STEM-Prep Pathway SLOs

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "STEM-Prep Pathway SLOs"

Transcription

1 STEM-Prep Pathway SLOs Background: The STEM-Prep subgroup of the MMPT adopts a variation of the student learning outcomes for STEM from the courses Reasoning with Functions I and Reasoning with Functions II by the New Math Pathway as a baseline. The New Math Pathway s Reasoning with Functions I and Reasoning with Functions II are designed for students who intend to pursue a degree in the fields of science, technology, engineering or mathematics, as well as other fields that require a high level of algebraic reasoning. Communication Goal: Students will be able to interpret and communicate quantitative information and mathematical and statistical concepts using language appropriate to the context and intended audience. Specifically, students will be able to: Communicate effectively about function processes using function notation. Describe the behavior of a function on entire intervals. Describe dynamic scenarios using graphs, tables, symbolically and in writing using appropriate mathematical language. Communicate conclusions both orally and in written form and support these conclusions by providing appropriate mathematical justification. Problem Solving Goal: Students will be able to make sense of problems, develop strategies to find solutions and persevere in solving problems. Specifically, students will be able to: Identify a variety of strategies to solve a problem, persist in applying a strategy, and reflect on the outcome of that strategy. Solve multistep problems in a variety of contexts related to science, technology, engineering and mathematics. Reasoning Goal: Students will be able to reason, model and draw conclusions or make decisions using mathematical, statistical and quantitative information. Specifically, students will be able to:

2 Examine and explore functions in various contexts and representations and draw appropriate conclusions. Apply mathematical reasoning to create appropriate functional models and use these models to make decisions. Create mathematical models in a variety of applications and use these models to make decisions. Evaluation Goal: Students will be able to critique and evaluate quantitative arguments that utilize mathematical, statistical and quantitative information. Specifically, students will be able to: Identify constraints and limitations for mathematical models in a variety of contexts and representations. Critically reflect on the reasonableness of their solutions. Technology Goal: Students will be able to use appropriate technology in such a manner as to not hinder their ability to perform algebraic manipulations by hand. Specifically, students will be able to: Use technology effectively and appropriately to analyze multiple representations of a function. Our subgroup is recommending that we refer to the courses Precalculus A and Precalculus B for the purposes of this document. Individual institutions may select their own course title. Content Learning Outcomes for Precalculus A: The content learning outcomes ensure students develop a firm foundation in functions and algebraic reasoning. The learning outcomes are fall under these three topics: Foundations of Functions Analysis of Functions Algebraic Reasoning Conic Sections (optional) Foundations of Functions:

3 Outcome: Students will use multiple representations of different function types to investigate quantities and describe relationships between quantities. Recognize quantities and define variables that are present in a given situation. For example: Clearly define variables relevant to a problem, use appropriate units of measure and use delta notation to denote changes in quantities. Use multiple representations of functions to interpret and describe how two quantities change together. For example: Justify the presence of a relationship, identify constraints on quantities and domains, distinguish between dependent and independent variables, identify domains and ranges, and draw diagrams of dynamic situations. Measure, compute, describe and interpret rates of change of quantities embedded in multiple representations. For example: Identify constant rates of change, determine average rates of change and be able to estimate instantaneous rates of change. Effectively communicate using function notation. For example: Recognize why function notation is used and be able to represent functions in multiple ways. Use appropriate tools and representations to investigate the patterns and relationships present in multiple function types. For example: Work effectively with linear, quadratic, exponential, logarithmic, rational, periodic, piecewise and absolute value functions. Analysis of Functions: Outcome: Students will describe characteristics of different function types and convert between different representations and algebraic forms to analyze and solve meaningful problems.

4 Create, use and interpret linear equations and convert between forms as appropriate. For example: Identify important values (e.g. slope & intercepts) from multiple representations, determine equations of lines given one point and the slope, two points, or statements about proportional relationships. Create, use and interpret exponential equations and convert between forms as appropriate. For example: Model constant percent change and be able to interpret half-life and doubling time to create a growth model. Recognize similarities and differences between linear functions, exponential functions, the role of e as a natural base, describe long-term behavior of growth models. Be able to invert the exponential function to create a logarithmic function. Use and interpret polynomial, power and rational functions. For example: Recognize how power functions are different from exponential functions. Be able to graph rational functions. Determine whether a graph has symmetry and whether a function is even or odd. Determine maximum, minimum and turning points of a graph. Find roots of a function and correctly graph them. Find vertical and horizontal asymptotes and describe an asymptote in terms of limits. Construct, use and describe transformations and operations of functions. For example: Describe how the graph of a function can be the result of vertical and horizontal shifts, stretches and compressions of the graph of a basic function. Construct, use and describe composition of functions. For example: Create new functions by composing basic functions, describe the domain of the new function, and decompose a composite function into basic functions. Construct, use and describe inverses of functions. For example: For a given function, determine if an inverse exists. Find the inverse function and describe its domain and range. Algebraic Reasoning

