Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math

Size: px
Start display at page:

Download "Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math"

Transcription

1 Sarter Balanced Assessent Consortiu Clais, s, Stard Alignent for Math The Sarter Balanced Assessent Consortiu (SBAC) has created a hierarchy coprised of clais targets that together can be used to ake stateents about student achieveent. The clai is a broad stateent that will outline the outcoe achieved with astery of the stards within it. Within each clai are a variety of assessent targets that further clarify the knowledge specific skills that cross over a cluster of stards. The following tables layout the clai 1 targets. Each target ay feature a stard or a variety of stards that ake up the skill(s) of the target. Each target also features a Depth of Knowledge level(s) ite type(s) in which the targets ay be assessed. For ath, clai 1 is the only clai directly tied to stards. Clais 2-4 will feature ites aligned to a variety of stards to a nuber of different targets. Ite Types: SR - selected response CR - constructed response TE - technology-enhanced ER - extended constructed response Depth of Knowledge: 1 - Recall 2 - Skill/Concept 3 - Strategic Thinking 4 - Extended Thinking : Not all content in a given grade is ephasized equally in the stards. Soe clusters require greater ephasis than others based on the depth of ideas, the tie they take to aster, /or their iportance to future atheatics or the des of college career readiness. The following tables identify the ajor, additional, supporting work for the grade. ajor o Prioritized content for the grade o Assessent will saple the ajor work of the grade in the greatest proportion s supporting o Supports the ajor work of the grade provides connections that add coherence to the grade a - additional o Topics that ay not connect tightly or explicitly to the ajor work of the grade Key Data Systes.

2 Grade 4 Matheatics Clai explain apply atheatical concepts interpret carry out atheatical procedures with precision fluency. A: Use the four operations with whole nubers to solve probles. B: Gain failiarity with factor ultiples. C: Generate analyze patterns. 4.OA.1: Interprett a ultiplication equation as a coparison, e.g., interpret 35 = 5 7 as a stateent that 35 is 5 ties as any as 7 7 ties as any as 5. Represent verbal stateents of ultiplicative coparisons as ultiplication equations. 4.OA.2: Multiply or divide to solve word probles involving ultiplicative coparison, e.g., by using drawings equations with a sybol for the unknown nuber to represent the proble, distinguishing ultiplicative coparison fro additive coparison. 4.OA.3: Solve ultistep word probles posed with whole nubers having whole nuber answers using the four operations, including probles in which reainders ust be interpreted. Represent these probles using equations with a letter sting for the unknown quantity. Assess the reasonableness of answers using ental coputation estiation strategies including rounding. 4.OA.4: Find all factor pairs for a whole nuber in the range Recognize that a whole nuber is a ultiple of each of its factors. Deterine whether a given whole nuberr in the range is a ultiple of a given one digit nuber. Deterine whether a given whole nuber in the range is prie or coposite. 4.OA.5: Generatee a nuber or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For exaple, given the rule Add 3 the starting nuber 1, generate ters in the resulting sequence observe that the ters appear to alternate between odd even nubers. Explain inforally why the nubers will continue to alternate in this way DOK Ite Types 1 SR 2, 3 SR, CR, TE s a Tables were created using the released ite specification tables provided by SBAC. Key Data Systes. Page 1

3 Grade 4 Matheatics Clai explain apply atheatical concepts interpret carry out atheatical procedures with precision fluency. D: Generalize place value understing for ulti digit whole nubers. E: Use place value understing properties of operations to perfor ulti digit arithetic. 4.NBT.1 Recognize that in a ulti digit whole nuber, a digit in one place represents ten ties what it represents in the place to its right. For exaple, recognize that = 10 by applying concepts of place value division. 4.NBT.2 Read write ulti digit whole nubers using base ten nuerals, nuber naes, exped for. Copare two ulti digit nubers based on eanings of the digits in each place, using >, =, < sybolss to record the results of coparisons. 4.NBT.3 Use place value understing to round ulti digit whole nubers to any place. 4.NBT.4: Fluently add subtract ulti digit whole nubers using the stard algorith. 4.NBT.5: Multiply a whole nuber of up to four digits by a one digit whole nuber, ultiply two two digit value thee properties of nubers, using strategies based on place operations. Illustrate explain the calculation by using equations, rectangular arrays, /or area odels. 4.NBT.6: Find whole nuber quotients reainders with up to four digit dividends one digit divisors, using strategies based on place value, the properties s of operations, /or the relationship between ultiplicationn division. Illustrate explain the calculation by using equations, rectangular arrays, /or areaa odels. DOK Ite Types 1, 2 SR, CR Tables were created using the released ite specification tables provided by SBAC. Key Data Systes. Page 2

4 Grade 4 Matheatics Clai Procedures: Students can explain apply atheatical concepts interpret carry out atheatical procedures with precision fluency. F: Extend understing of fraction equivalence ordering. G: Build fractions fro unit fractions by applying extending previous understings of operations on whole nubers. H: Underst decial notation for fractions, copare decial fractions. 4.NF.1: Explain why a fraction a/ /b is equivalent to a fraction (n a)/(n b) by using visual fraction odels, with attention to how the nuber size of the parts differ even though the two fractions theselves are the sae size. Use this principle to recognize generate equivalent fractions. 4.NF.2: Copare two fractions with different nuerators different denoinators, e.g., by creating coonn denoinators or nuerators, or by coparing to a benchark fraction such as 1/2. Recognize that coparisons are valid only when the two fractions refer to the sae whole. Record the results of coparisons with sybols >, =, or <, justify the conclusions, e.g.., by using a visual fraction odel. 4.NF.3: Underst a fraction a/b with a > 1 as a su of fractions 1/b. 4.NF.4: Apply extend previous understingss of ultiplication to ultiply a fraction by a whole nuber. 4.NF.5: Express a fraction with denoinator 10 as an equivalent fraction with denoinator 100, use this technique to add two fractions with respective denoinators For exaple, express 3/10 as 30/100, add 3/10 + 4/100 = 34/ NF.6: Use decial notation for fractions with denoinators 10 or 100. For exaple, rewrite 0.62 as 62/100; describe a length as 0.62 eters; locate 0.62 on a nuber line diagra. 4.NF.7: Copare two decials to hundredths byy reasoning about their size. Recognize that coparisons are valid only when the two decials refer to the sae whole. Record the results of coparisons with the sybols >, =, or <, justify the conclusions, e.g., by using a visual odel. DOK 1, 2, 3 Ite Types SR, CR, TE Tables were created using the released ite specification tables provided by SBAC. Key Data Systes. Page 3

