precalculus homework help

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Precalculus Help and Problems

Topics in precalculus will serve as a transition between algebra and calculus , containing material covered in advanced algebra and trigonometry courses. Precalculus consists of insights needed to understand calculus.

Still need help after using our precalculus resources? Use our service to find a precalculus tutor .

A brief overview of sets, one of the fundamental principles of mathematics. The topic of sets introduces grouping of objects and number classifications.

Exponential Functions

An extension of exponents in terms of functions, as well as introducing the constant e . Topics include exponential growth and decay, solving with logs, compound and continuously compounded interest, and the exponential function of e .

Logarithmic Functions

A more in depth look at logarithms and logarithmic functions, as well as how they relate to exponents. Topics include the standard and natural log, solving for x and the inverse properities of logarithms.

Radical Functions

An introduction to functions with square roots and radicals and how they relate to conic sections. Topics include functions finding zeros of radical functions, functions with square roots and higher roots, and functions with no solution.

Series and Sequences

Sequences and Series always go hand in hand and they introduce the concept of Mathematical Patterns and how to deal with them. This section deals with the different types of Series and Sequences as well as the methods of finding the next term in a sequence or the sum of a series.

The major types of series and sequences include:

Arithmetic Progression

Geometric Progression

Factorials, Permutations and Combinations

Introduction to the factorial notation. The concept of combinations and permutations is introduced and explained.

Binomial Theorem

Statement of the Binomial Theorem. Pascals’ Triangle and its relation to Binomial Theorem. Expanding polynomials using the Binomial Theorem.

Parametric Equations

An overview of the use of parametric equations, including parametrizing functions and finding a function for a set of parametric equations. Topics include parametrizing lines, segments, circles and ellipses, and peicewise functions.

Polar Coordinates

An introduction to the polar coordinate system. Topics include graphing points, converting from rectangular to polar and polar to rectangular coordinates, converting degrees and radians, and polar equations.

Introduction to the concept of matrices. Different types of matrices discussed. Matrix algebra including addition, subtraction and multiplication. Matrix inverses and determinants.

Subpages include:

Matrix Equality

Matrix Addition and Subtraction

Matrix Multiplication

Special Matrices

Inverse Matrix

Reduction to Row Echelon Form

Systems of Equations

Many times we come cross systems of equations and we’re usually at odds with how to solve them. Most times we deal with two-variable or three-variable systems of equations but the methods explained in this section can be used to solve any number variable system of equations. The trick is picking which one would work better and faster for you.

The methods explained include:

Substitution Method

Elimination Method

Matrix Method

Consistent and Inconsistent Systems

• How much 4% acid solution should be mixed with 200 mL of a 12% acid to make a 9% acid solution?
• Geometry Problem
• F = 9/5C +32; solve for C
• Find the product of the complex number and its conjugate. -6 - 6i

• Anatomy & Physiology
• Astrophysics
• Earth Science
• Environmental Science
• Organic Chemistry
• Precalculus
• Trigonometry
• English Grammar
• U.S. History
• World History

... and beyond

• Socratic Meta
• Featured Answers

Algebraic Modeling

• Graphing Data
• Analyzing Data
• Solving Problems Algebraically and Graphically

Functions Defined and Notation

• Boundedness
• Local and Absolute Extrema
• End Behavior
• Introduction to Twelve Basic Functions
• Function Composition
• Modeling with Functions

Linear and Quadratic Functions

• Linear Functions and Graphs
• Average Rate of Change
• Linear Correlation and Modeling
• Graphing Quadratic Functions
• Applications of Quadratic Functions
• Linear and Quadratic Functions on a Graphing Calculator
• Completing the Square
• The Quadratic Formula

Power Functions and Variation

• Graphing Power Functions
• Modeling with Power Functions
• Power Functions and Variation on a Graphing Calculator

Polynomial Functions of Higher Degree

• Graphing Polynomial Functions
• Intermediate Value Theorem
• Polynomial Functions of Higher Degree on a Graphing Calculator

Real Zeros of Polynomials

• Zero Factor Property
• Long Division of Polynomials
• Remainder and Factor Theorems
• Synthetic Division
• Rational Zeros
• Upper and Lower Bounds
• Real Zeros of Polynomials on a Graphing Calculator