5 Outcome: Students will identify and apply algebraic reasoning to write equivalent expressions, solve equations and interpret inequalities. Use factoring techniques to simplify expressions and locate roots. For example: Use the distributive property, multiply polynomials, complete the square, factor and work with inequalities (as they arise from absolute value, distances and other similar geometric interpretations). Be familiar with complex roots and basic properties of complex numbers. Use algebraic reasoning to simplify a variety of expressions and find roots of equations involving multiple function types. For example: Correctly apply properties of exponents and logarithms. Be able to work with polynomial, radical and rational functions. Describe asymptotic behavior of functions near roots of the denominator and as x increases/decreases without bound. Use rational exponents to express and simplify a variety of expressions and solve equations. For example: Translate between radicals and rational exponents, factor out common rational powers, simplify fractional expressions involving rational exponents. Recognize, solve and apply systems of linear equations using matrices. For example: Set up and solve systems of linear equations using simple substitution and Gaussian elimination. Conic Sections (optional): Outcome: Students will recognize and work with the four conic sections: circles, ellipses, parabolas and hyperbolas. Identify the four conic sections and basic properties. For example: Given a graph or equation of a conic, identify the conic as a circle, ellipse, parabola or hyperbola. For circles, identify the center and radius. For ellipses, identify the major axis, minor axis, vertices and foci. For parabolas, identify the vertex, focus and axis of symmetry. For hyperbolas, identify the center and asymptotes. Graph basic conic sections. For example: Graph a conic given its equation or a list of properties.

6 Write equations of conics given a list of properties. For example: Given the center and a point on a circle, write its equation. Given the focus and vertex of a parabola, write its equation. Given enough information about an ellipse, write its equation.

7 Content Learning Outcomes for Precalculus B: The learning outcomes for Precalculus B fall under these three topics: Geometric reasoning Trigonometry Conic Sections (optional) Geometric Reasoning: Outcome: Students will apply geometric reasoning to model and solve problems involving length, area and volume. Use geometric formulas for length, area and volume of common shapes For example: Apply the Pythagorean Theorem and determine the distance between points in the plane. Compute circumference and area of circles. Compute perimeter and area of triangles and rectangles. Calculate the volume of spheres, rectangular solids, cones and cylinders. Use proportional reasoning to describe and identify geometric quantities. For example: Determine the arc length of a sector. Find missing lengths or angles in similar triangles. Conic Sections (optional): Outcome: Students will recognize and work with the four conic sections: circles, ellipses, parabolas and hyperbolas. Identify the four conic sections and basic properties. For example: Given a graph or equation of a conic, identify the conic as a circle, ellipse, parabola or hyperbola. For circles, identify the center and radius. For ellipses, identify the major axis, minor axis, vertices and foci. For parabolas, identify the vertex, focus and axis of symmetry. For hyperbolas, identify the center and asymptotes. Graph basic conic sections.

8 For example: Graph a conic given its equation or a list of properties. Write equations of conics given a list of properties. For example: Given the center and a point on a circle, write its equation. Given the focus and vertex of a parabola, write its equation. Given enough information about an ellipse, write its equation. Trigonometry: Outcome: Students will model and solve meaningful problems using trigonometric functions and their properties. Demonstrate an understanding of the properties of angles and of the basic trigonometric functions. For example: Convert between degrees and radians. Interpret sine and cosine as coordinates on a unit circle. Understand definitions of tangent, cotangent, secant and cosecant. Apply right triangle trigonometry and recognize when a trigonometric function appropriately represents the relationship between two variables. Prove and use trigonometric identities For Example: Use the Pythagorean identity (and its variations), double and half angle identities, and angle addition and subtraction formulas to convert and simplify trigonometric expressions. Identify important properties of the graphs of trigonometric functions. For example: Identify amplitude, period, frequency, phase shift (domain shift), and vertical and horizontal shifts and stretches. Solve equations involving trigonometric functions. For example: Use identities, properties and factoring to simplify a trigonometric equation. Find general solutions to a trigonometric equation, as well as solutions within a given interval. Solve for missing lengths or angles of oblique triangles. For example: Apply the Law of Sines and Cosines Use and describe inverse trigonometric functions. For example: Use a calculator and reference angle to evaluate inverse trigonometric functions. Solve equations using properties of inverse trigonometric functions.

