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

Size: px
Start display at page:

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

Transcription

1 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, fractions, mixed numbers, and decimals without the use of a calculator. Accurately place several given values in ascending order when the values are any mixture of whole numbers, integers, fractions, mixed numbers, and decimals. Currently using Trigsted, Bodden, & Gallaher text, Developmental Mathematics MATH 095: Units 1-6 are prerequisite skills for transfer course MATH 123, Math in Modern Society Unit 1: Unit 2: Unit 3: Unit 4: Unit 5: Unit 6: Basic Algebraic Equations, Solving Equations, Using Equations in Problem Solving, Equations Including Fractions & Decimals, Basic Geometry Formulas, and Mean, Median, & Mode. Ratios, Proportions, and Percents Real Numbers & Algebraic Expressions, and Linear Equations Inequalities in One Variable and Graphs of Linear Equations Exponents & Polynomials Factoring Polynomials Math 095: Units 7-12 (in addition to Units 1-6 above) are prerequisite skills for transfer courses MATH 143, College Algebra, MATH 147, Pre-calculus, or MATH 153, Elementary Statistics Unit 7: Unit 8: Unit 9: Unit 10: Unit 11: Unit 12: Inequalities in Two Variables, System of Linear Equations & Inequalities Rational Expressions & Equations Rational Equations, Introduction to Functions, and Radicals Radicals & Rational Exponents, Quadratic Equations/Functions Quadratic Equations & Functions, Transformations, Composites, and Inverses Exponential & Logarithmic Functions and Equations

2 MATH 095, College Prep Mathematics: Unit Coverage MATH 095: Units 1-6 are prerequisite skills for transfer course MATH 123, Math in Modern Society and MATH 095: Units 1-12 are prerequisite skills for transfer course MATH 143, College Algebra, MATH 147, Precalculus, and MATH 153, Elementary Statistics MATH 095: Units 1-6 are prerequisite skills for transfer course MATH 123, Math in Modern Society Unit 1: Basic Algebra Equations, Solving Equations, Using Equations in Problem-Solving, Equations Including Fractions & Decimals, Basic Geometry Formulas, and Mean, Median & Mode Determine if an integer is a solution to an equation. Use the addition property of equality to solve equations. Use the multiplication property of equality to solve equations. Identify terms, coefficients, and like terms. Combine like terms. Multiply algebraic expressions. Multiply expressions using the distributive property. Simplify algebraic expressions. Solve equations using both the addition and the multiplication properties of equality. Identify linear equations in one variable. Solve linear equations involving non-simplified expressions. Solve linear equations involving grouping symbols. Translate word statements into equations. Solve problems involving perimeter and area. Solve applications using linear equations. Determine if a fraction is a solution to an equation. Use the properties of equality to solve linear equations involving fractions. Solve linear equations by clearing fractions. Determine if a decimal is a solution to an equation. Use the properties of equality to solve linear equations involving decimals. Solve linear equations by clearing decimals. Use linear equations to solve application problems involving decimals. Find the perimeter and area of common polygons. Find the circumference and area of circles. Find the perimeter and area of figures formed from two or more common polygons. Solve applications involving perimeter, circumference, or area. Find the mean, median, and mode.

3 Unit 2: Ratios, Proportions, and Percents Write two quantities as a ratio or a rate. Find a unit rate. Compare unit prices. Write proportions. Determine whether proportions are true or false. Solve proportions. Use proportions to solve applications. Identify the corresponding parts of congruent triangles. Determine whether two triangles are congruent. Identify the corresponding parts of similar triangles. Find unknown lengths of sides in similar triangles. Solve applications involving similar triangles. Find square roots. Approximate square roots. Use the Pythagorean theorem. Solve applications using the Pythagorean theorem. Write percents as decimals and decimals as percents. Write percents as fractions and fractions as percents. Perform conversions among percents,decimals, and fractions. Translate word statements into percent equations. Solve percent equations. Write percent problems as proportions. Solve percent problems using proportions. Solve applications involving percents. Solve applications involving percent increase or percent decrease. Compute sales tax, overall price, and tax rates. Compute commission and commission rate. Compute discount, sale price, and discount rate. Compute simple interest. Compute compound interest. Unit 3: Real Numbers & Algebraic Expressions, and Linear Equations Classify real numbers. Plot real numbers on a number line. Find the opposite of a real number. Find the absolute value of a real number. Use inequality symbols to order real numbers. Translate word statements involving inequalities. Translate word statements involving addition or subtraction. Solve applications involving addition or subtraction of real numbers.

