# Grade 8 Math Curriculum Map Erin Murphy

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 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 relationships using symbols and operations; use equations to represent the relationship between two quantities that have the same value; represent the relationship between quantities using tables, equations and graphs. 1-1 Students will be able to (SWBAT) write algebraic expressions Algebraic expression Variable 1-2 SWBAT simplify expressions involving exponents / to use the order of operations to evaluate expressions. 1-3 SWBAT classify, graph and compare real numbers / to find and estimate square roots Evaluate Order of Operations Simplify Integers Real Numbers 1-4 SWBAT identify and use properties of real numbers Equivalent expressions 1-5 SWBAT find sums and differences of real numbers Additive inverse 1-6 SWBAT find products and quotients of real numbers 1-7 SWBAT use the distributive property to simplify expressions Coefficient Like terms Term 1-8 SWBAT solve equations using tables and mental math 1-9 SWBAT use tables, equations, and graphs to describe relationships N- RN.3, N- Q.1, N- Q.2, N- Q.3, A- APR.1, A- APR.7

2 Topic 2 Solving Two- Step Equations 2 Weeks Summative Topic Test: SWBAT solve one-step, two-step, and multi-step linear equations. As well as equations with variables on both sides; use ratios and rates to compare quantities and make conversions; write and solve a proportional; use proportional reasoning to find missing side lengths in similar figures; use the percent proportion to solve; solve percent increase and decrease problems. 2-1 SWBAT solve one-step equations in one variable Equivalent Equations Inverse Operations 2-2 SWBAT solve two-step equations in one variable 2-3 SWBAT solve multi-step equations in one variable 2-4 SWBAT solve equations with variables on both sides / to identify equations that are identities or have no solution 2-5 SWBAT rewrite and use literal equations and formulas Formula Literal Equation 2-6 SWBAT find ratios and rates / to convert units and rates Conversion Factor Rate Ratio Unit Analysis 2-7 SWBAT solve and apply proportions Cross Products Proportion 2-8 SWBAT find missing lengths in similar figures / to use similar figures when Scale measuring indirectly 2-9 SWBAT solve percent problems using proportions / to solve percent problems using the percent equation 2-10 SWBAT find percent change / to find the relative error in linear and nonlinear measurements Percent Change A- SSE.1, A- SSE.2, A- CED.2, A- CED.3, A- CED.4, A- REI.3

3 Topic 3 Solving Inequalities 3 Weeks Summative Topic Test: SWBAT write a mathematical sentence that uses an inequality symbol to compare the values of two expressions; Represent inequalities with symbols; represent a solution on a number line; solve inequalities (including multi-step and compound inequalities; use properties of inequality to solve inequalities (including multi-step and compound inequalities; solve absolute value equations and inequalities; write an equivalent pair of linear equations or inequalities. 3-1 SWBAT write, graph and identify solutions of inequalities Solution for inequality 3-2 SWBAT use addition or subtraction to solve inequalities Equivalent inequalities 3-3 SWBAT use multiplication or division to solve inequalities 3-4 SWBAT solve multi-step inequalities 3-5 SWBAT write sets and identify subsets / to find the complement of a set Compliment of a set Empty Set Roster Form Set-builder notation Universal Set 3-6 SWBAT solve and graph inequalities containing the word and / to solve and graph inequalities containing the word or Compound inequality Interval Notation 3-7 SWBAT solve equations and inequalities involving absolute value 3-8 SWBAT find the unions and intersections of sets Disjoint Sets Intersection Union A- SSE.1, A- SSE.2, A- CED.2, A- CED.3, A- REI.1, A- REI.3 A- REI.12