5 Grade 4 Matheatics Clai explain apply atheatical concepts interpret carry out atheatical procedures with precision fluency. I: Solve probles involving easureent conversion of easureents fro a larger unit to a saller unit. J: Represent interpret data. 4.MD.1: Know relative sizes of easureent units within one syste of units including k,, c; kg, g; lb, oz.; l, l; hr, in, sec. Within a single syste of easureent, express easureentss in a larger unit in ters of a saller unit. Record easureent equivalents in a two colun table. For exaple, know that 1 ft is 12 ties as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion tablee for feet inches listing the nuber pairs (1, 12), (2, 24), (3, 36), 4.MD.2: Use the four operations to solve word probles involving distances, intervals of tie, liquid volues, asses of objects, oney, including probles involving siple fractions or decials, probles that require expressing easureentss given in a larger unit in ters of a saller unit. Represent easureent quantities using diagras such as nuber line diagras that feature a easureent scale. 4.MD.3: Apply the area perieter forulass for rectangles in real world atheatical probles. For exaple, find the width of a rectangular roo given the area off the flooring the length, by viewing the area forula ass a ultiplication equation with an unknown factor. 4.MD.4: Make a line plot to display a data set of easureents in fractions of a unit (1/2, 1/ 4, 1/8). Solve probles involving addition subtraction of fractions by using inforation presented in line plots. For exaple, fro a line plot find interpret the difference in length between the longest shortest speciens in an insect collection. DOK Ite Types 1, 2 SR, CR s s Tables were created using the released ite specification tables provided by SBAC. Key Data Systes. Page 4

6 Grade 4 Matheatics Clai explain apply atheatical concepts interpret carry out atheatical procedures with precision fluency. K: Geoetric easureent: underst concepts of angle easure angles. L: Draw identify lines angles, classify shapes by properties of their lines angles. 4.MD.5: Recognize angles as geoetric shapes that are fored wherever two rays share a coon endpoint, underst concepts of angle easureent. 4.MD.6: Measure angles in whole nuber degrees using a protractor. Sketch angles of specified easure. 4.MD.7: Recognize angle easure as additive. When an angle is decoposed into non overlapping parts, the angle easure of the whole is the su of the angle easures of the parts. Solve addition subtraction probles to find unknown angles on a diagra in real world atheatical probles, e.g., by using an equation with a sybol for the unknown angle easure. 4.G.1: Draw points, lines, line segents, rays, angles (right, acute, obtuse), perpendicular parallel lines. Identify these in two diensional figures. 4.G.2: Classify two diensional figures based on the presence or absence of parallel or perpendicular lines, orr the presence or absence of angles of a specified size. Recognizee right triangles as a category, identify right triangles. 4.G.3: Recognize a line of syetry for a two diensional figure as a line across the figure such that the figure can be folded along the line into atching parts. Identify line syetric figures draw lines of syetry. DOK Ite Types a a Tables were created using the released ite specification tables provided by SBAC. Key Data Systes. Page 5

4th Grade Emphasis Standards

4th Grade Emphasis Standards PARCC Emphasis Standards References Module(s) Tested (Max. 2) Module(s) Taught NOT Tested (No Max.) NUMBER AND OPERATIONS IN BASE TEN OA 4.OA.1 4.OA.1 (A) 4.OA.1 (B) 4.OA.2 4.OA.2 (A) 4.OA.2 (B) Use the

More information

For more information on the Common Core State Standards, visit Beast Academy Grade 4 Chapters 1-12:

For more information on the Common Core State Standards, visit   Beast Academy Grade 4 Chapters 1-12: Beast Academy Scope and Sequence for Grade 4 (books 4A through 4D). The content covered in Beast Academy Grade 4 is loosely based on the standards created by the Common Core State Standards Initiative.

More information

Second Quarter Benchmark Expectations for Units 3 and 4

Second Quarter Benchmark Expectations for Units 3 and 4 Mastery Expectations For the Fourth Grade Curriculum In Fourth Grade, Everyday Mathematics focuses on procedures, concepts, and s in three critical areas: Understanding and fluency with multi-digit multiplication,

More information

Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition "is a series of rigorous

Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition is a series of rigorous Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition "is a series of rigorous elementary math textbooks and workbooks meant to be part of

More information

GRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts.

GRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts. GRADE 4 Students will: Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as

More information

Pennsylvania System of School Assessment

Pennsylvania System of School Assessment Mathematics, Grade 04 Pennsylvania System of School Assessment The Assessment Anchors, as defined by the Eligible Content, are organized into cohesive blueprints, each structured with a common labeling

More information

Grade 4 Mathematics Indiana Academic Standards Crosswalk

Grade 4 Mathematics Indiana Academic Standards Crosswalk Grade 4 Mathematics Indiana Academic Standards Crosswalk 2014 2015 The Process Standards demonstrate the ways in which students should develop conceptual understanding of mathematical content and the ways

More information

Grade 4. COMMON CORE STATE STANDARDS FOR MATHEMATICS Correlations

Grade 4. COMMON CORE STATE STANDARDS FOR MATHEMATICS Correlations COMMON CORE STATE STANDARDS FOR MATHEMATICS Standards for Mathematical Practices CC.K 12.MP.1 Make sense of problems and persevere in solving them. In most Student Edition lessons. Some examples are: 50