Complex Zeros

• Fundamental Theorem of Algebra
• Complex Conjugate Zeros
• Factoring Real Number Coefficients
• Complex Zeros on a Graphing Calculator

Graphing Rational Functions

• Transformations of the Reciprocal Function
• Limits - End Behavior and Asymptotes
• Graphing Rational Functions on a Graphing Calculator

Solving Rational Equations

• Extraneous Solutions
• Solving Rational Equations on a Graphing Calculator

Solving Rational Inequalities

• Sign Charts
• Polynomial Inequalities
• Solving Rational Inequalities on a Graphing Calculator

Exponential and Logistic Functions

• Exponential and Logistic Graphs
• The Natural Base e
• Population Models
• Exponential and Logistic Functions on a Graphing Calculator
• Scientific Notation

Exponential and Logistic Modeling

• Constant Percentage and Exponentials
• Exponential Growth and Decay
• Modeling Population with Regression on a Graphing Calculator
• Other Logistic Models
• Exponential and Logistic Modeling on a Graphing Calculator

Properties of Logarithmic Functions

• Logarithm-- Inverse of an Exponential Function
• Common Logs
• Functions with Base b
• Natural Logs

Solving Exponential and Logarithmic Equations

• Orders of Magnitude
• Logarithmic Models
• Newton's Law of Cooling

Vectors in the Plane

• 2-D Vectors
• Vector Operations
• Unit Vectors
• Direction Angles

Dot Product of Vectors

• The Dot Product
• Angle between Vectors
• Vector Projection

Polar Coordinates

• The Polar Coordinate System
• Converting Coordinates from Rectangular to Polar
• Converting Coordinates from Polar to Rectangular
• Converting Equations from Polar to Rectangular
• Finding Distance Between Polar Coordinates
• Rose Curves
• Cardioid Curves
• Limacon Curves

Complex Numbers in Trigonometric Form

• Complex Number Plane
• Trigonometric Form of Complex Numbers
• Multiplication of Complex Numbers
• Division of Complex Numbers
• Powers of Complex Numbers
• Roots of Complex Numbers

Solving Systems of Two Equations

• Solving by Substitution
• Solving by Elimination
• Solving Graphically

Matrix Algebra

• Addition of Matrices
• Subtraction of Matrices
• Multiplication of Matrices
• Identity Matrix
• Inverse Matrix
• Determinant of a Square Matrix
• Cramer's Rule

Matrix Row Operations

• Gaussian Elimination
• Elementary Row Operations
• Reduced Row Echelon Form
• Solving a System of Equations Using a Matrix
• Partial Fraction Decomposition (Linear Denominators)
• Partial Fraction Decomposition (Irreducible Quadratic Denominators)

Systems of Inequalities in Two Variables

• Graphing Systems of Inequalities
• Linear Programming

Geometry of a Parabola

• Standard Form of the Equation
• Vertex Form of the Equation
• Identify Critical Points
• Graphing Parabolas

Geometry of an Ellipse

• General Form of the Equation
• Graphing Ellipses

Geometry of a Hyperbola

• Graphing Hyperbolas

Translation and Rotation of Axis

• Graphing Conic Sections Algebraically
• Graphing Conic Sections on a Graphing Calculator
• Translation of a Conic Section
• Rotation of a Conic Section
• Finding the Angle of Rotation
• Finding the Coefficients for a Conic in a Rotated System

Polar Equations of Conic Sections

• Writing Polar Equations for Conic Sections
• Analyzing Polar Equations for Conic Sections

3-D Cartesian Coordinate System

• 3-D Coordinates
• Finding Distance and Midpoint
• Equation of a Sphere
• Vectors in Space
• Lines in Space
• The Binomial Theorem
• Powers of the Binomial
• Pascal's Triangle and Binomial Expansion
• Factorial Identities
• Infinite Sequences
• Limits of Infinite Sequences
• Arithmetic Sequences
• Geometric Sequences
• Working with Sequences on a Graphing Calculator
• Summation Notation
• Sums of Arithmetic Sequences
• Sums of Geometric Sequences
• Infinite Series
• Convergence of Geometric Series

Limits, Motion, and the Tangent Line

• Average Velocity
• Instantaneous Velocity
• The Derivative by Definition
• Definition of the Tangent Line