9

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

ALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340

ALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340 ALGEBRA & TRIGONOMETRY FOR CALCULUS Course Description: MATH 1340 A combined algebra and trigonometry course for science and engineering students planning to enroll in Calculus I, MATH 1950. Topics include:

More information

Precalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus

Precalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus Precalculus Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw-Hill, 2008. ISBN: 9780073312637 [This text is available as an etextbook at purchase

More information

Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards

Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Standard 2 : Number & Operations CLE 3103.2.1: CLE 3103.2.2: CLE 3103.2.3:

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

How well do I know the content? (scale 1 5)

How well do I know the content? (scale 1 5) Page 1 I. Number and Quantity, Algebra, Functions, and Calculus (68%) A. Number and Quantity 1. Understand the properties of exponents of s I will a. perform operations involving exponents, including negative

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

Mathematics Precalculus: Academic Unit 7: Conics

Mathematics Precalculus: Academic Unit 7: Conics Understandings Questions Knowledge Vocabulary Skills Conics are models of real-life situations. Conics have many reflective properties that are used in every day situations Conics work can be simplified

More information

Algebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions

Algebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions Algebra 2 Chapter 1 Foundations for Chapter 2 Quadratic Chapter 3 Polynomial Chapter 4 Exponential and Logarithmic Chapter 5 Rational and Radical Chapter 6 Properties and Attributes of Chapter 7 Probability

More information

Integrated Mathematics I, II, III 2016 Scope and Sequence

Integrated Mathematics I, II, III 2016 Scope and Sequence Mathematics I, II, III 2016 Scope and Sequence I Big Ideas Math 2016 Mathematics I, II, and III Scope and Sequence Number and Quantity The Real Number System (N-RN) Properties of exponents to rational

More information

College Algebra with Trigonometry

College Algebra with Trigonometry College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional

More information

Pearson Georgia High School Mathematics Advanced Algebra

Pearson Georgia High School Mathematics Advanced Algebra A Correlation of Pearson Georgia High School Mathematics Advanced Algebra 2014 to the Gwinnett County Academic Knowledge and Skills (AKS) Mathematics Table of Contents A - Process Skills... 1 C - Geometry...

More information

Algebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.

Algebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions. Standard 1: Relations and Functions Students graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.

More information

, Precalculus, Quarter 1

, Precalculus, Quarter 1 2017.18, Precalculus, Quarter 1 The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency

More information

Honors Precalculus Yearlong Mathematics Map

Honors Precalculus Yearlong Mathematics Map Honors Precalculus Yearlong Mathematics Map Resources: Approved from Board of Education Assessments: District Benchmark Assessments Common Core State Standards Standards for Mathematical Practice: 1. Make

More information

Grade 12- PreCalculus

Grade 12- PreCalculus Albuquerque School of Excellence Math Curriculum Overview Grade 12- PreCalculus Module Complex Numbers and Transformations Module Vectors and Matrices Module Rational and Exponential Functions Module Trigonometry

More information

Integrated Math 3 Math 3 Course Description:

Integrated Math 3 Math 3 Course Description: Course Description: Integrated Math 3 Math 3 Course Description: Integrated strands include algebra, functions, geometry, trigonometry, statistics, probability and discrete math. Scope and sequence includes

More information

Pre-Calculus and Trigonometry Capacity Matrix

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

More information

Saxon Advanced Mathematics Scope and Sequence

Saxon Advanced Mathematics Scope and Sequence hmhco.com Saxon Advanced Mathematics Scope and Sequence Foundations Calculator Perform two-variable analysis Use graphing calculators Find roots of equations Solve systems of equations Exponentials and

More information

High School Mathematics Math IV

High School Mathematics Math IV High School Mathematics Math IV The fundamental purpose of Mathematics IV is to generalize and abstract learning accumulated through previous courses and to provide the final springboard to calculus. Students

More information

1.9 CC.9-12.A.REI.4b graph quadratic inequalities find solutions to quadratic inequalities

1.9 CC.9-12.A.REI.4b graph quadratic inequalities find solutions to quadratic inequalities 1 Quadratic Functions and Factoring 1.1 Graph Quadratic Functions in Standard Form 1.2 Graph Quadratic Functions in Vertex or Intercept Form 1.3 Solve by Factoring 1.4 Solve by Factoring 1.5 Solve Quadratic

More information

Curriculum Guide College Algebra

Curriculum Guide College Algebra Unit 1: Review of Basic Algebra Polynomial literally means many names. What is the significance of the many names for God in the Bible? 15 Lessons CA#1 1. Add/subtract/multiply/divide polynomials. 2. Factor

More information

Algebra II. Key Resources: Page 3

Algebra II. Key Resources: Page 3 Algebra II Course This course includes the study of a variety of functions (linear, quadratic higher order polynomials, exponential, absolute value, logarithmic and rational) learning to graph, compare,

More information

Algebra 2 with Trigonometry

Algebra 2 with Trigonometry Algebra 2 with Trigonometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize

More information

Precalculus. Represent complex numbers and their operations on the complex plane.

Precalculus. Represent complex numbers and their operations on the complex plane. Precalculus Precalculus is designed for students who have successfully completed the Algebra II with Trigonometry course. This course is considered to be a prerequisite for success in calculus and college

More information

NC Math 3 Draft Standards

NC Math 3 Draft Standards Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4.