4 Unit 3 Continued: Real Numbers & Algebraic Expressions, and Linear Equations Translate word statements involving multiplication or division. Solve applications involving multiplication or division. Evaluate exponential expressions. Use the order of operations to evaluate numeric expressions. Evaluate algebraic expressions. Use the commutative and associative properties. Use the distributive property. Use the identity and inverse properties. Identify terms, coefficients, and like terms of an algebraic expression. Simplify algebraic expressions. Write word statements as algebraic expressions. Solve applied problems involving algebraic expressions. Identify linear equations in one variable. Determine if a given value is a solution to an equation. Solve linear equations using the addition property and the multiplication property of equality. Solve linear equations containing non-simplified expressions. Solve linear equations containing fractions or decimals. Identify contradictions and identities. Use linear equations to solve application problems. Translate sentences into equations. Use the problem solving strategy to solve direct translation problems. Solve problems involving related quantities, consecutive integers, or cost. Evaluate a formula. Find the value of a non-isolated variable in a formula. Solve a formula for a given variable. Use geometric formulas to solve applications. Solve problems involving geometry formulas. Solve problems involving angles. Solve problems involving uniform motion. Solve problems by using a percent equation. Solve percent problems involving discounts, markups, and sales tax. Solve percent of change problems. Solve mixture problems. Unit 4: Inequalities in One Variable and Graphs of Linear Equations Write the solution set of an inequality in set-builder notation. Graph the solution set of an inequality on a number line. Use interval notation to express the solution set of an inequality. Solve linear inequalities in one variable. Solve three-part inequalities.

5 Unit 4 Continued: Inequalities in One Variable and Graphs of Linear Equations Use linear inequalities to solve application problems. Find the union and intersection of two sets. Solve compound linear inequalities in one variable. Solve absolute value equations and inequalities. Read line graphs. Identify points in the rectangular coordinate system. Plot ordered pairs in the rectangular coordinate system. Create scatter plots. Determine if an ordered pair is a solution to an equation. Determine the unknown coordinate of an ordered pair solution. Graph linear equations by plotting points. Find x- and y- intercepts. Graph linear equations using intercepts. Use linear equations to model data. Graph horizontal and vertical lines. Find the slope of a line given two points. Find the slope of horizontal and vertical lines. Graph a line using the slope and a point. Find and use the slopes of parallel and perpendicular lines. Use slope in applications. Determine the slope and y-intercept from a linear equation. Use the slope-intercept form to graph a linear equation. Write the equation of a line given its slope and y-intercept. Write the equation of a line given its slope and a point on the line. Write the equation of a line given two points. Determine the relationship between two lines. Write the equation of a line parallel or perpendicular to a given line. Use linear equations to solve applications. Unit 5: Exponents and Polynomials Simplify exponential expressions using the product rule or the quotient rule. Use the zero-power rule. Use the power-to-power rule. Use the product-to-power rule. Use the quotient-to-power rule. Simplify exponential expressions using a combination of rules. Classify polynomials as monomial, binomial, or trinomial. Determine the degree and coefficient of a monomial. Determine the degree and leading coefficient of a polynomial. Evaluate a polynomial for a given value.