More information

4th Grade Mathematics Mathematics CC

4th Grade Mathematics Mathematics CC Course Description In Grade 4, instructional time should focus on five critical areas: (1) attaining fluency with multi-digit multiplication, and developing understanding of dividing to find quotients

More information

Math Mammoth Grade 4. Class Description:

Math Mammoth Grade 4. Class Description: Math Mammoth Grade 4 Class Description: In the fourth grade, students focus on multi-digit multiplication and division, and a start to studying fractions and decimals, accompanied by studies in geometry

More information

4 th Grade Mathematics Learning Targets By Unit

4 th Grade Mathematics Learning Targets By Unit INSTRUCTIONAL UNIT UNIT 1: WORKING WITH WHOLE NUMBERS UNIT 2: ESTIMATION AND NUMBER THEORY PSSA ELIGIBLE CONTENT M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000),

More information

GREATER CLARK COUNTY SCHOOLS PACING GUIDE. Grade 4 Mathematics GREATER CLARK COUNTY SCHOOLS

GREATER CLARK COUNTY SCHOOLS PACING GUIDE. Grade 4 Mathematics GREATER CLARK COUNTY SCHOOLS GREATER CLARK COUNTY SCHOOLS PACING GUIDE Grade 4 Mathematics 2014-2015 GREATER CLARK COUNTY SCHOOLS ANNUAL PACING GUIDE Learning Old Format New Format Q1LC1 4.NBT.1, 4.NBT.2, 4.NBT.3, (4.1.1, 4.1.2,

More information

I can use the four operations (+, -, x, ) to help me understand math.

I can use the four operations (+, -, x, ) to help me understand math. I Can Common Core! 4 th Grade Math I can use the four operations (+, -, x, ) to help me understand math. Page 1 I can understand that multiplication fact problems can be seen as comparisons of groups (e.g.,

More information

7 Days: August 17 August 27. Unit 1: Two-Dimensional Figures

7 Days: August 17 August 27. Unit 1: Two-Dimensional Figures 1 st Trimester Operations and Algebraic Thinking (OA) Geometry (G) OA.3.5 G.1.1 G.1.2 G.1.3 Generate and analyze patterns. Generate a number or shape pattern that follows a given rule. Identify apparent

More information

Measurement and Data Core Guide Grade 4

Measurement and Data Core Guide Grade 4 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1 2) Standard 4.MD.1 Know relative sizes of measurement units within each system

More information

GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: Read (in standard form) whole numbers. whole numbers Equivalent Whole Numbers

GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: Read (in standard form) whole numbers. whole numbers Equivalent Whole Numbers CRAWFORDSVILLE COMMUNITY SCHOOL CORPORATION 1 GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: 2019 2020 GRADING PERIOD: QUARTER 1 MASTER COPY 1 20 19 NUMBER SENSE Whole Numbers 4.NS.1: Read and write whole

More information

Georgia Department of Education

Georgia Department of Education Fourth Grade 4.NOP.1 Multiplication and division; Find the factor pairs for a given whole number less than or equal to 100; recognize prime numbers as numbers greater than 1 with exactly one factor pair.

More information

Grade 4 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print

Grade 4 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print Standards PLUS Flexible Supplemental K-8 ELA & Math Online & Print Grade 4 SAMPLER Mathematics EL Strategies DOK 1-4 RTI Tiers 1-3 15-20 Minute Lessons Assessments Consistent with CA Testing Technology

More information

Northern York County School District Curriculum

Northern York County School District Curriculum Northern York County School District Curriculum Course Name Grade Level Mathematics Fourth grade Unit 1 Number and Operations Base Ten Time Frame 4-5 Weeks PA Common Core Standard (Descriptor) (Grades

More information

CH 24 SLOPE. rise = run. Ch 24 Slope. Introduction

CH 24 SLOPE. rise = run. Ch 24 Slope. Introduction 9 CH SLOPE Introduction A line has any attributes, or characteristics. Two of the ost iportant are its intercepts and its slope. The intercepts (previous chapter) tell us where the line crosses the x-axis

More information

Linear Equations in Two Variables

Linear Equations in Two Variables Using Slope Linear Equations in Two Variables CHAT Pre-Calculus Section. The siplest atheatical odel for relating two variables is linear equation in two variables. It is called a linear equation because

More information

Content Area: Mathematics- 3 rd Grade

Content Area: Mathematics- 3 rd Grade Unit: Operations and Algebraic Thinking Topic: Multiplication and Division Strategies Multiplication is grouping objects into sets which is a repeated form of addition. What are the different meanings

More information

Third Grade Mathematics Scope and Sequence

Third Grade Mathematics Scope and Sequence Third Grade Mathematics Scope and Sequence Quarter 1 Domain Operations & Algebraic Thinking Numbers & Operation in Base Ten Standard 3.OA.1 Interpret products of whole numbers, e.g., interpret 5 x 7 as

More information

Diocese of Erie Mathematics Curriculum Third Grade August 2012

Diocese of Erie Mathematics Curriculum Third Grade August 2012 Operations and Algebraic Thinking 3.OA Represent and solve problems involving multiplication and division 1 1. Interpret products of whole numbers. Interpret 5x7 as the total number of objects in 5 groups

More information

Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics F-H Approximately 14 days Begin around January 9 th

Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics F-H Approximately 14 days Begin around January 9 th HIGLEY UNIFIED SCHOOL DISTRICT 2016/2017 INSTRUCTIONAL ALIGNMENT Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics F-H Approximately 14 days Begin around January

More information

Length, Perimeter and Area

Length, Perimeter and Area E Student Book 4 Nae Series E Contents Topic Units of length (pp. 7) etres and centietres length and decial notation illietres convert it apply Date copleted Topic Perieter (pp. 8 4) easuring shapes calculating

More information

AIMS Common Core Math Standards Alignment

AIMS Common Core Math Standards Alignment AIMS Common Core Math Standards Alignment Third Grade Operations and Algebraic Thinking (3.OA) 1. Interpret products of whole numbers, e.g., interpret 5 7 as the total number of objects in 5 groups of

More information

Second Quarter Benchmark Expectations for Units 3 and 4. Represent multiplication as equal groups with arrays.