Limits, Motion, and Areas

• Distance from a Constant Velocity
• Distance from a Changing Velocity
• Connection to Areas
• The Definite Integral
• Concepts and Informal Definition of a Limit
• Properties of Limits
• Limits of Continuous Functions
• One-Sided Limits
• Two-Sided Limits
• Limits Involving Infinity

Graphs of Trigonometric Functions

• Graphing Trigonometric Functions with Domain and Range
• Graphing Trigonometric Functions with Critical Points
• Graphing Trigonometric Functions with Translations and Asymptotes
• Graphing Sine and Cosine
• Translations of Sinusodial Graphs

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Precalculus Help

Study concepts, example questions, & explanations for precalculus.

Most students study individual high-school level math subjects – algebra, geometry, and trigonometry – as separate courses. However, if you plan to eventually study higher math, you may end up on an advanced course track, where multiple subjects are covered to better prepare you for college. Precalculus is part of this advanced track. The course covers both college-level algebra and trigonometry, and is designed to lay the groundwork for calculus. If you take Precalculus, it will likely be during your junior or senior year of high school. Some schools offer an honors version of Precalculus, while others simply offer it as a college preparatory class. Whether you need  Pre-Calculus tutoring in Washington DC ,  Pre-Calculus tutoring in Kansas City , or  Pre-Calculus tutoring in Spokane , working one-on-one with an expert may be just the boost your studies need.

The content of Precalculus courses can vary from school to school. However, no matter what your class is focused on, you can find Precalculus study help using Varsity Tutors’ Learning Tools free Learn by Concept. The comprehensive content is set up like an interactive syllabus, with both main categories and a variety of smaller units and topics. Clicking on any of these topics will bring you to a series of example questions that help you review the topic. Each sample problem is presented with several multiple-choice answers. Once you have worked through the problem, you pick the answer that you believe is correct, and then check your answer against the correct one provided to see if you were right. Varsity Tutors offers resources like  free Pre-Calculus Practice Tests  to help with your self-paced study, or you may want to consider a  Pre-Calculus tutor .

Learn by Concept’s helpfulness comes from more than just providing questions and answers. Each correct answer is followed by a detailed explanation of the process used to arrive at that answer. This way, you can walk step by step through difficult, multi-step problems to see which formulas and concepts are used. If you got the answer correct, you can then check your work to see if you understood the process involved. If you got the answer wrong, you can easily find whether you made a simple mistake or if there is a concept that you should review more in future study sessions. In addition to the Pre-Calculus Help section and  Pre-Calculus tutoring , you may also want to consider taking some of our  Pre-Calculus Flashcards .

Throughout the school year, you can use the Learn by Concept tool as a Precalculus study guide. Some Precalculus courses focus on specific Calculus concepts such as conic sections or Euclidean vectors, while other put more emphasis on matrices and power functions; the Learn by Concept tool has all this material and more, including polynomial functions, sequences, and trigonometric functions. Each of the categories also drills down into specific concepts. With thousands of example questions, and questions for nearly all individual topics, you have access to plenty of Precalculus review for whatever you need assistance with.

The Learn by Concept tool is best used along with the other free Learning Tools. You can begin with one of the many free Full-Length Practice Tests, which help you determine which areas you may need help in, and compare your results against others who took the same diagnostic. There are also hundreds of Precalculus Practice Tests covering a variety of topics. Once you have completed the Learn by Concept Precalculus example questions, you can also utilize the Flashcards. These Flashcards can be sorted by category or customized for your needs. At any point during your studies, you can use the Question of the Day tool, which gives you a daily question on a random topic and helps you understand your overall preparedness. Use Varsity Tutors’ Learning Tools to stay organized and focused as you work to take your Precalculus to the next level.