4 Topic 4 An Introduction To Functions 1.5 Weeks Summative Topic Test: SWBAT represent functions using tables and equations; use function notation; represent arithmetic sequences using function rules; represent relationships between variables using words, tables, equations, sets or ordered pairs and graphs; 4.1 SWBAT represent mathematical relationships using graphs 4.2 SWBAT identify and represent patterns that describe linear functions Dependent Variable Function Independent Variable Linear Function 4.3 SWBAT identify and represent patterns that describe nonlinear functions Nonlinear Function 4.4 SWBAT graph equations that represent functions Continuous graph Discrete graph 4.5 SWBAT write equations that represent functions 4.6 SWBAT determine whether a relation is a function / to find domain and range and use function notation 4.7 SWBAT identify and extend patterns in sequences / to represent arithmetic sequences using function notations Domain Function notation Range Relation Sequence A- CED.2, A- CED.3, A- REI.10, F- IF.1, F- IF.2, F- IF.3, F- IF.5, F- IF.6, F- IF.9, F- BF.1, F- BF.2, 8F1, 8F2, 8F3, 8F4, 8F5

5 Topic 5 Linear Functions 1.5 Weeks Summative Topic Test: SWBAT use ratios to show a relationship between changing quantities, such as vertical and horizontal change; represent a linear equation and know the forms slope-intercept; point-slope, and standard forms; determine the relationship between two lines by comparing their slopes and y-intercepts; quickly graph absolute value equations by shifting the graph of y = x ;graph two sets of numerical data as ordered pairs, if sets are related, a line on the graph will be used to estimate or predict values. 5-1 SWBAT find rates of change from tables / to find slope Rate of Change Slope 5-2 SWBAT write and graph an equation of a direct variation Direct Variation 5-3 SWBAT write linear equations using slope-intercept form / to graph linear equations in slope-intercept form Linear Equation Slope-intercept form y-intercept 5-4 SWBAT write and graph linear equations using point-linear form Point-slant Form 5-5 SWBAT graph linear equations using intercepts / to write linear equations in standard form Standard Form x-intercept 5-6 SWBAT determine whether lines are parallel, perpendicular, or neither / to write equations of parallel lines and perpendicular lines Parallel Lines Perpendicular Lines 5-7 SWBAT write and equation of a trend line and of a line of best fit / to use a trend line and a line of best fit to make predictions Trend Line 5-8 SWBAT graph an absolute value function / to translate the graph of an absolute value function A- SSE.1, A- SSE.2, A- SSE.3, A- REI.3, A- APR.1, A- APR.7

6 Topic 6 Systems of Equations and Inequalities 1.5 Weeks Summative Topic Test: SWBAT use systems of linear equations to model problems using graphing, substitution, or eliminating a variable; Represent the solutions of a system of linear inequality by the region where the graphs of the individual inequalities overlap; solve problems by modeling systems of linear equations; represent solution to a linear inequality in two variables in the coordinate plane as the set of all points on one side of a boundary line; represent the solutions of a system of linear inequalities by the region where the graphs of the individual inequalities overlap. 6-1 SWBAT solve systems of equations by graphing / to analyze special systems Consistent Dependent Inconsistent Independent Solution of a system of linear equations 6-2 SWBAT solve systems of equations using substitution Substitution method 6-3 SWBAT solve systems by adding or subtracting to eliminate a variable Elimination method 6-4 SWBAT choose the best method for solving a system of linear equations 6-5 SWBAT graph linear inequalities in two variables / to use linear inequalities Linear Inequalities when modeling real-world situations 6-6 SWBAT solve systems of linear inequalities by graphing / to model real-world situations using systems of linear inequalities A- CED.2, A- CED.3, A- CED.4, A- REI.1, A- REI.3, A- REI.5, A- REI.6, A- REI.10, A- REI.12, 8EE.8 Solution of an inequality Solution of a system of linear inequalities

7 Topic 7 Exponents and Exponential Functions 2 Weeks Summative Topic Test: SWBAT extend the idea of exponents to include zero and negative exponents; use Scientific Notation as a shorthand way to write numbers using powers of 10;use properties of exponents to simplify products or quotients of powers with the same base or powers raised to a power or products raised to a power; develop important families of functions through transformations of the simplest form of the function. Performance Assessment: SWBAT 7-1 SWBAT simplify expressions involving zero and negative exponents 7-2 SWBAT write numbers in scientific and standard notation / compare and order numbers using scientific notation Scientific Notation 7-3 SWBAT multiply powers to the same base 7-4 SWBAT raise a power to a power / to raise a product to a power 7-5 SWBAT divide powers with the same base / raise a quotient to a power 7-6 SWBAT evaluate and graph exponential functions Exponential function 7-7 SWBAT model exponential growth and decay Compound Interest Decay Factor Exponential decay Exponential Growth Growth Factor NS.1, NS.2, EE.1, EE.2, EE.3, EE.4

