Numerical, Algebraic 2007 C O R R E L A T E D T O National Advanced Placement Course Descriptions for Calculus BC Grades 9-12 I Functions, Graphs, and Limits

More information

Radnor High School Course Syllabus Advanced Placement Calculus BC 0460

Radnor High School Course Syllabus Advanced Placement Calculus BC 0460 Radnor High School Modified April 24, 2012 Course Syllabus Advanced Placement Calculus BC 0460 Credits: 1 Grades: 11, 12 Weighted: Yes Prerequisite: Recommended by Department Length: Year Format: Meets

More information

PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005

PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005 PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO Prepared by Kristina L. Gazdik March 2005 1 TABLE OF CONTENTS Course Description.3 Scope and Sequence 4 Content Outlines UNIT I: FUNCTIONS AND THEIR GRAPHS

More information

AP Calculus AB Syllabus

AP Calculus AB Syllabus AP Calculus AB Syllabus Course Overview and Philosophy This course is designed to be the equivalent of a college-level course in single variable calculus. The primary textbook is Calculus of a Single Variable,

More information

Mathematics Scope & Sequence Calculus AB

Mathematics Scope & Sequence Calculus AB Mathematics Scope & Sequence 2015-16 Calculus AB Revised: March 2015 First Six Weeks (29 ) Limits and Continuity Limits of (including onesided limits) An intuitive understanding of the limiting process

More information

Index. Excerpt from "Calculus" 2013 AoPS Inc. Copyrighted Material INDEX

Index. Excerpt from Calculus 2013 AoPS Inc.  Copyrighted Material INDEX Index #, 2 \, 5, 4 [, 4 - definition, 38 ;, 2 indeterminate form, 2 22, 24 indeterminate form, 22 23, see Euler s Constant 2, 2, see infinity, 33 \, 6, 3, 2 3-6-9 triangle, 2 4-dimensional sphere, 85 45-45-9

More information

MIDLAND ISD ADVANCED PLACEMENT CURRICULUM STANDARDS AP CALCULUS BC

MIDLAND ISD ADVANCED PLACEMENT CURRICULUM STANDARDS AP CALCULUS BC Curricular Requirement 1: The course teaches all topics associated with Functions, Graphs, and Limits; Derivatives; Integrals; and Polynomial Approximations and Series as delineated in the Calculus BC

More information

Upon completion of this course, the student should be able to satisfy the following objectives.

Upon completion of this course, the student should be able to satisfy the following objectives. Homework: Chapter 6: o 6.1. #1, 2, 5, 9, 11, 17, 19, 23, 27, 41. o 6.2: 1, 5, 9, 11, 15, 17, 49. o 6.3: 1, 5, 9, 15, 17, 21, 23. o 6.4: 1, 3, 7, 9. o 6.5: 5, 9, 13, 17. Chapter 7: o 7.2: 1, 5, 15, 17,

More information

Objectives List. Important Students should expect test questions that require a synthesis of these objectives.

Objectives List. Important Students should expect test questions that require a synthesis of these objectives. MATH 1040 - of One Variable, Part I Textbook 1: : Algebra and Trigonometry for ET. 4 th edition by Brent, Muller Textbook 2:. Early Transcendentals, 3 rd edition by Briggs, Cochran, Gillett, Schulz s List

More information

Algebra and Trigonometry

Algebra and Trigonometry Algebra and Trigonometry 978-1-63545-098-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Jay Abramson, Arizona State

More information

Course Syllabus BHS Room 309 (360)

Course Syllabus BHS Room 309 (360) AP Calculus Mrs. Stansbery Course Syllabus BHS Room 309 (360) 473-0875 sandra.stansbery@bremertonschools.org Classroom Expectations 1. Come to class on time and prepared to learn. Take care of locker visits,