• Conic Sections
• Determine the Equation of a Circle in Standard Form
• Hyperbolas and Ellipses
• Understand features of hyperbolas and ellipses
• Determine the equation of a parabola and graph a parabola
• Find the Vertex and the Axis of Symmetry of a Parabola
• Graph a Parabola
• Polar Equations of Conic Sections
• Find the Polar Equation of a Conic Section
• Identify the Conic With a Given Polar Equation
• Quadratic Systems
• Solve a System of Quadratic Equations
• Exponential and Logarithmic Functions
• Application Problems
• Exponential Equations and Inequalities
• Use Logarithms To Solve Exponential Equations and Inequalities
• Exponential Functions
• Graph Exponential Functions
• Solve Exponential Equations
• Logarithmic Functions
• Graph Logarithms
• Properties of Logarithms
• Solve Logarithmic Equations
• Rational Exponents
• Simplify Expressions With Rational Exponents
• Algebra of Functions
• Add, Subtract, Multiply, and Divide Functions
• Composition of Functions
• Cartesian Coordinate System
• Graph Equations
• Plot Points
• Inverse Functions
• Find the Inverse of a Function
• Find the Inverse of a Relation
• Linear Modeling
• Real Numbers
• Define a Field
• Relations and Functions
• Determine if a Relation is a Function
• Domain and Range
• Evaluate Functions
• Special Functions
• Absolute Value Functions
• Greatest Integer Functions
• Piecewise Functions
• Graphing Functions
• Amplitude, Period, Phase Shift of a Trig Function
• Find the Distance Between a Point and a Line
• Find the Distance Between Two Parallel Lines
• Graphing Quadratic Functions
• Express a Quadratic Function in Vertex Form
• Graph a Quadratic Function Using Intercepts, Vertex, and Axis of Symmetry
• Linear Functions
• Determine the Equation of a Linear Function
• Graph a Linear Function
• Solving Polynomial Equations
• Solve a Polynomial by Factoring
• Solving Quadratic Equations
• Find roots of quadratic equation using discriminant
• Solve a Quadratic Equation
• Write a Quadratic Equation When Given Its Solutions
• Determine the Symmetry of an Equation
• Transformations
• Reflections
• Translations
• Trigonometric Graphs (all six)
• Graphs and Inverses of Trigonometric Functions
• Graphing Inverse Trig Functions
• Graphing Tangent, Cosecant, Secant, and Cotangent Functions
• Find the Equations of Vertical Asymptotes of Tangent, Cosecant, Secant, and Cotangent Functions
• Graphing the Sine and Cosine Functions
• Find the Amplitude of a Sine or Cosine Function
• Find the Period of a Sine or Cosine Function
• Find the Phase Shift of a Sine or Cosine Function
• Graph the Sine or Cosine Function
• Harmonic Motion
• Set Up an Equation That Models Harmonic Motion
• Inverse Sine and Cosine Functions
• Evaluate Expressions That Include the Inverse Sine or Cosine Function
• Inverse Trigonometric Functions
• Evaluate Expressions That Include the Inverse Tangent, Cosecant, Secant, or Cotangent Function
• Inequalities and Linear Programming
• Linear Inequalities
• Solve Absolute Value Inequalities
• Solve and Graph Linear Inequalities
• Quadratic Inequalities
• Solve Quadratic Inequalities
• Solving Polynomial and Rational Inequalities
• Solve and Graph Polynomial Inequalities
• Solve and Graph Rational Inequalities
• Systems of Equations
• Solve Nonlinear Systems of Equations
• Solve Systems of Linear Equations
• Introductory Calculus
• Area Under a Curve
• Approximate Area Using Rectangles
• Find the Area Using Limits
• Derivatives
• Determine Points of Inflection
• Find the Critical Numbers of a Function
• Find the First Derivative of a Function
• Find the Second Derivative of a Function
• Maximum and Minimum Problems
• Rate of Change Problems
• Determine if a Function is Continuous Using Limits
• Find the Limit of a Function
• Tangents To a Curve
• Find the Equation of a Line Tangent to a Curve At a Given Point
• Find the Slope of a Line Tangent to a Curve At a Given Point
• Matrices and Vectors
• Algebraic Vectors and Parametric Equations
• Express a Vector in Component Form
• Express a Vector in Polar Form
• Find a Direction Vector When Given Two Points