8 Topic 8 Polynomials and Factoring 1.5 Weeks Summative Topic Test: SWBAT use monomials to form larger polynomial expressions; add and subtract polynomials; find the product of two binomials by using models, algebra and tables; factor trinomials in equivalent forms which are the product of two binomials; Use the property of real numbers to multiply a monomial by a polynomial or simplify the product of binomials; use the properties of real numbers factor trinomials. Performance Assessment: SWBAT 8-1 SWBAT classify, add, and subtract polynomials Binomial Degree of a monomial Degree of a polynomial Monomial Polynomial Standard form of a polynomial Trinomial 8-2 SWBAT multiply a monomial by a polynomial / factor a monomial from a polynomial 8-3 SWBAT multiply two binomials or a binomial by a trinomial 8-4 SWBAT find the square of a binomial and find the product of a sum and difference 8-5 SWBAT factor trinomials of the form x 2 + bx +c 8-6 SWBAT factor trinomials of the form ax 2 + bx + c 8-7 SWBAT factor perfect-square trinomials and the differences of two squares Difference of two squares Perfect-square trinomial 8-8 SWBAT factor higher-degree polynomials by grouping Factoring by grouping A- SSE.1, A- SSE.2, A- SSE.3, A- APR.1, A- APR.7

9 Topic 9 Quadratic Functions and Equations 1.5 Weeks Summative Topic Test: SVBAT use the family of quadratic functions to model certain situations where the rate of change is not constant; graph by a symmetric curve with the highest or lowest point corresponding to a maximum or minimum value; Solve quadratic equations using graphing, finding the square root, using the Zero-Product Property or using the Quadratic formula; Solve systems of linear and quadratic equations graphically and algebraically; use linear, quadratic, or exponential functions to model various sets of data. Performance Assessment: SWBAT 9-1 SWBAT graph quadratic functions of the form y = ax 2 and y = ax 2 + c Axis of symmetry Maximum Minimum Parabola Quadratic Function Vertex 9-2 SWBAT graph quadratic functions of the form y = ax 2 + bx + c Quadratic Equation 9-3 SWBAT solve quadratic equations by graphing and using square roots Root of an Equation 9-4 SWBAT solve quadratic equations by factoring 9-5 SWBAT solve quadratic equations by completing the square Completing the Square 9-6 SWBAT solve quadratic equations using the quadratic formula / find the number of solutions of a quadratic equation 9-7 SWBAT choose a linear, quadratic, or exponential model for data 9-8 SWBAT solve systems of linear and quadratic equations A- SSE.1, A- SSE.2, A- SSE.3, A- REI.2, F- IF.1, F- IF.2, F- IF.3, F- IF.5, F- IF.6, F- IF.9, F- BF.1, F- BF.2 Discriminant Quadratic Formula

10 Topic 10 Radical Expressions and Equations 3 Weeks Summative Topic Test: SWBAT perform operations with radical expressions, which can be simplified using the multiplication and division properties of square roots; graph square root functions by plotting points or using translations of the parent square root function. Use sine, cosine, and tangent ratios to find the measurements of sides or angles of right triangles; use squaring both sides and testing solutions to solve some radical equations, Performance Assessment: SWBAT 10-1 SWBAT solve problems using the Pythagorean Theorem / identify right triangles Conditional Hypotenuse Pythagorean Theorem 10-2 SWBAT simplify radicals involving products and quotients Radical Expression 10-3 SWBAT simplify sums and differences of radical expressions / simplify products and quotients of radical expressions Conjugates Extraneous solution Like Radicals 10-4 SWBAT solve equations containing radicals / identify extraneous solutions 10-5 SWBAT graph square root functions / translate graphs of square root functions Square Root Function 10-6 SWBAT find and use trigonometric ratios Trigonometric ratios 8NS.2, 8G.6, 8G.7, 8G.8