Second Quarter Benchmark Expectations for Units 3 and 4. Represent multiplication as equal groups with arrays. Mastery Expectations For the Third Grade Curriculum In Third Grade, Everyday Mathematics focuses on procedures, concepts, and s in four critical areas: Understanding of division and strategies within 100.

More information

Standards for Mathematical Practice

Standards for Mathematical Practice Common Core State Standards Mathematics Student: Teacher: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively Standards for Mathematical Practice 3. Construct

More information

2011 Iredell Statesville Schools 4 th Grade Mathematics 1

2011 Iredell Statesville Schools 4 th Grade Mathematics 1 2011 Iredell Statesville Schools 4 th Grade Mathematics 1 Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.OA.1 Interpret a multiplication equation as a

More information

BREATHITT COUNTY SCHOOLS 3 rd Grade Math Curriculum Map Week Standard Key Vocabulary Learning Target Resources Assessment

BREATHITT COUNTY SCHOOLS 3 rd Grade Math Curriculum Map Week Standard Key Vocabulary Learning Target Resources Assessment Number Operations/Fractions/Algebraic Expressions Week 1 Week 2 3.NBT.1: Use place value understanding to round whole numbers to the nearest 10 or 100. 3.NBT.2: Fluently add and subtract within 1000 using

More information

Mathematical Practices:

Mathematical Practices: Content Area Mathematics Grade Level 4 th Grade Course Name/Course Code Standard Grade Level Expectations (GLE) GLE Code 1. Number Sense, Properties, and Operations 2. Patterns, Functions, and Algebraic

More information

3rd Grade Math Pacing Guide Unit 1 Board Approved: December 12, 2016

3rd Grade Math Pacing Guide Unit 1 Board Approved: December 12, 2016 Unit 1 Board Approved: December 12, 2016 # CCSS Unit 1: Represent and solve problems involving multiplication and division September/October 31 Days Go Math Chapters Covered: Completed Student Learning

More information

Common Core State Standards 1 st Edition. Math Pacing Guide

Common Core State Standards 1 st Edition. Math Pacing Guide Common Core State Standards 1 st Edition Math Pacing Guide Fourth Grade 2 nd Nine Week Period 1 st Edition Developed by: Christy Mitchell, Amy Moreman, Natalie Reno ``````````````````````````````````````````````````````````````````````````````````````

More information

Unit 1 NOTES Honors Math 2 18

Unit 1 NOTES Honors Math 2 18 Unit 1 NOTES Honors Math 2 18 Day 5: Copositions War-Up: Given triangle GHI with G(-2, 1), H(3, 4), and I(1, 5), find the points of the iage under the following transforations and write the lgebraic Rule.

More information

Name: Unit 8 Review Review due on Monday, February 22, 2016 Test on Tuesday, February 23, 2016

Name: Unit 8 Review Review due on Monday, February 22, 2016 Test on Tuesday, February 23, 2016 Nae: Unit 8 Review Review due on Monday, February 22, 2016 Test on Tuesday, February 23, 2016 1. A polygon has a perieter of 36 inches. Each side is exactly 6 inches long. Which of the following figures

More information

Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics D-H Approximately 25 days Begin around January 4 th

Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics D-H Approximately 25 days Begin around January 4 th HIGLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL ALIGNMENT Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics D-H Approximately 25 days Begin around January 4 th In

More information

3.NBT NBT.2

3.NBT NBT.2 Saxon Math 3 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

More information

Subtract 2-digit numbers mentally with or without regrouping. Use front-end estimation to estimate sums and differences

Subtract 2-digit numbers mentally with or without regrouping. Use front-end estimation to estimate sums and differences 3 rd Grade Math in Focus Chapter 1-Numbers to 10,000 Counting Place Value Comparing Ordering Numbers Use base-ten blocks to count, read, write numbers to 10,000 Count on by 1s, 10s, 100s, 1,000s to 10,000

More information

COMPARISON OF TOKEN HOLDING TIME STRATEGIES FOR A STATIC TOKEN PASSING BUS. M.E. Ulug

COMPARISON OF TOKEN HOLDING TIME STRATEGIES FOR A STATIC TOKEN PASSING BUS. M.E. Ulug COMPARISON OF TOKEN HOLDING TIME STRATEGIES FOR A STATIC TOKEN PASSING BUS M.E. Ulug General Electric Corporate Research and Developent Schenectady, New York 1245 ABSTRACT Waiting ties have been calculated

More information

3rd Grade Math Unit 1 8/18. # of Days: 7. Assessment: Fluency with Addition & Subtraction 3.MD.A.1 MP 1, 2, 3, 4, 5, 6 3.MD.A.

3rd Grade Math Unit 1 8/18. # of Days: 7. Assessment: Fluency with Addition & Subtraction 3.MD.A.1 MP 1, 2, 3, 4, 5, 6 3.MD.A. Math Unit 1 # of Days: 7 8/18 Fluency with Addition & Subtraction. 3.MD.A.1 MP 1, 2, 3, 4, 5, 6 3.MD.A.2 MP 1, 2, 4, 5 3.NBT.A.2 3.OA.D.8 MP 1, 2, 3, 4, 5, 6 3.OA.D.9 MP 3, 6, 7, 8 3.MD.B.3 MP 2, 4 Tell

More information

Grade 3: PA Academic Eligible Content and PA Common Core Crosswalk

Grade 3: PA Academic Eligible Content and PA Common Core Crosswalk Grade 3: PA Academic Eligible and PA Common Core Crosswalk Alignment of Eligible : More than Just The crosswalk below is designed to show the alignment between the PA Academic Standard Eligible and the