More information

Quick Review Sheet for A.P. Calculus Exam

Quick Review Sheet for A.P. Calculus Exam Quick Review Sheet for A.P. Calculus Exam Name AP Calculus AB/BC Limits Date Period 1. Definition: 2. Steps in Evaluating Limits: - Substitute, Factor, and Simplify 3. Limits as x approaches infinity If

More information

*AP Calculus BC (#9550)

*AP Calculus BC (#9550) AASD MATHEMATICS CURRICULUM *AP Calculus BC (#9550) Description This course is an in-depth development and extension of the concepts of calculus that were introduced to the students in Introduction to

More information

Contents. CHAPTER P Prerequisites 1. CHAPTER 1 Functions and Graphs 69. P.1 Real Numbers 1. P.2 Cartesian Coordinate System 14

Contents. CHAPTER P Prerequisites 1. CHAPTER 1 Functions and Graphs 69. P.1 Real Numbers 1. P.2 Cartesian Coordinate System 14 CHAPTER P Prerequisites 1 P.1 Real Numbers 1 Representing Real Numbers ~ Order and Interval Notation ~ Basic Properties of Algebra ~ Integer Exponents ~ Scientific Notation P.2 Cartesian Coordinate System

More information

Fairfield Public Schools

Fairfield Public Schools Mathematics Fairfield Public Schools AP Calculus BC AP Calculus BC BOE Approved 04/08/2014 1 AP CALCULUS BC Critical Areas of Focus Advanced Placement Calculus BC consists of a full year of college calculus.

More information

Polynomials and Rational Functions. Quadratic Equations and Inequalities. Remainder and Factor Theorems. Rational Root Theorem

Polynomials and Rational Functions. Quadratic Equations and Inequalities. Remainder and Factor Theorems. Rational Root Theorem Pre-Calculus Pre-AP Scope and Sequence - Year at a Glance Pre-Calculus Pre-AP - First Semester Pre-calculus with Limits; Larson/Hostetler Three Weeks 1 st 3 weeks 2 nd 3 weeks 3 rd 3 weeks 4 th 3 weeks

More information

Check boxes of Edited Copy of Sp Topics (was 217-pilot)

Check boxes of Edited Copy of Sp Topics (was 217-pilot) Check boxes of Edited Copy of 10024 Sp 11 213 Topics (was 217-pilot) College Algebra, 9th Ed. [open all close all] R-Basic Algebra Operations Section R.1 Integers and rational numbers Rational and irrational

More information

Learning Objectives for Math 166

Learning Objectives for Math 166 Learning Objectives for Math 166 Chapter 6 Applications of Definite Integrals Section 6.1: Volumes Using Cross-Sections Draw and label both 2-dimensional perspectives and 3-dimensional sketches of the

More information

Honors Calculus Curriculum Maps

Honors Calculus Curriculum Maps Honors Calculus Curriculum Maps Unit of Study: Prerequisites for Calculus Unit of Study: Limits and Continuity Unit of Study: Differentiation Unit of Study: Applications of Derivatives Unit of Study: The

More information

Finite Mathematics and Calculus

Finite Mathematics and Calculus Finite Mathematics and Calculus 978-1-63545-027-9 To learn more about all our offerings Visit Knewton.com/highered Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Senior Contributing

More information

Due Date: Thursday, March 22, 2018

Due Date: Thursday, March 22, 2018 The Notebook Project AP Calculus AB This project is designed to improve study skills and organizational skills for a successful career in mathematics. You are to turn a composition notebook into a Go To

More information

CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT

CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT Course Number 5125 Department Mathematics Prerequisites Successful completion of Honors Pre-Calculus or Trigonometry

More information

Unit 1: Pre-Calculus Review (2 weeks) A. Lines 1. Slope as rate of change 2. Parallel and perpendicular lines 3. Equations of lines

Unit 1: Pre-Calculus Review (2 weeks) A. Lines 1. Slope as rate of change 2. Parallel and perpendicular lines 3. Equations of lines Calculus AB Syllabus AB Course Outline The following is an outline of the topics we will cover and a typical sequence in which those topics will be covered. The time spent is only an estimate of the average