More information

Unit 1. Revisiting Parent Functions and Graphing

Unit 1. Revisiting Parent Functions and Graphing Unit 1 Revisiting Parent Functions and Graphing Revisiting Statistics (Measures of Center and Spread, Standard Deviation, Normal Distribution, and Z-Scores Graphing abs(f(x)) and f(abs(x)) with the Definition

More information

Prentice Hall: Algebra 2 with Trigonometry 2006 Correlated to: California Mathematics Content Standards for Trigonometry (Grades 9-12)

Prentice Hall: Algebra 2 with Trigonometry 2006 Correlated to: California Mathematics Content Standards for Trigonometry (Grades 9-12) California Mathematics Content Standards for Trigonometry (Grades 9-12) Trigonometry uses the techniques that students have previously learned from the study of algebra and geometry. The trigonometric

More information

This image cannot currently be displayed. Course Catalog. Algebra II Glynlyon, Inc.

This image cannot currently be displayed. Course Catalog. Algebra II Glynlyon, Inc. This image cannot currently be displayed. Course Catalog Algebra II 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND

More information

New Jersey Quality Single Accountability Continuum (NJQSAC) A-CED 1-4; A-REI 1-2,5-7; F-IF 1-2, 4-5; N-Q 1-3; N-RN

New Jersey Quality Single Accountability Continuum (NJQSAC) A-CED 1-4; A-REI 1-2,5-7; F-IF 1-2, 4-5; N-Q 1-3; N-RN New Jersey Quality Single Accountability Continuum (NJQSAC) (former ICM) Date: Unit 1, September 4-30 How do we use functions to solve real world problems? How can we model a real-life situation with a

More information

Algebra II Assessment. Eligible Texas Essential Knowledge and Skills

Algebra II Assessment. Eligible Texas Essential Knowledge and Skills Algebra II Assessment Eligible Texas Essential Knowledge and Skills STAAR Algebra II Assessment Mathematical Process Standards These student expectations will not be listed under a separate reporting category.

More information

NEW YORK ALGEBRA TABLE OF CONTENTS

NEW YORK ALGEBRA TABLE OF CONTENTS NEW YORK ALGEBRA TABLE OF CONTENTS CHAPTER 1 NUMBER SENSE & OPERATIONS TOPIC A: Number Theory: Properties of Real Numbers {A.N.1} PART 1: Closure...1 PART 2: Commutative Property...2 PART 3: Associative

More information

3. (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

3. (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. Mathematics Standards for Trigonometry/Precalculus The Kansas College and Career Ready high school standards specify the mathematics that all students should study in order to be college and career ready.

More information

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA Algebra II/Geometry Dunmore School District Dunmore, PA Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully

More information

Curriculum Catalog

Curriculum Catalog 2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents PRE-CALCULUS COURSE OVERVIEW...1 UNIT 1: RELATIONS AND FUNCTIONS... 1 UNIT 2: FUNCTIONS... 1 UNIT 3: TRIGONOMETRIC FUNCTIONS... 2 UNIT

More information

Alabama Course of Study: Mathematics Precalculus

Alabama Course of Study: Mathematics Precalculus A Correlation of : Graphical, Numerical, Algebraic 8 th Edition to the INTRODUCTION This document demonstrates how : Graphical, Numerical, Algebraic, 8th Edition 2011, (Demana, et al.), meets the indicators

More information

Pre-Calculus Common Core Overview. Represent and model with vector quantities. (+) N.VM.1, 2, 3

Pre-Calculus Common Core Overview. Represent and model with vector quantities. (+) N.VM.1, 2, 3 Pre-Calculus Common Core Overview Number and Quantity Algebra Geometry Statistics and Probability The Complex Number System Vector Quantities and Matrices Reasoning with Equations and Inequalities Interpreting

More information

Prentice Hall Algebra Correlated to: South Dakota Mathematics Standards, (Grades 9-12)

Prentice Hall Algebra Correlated to: South Dakota Mathematics Standards, (Grades 9-12) High School Algebra Indicator 1: Use procedures to transform algebraic expressions. 9-12.A.1.1. (Comprehension)Write equivalent forms of algebraic expressions using properties of the set of real numbers.

More information

ALGEBRA 2/MATH 3 COURSE 1

ALGEBRA 2/MATH 3 COURSE 1 ALGEBRA 2/MATH 3 COURSE 1 TABLE OF CONTENTS NUMBER AND QUANTITY 6 THE REAL NUMBER SYSTEM (N.RN) 6 EXTEND THE PROPERTIES OF EXPONENTS TO RATIONAL EXPONENTS. (N.RN.1-2) 6 Expectations for Learning 6 Content

More information

Prentice Hall Algebra Correlated to: Illinois Math Assessment Frameworks (Grade 11)

Prentice Hall Algebra Correlated to: Illinois Math Assessment Frameworks (Grade 11) Mathematics State Goal 6: Number Sense Grade 11 Standard 6A Representations and Ordering 6.11.01 Recognize, represent, order, compare real numbers, and locate real numbers on a number line (e.g., π, Ö