More information

COMMON CORE STATE STANDARDS FOR MATHEMATICS K-2 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS K-2 DOMAIN PROGRESSIONS COMMON CORE STATE STANDARDS FOR MATHEMATICS K-2 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Domain: Counting and Cardinality Know number names and the count

More information

Summer Solutions Common Core Mathematics 4. Common Core. Mathematics. Help Pages

Summer Solutions Common Core Mathematics 4. Common Core. Mathematics. Help Pages 4 Common Core Mathematics 63 Vocabulary Acute angle an angle measuring less than 90 Area the amount of space within a polygon; area is always measured in square units (feet 2, meters 2, ) Congruent figures

More information

AIMS Common Core Math Standards Alignment

AIMS Common Core Math Standards Alignment AIMS Common Core Math Standards Alignment Third Grade Operations and Algebraic Thinking (.OA) 1. Interpret products of whole numbers, e.g., interpret 7 as the total number of objects in groups of 7 objects

More information

NSCAS - Math Table of Specifications

NSCAS - Math Table of Specifications NSCAS - Math Table of Specifications MA 3. MA 3.. NUMBER: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics

More information

xcvbnmqwertyuiopasdfghjklzxcvbnmqwertyuiopa Grade 2 Math Crook County School District # 1 Curriculum Guide

xcvbnmqwertyuiopasdfghjklzxcvbnmqwertyuiopa Grade 2 Math Crook County School District # 1 Curriculum Guide qwertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjkl zxcvbnmqwertyuiopasdfghjklzxcvbnmqwertyuiop asdfghjklzxcvbnmqwertyuiopasdfghjklzxcvbnmq wertyuiopasdfghjklzxcvbnmqwertyuiopasdfghjklz Crook County School District

More information

Formative type assessment (i.e. windshield check, dry erase boards, exit tickets, multiple choice, journals, checklists, etc.

Formative type assessment (i.e. windshield check, dry erase boards, exit tickets, multiple choice, journals, checklists, etc. Jones County School District Assessment Blueprint 2013-2014 Grade/Subject Level: 3rd Grade Math Team Members: A. Mobley, K. Husser, R. Sims, S. Clark, K. Knight, J. Hall Creating Summative / District Benchmark

More information

Georgia Department of Education Teacher and Leader Keys Effectiveness Systems. Table of Specifications by Item Grade: Third (3)

Georgia Department of Education Teacher and Leader Keys Effectiveness Systems. Table of Specifications by Item Grade: Third (3) Table of Specifications by Item Subject: Mathematics/Grade 3 Assessme nt Title:. Ite m 3 rd Grade Math Pre/Post- Assessment Course Number: TOS Date: SLO Measure Development Complete during SLO Development

More information

ELECTROMAGNETIC COVERAGE CALCULATION IN GIS

ELECTROMAGNETIC COVERAGE CALCULATION IN GIS ELECTROMAGNETIC COVERAGE CALCULATION IN GIS M. Uit Guusay 1, Alper Sen 1, Uut Bulucu 2, Aktul Kavas 2 1 Yildiz Technical University, Departent of Geodesy and Photograetry Engineering, Besiktas, Istanbul,

More information

Write numbers to 100,000 in standard form, word form, and expanded form

Write numbers to 100,000 in standard form, word form, and expanded form 4 th Grade Math in Focus Chapter 1-Working with Whole to 100,000 Comparing to 100,000 Adding and Multi-Digit Write numbers to 100,000 in standard form, word form, and expanded form Compare and order numbers

More information

Correlation of USA Daily Math Grade 5 to Common Core State Standards for Mathematics

Correlation of USA Daily Math Grade 5 to Common Core State Standards for Mathematics Correlation of USA Daily Math Grade 5 to Common Core State Standards for Mathematics 5.OA Operations and Algebraic Thinking (Mondays) 5.OA.1 Use parentheses, brackets, or p. 1 #3 p. 7 #3 p. 12 Brain Stretch

More information

Windowing High-Resolution ADC Data Part 2

Windowing High-Resolution ADC Data Part 2 Windoing High-Resolution DC Data art Josh Carnes pplications Engineer, ational Seiconductor Corp. bstract nalyzing data fro DCs requires the use of indoing functions for spectral estiation and analysis

More information

PENNSYLVANIA. List properties, classify, draw, and identify geometric figures in two dimensions.

PENNSYLVANIA. List properties, classify, draw, and identify geometric figures in two dimensions. Know: Understand: Do: CC.2.3.4.A.1 -- Draw lines and angles and identify these in two-dimensional figures. CC.2.3.4.A.2 -- Classify twodimensional figures by properties of their lines and angles. CC.2.3.4.A.3

More information

SIG: Signal-Processing

SIG: Signal-Processing TH Köln - Technology, Arts, Sciences Prof. Dr. Rainer Bartz SIG: Signal-Processing Copendiu (6) Prof. Dr.-Ing. Rainer Bartz rainer.bartz@th-koeln.de Contact: eail: website: office: rainer.bartz@th-koeln.de

More information

Modeling Beam forming in Circular Antenna Array with Directional Emitters

Modeling Beam forming in Circular Antenna Array with Directional Emitters International Journal of Research in Engineering and Science (IJRES) ISSN (Online): 2320-9364, ISSN (Print): 2320-9356 Volue 5 Issue 3 ǁ Mar. 2017 ǁ PP.01-05 Modeling Bea foring in Circular Antenna Array

More information

A New Localization and Tracking Algorithm for Wireless Sensor Networks Based on Internet of Things

A New Localization and Tracking Algorithm for Wireless Sensor Networks Based on Internet of Things Sensors & Transducers 203 by IFSA http://www.sensorsportal.co A New Localization and Tracking Algorith for Wireless Sensor Networks Based on Internet of Things, 2 Zhang Feng, Xue Hui-Feng, 2 Zhang Yong-Heng,

More information

WIPL-D Pro: What is New in v12.0?