• Find a Vector Equation When Given Two Points
• Find the Unit Vector in the Same Direction as a Given Vector
• Parametric Equations
• Augmented Matrices
• Solve a System of Equations in Three Variables Using Augmented Matrices
• Geometric Vectors
• Evaluate geometric vectors
• Inverses of Matrices
• Find the Multiplicative Inverse of a Matrix
• Solve a System of Equations Using the Multiplicative Inverse
• Multiplication of Matrices
• Find the Product of a Matrix and a Scalar
• Find the Product of Two Matrices
• Parallel and Perpendicular Vectors in Two Dimensions
• Determine if Two Vectors Are Parallel or Perpendicular
• Sum or Difference of Two Matrices
• Find the Sum or Difference of Two Matrices
• Polar Coordinates and Complex Numbers
• Graphs of Polar Equations
• Determine the Polar Equation of a Graph
• Polar Coordinates
• Convert Polar Coordinates To Rectangular Coordinates
• Convert Polar Equations To Rectangular Form and vice versa
• Convert Rectangular Coordinates To Polar Coordinates and vice versa
• Polar Form of Complex Numbers
• Express Complex Numbers In Polar Form
• Express Complex Numbers In Rectangular Form
• Powers and Roots of Complex Numbers
• Evaluate Powers of Complex Numbers Using DeMoivre's Theorem
• Find the Roots of Complex Numbers
• Products and Quotients of Complex Numbers in Polar Form
• Find the Product of Complex Numbers
• Find the Quotient of Complex Numbers
• Polynomial Functions
• Descartes' Rule, Intermediate Value Theorem, Sum and Product of Zeros
• Determine the Number of Positive and Negative Real Zeros of a Polynomial Using Descartes' Rule of Signs
• Find the Sum and Product of the Zeros of a Polynomial
• Fundamental Theorem of Algebra
• Express a Polynomial as a Product of Linear Factors
• Find Complex Zeros of a Polynomial Using the Fundamental Theorem of Algebra
• Graphs of Polynomial Functions
• Graph a Polynomial Function
• Write the Equation of a Polynomial Function Based on Its Graph
• Integral and Rational Zeros of Polynomial Functions
• Find the Zeros of a Function Using the Rational Zeros Theorem
• Radical Functions
• Solve radical equations and inequalities
• Rational Functions
• Find a Point of Discontinuity
• Find Intercepts and Asymptotes
• Rational Equations and Partial Fractions
• Synthetic Division and the Remainder and Factor Theorems
• Divide Polynomials by Binomials Using Synthetic Division
• Evaluate a Polynomial Using Synthetic Substitution
• Sequences and Series
• Arithmetic and Geometric Series
• Partial Sums of Series
• Sigma Notation
• Sums of Infinite Series
• Terms in a Series
• Trigonometric Applications
• Area of a Triangle
• Use trigonometric functions to calculate the area of a triangle
• Law of Cosines and Sines
• Use the laws of cosines and sines
• Solving Right Triangles
• Solve a Right Triangle
• Trigonometric Functions
• Angle Measures in Degrees and Radians
• Convert Between Degrees and Radians
• Find the Area of a Sector Using Radians
• Find the Length of the Arc of a Circle Using Radians
• Angles in the Coordinate Plane
• Find the Degree Measure of an Angle
• Find the Measure of a Coterminal Angle
• Angular and Linear Velocity
• Solve Angular Velocity Problems
• Solve Linear Velocity Problems
• Circular Functions
• Find the value of the sine or cosine functions of an angle given a point on its terminal side
• Evaluating Trig Functions
• Find the decimal value of a trigonometric function
• Find the degree measure of an angle for which the value of a trigonometric function is known
• Fundamental Trigonometric Identities
• Simplify expressions using trigonometric identities
• Proving Trig Identities
• Prove Trigonometric Identities
• Determine the domain of a trigonometric function
• Find the value of any of the six trigonometric functions
• Trigonometric Identities
• Solving Trigonometric Equations and Inequalities
• Solve Trigonometric Equations and Inequalities
• Solve Trigonometric Equations and Inequalities in Quadratic Form
• Sum and Difference Identities
• Sum and Difference Identities For Cosine
• Sum and Difference Identities For Sine
• Sum and Difference Identities For Tangent