More information

Honors Algebra II/Trigonometry

Honors Algebra II/Trigonometry Honors Algebra II/Trigonometry Scranton School District Scranton, PA Honors Algebra II/Trigonometry Prerequisite: Successful completion of Geometry or Honors Geometry Be in compliance with the SSD Honors

More information

Prentice Hall Algebra Correlated to: Hawaii Mathematics Content and Performances Standards (HCPS) II (Grades 9-12)

Prentice Hall Algebra Correlated to: Hawaii Mathematics Content and Performances Standards (HCPS) II (Grades 9-12) Prentice Hall Hawaii Mathematics Content and Performances Standards (HCPS) II (Grades 9-12) Hawaii Content and Performance Standards II* NUMBER AND OPERATIONS STANDARD 1: Students understand numbers, ways

More information

Get started [Hawkes Learning] with this system. Common final exam, independently administered, group graded, grades reported.

Get started [Hawkes Learning] with this system. Common final exam, independently administered, group graded, grades reported. Course Information Math 095 Elementary Algebra Placement No placement necessary Course Description Learning Outcomes Elementary algebraic topics for students whose mathematical background or placement

More information

Copyright 2016 Pearson Education, Inc. or its affiliates. All rights reserved. NES, the NES logo, Pearson, the Pearson logo, and National Evaluation

Copyright 2016 Pearson Education, Inc. or its affiliates. All rights reserved. NES, the NES logo, Pearson, the Pearson logo, and National Evaluation Mathematics (304) Copyright 2016 Pearson Education, Inc. or its affiliates. All rights reserved. NES, the NES logo, Pearson, the Pearson logo, and National Evaluation Series are trademarks, in the U.S.

More information

Prerequisite knowledge/skills: Before entering the course the student should be able to

Prerequisite knowledge/skills: Before entering the course the student should be able to Reviewed by: Brian Jean Reviewed by: Diane Jones Reviewed by: Joy Reynolds Reviewed by: Greg Golling Date reviewed: September 14, 2015 C&GE Approved: October 12, 2015 Board Approved: November 11, 2015

More information

Cherokee County School District Year-Long Curriculum Map GSE Pre-Calculus 1 st Semester 2 nd Semester

Cherokee County School District Year-Long Curriculum Map GSE Pre-Calculus 1 st Semester 2 nd Semester Cherokee County School District Year-Long Curriculum Map GSE Pre-Calculus 1 st Semester 2 nd Semester Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Functions MGSE9-12 F.IF.4, 7, 7e F.TF.1, 2,

More information

Mathematics: Algebra II Honors Unit 1: Quadratic Functions

Mathematics: Algebra II Honors Unit 1: Quadratic Functions Understandings Questions Knowledge Vocabulary Skills Quadratic functions can be used to model real-life situations. What are the properties of Algebra and how are these used to solve quadratic equations?

More information

Lone Star College-CyFair Formula Sheet

Lone Star College-CyFair Formula Sheet Lone Star College-CyFair Formula Sheet The following formulas are critical for success in the indicated course. Student CANNOT bring these formulas on a formula sheet or card to tests and instructors MUST

More information

1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.

1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents. Math120 - Precalculus. Final Review. Fall, 2011 Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.

More information

THEIR GRAPHS, AND THEIR

THEIR GRAPHS, AND THEIR St. Michael Albertville High School Teacher: Kim Benson Algebra 2 (Master) August 2015 CEQs: WHAT RELATIONSHIP S EXIST BETWEEN VARIOUS FUNCTIONS, THEIR GRAPHS, AND THEIR SOLUTION(S)? HOW DO WE SIMPLIFY

More information

Standards Map - Basic Comprehensive Program Grades Eight Through Twelve - Mathematics

Standards Map - Basic Comprehensive Program Grades Eight Through Twelve - Mathematics Publisher: Pearson Prentice Hall Program Title: Connected Mathematics 2, 8 th Grade Units 2006 Components: SE = Student Edition; TG = Teacher s Guide; TECH = Technology Grade Level(s): 8 Intended Audience:

More information

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning BUI L T F O VIR R G INIA 2014 2015 Virginia -Specific Learning Pathways Grades 6-Algebra I: Standards of Learning Table of Contents Grade 6...3 Grade 7...6 Grade 8...9 Algebra I... 11 Grade 6 Virginia

More information

Subject: Equations Calendar: August/September Timeframe: NA Level/Grade: 10/11 Algebra 2

Subject: Equations Calendar: August/September Timeframe: NA Level/Grade: 10/11 Algebra 2 Subject: Equations Calendar: August/September Timeframe: NA Level/Grade: 10/11 Algebra 2 Chapter: Solving Equations and Inequalities I. Solving Linear Equations II. Solving One-Variable Linear Inequalities

More information

Range of Competencies

Range of Competencies MATHEMATICS l. Content Domain Range of Competencies Mathematical Processes and Number Sense 0001 0003 19% ll. Patterns, Algebra, and Functions 0004 0007 24% lll. Measurement and Geometry 0008 0010 19%

