# ALGEBRA I (Created 2014) Amherst County Public Schools

Size: px
Start display at page:

Transcription

1 ALGEBRA I (Created 2014) Amherst County Public Schools The 2009 Mathematics Standards of Learning Curriculum Framework is a companion document to the 2009 Mathematics Standards of Learning and amplifies the Mathematics Standards of Learning by defining the content knowledge, skills, and understandings that are measured by the Standards of Learning assessments. The Curriculum Framework provides additional guidance to school divisions and their teachers as they develop an instructional program appropriate for their students. It assists teachers in their lesson planning by identifying essential understandings, defining essential content knowledge, and describing the intellectual skills students need to use. This supplemental framework delineates in greater specificity the content that all teachers should teach and all students should learn. Each topic in the Mathematics Standards of Learning Curriculum Framework is developed around the Standards of Learning. The format of the Curriculum Framework facilitates teacher planning by identifying the key concepts, knowledge and skills that should be the focus of instruction for each standard. The Curriculum Framework is divided into two columns: Essential Understandings and Essential Knowledge and Skills. The purpose of each column is explained below. The Curriculum Framework serves as a guide for Standards of Learning assessment development. Assessment items may not and should not be a verbatim reflection of the information presented in the Curriculum Framework. Students are expected to continue to apply knowledge and skills from Standards of Learning presented in previous grades as they build mathematical expertise. Virginia Department of Education ( Textbook Overview Course Text: Algebra I, Holt McDougal, 2012

2 Suggested Sequence of Instruction and Pacing First Nine Weeks SOL Chapter/Sections/Topic Time Frame (Tentative) Pre-Requisite Skills Numbers / Number Sense 2 Days A.1 Verbal Expressions 3 Days A.1, A.4b, A.5b Properties, Simplifying Expressions 8 Days A.4d Solving Equations 10 Days A.5a Solving Inequalities 3 Days A.4a Literal Equations 3 Days A.4f, A.5c Word Problems 4 Days A.4a Linear Equations (solving for y)* 3 Days A.7b Graphing Point on Coordinate Plane/Domain and Range* 3 Days Review/Testing 6-8 Days 45 Days *Due to threat of inclement weather, linear equations (solving for y), graphing points, and domain and range should be covered in the first nine weeks, but will be assessed on the 2 nd Nine Weeks.

3 Second Nine Weeks SOL Chapter/Sections/Topic Time Frame (Tentative) A.7 Functions 3-4 Days A.7 (e) Graphing Lines from a Table 4 Days A.6 (a) Slope 4-5 Days A.6 (a) Graphing Lines from Slope and Intercept 4 Days A.6 (b) Writing the Equation of a Line 5 Days A.8 Direct & Inverse Variation 3 Days A.6 (a,b) Linear Inequalities 4 Days A.4 (e) Systems of Equations, Intro and Solve by Graphing # 4 Days A.4 (e) Systems of Equations by Substitution # 4 Days Review and Testing 8 Days 45 Days # = Because of typical inclement weather in the third nine weeks, these items will be presented in the 2 nd nine weeks but tested in the 3 rd.

4 Third Nine Weeks SOL Chapter/Sections/Topic Time Frame (Tentative) A.4 (e) Systems of Equations by Elimination 6-7 Days A.5 (d) Systems of Inequalities 4 Days A.2 (a) Exponent Rules 10 Days A.2 (b) Operations with Polynomials 10 Days A.2 (c) Factoring numbers, expressions of the form x 2 + bx + c 3 Days Review / Testing (less total days because of typical inclement weather during this time) 4-6 Days 40 Days

5 Fourth Nine Weeks SOL Chapter/Sections/Topic Time Frame (Tentative) A.2 (c) Factoring Expression of the form ax 2 + bx + c 5 days A.3 Simplifying Square Roots and Cube Roots 4 6 days A.4 (c) Quadratic Equations 5 7 days A.9, A.10, A.11 Statistics 7 10 days Practice SOL Exam (Most Recent Released Exam) Review for SOL Exam Remediation / Extra Topics as Determined by Teacher 2 Days 7-10 Days 5-8 Days 45 Days