6 Unit 5 Continued: Exponents and Polynomials Simplify polynomials by combining like terms. Add polynomials. Find the opposite of a polynomial. Subtract polynomials. Multiply monomials. Multiply a polynomial by a monomial. Multiply two binomials. Multiply two or more polynomials. Square a binomial sum. Square a binomial difference. Multiply the sum and difference of two terms. Use the negative power rule. Simplify expressions containing negative exponents using a combination of rules. Convert a number from standard form to scientific form. Convert a number from scientific form to standard form. Multiply and divide with scientific notation. Divide monomials. Divide a polynomial by a monomial. Divide polynomials using long division. Determine the degree of a polynomial in several variables. Evaluate polynomials in several variables. Add or subtract polynomials in several variables. Multiply polynomials in several variables. Unit 6: Factoring Polynomials Find the greatest common factor of a group of integers. Find the greatest common factor of a group of monomials. Factor out the greatest common factor from a polynomial. Factor by grouping. Factor trinomials of the form x 2 + bx + c Factor trinomials of the form x 2 + bxy + cy 2 Factor trinomials of the form ax 2 + bx + c Factor trinomials of the form ax 2 + bxy + cy 2 Factor trinomials of the form ax 2 + bx + c after factoring out the GCF. Factor the difference of two squares. Factor perfect square trinomials. Factor the sum or difference of two cubes. Factor polynomials completely. Solve quadratic equations by factoring. Solve polynomial equations by factoring.

7 Unit 6 continued: Factoring Polynomials Solve application problems involving consecutive integers. Solve application problems involving geometric figures. Solve application problems using the Pythagorean theorem. Solve application problems involving quadratic models. MATH 095: Units 1-12 are prerequisite skills for transfer course MATH 143, College Algebra, MATH 147, Precalculus, and MATH 153, Elementary Statistics Unit 7: Inequalities in Two Variables, Systems of Linear Equations & Inequalities Determine if an ordered pair is a solution to a linear inequality in two variables. Graph a linear inequality in two variables. Solve applications involving linear inequalities in two variables. Determine if an ordered pair is a solution to a system of linear equations in two variables. Determine the number of solutions to a system without graphing. Solve systems of linear equations by graphing. Solve systems of linear equations by substitution. Solve special systems by substitution. Solve systems of linear equations by elimination. Solve special systems by elimination. Solve related quantity applications using systems of equations. Solve geometry applications using systems of equations. Solve uniform motion applications using systems of equations. Solve mixture applications using systems of equations. Determine if an ordered pair is a solution to a system of linear inequalities in two variables. Graph systems of linear inequalities. Solve applications involving systems of linear inequalities. Unit 8: Rational Expressions & Equations Evaluate rational expressions. Find restricted values for rational expressions. Simplify rational expressions. Multiply and divide rational expressions. Find the least common denominator of rational expressions. Write equivalent rational expressions. Add and subtract rational expressions with common denominators. Add and subtract rational expressions with unlike denominators. Simplify complex rational expressions by first simplifying the numerator and denominator. Simplify complex rational expressions by multiplying by a common denominator. Identify rational equations.

8 Unit 8 continued: Rational Expressions & Equations Solve rational equations. Identify and solve proportions. Solve a formula containing rational expressions for a given variable. Use proportions to solve problems. Use formulas containing rational expressions to solve problems. Solve uniform motion problems involving rational equations. Solve problems involving rate of work. Unit 9: Rational Equations, Introduction to Functions, and Radicals Solve problems involving direct variation. Solve problems involving inverse variation. Identify independent and dependent variables. Find the domain and range of a relation. Determine if relations are functions. Determine if graphs are functions. Solve application problems involving relations and functions. Express equations of functions using function notation. Evaluate functions. Find the domain of a polynomial or rational function. Find the sum, difference, product, and quotient of functions. Graph simple functions by plotting points. Interpret graphs of functions. Solve application problems involving functions. Find square roots of perfect squares. Approximate square roots. Simplify radical expressions of the form a 2 Find cube roots. Find and approximate n th roots. Evaluate radical functions. Find the domain of a radical function. Graph functions that contain square roots or cube roots. Unit 10: Radicals & Rational Exponents, Quadratic Equations/Functions Use the definition for rational exponents of the form a 1 n Use the definition for rational exponents of the form a n m Simplify exponential expressions involving rational exponents. Use rational exponents to simplify radical expressions. Simplify radical expressions using the product rule. Simplify radical expressions using the quotient rule. Add and subtract radical expressions.