11 Topic 11 Rational Expressions and Functions 2.5 Weeks Summative Topic Test: SWBAT simplify a rational expression; use addition, subtraction, multiplication and division on rational expressions and polynomials using the same properties used to multiply and divide numerical fractions; identify inverse variation; graph a rational function; solve a rational equation by first multiplying each side of the equation b the LCD; solve an equation using Cross Products Property. Performance Assessment: SWBAT 11-1 SWBAT simplify rational expressions Excluded Value Rational Expression 11-2 SWBAT multiply and divide rational expressions / simplify complex fractions 11-3 SWBAT divide polynomials 11-4 SWBAT add and subtract rational expressions 11-5 SWBAT solve rational equations and proportions Rational Equation 11-6 SWBAT write and graph equations for inverse variations / compare direct and inverse variations Constant variation for an inverse variation Inverse Variation 11-7 SWBAT graph rational functions Asymptote Rational Function A- SSE.1, A- SSE.2, A- SSE.3, A- REI.3, A- APR.1, A- APR.7

12 Topic 12 Data Analysis and Probability 2 Weeks Summative Topic Test: SWBAT used different measures to interpret and compare sets of data; accurately represent the situation when collecting data; Organize data in matrices or in intervals; separate data into subsets; use counting methods to find the number of possible ways to choose objects with and without regard to order; Utilize the probability of a compound event from expressions of the probabilities of simpler events SWBAT organize data in a matrix / add and subtract matrices and multiply a Matrix matrix by a scalar 12-2 SWBAT make and interpret frequency tables and histograms 12-3 SWBAT find mean, median, mode, and range Measure of Central Tendency Outlier 12-4 SWBAT make and interpret box-and-whisker plots / find quartiles and percentiles Quartile 12-5 SWBAT classify data and analyze samples and surveys 12-6 SWBAT find permutations and combinations Combination Permutation 12-7 SWBAT find theoretical and experimental probability Event Outcome Probability Sample Space 12-8 SWBAT find probabilities of mutually exclusive and overlapping events / find probabilities of independent and dependent events S- ID.1, S- ID.3, S- ID.7, S- ID.9, S- IC.2, S- IC.6, N- VM.6, N- VM.7, N- VM.8, N- VM.9, 8SP.1, 8SP.2, 8SP.3, 8SP.4

### How do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations?

Topic: Expressions, Equations and Functions Days: 13 Key Learning: Expressions, equations, tables and graphs are used to model realworld situations. Unit Essential Question(s): How do you write and evaluate

### 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

# %

### 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

### 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:

### 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

### 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.

### Observations Homework Checkpoint quizzes Chapter assessments (Possibly Projects) Blocks of Algebra

September The Building Blocks of Algebra Rates, Patterns and Problem Solving Variables and Expressions The Commutative and Associative Properties The Distributive Property Equivalent Expressions Seeing

### 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

### Algebra 2 Mississippi College- and Career- Readiness Standards for Mathematics RCSD Unit 1 Data Relationships 1st Nine Weeks

1 st Nine Weeks Algebra 2 Mississippi College- and Career- Readiness Standards for Mathematics Unit 1 Data Relationships Level 4: I can interpret key features of graphs and tables in terms of the quantities.

### Montgomery College algebra Equations & Problem Solving *Order of Operations & Simplifying Algebraic. Expressions

Where to go for help with the lessons in the I textbook: www.pearsonsuccessnet.com Username: student id number followed by scpsfl Password: YYYYMMDDscpsfl Click Student Resource Choose the chapter Choose

### 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

### 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

### Intermediate Algebra

Intermediate Algebra The purpose of this course is to strengthen students foundational conceptual and procedural skills in order to prepare students for college-and-career readiness. The course textbook,

### 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

### nonadjacent angles that lie on opposite sides of the transversal and between the other two lines.

WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):

### 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.

### 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

### 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

### 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.

### 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

### North Carolina MATH I (Traditional) Pacing Guide

North Carolina MATH I (Traditional) 2017-2018 Pacing Guide Note: The eight Standards for Mathematical Practice outlined by the Common Core describe the varieties of expertise that mathematics educators