6 First Nine Weeks Instruction SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary 1.2, 1.3, 1.4, 1.5, 1.6 Glencoe Student Workbook Sec. 1-2 Rational number Integer All Real Numbers Order of Operations A.1 The student will represent verbal 1.1 Glencoe Student Write the following verbal expression as Expression quantitative situations algebraically Workbook Sec 1-1 algebraic. Quantitative Write the following algebraic expression Representation as verbal. Absolute value Variable A.1 and evaluate these Glencoe Student What is the value of the following Replacement value expressions for given replacement Workbook Sec 1-5 expression when? Square root values of the variables. Find the value of three more than twice Cube root a number when the number is 2. A.4 (b) The student will solve multistep 1.7 Glencoe Student Name each property used to simplify the Associative Property linear and quadratic equations in two Workbook Sec 1-3 expression. Commutative Property variables, including justifying steps used Which property is shown from line 3 to Distributive Property

7 SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary in simplifying expressions and solving line 4? Equality Properties equations, using field properties and Name each property used to solve the Identity Properties axioms of equality that are valid for the equation. Inverse Properties set of real numbers and its subsets Simplify the Expression Simplify Which expression is in simplified form? Combine Like Terms A.5 (b) The student will solve multistep What would be the next line if the Division Property of linear inequalities in two variables, Division Property of Inequality is used? Inequality including justifying steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers and its subsets; A.4 (d) The student will solve multistep 2-1, 2-2, 2- Glencoe Student Find the solution to the equation. Solve linear and quadratic equations in two 3, 2-4, 2-7 Workbook Sec 2- Which is the solution for? Solution variables, including solving multistep 2, 2-3, and 2-4 linear equations algebraically and graphically A.5 (a) The student will solve multistep 3-2, 3-3, 3- Glencoe Student Find the solution to the inequality. Inequality linear inequalities in two variables, 4, 3-5 Workbook Sec 5-1, Which is the solution for? Linear Inequality including solving multistep linear 5-2, and 5-3

8 SOL Covered inequalities algebraically and graphically; Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary A.4 (a) The student will solve multistep 2-5 Glencoe Workbook Solve the equation for. Literal linear and quadratic equations in two Sec 2-8 Rewrite the following formula in terms of Formula variables, including solving literal. equations (formulas) for a given variable A.4 (f) The student will solve multistep linear and quadratic equations in two variables, including solving real-world problems involving equations and systems of equations. A.5 (c) The student will solve multistep linear inequalities in two variables, including solving real-world problems involving inequalities; 2-1, 2-2, 2-3, 2-4, and , 3-3, 3-4, and 3-5 Glencoe Workbook Sec 2-2, 2-3, and 2-4 Teacher created materials Glencoe Workbook Sec 5-1, 5-2, and 5-3

9 SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary A.4 (a) The student will solve multistep Solving for y Teacher created Solve for y Slope Intercept Form linear and quadratic equations in two materials and Put the equation into slope-intercept variables, including solving literal Infinite Algebra form. equations (formulas) for a given variable Software. A.7 (b) The student will investigate and 4-1 and 4-2 Glencoe Workbook What is the domain/range of the Domain analyze function (linear and quadratic) Sec 1-6 function? Range families and their characteristics both Given the domain x={.}, find the Dependent variable algebraically and graphically, including range of the function. Independent variable domain and range.

10 Second Nine Weeks Instruction SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary A.7 The student will investigate and 4-3 Glencoe Workbook Which is/is not a function? Function analyze function (linear and quadratic) Sec 1-7 and 3-1 Given f(x), find f(n). Function notation families and their characteristics both algebraically and graphically A.7 (e) The student will investigate and 4-4 Glencoe Workbook Graph the function using a table. Table of values analyze function (linear and quadratic) Sec 1-7 and 3-1 Given the following domain, find the families and their characteristics both range to draw the line. algebraically and graphically, including Plot three points that would lie on the finding the values of a function for function y =.. elements in its domain A.6 (a) The student will graph linear 5-3 and 5-4 Glencoe Workbook Find the slope of the line. Slope equations and linear inequalities in two Sec 3-3 Which graph(s) have Rise over Run variables, including determining the positive/negative/zero/undefined Rate of Change

11 SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined A.6 (a) The student will graph linear equations and linear inequalities in two variables, including determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined A.6 (b) The student will graph linear equations and linear inequalities in two variables, including writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line. slope(s) Given the slope m = a/b, which point would lie on the line with (x, y) Use the slope and y-intercept to graph the line. Which line shows y = Which line has a slope of and goes through the point (0, y)? Write the equation of the line that goes through (x, y) and has a slope of m = - a/b. Write the equation of the line that contains the points (x 1, y 1 ) and (x 2, y 2 ) Change in y over Change in x Undefined slope Positive/negative slope y-intercept Slope intercept form Point slope form