All Precalculus Resources

Precalculus

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Curriculum Resources

eTools for Exploration

• Activities to build conceptual understanding
• CPM proprietary tools, algebra tiles and integer tiles, and Integrated digital activities

Mixed Spaced Practice with Homework Help

• Provides students practice with past material
• Lays a foundation for future learning
• Multiple opportunities for students to revisit skills
• Homework help linked from eBook provides support for students’ emerging understanding of new topics
• Includes solved problems, hints to get started, and references to previously solved problems

Sample of Homework Help 

Skill Builders

• Review of previous course skills
• Providing a solution to a problem in the book, explaining the concept, and giving more practice problems with answers included.

Sample: Solving Right Triangles (PDF)

Problem Generator

• The  CPM Statistics course  comes with access to a statistics problem generator that parallels the problems developed in each chapter. There are thousands of problem scenarios available and the data is uniquely generated for each one so it can serve as a nearly infinite source of review and test questions. The problem generator also supplies detailed solutions when prompted so your students can use it for additional practice and study.
• The  CPM JAVA course  comes with a bank of dynamically generated multiple choice questions parallels each chapter. These questions can assist students in learning computer science vocabulary and common Java implementations. The problems also help build the students’ confidence in answering multiple choice exam questions

Checkpoints (only for PreCalculus)

Checkpoints indicate to students where fluency with a skill should occur. Each checkpoint problem has the topic clearly labeled and the solution. Checkpoints also offer examples with detailed explanations, complete solution of the checkpoint problem, and more practice problems with answers included.

Link to Sample checkpoint.

Solutions Manual for Teachers

More than just answers, many of the problems show step by step solutions and/or diagrams.

Course Summary

Precalculus third edition and supplement.

• Offered with additional AP® Supplements
• Meets standards for 4th year high school math course
• Well balanced among procedural fluency, deep conceptual understanding, strategic competence, and adaptive reasoning
• Design similar to CPM Core Connections courses.
• Introduction to calculus with functions, graphs, limits, area under a curve, and rates of change.
• Labs and hands-on activities introduce and connect concepts, with an emphasis on modeling.

Calculus Third Edition

• Content required for an AP® Calculus course
• Develops the big ideas of limits, derivatives, integrals and the Fundamental Theorem of Calculus, and series. Labs and hands-on activities introduce concepts.
• Explores derivatives and integrals simultaneously, presented geometrically and in context.
• Content required for an AP® Statistics course
• Active learning based, comprehensive, technologically enhanced.
• Students can learn by solving engaging problems together in an active, technology-enhanced, classroom environment.

Computer Science Java

• Covers AP® Computer Science A topics Concepts are introduced with much more student conjecture rather than traditional lectures.
• Encourages collaboration
• Focuses on moving students of all programming abilities to a higher level
• Collaboration between students is a key component

*Advanced Placement® or AP® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this website.

Table of Contents

Precalculus third edition, precalculus third edition supplement, calculus third editions, correlations.

• Correlation of CCSS Appendix A to CPM Precalculus Third Edition (PDF)
• Correlation of CPM Precalculus Third Edition to CCSS Appendix A (PDF)
• Correlation of Calculus Third Edition to AP™ Calculus Curriculum Framework 2016 – 2017 (PDF)
• Correlation of AP™ Calculus Curriculum Framework 2016 – 2017 to CPM Calculus Third Edition (PDF)
• Correlation of AP™ Statistics Course Description Topics to CPM Statistics  (PDF)
• Correlation of CPM Statistics To AP™ Statistics Course Description Topics  (PDF)

Sample Sylabus

• CPM CS Java Syllabus (PDF)

Download Sample Lessons

• Combining Concepts (ZIP)
• Introduction to Arrays (ZIP)
• Paper and Pencil (ZIP)

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Algebra Tiles Session

Used throughout cpm middle and high school courses, concrete, geometric representation of algebraic concepts., two-hour virtual session,,  learn how students build their conceptual understanding of simplifying algebraic expressions, solving equations using these tools.  , determining perimeter,, combining like terms,, comparing expressions,, solving equations, use an area model to multiply polynomials,, factor quadratics and other polynomials, and, complete the square., support the transition from a concrete (manipulative) representation to an abstract model of mathematics.., foundations for implementation.

This professional learning is designed for teachers as they begin their implementation of CPM. This series contains multiple components and is grounded in multiple active experiences delivered over the first year. This learning experience will encourage teachers to adjust their instructional practices, expand their content knowledge, and challenge their beliefs about teaching and learning. Teachers and leaders will gain first-hand experience with CPM with emphasis on what they will be teaching. Throughout this series educators will experience the mathematics, consider instructional practices, and learn about the classroom environment necessary for a successful implementation of CPM curriculum resources.