More information

Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence 2017

Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence 2017 Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence 2017 Alberta Mathematics Kindergarten to Grade 12 Scope and Sequence ISBN 978-1-4601-3484-9 Questions or concerns regarding this document

More information

Pre-Calculus and Trigonometry Capacity Matrix

Pre-Calculus and Trigonometry Capacity Matrix Information Pre-Calculus and Capacity Matri Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational epressions Solve polynomial equations and equations involving

More information

ALGEBRA I CCR MATH STANDARDS

ALGEBRA I CCR MATH STANDARDS RELATIONSHIPS BETWEEN QUANTITIES AND REASONING WITH EQUATIONS M.A1HS.1 M.A1HS.2 M.A1HS.3 M.A1HS.4 M.A1HS.5 M.A1HS.6 M.A1HS.7 M.A1HS.8 M.A1HS.9 M.A1HS.10 Reason quantitatively and use units to solve problems.

More information

Algebra 2 Pearson High School SY

Algebra 2 Pearson High School SY Chapters Total School Days Algebra 2 Pearson High School 2017-2018 SY Benchmark Cycle1 Benchmark Cycle2 Benchmark Cycle 3 Cycle 4 September 5 October 31 BM Window Opens Nov 1 Term 1 ends Nov 13 November

More information

correlated to the Washington D.C. Public Schools Learning Standards Algebra II

correlated to the Washington D.C. Public Schools Learning Standards Algebra II correlated to the Washington D.C. Public Schools Learning Standards Algebra II McDougal Littell Algebra 2 2007 correlated to the Washington DC Public Schools Learning Standards Algebra II NUMBER SENSE

More information

Student Learning Outcomes MATH 100: BEGINNING ALGEBRA

Student Learning Outcomes MATH 100: BEGINNING ALGEBRA Student Learning Outcomes MATH 100: BEGINNING ALGEBRA I. Real Numbers 1. Perform the basic operations on fractions, reduce, and convert to decimals and percents. 2. Define, classify, and graph real numbers.

More information

Algebra 2 Secondary Mathematics Instructional Guide

Algebra 2 Secondary Mathematics Instructional Guide Algebra 2 Secondary Mathematics Instructional Guide 2009-2010 ALGEBRA 2AB (Grade 9, 10 or 11) Prerequisite: Algebra 1AB or Geometry AB 310303 Algebra 2A 310304 Algebra 2B COURSE DESCRIPTION Los Angeles

More information

Grade 8 Math Curriculum Map Erin Murphy

Grade 8 Math Curriculum Map Erin Murphy Topic 1 Variables and Expressions 2 Weeks Summative Topic Test: Students will be able to (SWBAT) use symbols o represent quantities that are unknown or that vary; demonstrate mathematical phrases and real-world

More information

AP CALCULUS BC Syllabus / Summer Assignment 2015

AP CALCULUS BC Syllabus / Summer Assignment 2015 AP CALCULUS BC Syllabus / Summer Assignment 015 Name Congratulations! You made it to BC Calculus! In order to complete the curriculum before the AP Exam in May, it is necessary to do some preparatory work

More information

MATHia Unit MATHia Workspace Overview TEKS

MATHia Unit MATHia Workspace Overview TEKS 1 Function Overview Searching for Patterns Exploring and Analyzing Patterns Comparing Familiar Function Representations Students watch a video about a well-known mathematician creating an expression for

More information

Aldine I.S.D. Benchmark Targets/ Algebra 2 SUMMER 2004

Aldine I.S.D. Benchmark Targets/ Algebra 2 SUMMER 2004 ASSURANCES: By the end of Algebra 2, the student will be able to: 1. Solve systems of equations or inequalities in two or more variables. 2. Graph rational functions and solve rational equations and inequalities.

More information

Prealgebra and Elementary Algebra

Prealgebra and Elementary Algebra Prealgebra and Elementary Algebra 978-1-63545-035-4 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek,

More information

Algebra 2 College Prep Curriculum Maps

Algebra 2 College Prep Curriculum Maps Algebra 2 College Prep Curriculum Maps Unit 1: Polynomial, Rational, and Radical Relationships Unit 2: Modeling With Functions Unit 3: Inferences and Conclusions from Data Unit 4: Trigonometric Functions

More information

College Algebra. Course Text. Course Description. Course Objectives. StraighterLine MAT101: College Algebra

College Algebra. Course Text. Course Description. Course Objectives. StraighterLine MAT101: College Algebra College Algebra Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 9780072867381 [This text is available as an etextbook at

More information

K-12 MATH HIGH ACHIEVEMENT OUTCOMES

K-12 MATH HIGH ACHIEVEMENT OUTCOMES K-12 MATH HIGH ACHIEVEMENT OUTCOMES Mission Statement: By working individually and cooperatively, students in math will apply mathematical concepts, demonstrate computational skills, and use technological