### Algebra 2-DRAFT Curriculum Map Based on the 2011 MA Mathematics Frameworks

Unit 1: Functions, Operations on Functions and Transformations (with review of systems) Essential Questions: How do you most clearly represent the combination of two functions? What makes the graph of

### 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.

### Carrollton Exempted Village School District Carrollton, Ohio OHIO COMMON CORE STATE STANDARDS. Curriculum Map

Carrollton Exempted Village School District Carrollton, Ohio Curriculum Map Course Title: Algebra I Concepts Pacing: 10 days Academic Year: 2013-2014 Unit 1: Connections to Algebra Essential Questions:

### Intermediate Algebra 100A Final Exam Review Fall 2007

1 Basic Concepts 1. Sets and Other Basic Concepts Words/Concepts to Know: roster form, set builder notation, union, intersection, real numbers, natural numbers, whole numbers, integers, rational numbers,

### CK-12 Middle School Math Grade 8

CK-12 Middle School Math aligned with COMMON CORE MATH STATE STANDARDS INITIATIVE Middle School Standards for Math Content Common Core Math Standards for CK-12 Middle School Math The Number System (8.NS)

### Important Math 125 Definitions/Formulas/Properties

Exponent Rules (Chapter 3) Important Math 125 Definitions/Formulas/Properties Let m & n be integers and a & b real numbers. Product Property Quotient Property Power to a Power Product to a Power Quotient

### 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

### 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

### Course Text. Course Description. Course Objectives. Course Prerequisites. Important Terms. StraighterLine Introductory Algebra

Introductory Algebra Course Text Dugopolski, Mark. Elementary Algebra, 6th edition. McGraw-Hill, 2009. ISBN 9780077224790 [This text is available as an etextbook at purchase or students may find used,

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

### Algebra 2 Math Curriculum Pacing Guide (Revised 2017) Amherst County Public Schools. Suggested Sequence of Instruction and Pacing

Algebra 2 Math Curriculum Pacing Guide (Revised 2017) Amherst County Public Schools Suggested Sequence of Instruction and Pacing 1st 9-weeks Unit 1 - Solving Equations and Inequalities (including absolute

### 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

### 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

### 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

### Title Grade 8 Algebra I 2013

Title Grade 8 Algebra I 2013 Type Essential Document Map Authors Elizabeth Tucker, Deborah Baxter, Kristin Iacobino, Jane Feret, Caryn Trautz, Melissa Cosgrove, Jaclyn Thomas Subject Mathematics Course

### Common Core State Standards with California Additions 1 Standards Map. Algebra I

Common Core State s with California Additions 1 s Map Algebra I *Indicates a modeling standard linking mathematics to everyday life, work, and decision-making N-RN 1. N-RN 2. Publisher Language 2 Primary

### 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.

### 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.

### Smithtown Central School District 8 Honors Integrated Algebra Curriculum August 2007 诲꿬矑矓 矓 Ɉ

0 September Factors and Multiples Ratios Rates Ratio Tables Graphing Ratio Tables Problem Solving: The Four- Step Plan Equivalent Ratios Ratio/Rate Problems Decimals and Fractions Rates Complex Fractions

### 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,

### 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 +

### 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

### 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:

### Algebra II End of Course Exam Answer Key Segment I. Scientific Calculator Only

Algebra II End of Course Exam Answer Key Segment I Scientific Calculator Only Question 1 Reporting Category: Modeling & Problem Solving Common Core Standard: A-REI.4a: Solve quadratic equations in one

### Algebra I. 60 Higher Mathematics Courses Algebra I

The fundamental purpose of the course is to formalize and extend the mathematics that students learned in the middle grades. This course includes standards from the conceptual categories of Number and

### California Common Core State Standards for Mathematics Standards Map Algebra I

A Correlation of Pearson CME Project Algebra 1 Common Core 2013 to the California Common Core State s for Mathematics s Map Algebra I California Common Core State s for Mathematics s Map Algebra I Indicates

### 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

### An equation is a statement that states that two expressions are equal. For example:

Section 0.1: Linear Equations Solving linear equation in one variable: An equation is a statement that states that two expressions are equal. For example: (1) 513 (2) 16 (3) 4252 (4) 64153 To solve the