10 Unit 11 continued: Quadratic Equations & Functions, Transformations, Composites, and Inverses Use vertical stretches and compressions to graph functions. Use horizontal stretches and compressions to graph functions. Use combinations of transformations to graph functions. Form and evaluate composite functions. Determine the domain of composite functions. Determine if a function is one-to-one using the horizontal line test. Verify inverse functions. Sketch the graphs of inverse functions. Find the inverse of a one-to-one function. Unit 12: Exponential & Logarithmic Functions and Equations Use the characteristics of exponential functions. Sketch the graphs of exponential functions using transformations. Solve exponential equations by relating the bases. Solve applications of exponential functions. Use the characteristics of the natural exponential function. Sketch the graphs of natural exponential functions using transformations. Solve natural exponential equations by relating the bases. Solve applications of the natural exponential function. Use the definition of a logarithmic function. Evaluate logarithmic expressions. Use the properties of logarithms. Use the common and natural logarithms. Use the characteristics of logarithmic functions. Sketch the graphs of logarithmic function using transformations. Find the domain of logarithmic functions. Use the product rule, quotient rule, and power rule for logarithms. Expand and condense logarithmic expressions. Solve exponential equations. Solve logarithmic equations. Solve compound interest problems Solve exponential growth and decay problems Solve logistic growth problems Use Newton s law of cooling

### 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

### 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

### 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

### 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 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,

### 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

### 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

### 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,

### 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

### 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

### 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

### 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

### 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

### 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,

### 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 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

### 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

### 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

### 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:

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

### Unit 1: Integers and Fractions

Unit 1: Integers and Fractions No Calculators!!! Order Pages (All in CC7 Vol. 1) 3-1 Integers & Absolute Value 191-194, 203-206, 195-198, 207-210 3-2 Add Integers 3-3 Subtract Integers 215-222 3-4 Multiply

### 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

### GRADES 7, 8, AND 9 BIG IDEAS

Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for

### 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

### 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

### 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

### 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

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### 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

### MATH BOOK OF PROBLEMS SERIES. New from Pearson Custom Publishing!

MATH BOOK OF PROBLEMS SERIES New from Pearson Custom Publishing! The Math Book of Problems Series is a database of math problems for the following courses: Pre-algebra Algebra Pre-calculus Calculus Statistics

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### Lyman Memorial High School. Pre-Calculus Prerequisite Packet. Name:

Lyman Memorial High School Pre-Calculus Prerequisite Packet Name: Dear Pre-Calculus Students, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry. These

### 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

### 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,...}

### Math Placement Test Study Guide. 2. The test consists entirely of multiple choice questions, each with five choices.

Math Placement Test Study Guide General Characteristics of the Test 1. All items are to be completed by all students. The items are roughly ordered from elementary to advanced. The expectation is that

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### 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.

### 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 2 Chapter 1 Vocabulary. identity - A statement that equates two equivalent expressions.

Chapter 1 Vocabulary identity - A statement that equates two equivalent expressions. verbal model- A word equation that represents a real-life problem. algebraic expression - An expression with variables.