12 SOL Covered A.8 The student, given a situation in a real-world context, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically. Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary A.6 (a, b) The student will graph linear equations and linear inequalities in two variables, including determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined and writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line. Which graph has the correct region shaded? Graph the following inequality. Dashed line greater than, less than Solid line greater/less than or equal to

13 SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary A.4 (e) The student will solve multistep linear and quadratic equations in two variables, including solving systems of two linear equations in two variables algebraically and graphically A.4 (e) The student will solve multistep linear and quadratic equations in two variables, including solving systems of two linear equations in two variables algebraically and graphically Find the solution to the system of equations by graphing them. Use substitution to find the solution to the system of equations System of Equations Point of Intersection No Solution Infinite Solutions

14 Third Nine Weeks Instruction SOL Covered A.4 (e) The student will solve multistep linear and quadratic equations in two variables, including solving systems of two linear equations in two variables algebraically and graphically A.5 (d) The student will solve multistep linear inequalities in two variables, including solving systems of inequalities Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary Use elimination to find the solution to the system of equations. Find the solution to the system of inequalities. Shade the region that contains the solutions to the system of inequalities. A.2 (a) The student will perform operations on polynomials, including applying the laws of exponents to perform operations on expressions; A.2 (b) The student will perform operations on polynomials, including adding, subtracting, multiplying, and dividing polynomials Simplify the expression. Which is equivalent to.? Which is the (sum/difference/ product/quotient) of and? Multiplication Rule Division Rule Power Rule Negative Exponent Monomial Polynomial Binomial Trinomial

15 SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary FOIL Difference of Squares Perfect Square Trinomial A.2 (c) The student will perform operations on polynomials, including factoring completely first- and seconddegree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations Factor completely. Find all of the factors of.

16 Fourth Nine Weeks Instruction SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary A.2 (c) The student will perform operations on polynomials, including factoring completely first- and seconddegree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations A.3 The student will express the square roots and cube roots of whole numbers and the square root of a monomial algebraic expression in simplest radical form. Factor completely. Find all of the factors of. Which is the simplified form of? Find the simplest form of.. Greatest Common Factor Simplest radical form Simplified Cube Root

17 SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary A.4 (c) The student will solve multistep linear and quadratic equations in two variables, including solving quadratic equations algebraically and graphically Find the solution(s) for the equation Quadratic Equation Roots Zeros Solutions x-intercepts Vertex A.9 The student, given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z-scores Find the mean/variance/standard deviation/mean absolute deviation for the following set of data. Which data set is the most varied? Which person did better relative to their own class? Mean Standard deviation Variance Mean Absolute Deviation z-score Standardize A.10 The student will compare and contrast multiple univariate data sets, using box-and-whisker plots Which group has a smallest/largest median/iqr/range/lower quartile/upper quartile? If the point (x) were added to the data set, what would happen to the Interquartile range Minimum Value Lower Quartile Median Upper Quartile

18 SOL Covered Textbook Chapter and Section Resources Essential Questions / Skills Vocabulary median/iqr/? Maximum Value Range A.11 The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions Find the line or curve of best fit using the calculator. Use your line/curve to estimate the value of y when given some x. Line of Best Fit Curve of Best Fit Predict Estimate

19 Instructional Example Questions A.1 The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables. A.2 The student will perform operations on polynomials, including a) applying the laws of exponents to perform operations on expressions A.2 The student will perform operations on polynomials, including b) adding, subtracting, multiplying, and dividing polynomials

20 A.2 The student will perform operations on polynomials, including c) factoring completely first- and second-degree binomials and trinomials in one or two variables. Graphing calculators will be used as a tool for factoring and for confirming algebraic factorizations. A.3 The student will express the square roots and cube roots of whole numbers and the square root of a monomial algebraic expression in simplest radical form

21 A.4 The student will solve multistep linear and quadratic equations in two variables, including a) solving literal equations (formulas) for a given variable; A.4 The student will solve multistep linear and quadratic equations in two variables, including b) justifying steps used in simplifying expressions and solving equations, using field properties and axioms of equality that are valid for the set of real numbers and its subsets

22 A.4 The student will solve multistep linear and quadratic equations in two variables, including c) solving quadratic equations algebraically and graphically A.4 The student will solve multistep linear and quadratic equations in two variables, including d) solving multistep linear equations algebraically and graphically; A.4 The student will solve multistep linear and quadratic equations in two variables, including e) solving systems of two linear equations in two variables algebraically and graphically;