Page 2 of the  Professional Learning Progression (PDF) describes all of the components of this learning event and the additional support available. Teachers new to a course, but have previously attended Foundations for Implementation, can choose to engage in the course Content Modules in the Professional Learning Portal rather than attending the entire series of learning events again.

Building on Instructional Practice Series

The Building on Instructional Practice Series consists of three different events – Building on Discourse, Building on Assessment, Building on Equity – that are designed for teachers with a minimum of one year of experience teaching with CPM instructional materials and who have completed the Foundations for Implementation Series.

Building on Equity

In  Building on Equity , participants will learn how to include equitable practices in their classroom and support traditionally underserved students in becoming leaders of their own learning. Essential questions include: How do I shift dependent learners into independent learners? How does my own math identity and cultural background impact my classroom? The focus of day one is equitable classroom culture. Participants will reflect on how their math identity and mindsets impact student learning. They will begin working on a plan for Chapter 1 that creates an equitable classroom culture. The focus of day two and three is implementing equitable tasks. Participants will develop their use of the 5 Practices for Orchestrating Meaningful Mathematical Discussions and curate strategies for supporting all students in becoming leaders of their own learning. Participants will use an equity lens to reflect on and revise their Chapter 1 lesson plans.

Building on Assessment

In  Building on Assessment , participants will apply assessment research and develop methods to provide feedback to students and inform equitable assessment decisions. On day one, participants will align assessment practices with learning progressions and the principle of mastery over time as well as write assessment items. During day two, participants will develop rubrics, explore alternate types of assessment, and plan for implementation that supports student ownership. On the third day, participants will develop strategies to monitor progress and provide evidence of proficiency with identified mathematics content and practices. Participants will develop assessment action plans that will encourage continued collaboration within their learning community.

Building on Discourse

In  Building on Discourse , participants will improve their ability to facilitate meaningful mathematical discourse. This learning experience will encourage participants to adjust their instructional practices in the areas of sharing math authority, developing independent learners, and the creation of equitable classroom environments. Participants will plan for student learning by using teaching practices such as posing purposeful questioning, supporting productive struggle, and facilitating meaningful mathematical discourse. In doing so, participants learn to support students collaboratively engaged with rich tasks with all elements of the Effective Mathematics Teaching Practices incorporated through intentional and reflective planning.

Core Connections Integrated III Correlations

Correlation of INT3 to CCSS Appendix A PDF

Correlation of INT3 to CCSS Math Practices PDF

INT3 Text to CCSS Standards PDF

Core Connections Integrated II

Correlation of INT2 to CCSS Appendix A PDF

Correlation INT2 to CCSS Math Practices PDF

INT2 Text to CCSS Standards PDF

Core Connections Integrated I Correlations

Correlation of INT1 to CCSS Appendix A PDF

Correlation INT1 to CCSS Math Practices PDF

INT1 Text to CCSS Standards PDF

Core Connections Algegra 2

CCSS Appendix A to Textbook CCA2 PDF

CCA2 Text to CCSS Standards Traditional PDF

Correlation CCA2 to CCSS Math Practices PDF

Core Connections Geometry Correlations

Correlation of CCG to CCSS Appendix A PDF

CCG Text to CCSS Standards Traditional PDF

Correlation CCG to CCSS Math Practices PDF

Correlation of CCG to PARCC Model Framework PDF

Core Connections Algebra Correlations

CCSS Appendix A to Textbook CCA PDF

CCA Text to CCSS Standards Traditional PDF

Correlation CCA to CCSS Math Practices PDF

Correlation of CCA to PARCC Model Framework PDF

Core Connections 3 Correlations

• Correlation CC3 to CCSS Grade 8 Standards PDF
• CC3 Text to CCSS Standards Grade 8 PDF
• Correlation CC3 to CCSS Math Practices PDF

Core Connections 2

• Correlation CC2 to CCSS Grade 7 Standards PDF
• CC2 Text to CCSS Standards Grade 7 PDF
• Correlation CC2 to CCSS Math Practices PDF

Core Connections 1

• Correlations CC1 to CCSS Grade 6 Standards PDF
• CC1 Text to CCSS Standards Grade 6 PDF
• Correlations CC1 to CCSS Math Practices PDF

Precalculus Homework Help

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Real-world Calculus Applications Where You'll Need Precalc First

It is easy to ask, “what is the point of learning calculus or even precalculus?” And you would be right. After all, what is the point of getting precalculus homework help if the big picture is fuzzy? A precalculus teacher who couldn’t explain why it’s important shouldn’t teach!