### 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

A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Acute triangle A triangle in which all three angles are acute Addends The

### Bellwood-Antis School District Curriculum Revised on 11/08/12

Course: Alg I Grade Level(s): 8 Bellwood-Antis School District Curriculum Revised on 11/08/12 Month Duration Common Core Standards/Anchors Content Assessment Instructional Activities Pre-Requisite Skills

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

### Sequence of Algebra 1 Units Aligned with the California Standards

Sequence of Algebra 1 Units Aligned with the California Standards Year at a Glance Unit Big Ideas Math Algebra 1 Textbook Chapters Dates 1. Equations and Inequalities Ch. 1 Solving Linear Equations MS

### GRADE 8 MATHEMATICS ACCELERATED STRAND: ALGEBRA 1

GRADE 8 MATHEMATICS ACCELERATED STRAND: ALGEBRA 1 Overview: Domains Seeing Structure in Expressions Arithmetic with Polynomials and Rational Functions Creating Equations Reasoning with Equations and Inequalities

### Georgia Standards of Excellence Curriculum Map. Mathematics. GSE Algebra I

Georgia Standards of Excellence Curriculum Map Mathematics GSE Algebra I These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. Georgia Department

### Algebra 2 with Trigonometry Mathematics: to Hoover City Schools

Jump to Scope and Sequence Map Units of Study Correlation of Standards Special Notes Scope and Sequence Map Conceptual Categories, Domains, Content Clusters, & Standard Numbers NUMBER AND QUANTITY (N)

### 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.

### Honors Algebra I. Course of Study

Honors Algebra I Course of Study Findlay City Schools 2007 Week Chapter Topic Indicators 1 n/a Review All previous grades 2 1 Expressions, Equations, and Functions 3 1 Expressions, Equations, and Functions

### 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.

### A4 Linear Equations & Inequalities in Two Variables 15 days. A5 Quadratic Functions. 5 days A-CED 2 A-CED 3 A-CED 4 A-REI 5 A-REI 6 A-REI 10 A-REI 12

TRADITIONAL Grade 9: Algebra One A0 Intro Unit 5 days A1 Modeling with Functions 15 days N-Q 1 N-Q 2 N-Q 3 F-IF 1 F-IF 2 F-IF 3 F-IF 4* F-IF 5* F-IF 9* F-LE 1 F-LE 1a,1b F-LE 3 F-LE 5 A2 Linear Functions

### 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

### 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...

### Dublin City Schools Mathematics Graded Course of Study Algebra I Philosophy

Philosophy The Dublin City Schools Mathematics Program is designed to set clear and consistent expectations in order to help support children with the development of mathematical understanding. We believe

### Semester Review Packet

MATH 110: College Algebra Instructor: Reyes Semester Review Packet Remarks: This semester we have made a very detailed study of four classes of functions: Polynomial functions Linear Quadratic Higher degree

### 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

### 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,

### 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

### Mathematics Standards for High School Algebra I

Mathematics Standards for High School Algebra I Algebra I is a course required for graduation and course is aligned with the College and Career Ready Standards for Mathematics in High School. Throughout

### STEM-Prep Pathway SLOs

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

### 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

### Mathematics. Algebra I (PreAP, Pt. 1, Pt. 2) Curriculum Guide. Revised 2016

Mathematics Algebra I (PreAP, Pt. 1, Pt. ) Curriculum Guide Revised 016 Intentionally Left Blank Introduction The Mathematics Curriculum Guide serves as a guide for teachers when planning instruction and

### 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

### 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.

### PA Core Standards For Mathematics Curriculum Framework Algebra 1

Rational Represent /or use numbers CC.2.1.HS.F.1 A1.1.1.1.1 Irrational in equivalent forms (integers, CC.2.1.HS.F.2 A1.1.1.1.2 Numbers fractions, decimals, percent s, A1.1.1.3.1 square roots, exponents).