More information

Trigonometry Self-study: Reading: Red Bostock and Chandler p , p , p

Trigonometry Self-study: Reading: Red Bostock and Chandler p , p , p Trigonometry Self-study: Reading: Red Bostock Chler p137-151, p157-234, p244-254 Trigonometric functions be familiar with the six trigonometric functions, i.e. sine, cosine, tangent, cosecant, secant,

More information

College Algebra To learn more about all our offerings Visit Knewton.com

College Algebra To learn more about all our offerings Visit Knewton.com College Algebra 978-1-63545-097-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Text Jay Abramson, Arizona State University

More information

Mathematics 6 12 Section 26

Mathematics 6 12 Section 26 Mathematics 6 12 Section 26 1 Knowledge of algebra 1. Identify graphs of linear inequalities on a number line. 2. Identify graphs of linear equations and inequalities in the coordinate plane. 3. Identify

More information

Math Review for AP Calculus

Math Review for AP Calculus Math Review for AP Calculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

More information

AP Calculus Overview

AP Calculus Overview AP Calculus Overview 2009-2010 Month Content Skills Assessment AUG.-SEPT. PreCalc Review - Reduce Rational Expressions - edhelper worksheet - Factor and solve Quadratic equations. - TM Algebra review Graph

More information

Cathedral Catholic High School Course Catalog

Cathedral Catholic High School Course Catalog Cathedral Catholic High School Course Catalog Course Title: Pre-Calculus Course Description: This course is designed to prepare students to begin their college studies in introductory Calculus. Students

More information

Advanced Placement Calculus I - What Your Child Will Learn

Advanced Placement Calculus I - What Your Child Will Learn Advanced Placement Calculus I - What Your Child Will Learn I. Functions, Graphs, and Limits A. Analysis of graphs With the aid of technology, graphs of functions are often easy to produce. The emphasis

More information

Pre-Calculus and Trigonometry Capacity Matrix

Pre-Calculus and Trigonometry Capacity Matrix Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational expressions Solve polynomial equations and equations involving rational expressions Review Chapter 1 and their

More information

Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10

Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10 Prep for Calculus This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281 topics + 125 additional topics) Real

More information

Mathematics. AP Calculus. New Jersey Quality Single Accountability Continuum (NJQSAC) Course Title. Department:

Mathematics. AP Calculus. New Jersey Quality Single Accountability Continuum (NJQSAC) Course Title. Department: Date: September 1-15 September 16-30 What skills should students possess entering? What are the properties of linear, quadratic, exponential, parametric, and logarithmic equations? What is the difference

More information

AP Calculus AB and AP. Calculus BC Exam. ApTutorGroup.com. ApTutorGroup.com SAMPLE QUESTIONS

AP Calculus AB and AP. Calculus BC Exam. ApTutorGroup.com. ApTutorGroup.com SAMPLE QUESTIONS SAMPLE QUESTIONS AP Calculus AB and AP Calculus BC Exam Originally published in the Fall 2014 AP Calculus AB and AP Calculus BC Curriculum Framework The College Board The College Board is a mission-driven

More information

College Algebra & Trig w Apps

College Algebra & Trig w Apps WTCS Repository 10-804-197 College Algebra & Trig w Apps Course Outcome Summary Course Information Description Total Credits 5.00 This course covers those skills needed for success in Calculus and many

More information

Varberg 8e-9e-ET Version Table of Contents Comparisons

Varberg 8e-9e-ET Version Table of Contents Comparisons Varberg 8e-9e-ET Version Table of Contents Comparisons 8th Edition 9th Edition Early Transcendentals 9 Ch Sec Title Ch Sec Title Ch Sec Title 1 PRELIMINARIES 0 PRELIMINARIES 0 PRELIMINARIES 1.1 The Real