23 A.4 The student will solve multistep linear and quadratic equations in two variables, including f) solving real-world problems involving equations and systems of equations A.5 The student will solve multistep linear inequalities in two variables, including a) solving multistep linear inequalities algebraically and graphically A.5 The student will solve multistep linear inequalities in two variables, including b) justifying steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers and its subsets

24 A.5 The student will solve multistep linear inequalities in two variables, including c) solving real-world problems involving inequalities A.5 The student will solve multistep linear inequalities in two variables, including d) solving systems of inequalities

25 A.6 The student will graph linear equations and linear inequalities in two variables, including a) determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined A.6 The student will graph linear equations and linear inequalities in two variables, including b) writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line Write the equation of the line for each example.

26 A.7 The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including a) determining whether a relation is a function A.7 The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including b) domain and range;

27 A.7 The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including c) zeros of a function; A.7 The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including d) x- and y-intercepts;

28 A.7 The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including e) finding the values of a function for elements in its domain; A.7 The student will investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including f) making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic

29 A.8 The student, given a situation in a real-world context, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically A.9 The student, given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z- scores

30 A.10 The student will compare and contrast multiple univariate data sets, using box-and-whisker plots

31 A.11 The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions

### Mathematics Online Instructional Materials Correlation to the 2009 Algebra I Standards of Learning and Curriculum Framework

Provider York County School Division Course Syllabus URL http://yorkcountyschools.org/virtuallearning/coursecatalog.aspx Course Title Algebra I AB Last Updated 2010 - A.1 The student will represent verbal

### Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression

### Algebra 1 Course Information

Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through

### Successful completion of Math 7 or Algebra Readiness along with teacher recommendation.

MODESTO CITY SCHOOLS COURSE OUTLINE COURSE TITLE:... Basic Algebra COURSE NUMBER:... RECOMMENDED GRADE LEVEL:... 8-11 ABILITY LEVEL:... Basic DURATION:... 1 year CREDIT:... 5.0 per semester MEETS GRADUATION

### Algebra 2 Year-at-a-Glance Leander ISD 2007-08. 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks

Algebra 2 Year-at-a-Glance Leander ISD 2007-08 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks Essential Unit of Study 6 weeks 3 weeks 3 weeks 6 weeks 3 weeks 3 weeks

### LAKE ELSINORE UNIFIED SCHOOL DISTRICT

LAKE ELSINORE UNIFIED SCHOOL DISTRICT Title: PLATO Algebra 1-Semester 2 Grade Level: 10-12 Department: Mathematics Credit: 5 Prerequisite: Letter grade of F and/or N/C in Algebra 1, Semester 2 Course Description:

### Vocabulary Words and Definitions for Algebra

Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms

### CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA

We Can Early Learning Curriculum PreK Grades 8 12 INSIDE ALGEBRA, GRADES 8 12 CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA April 2016 www.voyagersopris.com Mathematical

### MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab

MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring non-course based remediation in developmental mathematics. This structure will

### HIBBING COMMUNITY COLLEGE COURSE OUTLINE

HIBBING COMMUNITY COLLEGE COURSE OUTLINE COURSE NUMBER & TITLE: - Beginning Algebra CREDITS: 4 (Lec 4 / Lab 0) PREREQUISITES: MATH 0920: Fundamental Mathematics with a grade of C or better, Placement Exam,

### CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

### Florida Math for College Readiness

Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness

### Indiana State Core Curriculum Standards updated 2009 Algebra I

Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and

### Polynomial Operations and Factoring

Algebra 1, Quarter 4, Unit 4.1 Polynomial Operations and Factoring Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned Identify terms, coefficients, and degree of polynomials.

### Course Outlines. 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit)

Course Outlines 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit) This course will cover Algebra I concepts such as algebra as a language,

### How To Understand And Solve Algebraic Equations

College Algebra Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 978-0-07-286738-1 Course Description This course provides

### Algebra I. In this technological age, mathematics is more important than ever. When students

In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,

### DRAFT. Algebra 1 EOC Item Specifications

DRAFT Algebra 1 EOC Item Specifications The draft Florida Standards Assessment (FSA) Test Item Specifications (Specifications) are based upon the Florida Standards and the Florida Course Descriptions as

### Prentice Hall Mathematics, Algebra 1 2009

Prentice Hall Mathematics, Algebra 1 2009 Grades 9-12 C O R R E L A T E D T O Grades 9-12 Prentice Hall Mathematics, Algebra 1 Program Organization Prentice Hall Mathematics supports student comprehension