WIPL-D Pro: What is New in v12.0? WIPL-D Pro: What is New in v12.0? Iproveents/new features introduced in v12.0 are: 1. Extended - Extree Liits a. Extreely LOW contrast aterials b. Extended resolution for radiation pattern c. Extreely

More information

3.OA.A- Represent and solve problems involving multiplication and division

3.OA.A- Represent and solve problems involving multiplication and division MARYLAND COLLEGE AND CAREER READY STANDARDS-GRADE 3 OPERATIONS AND ALGEBRAIC THINKING 3.OA.A- Represent and solve problems involving multiplication and division 3.OA.A.1- Interpret products of whole numbers,

More information

Sound recording with the application of microphone arrays

Sound recording with the application of microphone arrays Coputer Applications in Electrical Engineering Sound recording with the application of icrophone arrays Eugeniusz Kornatowski West Poeranian University of Technology 7-26 Szczecin, 26 Kwietnia, e-ail:

More information

OPERATIONS AND ALGEBRAIC THINKING NUMBER AND OPERATIONS IN BASE TEN NUMBER AND OPERATIONS: FRACTIONS

OPERATIONS AND ALGEBRAIC THINKING NUMBER AND OPERATIONS IN BASE TEN NUMBER AND OPERATIONS: FRACTIONS OPERATIONS AND ALGEBRAIC THINKING 003-249 REPRESENT AND SOLVE PROBLEMS INVOLVING MULTIPLICATION AND DIVISON UNDERSTAND PROPERTIES OF MULTIPLICATION AND THE RELATIONSHIP BETWEEN MULTIPLICATION AND DIVISION

More information

ELEC2202 Communications Engineering Laboratory Frequency Modulation (FM)

ELEC2202 Communications Engineering Laboratory Frequency Modulation (FM) ELEC Counications Engineering Laboratory ---- Frequency Modulation (FM) 1. Objectives On copletion of this laboratory you will be failiar with: Frequency odulators (FM), Modulation index, Bandwidth, FM

More information

Modeling and Parameter Identification of a DC Motor Using Constraint Optimization Technique

Modeling and Parameter Identification of a DC Motor Using Constraint Optimization Technique IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-684,p-ISSN: 2320-334X, Volue 3, Issue 6 Ver. II (Nov. - Dec. 206), PP 46-56 www.iosrjournals.org Modeling and Paraeter Identification

More information

OTC Statistics of High- and Low-Frequency Motions of a Moored Tanker. sensitive to lateral loading such as the SAL5 and

OTC Statistics of High- and Low-Frequency Motions of a Moored Tanker. sensitive to lateral loading such as the SAL5 and OTC 61 78 Statistics of High- and Low-Frequency Motions of a Moored Tanker by J.A..Pinkster, Maritie Research Inst. Netherlands Copyright 1989, Offshore Technology Conference This paper was presented at

More information

Precise Indoor Localization System For a Mobile Robot Using Auto Calibration Algorithm

Precise Indoor Localization System For a Mobile Robot Using Auto Calibration Algorithm Precise Indoor Localization Syste For a Mobile Robot Using Auto Calibration Algorith Sung-Bu Ki, JangMyung Lee, and I.O. Lee : Pusan National University, http://robotics.ee.pusan.ac.r, : Ninety syste Abstract:

More information

Notes on Orthogonal Frequency Division Multiplexing (OFDM)

Notes on Orthogonal Frequency Division Multiplexing (OFDM) Notes on Orthogonal Frequency Division Multiplexing (OFDM). Discrete Fourier ransfor As a reinder, the analytic fors of Fourier and inverse Fourier transfors are X f x t t, f dt x t exp j2 ft dt (.) where

More information

GRADE 3 TEKS ALIGNMENT CHART

GRADE 3 TEKS ALIGNMENT CHART GRADE 3 TEKS ALIGNMENT CHART TEKS 3.2.A compose and decompose numbers up to,000 as the sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial

More information

Counting and Cardinality (CC)

Counting and Cardinality (CC) Counting Cardinality (CC) K.CC.B Count to tell the number of objects. K.CC.A Know number names the counting sequence. Domain Cluster Stards 1 st nd rd 4 th K.CC.A.1 Count to 100 by ones, fives by tens.

More information

Standards for Mathematical Practice

Standards for Mathematical Practice Common Core State Standards Mathematics Student: Teacher: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively Standards for Mathematical Practice 3. Construct

More information

Parameter Identification of Transfer Functions Using MATLAB

Parameter Identification of Transfer Functions Using MATLAB Paraeter Identification of Transfer Functions Using MATLAB Mato Fruk, Goran Vujisić, Toislav Špoljarić Departent of Electrical Engineering The Polytechnic of Zagreb Konavoska, Zagreb, Croatia ato.fruk@tvz.hr,

More information

Power Improvement in 64-Bit Full Adder Using Embedded Technologies Er. Arun Gandhi 1, Dr. Rahul Malhotra 2, Er. Kulbhushan Singla 3

Power Improvement in 64-Bit Full Adder Using Embedded Technologies Er. Arun Gandhi 1, Dr. Rahul Malhotra 2, Er. Kulbhushan Singla 3 Power Iproveent in 64-Bit Full Adder Using Ebedded Technologies Er. Arun Gandhi 1, Dr. Rahul Malhotra 2, Er. Kulbhushan Singla 3 1 Departent of ECE, GTBKIET, Chhapianwali Malout, Punjab 2 Director, Principal,

More information

presented on yfra.,- /4/,'d)

presented on yfra.,- /4/,'d) AN ABSTRACT OF THE THESIS OF in Jaes Willia Walker for the MSEE (Nae) (Degree) Electrical Engineering presented on yfra.,- /4/,'d) (Date) Title: A PROGRAMMED INTRODUCTION TO MODULATION TECHNIQUES Abstract