### 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

### 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),

### 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.

### 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

### 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

### 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

### 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

### 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

### Review of Intermediate Algebra Content

Review of Intermediate Algebra Content Table of Contents Page Factoring GCF and Trinomials of the Form + b + c... Factoring Trinomials of the Form a + b + c... Factoring Perfect Square Trinomials... 6

### Big Ideas in Mathematics

Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

### Assessment Anchors and Eligible Content

M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

### 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,

### Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)

Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402-443- 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application

### 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

### 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

### 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

### Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

### Administrative - Master Syllabus COVER SHEET

Administrative - Master Syllabus COVER SHEET Purpose: It is the intention of this to provide a general description of the course, outline the required elements of the course and to lay the foundation for

### Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower

Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including

### 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

### 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.

### 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

### 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

### North Carolina Math 2

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.

### 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:

### 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

### ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I

ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in

PRE-CALCULUS GRADE 12 [C] Communication Trigonometry General Outcome: Develop trigonometric reasoning. A1. Demonstrate an understanding of angles in standard position, expressed in degrees and radians.

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### 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,

### 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

### 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

### 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

### Title Location Date Start Time End Time Description

Title Location Date Start Time End Time Description Operations w/ Integers SJC Rm 1457B Aug. 29 12:30 PM 2:00 PM Beginning with an introduction to integers, this workshop will review the four basic operations

### 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

### Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

### This is a square root. The number under the radical is 9. (An asterisk * means multiply.)

Page of Review of Radical Expressions and Equations Skills involving radicals can be divided into the following groups: Evaluate square roots or higher order roots. Simplify radical expressions. Rationalize

### MATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS

* Students who scored a Level 3 or above on the Florida Assessment Test Math Florida Standards (FSA-MAFS) are strongly encouraged to make Advanced Placement and/or dual enrollment courses their first choices

### Common Core State Standards for Mathematics Accelerated 7th Grade

A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting

### 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

### 10 th Grade Math Special Education Course of Study

10 th Grade Math Special Education Course of Study Findlay City Schools 2006 Table of Contents 1. Findlay City Schools Mission Statement 2. 10 th Grade Math Curriculum Map 3. 10 th Grade Math Indicators

### 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

### COMPETENCY TEST SAMPLE TEST. A scientific, non-graphing calculator is required for this test. C = pd or. A = pr 2. A = 1 2 bh

BASIC MATHEMATICS COMPETENCY TEST SAMPLE TEST 2004 A scientific, non-graphing calculator is required for this test. The following formulas may be used on this test: Circumference of a circle: C = pd or

### Prentice Hall Algebra 2 2011 Correlated to: Colorado P-12 Academic Standards for High School Mathematics, Adopted 12/2009

Content Area: Mathematics Grade Level Expectations: High School Standard: Number Sense, Properties, and Operations Understand the structure and properties of our number system. At their most basic level

### WORK SCHEDULE: MATHEMATICS 2007

, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

### EL CAMINO COLLEGE COURSE OUTLINE OF RECORD. Grading Method: Letter Credit/No Credit Both No Grade

EL CAMINO COLLEGE COURSE OUTLINE OF RECORD I. COURSE DESCRIPTION Course Title and Number: Mathematics 43 Descriptive Title: Extended Elementary Algebra, Part II Discipline: Mathematics Division: Mathematical

### 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

### PCHS ALGEBRA PLACEMENT TEST

MATHEMATICS Students must pass all math courses with a C or better to advance to the next math level. Only classes passed with a C or better will count towards meeting college entrance requirements. If

### 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

### NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS

NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS TEST DESIGN AND FRAMEWORK September 2014 Authorized for Distribution by the New York State Education Department This test design and framework document

### 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

### 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

### MATH 21. College Algebra 1 Lecture Notes

MATH 21 College Algebra 1 Lecture Notes MATH 21 3.6 Factoring Review College Algebra 1 Factoring and Foiling 1. (a + b) 2 = a 2 + 2ab + b 2. 2. (a b) 2 = a 2 2ab + b 2. 3. (a + b)(a b) = a 2 b 2. 4. (a