### Algebra 1 Course Title

Algebra 1 Course Title Course- wide 1. What patterns and methods are being used? Course- wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

### Algebra 1. Curriculum Map

Algebra 1 Curriculum Map Table of Contents Unit 1: Expressions and Unit 2: Linear Unit 3: Representing Linear Unit 4: Linear Inequalities Unit 5: Systems of Linear Unit 6: Polynomials Unit 7: Factoring

### Brunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 2014-2015 school year.

Brunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 2014-2015 school year. Goal The goal of the summer math program is to help students

### Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

### Florida Math 0028. Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper

Florida Math 0028 Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper Exponents & Polynomials MDECU1: Applies the order of operations to evaluate algebraic

### Math 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction

Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a

### Keystone Exams: Algebra I Assessment Anchors and Eligible Content. Pennsylvania

Keystone Exams: Algebra I Assessment Anchors and Pennsylvania Algebra 1 2010 STANDARDS MODULE 1 Operations and Linear Equations & Inequalities ASSESSMENT ANCHOR A1.1.1 Operations with Real Numbers and

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### South Carolina College- and Career-Ready (SCCCR) Algebra 1

South Carolina College- and Career-Ready (SCCCR) Algebra 1 South Carolina College- and Career-Ready Mathematical Process Standards The South Carolina College- and Career-Ready (SCCCR) Mathematical Process

### ALGEBRA 2: 4.1 Graph Quadratic Functions in Standard Form

ALGEBRA 2: 4.1 Graph Quadratic Functions in Standard Form Goal Graph quadratic functions. VOCABULARY Quadratic function A function that can be written in the standard form y = ax 2 + bx+ c where a 0 Parabola

### Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District

Benchmark: MA.912.A.2.3; Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Also assesses MA.912.A.2.13; Solve

### What are the place values to the left of the decimal point and their associated powers of ten?

The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything

### MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

### Answer Key for California State Standards: Algebra I

Algebra I: Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences.

### ALGEBRA 2 CRA 2 REVIEW - Chapters 1-6 Answer Section

ALGEBRA 2 CRA 2 REVIEW - Chapters 1-6 Answer Section MULTIPLE CHOICE 1. ANS: C 2. ANS: A 3. ANS: A OBJ: 5-3.1 Using Vertex Form SHORT ANSWER 4. ANS: (x + 6)(x 2 6x + 36) OBJ: 6-4.2 Solving Equations by

### BookTOC.txt. 1. Functions, Graphs, and Models. Algebra Toolbox. Sets. The Real Numbers. Inequalities and Intervals on the Real Number Line

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, 3rd Edition Ronald J. Harshbarger, University of South Carolina - Beaufort Lisa S. Yocco, Georgia Southern University

### Wentzville School District Algebra 1: Unit 8 Stage 1 Desired Results

Wentzville School District Algebra 1: Unit 8 Stage 1 Desired Results Unit Title: Quadratic Expressions & Equations Course: Algebra I Unit 8 - Quadratic Expressions & Equations Brief Summary of Unit: At

### Algebra 1 If you are okay with that placement then you have no further action to take Algebra 1 Portion of the Math Placement Test

Dear Parents, Based on the results of the High School Placement Test (HSPT), your child should forecast to take Algebra 1 this fall. If you are okay with that placement then you have no further action

### Chesapeake College. Syllabus. MAT 031 Elementary Algebra (silcox87517) John H. Silcox

Chesapeake College Syllabus MAT 031 Elementary Algebra (silcox87517) John H. Silcox Phone 410-778-4540 (W) Phone 410-348-5370 (H) john.silcox@1972.usna.com Syllabus For MAT 031 I. OFFICE HOURS: One hour

### Prerequisite: MATH 0302, or meet TSI standard for MATH 0305; or equivalent.

18966.201610 COLLIN COLLEGE COURSE SYLLABUS Course Number: MATH 0305.XS1 Course Title: Beginning Algebra Course Description: With an emphasis on developing critical thinking skills, a study of algebraic

### Algebra Cheat Sheets

Sheets Algebra Cheat Sheets provide you with a tool for teaching your students note-taking, problem-solving, and organizational skills in the context of algebra lessons. These sheets teach the concepts

### Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any.