More information

Design and Implementation of Block Based Transpose Form FIR Filter

Design and Implementation of Block Based Transpose Form FIR Filter Design and Ipleentation of Bloc Based Transpose For FIR Filter O. Venata rishna 1, Dr. C. Venata Narasihulu 2, Dr.. Satya Prasad 3 1 (ECE, CVR College of Engineering, Hyderabad, India) 2 (ECE, Geethanjali

More information

ESTIMATION OF OVERCOVERAGE IN THE CENSUS OF CANADA USING AN AUTOMATED APPROACH. Claude Julien, Statistics Canada Ottawa, Ontario, Canada K1A 0T6

ESTIMATION OF OVERCOVERAGE IN THE CENSUS OF CANADA USING AN AUTOMATED APPROACH. Claude Julien, Statistics Canada Ottawa, Ontario, Canada K1A 0T6 ESTMATON OF OVERCOVERAGE N THE CENSUS OF CANADA USNG AN AUTOMATED APPROACH Claude Julien, Statistics Canada Ottawa, Ontario, Canada K1A 0T6 KEY WORDS: Coverage evaluation, two-phase design, stratification

More information

SECURITY AND BER PERFORMANCE TRADE-OFF IN WIRELESS COMMUNICATION SYSTEMS APPLICATIONS

SECURITY AND BER PERFORMANCE TRADE-OFF IN WIRELESS COMMUNICATION SYSTEMS APPLICATIONS Latin Aerican Applied Research 39:187-192 (2009) SECURITY AND BER PERFORMANCE TRADE-OFF IN WIRELESS COMMUNICATION SYSTEMS APPLICATIONS L. ARNONE, C. GONZÁLEZ, C. GAYOSO, J. CASTIÑEIRA MOREIRA and M. LIBERATORI

More information

Efficient Non-linear Changed Mel-filter Bank VAD Algorithm

Efficient Non-linear Changed Mel-filter Bank VAD Algorithm Matheatical Models and Methods in Modern Science Efficient on-linear Changed Mel-filter Bank VAD Algorith DAMJA VLAJ, ZDRAVKO KAČIČ, MARKO KOS Faculty of Electrical Engineering and Coputer Science University

More information

NINTH INTERNATIONAL CONGRESS ON SOUND AND VIBRATION, ICSV9 PASSIVE CONTROL OF LAUNCH NOISE IN ROCKET PAYLOAD BAYS

NINTH INTERNATIONAL CONGRESS ON SOUND AND VIBRATION, ICSV9 PASSIVE CONTROL OF LAUNCH NOISE IN ROCKET PAYLOAD BAYS first nae & faily nae: Rick Morgans Page nuber: 1 NINTH INTERNATIONAL CONGRESS ON SOUND AND VIBRATION, ICSV9 PASSIVE CONTROL OF LAUNCH NOISE IN ROCKET PAYLOAD BAYS Rick Morgans, Ben Cazzolato, Anthony

More information

DSI3 Sensor to Master Current Threshold Adaptation for Pattern Recognition

DSI3 Sensor to Master Current Threshold Adaptation for Pattern Recognition International Journal of Signal Processing Systes Vol., No. Deceber 03 DSI3 Sensor to Master Current Threshold Adaptation for Pattern Recognition David Levy Infineon Austria AG, Autootive Power Train Systes,

More information

Torsion System. Encoder #3 ( 3 ) Third encoder/disk for Model 205a only. Figure 1: ECP Torsion Experiment

Torsion System. Encoder #3 ( 3 ) Third encoder/disk for Model 205a only. Figure 1: ECP Torsion Experiment Torsion Syste Introduction This lab experient studies dynaics of a torsional syste with single and ultiple degrees of freedo. The effects of various control configurations are studied in later part of

More information

Allocation of Multiple Services in Multi-Access Wireless Systems

Allocation of Multiple Services in Multi-Access Wireless Systems Allocation of Multiple Serices in Multi-Access Wireless Systes Anders Furuskär Wireless@KTH, Royal Institute of Technology, Sweden and Ericsson Research anders.furuskar@era.ericsson.se Abstract This paper

More information

Grade 2 Mathematics Scope and Sequence

Grade 2 Mathematics Scope and Sequence Grade 2 Mathematics Scope and Sequence Common Core Standards 2.OA.1 I Can Statements Curriculum Materials & (Knowledge & Skills) Resources /Comments Sums and Differences to 20: (Module 1 Engage NY) 100

More information

Length, Perimeter and Area

Length, Perimeter and Area Series Student Length, Perieter and Area My nae F Copyright 2009 3P Learning. All rights reserved. First edition printed 2009 in Australia. A catalogue record for this book is available fro 3P Learning

More information

CCSS Mathematics Standards Operations & Algebraic Thinking Third Grade Date Taught

CCSS Mathematics Standards Operations & Algebraic Thinking Third Grade Date Taught Operations & Algebraic Thinking Retaught Reviewed Represent and solve problems involving multiplication and division. Assessed CCSS.MATH.CONTENT.3.OA.A.1 Interpret products of whole numbers, e.g., interpret

More information

Math + 4 (Red) SEMESTER 1. { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations

Math + 4 (Red) SEMESTER 1.  { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations Math + 4 (Red) This research-based course focuses on computational fluency, conceptual understanding, and problem-solving. The engaging course features new graphics, learning tools, and games; adaptive

More information

PREDICTING SOUND LEVELS BEHIND BUILDINGS - HOW MANY REFLECTIONS SHOULD I USE? Apex Acoustics Ltd, Gateshead, UK

PREDICTING SOUND LEVELS BEHIND BUILDINGS - HOW MANY REFLECTIONS SHOULD I USE? Apex Acoustics Ltd, Gateshead, UK PREDICTING SOUND LEVELS BEHIND BUILDINGS - HOW MANY REFLECTIONS SHOULD I USE? W Wei A Cooke J Havie-Clark Apex Acoustics Ltd, Gateshead, UK Apex Acoustics Ltd, Gateshead, UK Apex Acoustics Ltd, Gateshead,

More information

WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 6

WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 6 May 06 VIRGINIA MATHEMATICS STANDARDS OF LEARNING CORRELATED TO MOVING WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 6 NUMBER AND NUMBER SENSE 6.1 The student will identify representations of a given percent

More information

EFFECTS OF MASKING ANGLE AND MULTIPATH ON GALILEO PERFORMANCES IN DIFFERENT ENVIRONMENTS

EFFECTS OF MASKING ANGLE AND MULTIPATH ON GALILEO PERFORMANCES IN DIFFERENT ENVIRONMENTS 1 EFFECTS OF MASKING ANGLE AND MULTIPATH ON GALILEO PERFORMANCES IN DIFFERENT ENVIRONMENTS M. Malicorne*, M. Bousquet**, V. Calettes*** SUPAERO, 1 avenue Edouard Belin BP 43, 3155 Toulouse Cedex, France.