Why Students Need Precalculus Homework Help?

Precalculus  is very important to doing the following things and more:

• Measure weight of and quantity of materials needed for curved structures like dome of a church, a mosque, or a sports arena
• Determine how much cable you need between two power stations
• Find out how fast the bacteria is growing in your stomach based on changes in temperature and food
• Build a plan for your business that measures survey data
• Create a near-life experience with video games so that 3D objects respond appropriately

To do any of these things, the first step is completing precalculus assignments. If you’re in a precalc class right now, you’re already learning rotation matrices, parametric equations, and complex numbers.

If you’re a parent, it would be easy to book any tutor and let them teach your child. You’re going to want your child to master these concepts if you expect to succeed in learning calculus and applying it to a career.

Why Precalculus Homework Help Works?

But many students today are also task-oriented and extremely pragmatic. Just look at social media accounts where Snapchat is for friends, Instagram is for showing off, and Facebook is already old-fashioned. Each app has its advantages, and StudyGate offers the practical counterpunch to more commonly used video tutorial sites like Khan Academy.

How  StudyGate Precalculus Homework Help Works

• First, we pick expert tutors who have demonstrated industry experience. We look at their transcripts, degrees, and communication skills to determine the best tutors.
• Tutors must prove their abilities on the platform. Credentials get their foot in the door, but their communication skills keep them there.
• Students get better grades with online tutoring. We’re especially impressed by how our precalculus tutors help students not only get the correct answers, but value the context so they can ace the test as well.

To find a precalculus expert, post your question through homework help . Just add some basic details about what you want and watch in real-time as tutors bid to help you. Something like “help me with plane curves” or “I’m stuck on this worksheet” is usually enough to get the attention of a tutor. If you’re looking for someone to work with on an ongoing basis, you can browse our precalculus tutors .

Homework help

The downsides of free homework help..

How often do use assistance of the Internet in doing your homework? We bet, it's your daily routine to open a browser and start looking for solutions. Do you think the strangers on the other side of the screen will provide necessary information for your math homework help? Unlikely! After one successful task there might be a sad outcome. We want you to be cautious about the websites you look for assistance, that's why we have gathered the disadvantages of asking Google for free homework help.

First, and the main downside is the inability to check the result. People helping you with your task might not know the answers themselves. And what assistance would you get in this case? Wrong answers!

Second, it's the proficiency of the strangers on the other side of the screen. Who are they? College professors who came to provide homework help for free? Or just students like you who might not be able to cope with a simple task. They might not now anything about the subject, or might be way too self-confident and give you wrong answers.

Think twice before using the help from these people. In the next part of the article we describe the most popular sources of homework assistance and give our honest opinion about them.

The best websites for homework help.

When a student is looking for help he always (no exaggeration!) expects it to be free. Of course, being a college student always means being tight on budget and looking for the ways to save money even more. But it should be related to college homework help. Sadly, there are thousands of examples when a bad homework resulted in bad grades, and a poor student had to learn more to pass the exam. That's why we don't recommend to look for answers on the websites like Reddit or Chegg. Why? We explain below.

Chegg homework help is a paid service. You need to buy a monthly subscription to use it. Is it worth it? Depends on your professor. If the tasks you get are strictly from a textbook, then it might be good. To cope with a creative teachers this website has nothing to offer.

The same goes for Reddit homework help. It might be useful when you're looking for solutions on a standard task, the one that dozens of people are struggling with as well. There's nothing these services can offer if you're homework is unique and created by a teacher himself. What to do in this case? Read our recommendations below.

We recommend to try it!

There's an easy and cheap solution that will help you succeed in your studies. A personal assistance with homework created just for your tasks. No need to scroll pages looking for similar tasks and subjects, no need to copy from the screen and guess, if the results are correct. Professionals will perform the task for you! All you have to do is to provide it and enjoy a personalized approach and high quality service. After that you'll never come back to Reddit in search of answers!