More information

Syllabus for AP Calculus BC Fall 2015

Syllabus for AP Calculus BC Fall 2015 Syllabus for AP Calculus BC Fall 2015 Mr. Hadley michael.hadley@cobbk12.org Approach: I use a multirepresentational approach, The Rule of Five, to teach the concepts of calculus. I present topics graphically,

More information

PETERS TOWNSHIP HIGH SCHOOL

PETERS TOWNSHIP HIGH SCHOOL PETERS TOWNSHIP HIGH SCHOOL COURSE SYLLABUS: AP CALCULUS BC Course Overview and Essential Skills AP Calculus BC is a challenging class which will prepare students to take the AP Calculus BC Exam in May

More information

Check boxes of Edited Copy of Sp Topics (was 261-pilot)

Check boxes of Edited Copy of Sp Topics (was 261-pilot) Check boxes of Edited Copy of 10023 Sp 11 253 Topics (was 261-pilot) Intermediate Algebra (2011), 3rd Ed. [open all close all] R-Review of Basic Algebraic Concepts Section R.2 Ordering integers Plotting

More information

Curriculum Catalog

Curriculum Catalog 2017-2018 Curriculum Catalog - for use with AP courses 2017 Glynlyon, Inc. Table of Contents CALCULUS COURSE OVERVIEW... 1 UNIT 1: GRAPHS AND LIMITS... 1 UNIT 2: DERIVATIVES... 2 UNIT 3: RELATED RATES...

More information

DRAFT. Pre-calculus Curriculum Map Quarter 1 Chapters P 2. Extraneous Critical numbers Test intervals

DRAFT. Pre-calculus Curriculum Map Quarter 1 Chapters P 2. Extraneous Critical numbers Test intervals Quarter 1 Chapters P 2 Plot points in the coordinate plane and use distance and midpoint formulas. Sketch graphs of equations. Find and use slope of a line to write and graph linear equations. Solve equations:

More information

Advanced Placement Calculus AB. South Texas ISD. Scope and Sequence with Learning Objectives

Advanced Placement Calculus AB. South Texas ISD. Scope and Sequence with Learning Objectives Advanced Placement Calculus AB South Texas ISD Scope and Sequence with Learning Objectives Advanced Placement Calculus AB Scope and Sequence - Year at a Glance AP Calculus AB - First Semester Three Weeks

More information

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity SB Activity Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in

More information

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity

Algebra 2 Khan Academy Video Correlations By SpringBoard Activity SB Activity Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in

More information

MATHEMATICAL ANALYSIS CURRICULUM GUIDE

MATHEMATICAL ANALYSIS CURRICULUM GUIDE MATHEMATICAL ANALYSIS CURRICULUM GUIDE Loudoun County Public Schools 2010-2011 Complete scope, sequence, pacing and resources are available on the CD and will be available on the LCPS Intranet. INTRODUCTION

More information

Calculus BC

Calculus BC Brief Description of Course Calculus BC 2007-2008 This course covers the topics limits, continuity, differentiation, antidifferentiation, definite integrals, techniques of integration, series and sequences,

More information

AP Calculus BC Course Syllabus. Lyn Davies. Denver School of the Arts

AP Calculus BC Course Syllabus. Lyn Davies. Denver School of the Arts AP Calculus BC 2016-17 Course Syllabus Lyn Davies Denver School of the Arts This syllabus was developed according to scoring guidelines offered by the AP Course Audit rubric for AP Calculus AB with BC

More information

Math 4C Fall 2008 Final Exam Study Guide Format 12 questions, some multi-part. Questions will be similar to sample problems in this study guide,

Math 4C Fall 2008 Final Exam Study Guide Format 12 questions, some multi-part. Questions will be similar to sample problems in this study guide, Math 4C Fall 2008 Final Exam Study Guide Format 12 questions, some multi-part. Questions will be similar to sample problems in this study guide, homework problems, lecture examples or examples from the