More information

Performance of Multiuser MIMO System Employing Block Diagonalization with Antenna Selection at Mobile Stations

Performance of Multiuser MIMO System Employing Block Diagonalization with Antenna Selection at Mobile Stations Perforance of Multiuser MIMO Syste Eploying Bloc Diagonalization with Antenna Selection at Mobile Stations Feng Wang, Mare E. Bialowsi School of Inforation Technology and Electrical Engineering The University

More information

4 th Grade Curriculum Map

4 th Grade Curriculum Map 4 th Grade Curriculum Map 2017-18 MONTH UNIT/ CONTENT CORE GOALS/SKILLS STANDARDS WRITTEN ASSESSMENTS ROUTINES RESOURCES VOCABULARY September Chapter 1 8 days NUMBERS AND OPERATIONS IN BASE TEN WORKING

More information

Lesson 1: Introduction to Control Systems Technology

Lesson 1: Introduction to Control Systems Technology 8/7/05 Lesson : Introduction to ontrol Systes Technology ET 48a Autoatic ontrol Systes Technology lessonet48a.pptx Learning Objectives After this presentation you will be able to: Explain the function

More information

ACCURATE DISPLACEMENT MEASUREMENT BASED ON THE FREQUENCY VARIATION MONITORING OF ULTRASONIC SIGNALS

ACCURATE DISPLACEMENT MEASUREMENT BASED ON THE FREQUENCY VARIATION MONITORING OF ULTRASONIC SIGNALS XVII IMEKO World Congress Metrology in 3rd Millenniu June 22 27, 2003, Dubrovnik, Croatia ACCURATE DISPLACEMENT MEASUREMENT BASED ON THE FREQUENCY VARIATION MONITORING OF ULTRASONIC SIGNALS Ch. Papageorgiou

More information

International Journal of Advanced Research in Electronics and Communication Engineering (IJARECE) Volume 3, Issue 9, September 2014

International Journal of Advanced Research in Electronics and Communication Engineering (IJARECE) Volume 3, Issue 9, September 2014 International Journal of Advanced Research in Electronics and Counication Engineering Volue 3, Issue 9, Septeber 2014 High Speed Error Detection and Data Recovery Architecture for Video Testing Applications

More information

Overlapping Signal Separation in DPX Spectrum Based on EM Algorithm. Chuandang Liu 1, a, Luxi Lu 1, b

Overlapping Signal Separation in DPX Spectrum Based on EM Algorithm. Chuandang Liu 1, a, Luxi Lu 1, b nd International Worshop on Materials Engineering and Coputer Sciences (IWMECS 015) Overlapping Signal Separation in DPX Spectru Based on EM Algorith Chuandang Liu 1, a, Luxi Lu 1, b 1 National Key Laboratory

More information

Uplink blocking probability calculation for cellular systems with WCDMA radio interface and finite source population

Uplink blocking probability calculation for cellular systems with WCDMA radio interface and finite source population Uplin blocing probability calculation for cellular systes with WCDMA radio interface and finite source population Mariusz Głąbowsi *, Macie Stasia *, Aradiusz Wiśniewsi and Piotr Zwierzyowsi * * Institute

More information

Progressions for the Common Core State Standards in Mathematics

Progressions for the Common Core State Standards in Mathematics Progressions for the Common Core State Standards in Mathematics c Common Core Standards Writing Team 8 The Progressions are published under the Creative Commons Attribution (CC BY) license For information

More information

Imagine Schools Summer Math Challenge

Imagine Schools Summer Math Challenge Imagine Schools Summer Math Challenge Third Grade Answer Key When completing the problems we need to show all of our work and show all of our thinking. Compare your work to ours, especially if your answer

More information

Enhanced Algorithm for MIESM

Enhanced Algorithm for MIESM Recent Patents on Signal Processing, 9,, -7 Enhanced Algorith for MIESM R. Sandanalakshi *, Shahid Mutaz * and Kazi Saidul * Open Access University of Aveiro, Aveiro, Portugal Abstract: The link adaptation

More information

Madison County Schools Suggested 2 nd Grade Math Pacing Guide,

Madison County Schools Suggested 2 nd Grade Math Pacing Guide, Madison County Schools Suggested 2 nd Grade Math Pacing Guide, 2016 2017 The following Standards have changes from the 2015-16 MS College- and Career-Readiness Standards: Significant Changes (ex: change

More information

Camera 2 Lens 4 Filters 7 Film Image Sensor 9 Flash Units 12 Film v. Digital 17 Equipment Selection Guidelines 21 SAMPLE. Resource List.

Camera 2 Lens 4 Filters 7 Film Image Sensor 9 Flash Units 12 Film v. Digital 17 Equipment Selection Guidelines 21 SAMPLE. Resource List. Basic Evidence Photography Contents Table of Contents Equipent Considerations. 2 Caera 2 Lens 4 Filters 7 Fil Iage Sensor 9 Flash Units 12 Fil v. Digital 17 Equipent Selection Guidelines 21 Scene Photography

More information

AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School

AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School Copyright 2008 Pearson Education, Inc. or its affiliate(s). All rights reserved AGS Math Algebra 2 Grade

More information