More information

Topics Covered in Math 115

Topics Covered in Math 115 Topics Covered in Math 115 Basic Concepts Integer Exponents Use bases and exponents. Evaluate exponential expressions. Apply the product, quotient, and power rules. Polynomial Expressions Perform addition

More information

A video College Algebra course & 6 Enrichment videos

A video College Algebra course & 6 Enrichment videos A video College Algebra course & 6 Enrichment videos Recorded at the University of Missouri Kansas City in 1998. All times are approximate. About 43 hours total. Available on YouTube at http://www.youtube.com/user/umkc

More information

Sequenced Units for Arizona s College and Career Ready Standards MA40 Algebra II

Sequenced Units for Arizona s College and Career Ready Standards MA40 Algebra II Sequenced Units for Arizona s College and Career Ready Standards MA40 Algebra II Year at a Glance Semester 1 Semester 2 Unit 1: Linear Functions (10 days) Unit 2: Quadratic Functions (10 days) Unit 3:

More information

Algebra 3-4 Honors PUHSD Curriculum. PARCC MODEL CONTENT FRAMEWORK FOR ALGEBRA 3-4 Honors

Algebra 3-4 Honors PUHSD Curriculum. PARCC MODEL CONTENT FRAMEWORK FOR ALGEBRA 3-4 Honors PARCC MODEL CONTENT FRAMEWORK FOR ALGEBRA 3-4 Honors Building on their work in Algebra I with linear and quadratic functions, students in Algebra II expand their repertoire by working with rational and

More information

NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York

NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York DEPARTMENT: Mathematics COURSE: MAT 1275 TITLE: DESCRIPTION: TEXT: College Algebra and Trigonometry An intermediate and advanced algebra

More information

MTH306: Algebra II. Course length: Two semesters. Materials: None

MTH306: Algebra II. Course length: Two semesters. Materials: None MTH306: Algebra II Students are able to gain credit if they have previously completed this course but did not successfully earn credit. For each unit, students take a diagnostic test that assesses their

More information

STATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF DRAFT SYLLABUS.

STATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF DRAFT SYLLABUS. STATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF 2017 - DRAFT SYLLABUS Subject :Mathematics Class : XI TOPIC CONTENT Unit 1 : Real Numbers - Revision : Rational, Irrational Numbers, Basic Algebra

More information

Columbus City Schools High School CCSS Mathematics III - High School PARRC Model Content Frameworks Mathematics - Core Standards And Math Practices

Columbus City Schools High School CCSS Mathematics III - High School PARRC Model Content Frameworks Mathematics - Core Standards And Math Practices A Correlation of III Common Core To the CCSS III - - Core Standards And s A Correlation of - III Common Core, to the CCSS III - - Core Standards and s Introduction This document demonstrates how - III

More information

Updated 09/15/04 Integrated Mathematics 4

Updated 09/15/04 Integrated Mathematics 4 Integrated Mathematics 4 Integrated Mathematics 4 provides students an advanced study of trigonometry, functions, analytic geometry, and data analysis with a problem-centered, connected approach in preparation

More information

Los Angeles Unified School District Secondary Mathematics Branch

Los Angeles Unified School District Secondary Mathematics Branch Math Analysis AB or Trigonometry/Math Analysis AB (Grade 10, 11 or 12) Prerequisite: Algebra 2AB 310601 Math Analysis A 310602 Math Analysis B 310505 Trigonometry/Math Analysis A 310506 Trigonometry/Math

More information

Standards for Mathematical Objectives Major & Minor

Standards for Mathematical Objectives Major & Minor Standards for Mathematical Objectives Major & Minor Practice Assessments 1) Make sense of problems and determine if a situation should be modeled by a one or two Mini Quiz 1.1 persevere in solving them.

More information

New Jersey Quality Single Accountability Continuum (NJQSAC) A-SSE 1-2; A-CED 1,4; A-REI 1-3, F-IF 1-5, 7a

New Jersey Quality Single Accountability Continuum (NJQSAC) A-SSE 1-2; A-CED 1,4; A-REI 1-3, F-IF 1-5, 7a ALGEBRA 2 HONORS Date: Unit 1, September 4-30 How do we use functions to solve real world problems? What is the meaning of the domain and range of a function? What is the difference between dependent variable

More information

Georgia Standards of Excellence Curriculum Map. Mathematics. Accelerated GSE Geometry B / Algebra II

Georgia Standards of Excellence Curriculum Map. Mathematics. Accelerated GSE Geometry B / Algebra II Georgia Standards of Excellence Curriculum Map Mathematics Accelerated GSE Geometry B / Algebra II These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.

More information

ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions.

ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions. GOALS 1. The student should be able to use mathematical properties to simplify algebraic expressions. 2. The student should be able to add, subtract, multiply, divide, and compare real numbers. 3. The

More information

Algebra 1 Math Year at a Glance

Algebra 1 Math Year at a Glance Real Operations Equations/Inequalities Relations/Graphing Systems Exponents/Polynomials Quadratics ISTEP+ Radicals Algebra 1 Math Year at a Glance KEY According to the Indiana Department of Education +

More information

Basic Fraction and Integer Operations (No calculators please!)

Basic Fraction and Integer Operations (No calculators please!) P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.

More information

Curriculum Catalog

Curriculum Catalog 2016-2017 Curriculum Catalog 2016 Glynlyon, Inc. Table of Contents ALGEBRA I FUNDAMENTALS COURSE OVERVIEW... ERROR! BOOKMARK NOT DEFINED. UNIT 1: FOUNDATIONS OF ALGEBRA... ERROR! BOOKMARK NOT DEFINED.

More information

MATHEMATICS Video List

MATHEMATICS Video List LIBRARY SERVICES MATHEMATICS Video List Macon Campus Library June 2010 MATHEMATICS Basic College Mathematics 6e 2009 - LEARNING SUPPORT Textbook (DVD, 4 discs) 1. 1.1 Understanding Whole Numbers 1.2 Adding

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

EQUATIONS, INEQUALITIES, FUNCTIONS Planning the Unit Unit 1 Overview 1 Getting Ready 2

EQUATIONS, INEQUALITIES, FUNCTIONS Planning the Unit Unit 1 Overview 1 Getting Ready 2 v-x_sb_a2_te_fm_toc.indd Page 5 15/04/14 1:55 PM user-g-w-728 To the Teacher Instructional Units UNIT 1 EQUATIONS, INEQUALITIES, FUNCTIONS 1a Unit 1 Overview 1 Getting Ready 2 Activity 1 Creating Equations

More information

Composition of and the Transformation of Functions

Composition of and the Transformation of Functions 1 3 Specific Outcome Demonstrate an understanding of operations on, and compositions of, functions. Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of

More information

Pre Algebra. Curriculum (634 topics)

Pre Algebra. Curriculum (634 topics) Pre Algebra 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

Algebra 2A Semester Credit by Exam Information

Algebra 2A Semester Credit by Exam Information Algebra 2A Semester Credit by Exam Information Plano ISD Now uses the Texas Tech University ISD Credit by Exam Test for Algebra 2 Format: first semester consists of 35 multiple choice questions and 5 open

More information

HMH Fuse Algebra correlated to the. Texas Essential Knowledge and Skills for Mathematics High School Algebra 2

HMH Fuse Algebra correlated to the. Texas Essential Knowledge and Skills for Mathematics High School Algebra 2 HMH Fuse Algebra 2 2012 correlated to the Texas Essential Knowledge and Skills for Mathematics High School Algebra 2 111.33. Algebra II (b) Knowledge and skills. (1) Foundations for functions. The student

More information

Roots and Coefficients of a Quadratic Equation Summary

Roots and Coefficients of a Quadratic Equation Summary Roots and Coefficients of a Quadratic Equation Summary For a quadratic equation with roots α and β: Sum of roots = α + β = and Product of roots = αβ = Symmetrical functions of α and β include: x = and

More information

Common Core State Standards for Mathematics - High School PARRC Model Content Frameworks Mathematics Algebra 2

Common Core State Standards for Mathematics - High School PARRC Model Content Frameworks Mathematics Algebra 2 A Correlation of CME Project Algebra 2 Common Core 2013 to the Common Core State Standards for , Common Core Correlated to the Number and Quantity The Real Number System N RN Extend the properties of exponents

More information

Algebra I Assessment. Eligible Texas Essential Knowledge and Skills

Algebra I Assessment. Eligible Texas Essential Knowledge and Skills Algebra I Assessment Eligible Texas Essential Knowledge and Skills STAAR Algebra I Assessment Mathematical Process Standards These student expectations will not be listed under a separate reporting category.

More information

Algebra III. Mathematics Curriculum Framework. Revised 2004

Algebra III. Mathematics Curriculum Framework. Revised 2004 Algebra III Mathematics Curriculum Framework Revised 2004 Title: Algebra III (Fourth-year Course) Course/Unit Credit: 1 Course Number: Teacher Licensure: Secondary Mathematics Pre-requisite: Algebra II

More information

Algebra 1. Correlated to the Texas Essential Knowledge and Skills. TEKS Units Lessons

Algebra 1. Correlated to the Texas Essential Knowledge and Skills. TEKS Units Lessons Algebra 1 Correlated to the Texas Essential Knowledge and Skills TEKS Units Lessons A1.1 Mathematical Process Standards The student uses mathematical processes to acquire and demonstrate mathematical understanding.

More information

Sullivan Algebra and Trigonometry 2016

Sullivan Algebra and Trigonometry 2016 A Correlation of Sullivan Algebra and Trigonometry 2016 To the Copyright 2015 Pearson Education, Inc. or its affiliate(s). All rights reserved. to the ELD.K12.ELL.MA.1: English language learners communicate

More information