### Curriculum Catalog. Algebra II Glynlyon, Inc Released

Curriculum Catalog Algebra II 2011 Glynlyon, Inc Released 4-1-11 Welcome to Switched-On Schoolhouse! We are excited that you are including Switched-On Schoolhouse as part of your program of instruction,

### , 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

### MATH98 Intermediate Algebra Practice Test Form A

MATH98 Intermediate Algebra Practice Test Form A MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (y - 4) - (y + ) = 3y 1) A)

### 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

### 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,

### High School Math. Grades Scope and Sequence

High School Units-All-03feb12.docx High School Math Grades 9 11 Scope and Sequence High School Units-All-03feb12.docx TRADITIONAL Grade 9 Algebra One A0 Introductory Unit 5 days 5 A1 Modeling with Functions

### 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

### Essential Learning Outcomes for Algebra 2

ALGEBRA 2 ELOs 1 Essential Learning Outcomes for Algebra 2 The following essential learning outcomes (ELOs) represent the 12 skills that students should be able to demonstrate knowledge of upon completion

### Undergraduate Notes in Mathematics. Arkansas Tech University Department of Mathematics. College Algebra for STEM

Undergraduate Notes in Mathematics Arkansas Tech University Department of Mathematics College Algebra for STEM Marcel B. Finan c All Rights Reserved 2015 Edition To my children Amin & Nadia Preface From

### Degree of a polynomial

Variable Algebra Term Polynomial Monomial Binomial Trinomial Degree of a term Degree of a polynomial Linear A generalization of arithmetic. Letters called variables are used to denote numbers, which are

### Math. Algebra II. Curriculum Guide. Clovis Municipal Schools. e ed Spring 201

Math Curriculum Guide Clovis Municipal Schools Algebra II e ed Spring 201 ALGEBRA II/ Pre-AP Algebra II COMMON CORE STANDARDS 1st Nine Weeks Create equations that describe numbers or relationships A-CED.4

### Tennessee s State Mathematics Standards - Algebra I

Domain Cluster Standards Scope and Clarifications Number and Quantity Quantities The Real (N Q) Number System (N-RN) Use properties of rational and irrational numbers Reason quantitatively and use units

### PA Core Standards For Mathematics 2.2 Algebraic Concepts PreK-12

Addition and Represent addition and subtraction with CC.2.2.PREK.A.1 Subtraction objects, fingers, mental images, and drawings, sounds, acting out situations, verbal explanations, expressions, or equations.

### Worksheet Topic 1 Order of operations, combining like terms 2 Solving linear equations 3 Finding slope between two points 4 Solving linear equations

Worksheet Topic 1 Order of operations, combining like terms 2 Solving linear equations 3 Finding slope between two points 4 Solving linear equations 5 Multiplying binomials 6 Practice with exponents 7

### 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

### Throughout Algebra II, students should continue to develop proficiency with the Common Core's eight Standards for Mathematical Practice:

In Algebra I, students have already begun their study of algebraic concepts. They have used equations, tables, and graphs to describe relationships between quantities, with a particular focus on linear,

### STUDY GUIDE Math 20. To accompany Intermediate Algebra for College Students By Robert Blitzer, Third Edition

STUDY GUIDE Math 0 To the students: To accompany Intermediate Algebra for College Students By Robert Blitzer, Third Edition When you study Algebra, the material is presented to you in a logical sequence.

### Bridge to Algebra II Standards for Mathematical Practice

Bridge to Algebra II Standards for Mathematical Practice The Standards for Mathematical Practices are to be interwoven and should be addressed throughout the year in as many different units and tasks as

### 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.

### Solving Equations Quick Reference

Solving Equations Quick Reference Integer Rules Addition: If the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the numbers and keep the sign of the number

### 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

### SpringBoard Algebra 1 Correlations Crosswalk to New Louisiana Standards

SpringBoard Algebra 1 Correlations Crosswalk SpringBoard Algebra 1 Correlations Crosswalk to New Louisiana Stards N: Number Quantity N: Number Quantity N: Number Quantity N: Number Quantity Domain Cluster

### Basic ALGEBRA 2 SUMMER PACKET

Name Basic ALGEBRA SUMMER PACKET This packet contains Algebra I topics that you have learned before and should be familiar with coming into Algebra II. We will use these concepts on a regular basis throughout