More information

TABLE OF CONTENTS POLYNOMIAL EQUATIONS AND INEQUALITIES

TABLE OF CONTENTS POLYNOMIAL EQUATIONS AND INEQUALITIES COMPETENCY 1.0 ALGEBRA TABLE OF CONTENTS SKILL 1.1 1.1a. 1.1b. 1.1c. SKILL 1.2 1.2a. 1.2b. 1.2c. ALGEBRAIC STRUCTURES Know why the real and complex numbers are each a field, and that particular rings are

More information

Syllabus for BC Calculus

Syllabus for BC Calculus Syllabus for BC Calculus Course Overview My students enter BC Calculus form an Honors Precalculus course which is extremely rigorous and we have 90 minutes per day for 180 days, so our calculus course

More information

CALCULUS SEVENTH EDITION. Indiana Academic Standards for Calculus. correlated to the CC2

CALCULUS SEVENTH EDITION. Indiana Academic Standards for Calculus. correlated to the CC2 CALCULUS SEVENTH EDITION correlated to the Indiana Academic Standards for Calculus CC2 6/2003 2002 Introduction to Calculus, 7 th Edition 2002 by Roland E. Larson, Robert P. Hostetler, Bruce H. Edwards

More information

Prentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007

Prentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007 Prentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007 C O R R E L A T E D T O AP Calculus AB Standards I Functions, Graphs, and Limits Analysis of graphs. With the aid of

More information

AP Calculus B C Syllabus

AP Calculus B C Syllabus AP Calculus B C Syllabus Course Textbook Finney, Ross L., et al. Calculus: Graphical, Numerical, Algebraic. Boston: Addison Wesley, 1999. Additional Texts & Resources Best, George, Stephen Carter, and

More information

Calculus I Curriculum Guide Scranton School District Scranton, PA

Calculus I Curriculum Guide Scranton School District Scranton, PA Scranton School District Scranton, PA Prerequisites: Successful completion of Elementary Analysis or Honors Elementary Analysis is a high level mathematics course offered by the Scranton School District.

More information

Region 16 Board of Education. Precalculus Curriculum

Region 16 Board of Education. Precalculus Curriculum Region 16 Board of Education Precalculus Curriculum 2008 1 Course Description This course offers students an opportunity to explore a variety of concepts designed to prepare them to go on to study calculus.

More information

Calculus. reparation for Calculus, Limits and Their Properties, and Differentiation. Gorman Learning Center (052344) Basic Course Information

Calculus. reparation for Calculus, Limits and Their Properties, and Differentiation. Gorman Learning Center (052344) Basic Course Information Calculus Gorman Learning Center (052344) Basic Course Information Title: Calculus Transcript abbreviations: calcag / calc Length of course: Full Year Subject area: Mathematics ("c") / Calculus UC honors

More information

TEACHER CERTIFICATION EXAM 1.0 KNOWLEDGE OF ALGEBRA Identify graphs of linear inequalities on a number line...1

TEACHER CERTIFICATION EXAM 1.0 KNOWLEDGE OF ALGEBRA Identify graphs of linear inequalities on a number line...1 TABLE OF CONTENTS COMPETENCY/SKILL PG # 1.0 KNOWLEDGE OF ALGEBRA...1 1.1. Identify graphs of linear inequalities on a number line...1 1.2. Identify graphs of linear equations and inequalities in the coordinate

More information

PreCalculus. Curriculum (637 topics additional topics)

PreCalculus. Curriculum (637 topics additional topics) PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

Unit 1 Algebra Boot Camp #1 (2 weeks, August/September)

Unit 1 Algebra Boot Camp #1 (2 weeks, August/September) Unit 1 Algebra Boot Camp #1 (2 weeks, August/September) Common Core State Standards Addressed: F.IF.4: For a function that models a relationship between two quantities, interpret key features of graphs

More information