Algebra 2 - Chapter Prerequisites Vocabulary Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. P1 p. 1 1. counting(natural) numbers - {1,2,3,4,...}

### Anchorage School District/Alaska Sr. High Math Performance Standards Algebra

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,

### Mathematics Georgia Performance Standards

Mathematics Georgia Performance Standards K-12 Mathematics Introduction The Georgia Mathematics Curriculum focuses on actively engaging the students in the development of mathematical understanding by

### Algebra and Geometry Review (61 topics, no due date)

Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties

### This unit will lay the groundwork for later units where the students will extend this knowledge to quadratic and exponential functions.

Algebra I Overview View unit yearlong overview here Many of the concepts presented in Algebra I are progressions of concepts that were introduced in grades 6 through 8. The content presented in this course

### Manhattan Center for Science and Math High School Mathematics Department Curriculum

Content/Discipline Algebra 1 Semester 2: Marking Period 1 - Unit 8 Polynomials and Factoring Topic and Essential Question How do perform operations on polynomial functions How to factor different types

### 1.3 Algebraic Expressions

1.3 Algebraic Expressions A polynomial is an expression of the form: a n x n + a n 1 x n 1 +... + a 2 x 2 + a 1 x + a 0 The numbers a 1, a 2,..., a n are called coefficients. Each of the separate parts,

### Algebra I Credit Recovery

Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

### Examples of Tasks from CCSS Edition Course 3, Unit 5

Examples of Tasks from CCSS Edition Course 3, Unit 5 Getting Started The tasks below are selected with the intent of presenting key ideas and skills. Not every answer is complete, so that teachers can

### Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

### SUFFOLK COMMUNITY COLLEGE MATHEMATICS AND COMPUTER SCIENCE DEPARTMENT STUDENT COURSE OUTLINE Fall 2011

SUFFOLK COMMUNITY COLLEGE MATHEMATICS AND COMPUTER SCIENCE DEPARTMENT STUDENT COURSE OUTLINE Fall 2011 INSTRUCTOR: Professor Emeritus Donald R. Coscia OFFICE: Online COURSE: MAT111-Algebra II SECTION &

### MTH124: Honors Algebra I

MTH124: Honors Algebra I This course prepares students for more advanced courses while they develop algebraic fluency, learn the skills needed to solve equations, and perform manipulations with numbers,

### Algebra II. Weeks 1-3 TEKS

Algebra II Pacing Guide Weeks 1-3: Equations and Inequalities: Solve Linear Equations, Solve Linear Inequalities, Solve Absolute Value Equations and Inequalities. Weeks 4-6: Linear Equations and Functions:

### Alum Rock Elementary Union School District Algebra I Study Guide for Benchmark III

Alum Rock Elementary Union School District Algebra I Study Guide for Benchmark III Name Date Adding and Subtracting Polynomials Algebra Standard 10.0 A polynomial is a sum of one ore more monomials. Polynomial

### Algebra 2 PreAP. Name Period

Algebra 2 PreAP Name Period IMPORTANT INSTRUCTIONS FOR STUDENTS!!! We understand that students come to Algebra II with different strengths and needs. For this reason, students have options for completing

Polynomials and Quadratics Want to be an environmental scientist? Better be ready to get your hands dirty!.1 Controlling the Population Adding and Subtracting Polynomials............703.2 They re Multiplying

### NSM100 Introduction to Algebra Chapter 5 Notes Factoring

Section 5.1 Greatest Common Factor (GCF) and Factoring by Grouping Greatest Common Factor for a polynomial is the largest monomial that divides (is a factor of) each term of the polynomial. GCF is the

### Extra Credit Assignment Lesson plan. The following assignment is optional and can be completed to receive up to 5 points on a previously taken exam.

Extra Credit Assignment Lesson plan The following assignment is optional and can be completed to receive up to 5 points on a previously taken exam. The extra credit assignment is to create a typed up lesson

### Algebra II New Summit School High School Diploma Program

Syllabus Course Description: Algebra II is a two semester course. Students completing this course will earn 1.0 unit upon completion. Required Materials: 1. Student Text Glencoe Algebra 2: Integration,

### Prentice Hall MyMathLab Algebra 1, 2011

Prentice Hall MyMathLab Algebra 1, 2011 C O R R E L A T E D T O Tennessee Mathematics Standards, 2009-2010 Implementation, Algebra I Tennessee Mathematics Standards 2009-2010 Implementation Algebra I 3102

### Algebra II Unit Number 4

Title Polynomial Functions, Expressions, and Equations Big Ideas/Enduring Understandings Applying the processes of solving equations and simplifying expressions to problems with variables of varying degrees.

### ALGEBRA 2 Functions/Relations/Polynomial Operations 1A, 1B, 1C, 1D, 1E, 1F, 1G,2D, 7I, 7B, 7C

Unit 1 Unit 2 1) Domain/Range - Multiple Representations Interval Notation/Set Notation/Inequalities 2) Function notation, composite functions 3) Operations with Functions - Incude add/sub/multiply polynomials,

### Unit 7: Radical Functions & Rational Exponents

Date Period Unit 7: Radical Functions & Rational Exponents DAY 0 TOPIC Roots and Radical Expressions Multiplying and Dividing Radical Expressions Binomial Radical Expressions Rational Exponents 4 Solving

### Mathematics Placement

Mathematics Placement The ACT COMPASS math test is a self-adaptive test, which potentially tests students within four different levels of math including pre-algebra, algebra, college algebra, and trigonometry.

### Math Common Core Sampler Test

High School Algebra Core Curriculum Math Test Math Common Core Sampler Test Our High School Algebra sampler covers the twenty most common questions that we see targeted for this level. For complete tests

### MATH 60 NOTEBOOK CERTIFICATIONS

MATH 60 NOTEBOOK CERTIFICATIONS Chapter #1: Integers and Real Numbers 1.1a 1.1b 1.2 1.3 1.4 1.8 Chapter #2: Algebraic Expressions, Linear Equations, and Applications 2.1a 2.1b 2.1c 2.2 2.3a 2.3b 2.4 2.5

### Algebra Unpacked Content For the new Common Core standards that will be effective in all North Carolina schools in the 2012-13 school year.

This document is designed to help North Carolina educators teach the Common Core (Standard Course of Study). NCDPI staff are continually updating and improving these tools to better serve teachers. Algebra

### Requisite Approval must be attached

Requisite Approval must be attached CITRUS COMMUNITY COLLEGE DISTRICT DEPARTMENT Mathematics COURSE NUMBER MATH 148 TITLE Intermediate Algebra I THIS COURSE IS CLASSIFIED AS: DEGREE APPLICABLE UNIT VALUE

### Students will be able to simplify and evaluate numerical and variable expressions using appropriate properties and order of operations.

Outcome 1: (Introduction to Algebra) Skills/Content 1. Simplify numerical expressions: a). Use order of operations b). Use exponents Students will be able to simplify and evaluate numerical and variable

### 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: Algebraic Concepts & Procedures Common Core Standard: A-APR.3: Identify zeros of polynomials

### COLLEGE ALGEBRA LEARNING COMMUNITY

COLLEGE ALGEBRA LEARNING COMMUNITY Tulsa Community College, West Campus Presenter Lori Mayberry, B.S., M.S. Associate Professor of Mathematics and Physics lmayberr@tulsacc.edu NACEP National Conference

### 6.1 Add & Subtract Polynomial Expression & Functions

6.1 Add & Subtract Polynomial Expression & Functions Objectives 1. Know the meaning of the words term, monomial, binomial, trinomial, polynomial, degree, coefficient, like terms, polynomial funciton, quardrtic

### Mohawk Valley Community College MVCC MA115 Mr. Bauer

Mohawk Valley Community College MVCC MA115 Course description: This is a dual credit course. Successful completion of the course will give students 1 VVS Credit and 3 MVCC Credit. College credits do have

### CENTRAL TEXAS COLLEGE SYLLABUS FOR DSMA 0306 INTRODUCTORY ALGEBRA. Semester Hours Credit: 3

CENTRAL TEXAS COLLEGE SYLLABUS FOR DSMA 0306 INTRODUCTORY ALGEBRA Semester Hours Credit: 3 (This course is equivalent to DSMA 0301. The difference being that this course is offered only on those campuses

### 1) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-1) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = 7) (5)(-4) = 8) (-3)(-6) = 9) (-1)(2) =

Extra Practice for Lesson Add or subtract. ) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = Multiply. 7) (5)(-4) = 8) (-3)(-6) = 9) (-)(2) = Division is

### called and explain why it cannot be factored with algebra tiles? and explain why it cannot be factored with algebra tiles?

Factoring Reporting Category Topic Expressions and Operations Factoring polynomials Primary SOL A.2c The student will perform operations on polynomials, including factoring completely first- and second-degree

### McDougal Littell California:

McDougal Littell California: Pre-Algebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California Pre-Algebra Components: Pupil Edition (PE), Teacher s Edition (TE),

### 1.3 Polynomials and Factoring

1.3 Polynomials and Factoring Polynomials Constant: a number, such as 5 or 27 Variable: a letter or symbol that represents a value. Term: a constant, variable, or the product or a constant and variable.

### Name Intro to Algebra 2. Unit 1: Polynomials and Factoring

Name Intro to Algebra 2 Unit 1: Polynomials and Factoring Date Page Topic Homework 9/3 2 Polynomial Vocabulary No Homework 9/4 x In Class assignment None 9/5 3 Adding and Subtracting Polynomials Pg. 332

### 2.3. Finding polynomial functions. An Introduction:

2.3. Finding polynomial functions. An Introduction: As is usually the case when learning a new concept in mathematics, the new concept is the reverse of the previous one. Remember how you first learned

### The program also provides supplemental modules on topics in geometry and probability and statistics.

Algebra 1 Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students

### KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007

KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 4-47) Surveys and

### MTH 092 College Algebra Essex County College Division of Mathematics Sample Review Questions 1 Created January 17, 2006

MTH 092 College Algebra Essex County College Division of Mathematics Sample Review Questions Created January 7, 2006 Math 092, Elementary Algebra, covers the mathematical content listed below. In order

### Prentice Hall Mathematics: Algebra 2 2007 Correlated to: Utah Core Curriculum for Math, Intermediate Algebra (Secondary)

Core Standards of the Course Standard 1 Students will acquire number sense and perform operations with real and complex numbers. Objective 1.1 Compute fluently and make reasonable estimates. 1. Simplify

### South Carolina College- and Career-Ready (SCCCR) Pre-Calculus

South Carolina College- and Career-Ready (SCCCR) Pre-Calculus Key Concepts Arithmetic with Polynomials and Rational Expressions PC.AAPR.2 PC.AAPR.3 PC.AAPR.4 PC.AAPR.5 PC.AAPR.6 PC.AAPR.7 Standards Know

### expression is written horizontally. The Last terms ((2)( 4)) because they are the last terms of the two polynomials. This is called the FOIL method.

A polynomial of degree n (in one variable, with real coefficients) is an expression of the form: a n x n + a n 1 x n 1 + a n 2 x n 2 + + a 2 x 2 + a 1 x + a 0 where a n, a n 1, a n 2, a 2, a 1, a 0 are

### Functional Math II. Information CourseTitle. Types of Instruction

Functional Math II Course Outcome Summary Riverdale School District Information CourseTitle Functional Math II Credits 0 Contact Hours 135 Instructional Area Middle School Instructional Level 8th Grade

### Slope-Intercept Form of a Linear Equation Examples

Slope-Intercept Form of a Linear Equation Examples. In the figure at the right, AB passes through points A(0, b) and B(x, y). Notice that b is the y-intercept of AB. Suppose you want to find an equation

### Clovis Community College Core Competencies Assessment 2014 2015 Area II: Mathematics Algebra

Core Assessment 2014 2015 Area II: Mathematics Algebra Class: Math 110 College Algebra Faculty: Erin Akhtar (Learning Outcomes Being Measured) 1. Students will construct and analyze graphs and/or data

### March 2013 Mathcrnatics MATH 92 College Algebra Kerin Keys. Dcnnis. David Yec' Lscture: 5 we ekly (87.5 total)

City College of San Irrancisco Course Outline of Itecord I. GENERAI- DESCRIPI'ION A. Approval Date B. Departrnent C. Course Number D. Course Title E. Course Outline Preparer(s) March 2013 Mathcrnatics

### Prerequisites: TSI Math Complete and high school Algebra II and geometry or MATH 0303.

Course Syllabus Math 1314 College Algebra Revision Date: 8-21-15 Catalog Description: In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems

### Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks

Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson

### EQUATIONS and INEQUALITIES

EQUATIONS and INEQUALITIES Linear Equations and Slope 1. Slope a. Calculate the slope of a line given two points b. Calculate the slope of a line parallel to a given line. c. Calculate the slope of a line

### http://www.aleks.com Access Code: RVAE4-EGKVN Financial Aid Code: 6A9DB-DEE3B-74F51-57304

MATH 1340.04 College Algebra Location: MAGC 2.202 Meeting day(s): TR 7:45a 9:00a, Instructor Information Name: Virgil Pierce Email: piercevu@utpa.edu Phone: 665.3535 Teaching Assistant Name: Indalecio

### AMSCO S Ann Xavier Gantert

AMSCO S Integrated ALGEBRA 1 Ann Xavier Gantert AMSCO SCHOOL PUBLICATIONS, INC. 315 HUDSON STREET, NEW YORK, N.Y. 10013 Dedication This book is dedicated to Edward Keenan who left a profound influence